Answers
The values of the function g⁻¹(2) is {(12, 0), (14, -4), (-4, -14), (-18, 18)}, h⁻¹(x) is 11x / (x + 14) and (h o h⁻¹)(2) is 235 / 176
What is a functionIn mathematics, a function is a relation between a set of inputs, called the domain, and a set of outputs, called the range, such that each input is associated with exactly one output.
More formally, a function f from a set A to a set B is a rule or correspondence that assigns to each element x in the set A exactly one element y in the set B. The set A is called the domain of the function, and the set B is called the range or codomain. The output y is called the image of x under the function f, and is often denoted as f(x).
From the question;
g = {(0, 6), (2, -7), (7, 2), (9, -9)}
h(x) = (x + 14) / 11
g⁻¹(2) = {(12, 0), (14, -4), (-4, -14), (-18, 18)}
h⁻¹(x) = 11x / (x + 14)
(h o h⁻¹)(2) = 235 / 176
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Related Questions
Find −2⋅[4x+1(−2)]
.Select one:
a. 8
b. -40
c. 20
d. -16
Answers
The expression −2⋅[4x+1(−2)] is d. -16.
How to find the expression?To simplify the expression −2⋅[4x+1(−2)], we first need to evaluate the expression inside the square brackets:
4x + 1(-2) = 4x - 2
Then we can substitute this back into the original expression:
−2⋅[4x+1(−2)] = −2⋅(4x - 2)
Using the distributive property, we can multiply -2 by each term inside the brackets:
−2⋅(4x - 2) = -8x + 4
Therefore, the answer is d. -16.
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What is the conversion of 152cm in feet ?
Answers
The conversied value of 152 centimetres in feet is equals to the 4.98 feet.
Unit conversion, by definition, is the conversion between different units and measurements of the same quantity done in the process of multiplication or division. In mathematics, conversion is the process of changing a value from one form to another, such as converting a value from inches to millimeters, for time minutes to hours, or other units.
How to convert centimeters to feet : 1 meter is a measure of length and equals approximately 3.28 feet.
152 meters = 152×3.28 feet = 498.56 feet --(1)
But we need to convert 152 centimeters to feet. So change meters to centimeters. As you know, 1 meter is 100 centimeters, so 152 meters = 15200 centimeters --(2). Now from equations (1) and (2),
15200 centimeters = 498.56 feet,
Divide both parts by 100,
=> 152 centimetres = 498.56/100 feet
= 4.98 feet
Hence required value is 4.98 feet.
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On a coordinate plane, 2 triangles are shown. The first triangle has points X (2, 5), Y (2, 3), Z (4, 3). The second triangle has points X prime (negative 2, negative 5), Y prime (negative 2, negative 3), Z prime (negative 4, negative 3). What are the vertices for the final image after applying the composition T−2,4 ◦ RO,180° to ΔXYZ?
Answers
Herefore, the vertices of the final image after applying the composition T−2,4 ◦ RO,180° to ΔXYZ are X''(-2, -1), Y''(0, -1), and Z''(0, 1).
First, we need to perform a reflection over the x-axis and then a translation of 2 units to the left and 4 units up. This is the transformation T−2,4.
Next, we need to perform a rotation of 180 degrees about the origin. This is the transformation RO,180°.
We can apply these transformations to each vertex of the first triangle ΔXYZ to obtain the coordinates of the final image.
Applying T−2,4 to each vertex:
T−2,4(X) = (2, 5) → reflection over x-axis → (2, -5) → translation 2 units left and 4 units up → (0, -1)
T−2,4(Y) = (2, 3) → reflection over x-axis → (2, -3) → translation 2 units left and 4 units up → (0, 1)
T−2,4(Z) = (4, 3) → reflection over x-axis → (4, -3) → translation 2 units left and 4 units up → (2, 1)
Applying RO,180° to each vertex:
RO,180°(0, -1) = (0 × cos(180°) - (-1) × sin(180°), 0 × sin(180°) + (-1) × cos(180°)) = (0, 1)
RO,180°(0, 1) = (0 × cos(180°) - 1 × sin(180°), 0 × sin(180°) + 1 × cos(180°)) = (0, -1)
RO,180°(2, 1) = (2 × cos(180°) - 1 × sin(180°), 2 × sin(180°) + 1 × cos(180°)) = (-2, -1)
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Answer:
x is (-4,-1)
y is (-4,1)
z is (-6,1)
Step-by-step explanation:
Write the solution set of the given homogeneous system in parametric vector form.3x1+3x2+6x3=0−6x1−6x2−12x3=0−4x2+4x3=03x1+3x2+6x3=0−6x1−6x2−12x3=0−4x2+4x3=0 where the solution set is x=⎡⎢⎣x1x2x3⎤⎥⎦x=[x1x2x3]
Answers
The solution set of the given homogeneous system in parametric vector form is x = (0, 0, t), where t is a real number
Vectors are an important mathematical tool for representing complex data and equations. In this problem, we are given a homogeneous system of equations and asked to write the solution set in parametric vector form.
The homogeneous system consists of three equations: 3x₁ + 3x₂ + 6x₃ = 0, -6x₁ - 6x₂ - 12x₃ = 0, and -4x₂ + 4x₃ = 0. To solve this system, we need to use linear algebra techniques, such as Gaussian elimination, to find the solution set.
By using Gaussian elimination, we can reduce the system to a simpler system, which has the form x₁ = 0, x₂ = 0, and x₃ = t, where t is a real number. This can be written as a parametric vector form as x = (0, 0, t).
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how to convert 5/6 as percent?
Answers
5/6 can be expressed as 83% in percentage form.
Percentages are a way of expressing a fraction as a portion of 100. This makes it easier to compare fractions and understand their relative sizes. In this case, we will be converting the fraction 5/6 into a percentage.
To convert 5/6 into a percentage, we need to first divide the numerator (top number) by the denominator (bottom number) and then multiply the result by 100. This will give us the percentage equivalent of the fraction.
So, let's do the math:
5 ÷ 6 = 0.83333...
We can round this to two decimal places, giving us:
0.83
Now, we need to multiply this by 100 to convert it into a percentage:
0.83 × 100 = 83%
It's important to remember that percentages are a way of expressing a portion of 100. So, when we say that 5/6 is 83%, we are saying that 5/6 is equivalent to 83 out of 100. This means that if we were to divide something into 100 equal parts, 83 of those parts would be equivalent to 5/6.
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John is creating a Thanksgiving display at the store where he works, using only canned pumpkin and canned green beans. He needs to maintain a ratio of pumpkin to green beans of 4 to 2. If he wants to use a total of 102 cans, how many cans of green beans should he use?
Answers
Using the ratios we know that out of 102 cans, 34 cans will be of green beans that John will use.
What is the ratio?In mathematics, a ratio shows how frequently one number appears in another.
For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons.
Oranges make up 8:14 of the total fruit, whereas lemons make up 6:8 of the total fruit.
If you enter this into a calculator, the result will come out as 0.6 decimal.
In other words, 3/5 is equal to any two numbers that divide to provide the same result.
So, the total cans that John wants to use:
102
Then, the ratio of pumpkin to green beans:
4:2
Sum: 4+2 = 6
Then, out of 102 cans, the cans of green beans would be:
= 102 * 2/6
= 102 * 1/3
= 34
Therefore, using the ratios we know that out of 102 cans, 34 cans will be of green beans that John will use.
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What is 64 times pi?
Answers
As per multiplication, the value of 64 times π is 200.96
Multiplication is a fundamental arithmetic operation that involves repeated addition. In this case, we are tasked with finding the result of multiplying 64 and pi. Pi is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is commonly denoted by the Greek letter "π".
To find the product of 64 and pi, we simply need to multiply these two numbers. Multiplication is typically represented using the "×" symbol or the "dot" symbol ( · ). In this case, we can write:
64 × π
Since pi is a mathematical constant, we typically use an approximation of its value in calculations. The commonly used approximation is 3.14, which is accurate to two decimal places. Thus, we can substitute 3.14 for pi and obtain:
64 × 3.14
Using the distributive property of multiplication, we can break down 64 into smaller factors that are easier to multiply with 3.14. For example, we can write:
64 = 60 + 4
Then, we can use the associative property of multiplication to group the factors in a way that makes the calculation easier. For instance, we can write:
64 × 3.14 = (60 × 3.14) + (4 × 3.14)
Now, we can use our knowledge of multiplication tables to calculate the products on the right-hand side. We get:
60 × 3.14 = 188.4
4 × 3.14 = 12.56
Therefore, the final result is:
64 × π = 188.4 + 12.56 = 200.96
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If the dimensions of a rectangular playground ca be represented as (3x + 16) and (2x + 3), then what is the area of the playground?
Answers
Answer:
6x² + 41x + 48
Step-by-step explanation:
Area (A) = l × w
Therefore,
A = (3x + 16)(2x + 3) (distribute)
A = 6x² + 9x + 32x + 48 (combine like terms)
A = 6x² + 41x + 48
Therefore, the area of the playground is 6x² + 41x + 48.
Express the following fraction in simplest form using only positive exponents. \frac{12u^{10}}{4(u^{3})^4}
4(u
3
)
4
12u
10
Answers
The simplified form of the fraction is 3/u², where u is a positive real number.To simplify this fraction, we can first simplify the denominator by using the exponent rule that says: [tex](a^{m}) ^{n} =(a^{m*n})[/tex]. Applying this rule, we get:
4(u³)⁴ = 4u³*⁴ = 4u¹²
Now, we can substitute this value back into the original fraction and simplify further:
(12u¹⁰)/(4(u³)⁴) = (12u¹⁰)/(4u¹²)
We can simplify the fraction further by dividing both the numerator and the denominator by the greatest common factor (GCF) of 12 and 4, which is 4. Also, we can simplify the exponent by using the exponent rule that says: [tex]\frac{a^{m} }{a^{n}} =a^{m-n}[/tex]. Applying these steps, we get:
(12u¹⁰)/(4u¹²) = (3u¹⁰)/(u¹²) = 3/u²
Therefore, the simplified form of the fraction is 3/u², where u is a positive real number.
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A town is designing a rectangular park that will be 600 feet by 1000 feet. A rectangular area of the park for swing sets will be 25 feet by 100 feet. On a scale drawing of the park the swing set area is 0. 5 inch by 2 inches. What is the dimensions of the park on the scale drawing?
Answers
The dimensions of the park on the scale drawing are 2 inches by 0.5 inches
The dimensions of the park on the scale drawing can be determined by using the scale factor between the actual dimensions and the scale drawing dimensions. The scale factor can be found by dividing the actual dimensions by the scale drawing dimensions.
Scale factor for length = Actual length / Scale drawing length = 1000 feet / 2 inches = 500 feet per inch
Scale factor for width = Actual width / Scale drawing width = 600 feet / 0.5 inches = 1200 feet per inch
Now, we can use the scale factor to determine the dimensions of the park on the scale drawing.
Length of park on scale drawing = Actual length / Scale factor for length = 1000 feet / 500 feet per inch = 2 inches
Width of park on scale drawing = Actual width / Scale factor for width = 600 feet / 1200 feet per inch = 0.5 inches
Therefore, on the scale drawing, the park measures 2 inches by 0.5 inches.
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mike wrote 4 checks for $30 each, withdrew another $40 and deposited $80. What was the overall change in the amount of money he had?
Answers
((30$ x4)+40$)-80$=80$
in a study of environmental lead exposure and iq, the data was collected from 221 221 children in cincinnati, ohio. their iq scores at age of 7 7 approximately follow a normal distribution with mean of 87.0 87.0 and standard deviation of 11.4. 11.4 . suppose one child had an iq of 55. 55 . the researchers would like to know whether an iq of 55 55 is an outlier or not. calculate the lower fence for the iq data, which is the lower limit value that the iq score can be without being considered an outlier. keep a precision level of two decimal places for the lower fence.
Answers
The lower fence is 56.2428
As the Iq score < lower fence, Iq score is outlier
What is average/mean?
The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.
data was collected from 221 children
iq scores at age of 7 approximately follow a normal distribution with mean of 87.0 and standard deviation of 11.4.
Let X=iq scores
distribution is
X ~ [tex]N( \mu=87, \sigma=11.4)[/tex]
If one child has iq of 55,
To find outlier, find the lower fence
lower fence = [tex]Q_{1}-1.5( Q_{3} - Q_{1} )[/tex]
[tex]Q_{1} = \mu + Z_{0.25}\sigma[/tex]
[tex]Q_{3} = \mu + Z_{0.75}\sigma[/tex]
Using excel function,
[tex]Z_{0.25} = -0.67[/tex]
[tex]Z_{0.75} = 0.67[/tex]
[tex]Q_{1} = \mu + Z_{0.25}\sigma[/tex]
=87+(-0.6745)11.4
= 79.3107
[tex]Q_{3} = \mu + Z_{0.75}\sigma[/tex]
= 87+(0.6745)11.4
= 94.6893
lower fence = [tex]Q_{1}-1.5( Q_{3} - Q_{1} )[/tex]
= 79.3107 -1.5(94.6893 - 79.3107 )
= 56.2428
So, the lower fence is 56.2428
As the Iq score < lower fence, Iq score is outlier
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The measure of each exterior angle of a regular polygon of 12 sides is ______ .
A.45°.
B 75°.
C 60°.
D 30°.
Answers
Answer:
Step-by-step explanation:
The sum of exterior angles of a polygon is 360
Each exterior angle = 360/n
where n is the number of sides
360/12 = 30
Answer is D
what is the surface area of the cylinder? Use 3.14 for π and round to the nearest hundredth.
height=11 Radius=8 in.2
Answers
The surface area of the cylinder is approximately 951.44 square inches, rounded to the nearest hundredth.
What is the surface area of the cylinder?
To find the surface area of a cylinder, we need to find the sum of the areas of its curved surface (lateral area) and its two circular bases.
The formula for the lateral area of a cylinder is L = 2πrh, where r is the radius and h is the height. The formula for the area of each circular base is B = πr^2.
We are given that the height of the cylinder is 11 inches and the radius is 8 inches. Therefore, we can calculate:
L = 2πrh = 2 × 3.14 × 8 × 11 = 549.52 in²
B = πr^2 = 3.14 × 8^2 = 200.96 in²
The total surface area is the sum of the lateral area and the two base areas:
Surface area = L + 2B = 549.52 + 2(200.96) = 951.44 in²
Hence, the surface area of the cylinder is approximately 951.44 square inches, rounded to the nearest hundredth.
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what is balance chemical equations calculator
Answers
A balanced chemical equation calculator is an online tool that assists in the balancing of chemical equations by automatically computing the coefficients for each reactant and product to verify that the equation obeys the rule of mass conservation.
According to the law of conservation of mass, matter cannot be generated or destroyed in a chemical process, just rearranged.
A balanced chemical equation includes the chemical formulae for the reactants and products of a chemical reaction, as well as the factors that balance the amount of atoms of each element on both sides of the equation. Balancing a chemical equation is a necessary step in addressing many sorts of chemistry issues, such as forecasting the quantity of product generated or reactant required in a reaction.
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Write the given rate as a fraction in simplest form 135 points in 225 minutes
Answers
The answer to the question is 17/140 fraction.
What is fraction?A fraction is a numerical expression that represents a part of a whole or a ratio of two numbers. It consists of two parts: a numerator (the number on top) and a denominator (the number on the bottom). For example, 3/4 is a fraction that represents 3 parts out of 4. It can also represent the ratio of 3 to 4.
To move the fraction to each box, you would need to multiply the denominator of the first fraction (10) by the numerator of the second fraction (14). The result is 140. Then, you would add the numerator of the first fraction (3) to the numerator of the second fraction (14), giving you 17. The answer to the question is 17/140.
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Reflect the figure over the line l
Answers
The required reflection of the given figure across the line y = x is shown.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.
Here,
A figure on a coordinate plane is shown, and we have to determine the reflection of that figure across the line y = x,
In order to determine the reflection across the line y = x,
The Abscissa inside the line gets interchanged by the ordinate of the corresponding Absciss as.
(x, y) ⇒ (y, x)
Thus, the required reflection of the given figure across the line y = x is shown.
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A pets shop amount of rabbits is approximated by R(t)=2t2/3+10 in t weeks. After how many weeks, t, will the pet shop have 18 rabbits.
Answers
For a pet shop to approximate 18 rabbits, it would take 6 weeks.
In the question, we have a formula that represents the number of rabbits available with them.
The amount of rabbits is dependent on another variable, Time.
The variables depend on each other, and the number of rabbits with the pet shop relies on the number of weeks.
R(t)= 2t(2/3) + 10
If the number of rabbits is 18, then the value of the equation would be equal to 18. [R(t) = 18]
18= 2t(2/3) +10
18= 4t/3 + 10
8 X 3 = 4t
24/4 = t
6 = t
Therefore, 18 rabbits are approximated by the pet store in 6 weeks.
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Solve. It’s all real numbers are solutions, click on all reels if there’s no solution click on no solution.
Answers
Answer:
no solution
Step-by-step explanation:
7 | y + 6 | + 3 < - 18 ( subtract 3 from both sides )
7 | y + 6 | < - 21 ( divide both sides by 7 )
| y + 6 | > - 3
the absolute value function cannot be negative
thus the equation has no solution
Which table of value represents the linear function y=4x+1
Answers
The required value table is
x -1 0 1 2 3
y -3 1 5 9 13
Value table of a function:To find the value table of a linear function take, any values for 'x' and from that find the 'y' values for each corresponding value of 'x'.
Here in this problem, we are taking x values as 0, 1, 2, and 3. Now substitute each of the 'x' values and find the 'y' values and make the table of values.
Here we have
The linear function given is y = 4x + 1
To find the value table we are taking x values as - 1, 0, 1, 2, 3
At x = - 1 => y = 4(-1) + 1
=> y = - 4 + 1
=> y = - 3
At x = 0 => y = 4(0) + 1
=> y = 0 + 1
=> y = 1
At x = 1 => y = 4(1) + 1
=> y = 4 + 1
=> y = 5
At x = 2 => y = 4(2) + 1
=> y = 8 + 1
=> y = 9
At x = 3 => y = 4(3) + 1
=> y = 12 + 1
=> y = 13
Therefore,
The required value table is
x -1 0 1 2 3
y -3 1 5 9 13
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a company has two locations with a total of 23 employees. if four times the number of employees at the larger location is four greater than seven times the number of employees at the smaller location, how many employees are at each location, how many employees are at each location??
Answers
Consider that X is the staff so at tinier location while Y is workforce at the origin. 9 people are employed at tiny site, compared to 24 at larger location (s).Is the right answer.
X + Y = 33
It is assumed that two times the number of employees at the larger location is three times the number at the smaller location. The equation for this is as follows:
2Y = 5X + 3
Because we already know that X + Y = 33, we can write it as X = 33 - Y.
Let us now plug X into the above equation.
2Y = 5*(33 - Y) + 3
2Y = 165 - 5Y + 3
7Y = 168
Y = 168 / 7
Y = 24
Let us now compute the value of X.
X + Y = 33
X + 24 = 33
X = 9
The smaller location employs 9 people, while the larger location employs 24 people (s).
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A loading dock at a warehouse has a ramp that is 16 feet in length. The length from the edge of the loading dock to the end of the ramp is 14 feet. What is the height of the loading dock to the nearest tenth of a foot?
Answers
The required height of the loading dock is approximately 7.746 feet (to the nearest tenth of a foot).
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
We can use the Pythagorean theorem to solve this problem. Let's call the height of the loading dock "h". The ramp, the distance from the edge of the loading dock to the end of the ramp, and the height of the loading dock form a right triangle. The Pythagorean theorem states that for any right triangle, the square of the length of the hypotenuse (the ramp in this case) is equal to the sum of the squares of the other two sides (the height and the distance from the edge of the loading dock to the end of the ramp).
In this case, we can write:
16² = h² + 14²
256 = h² + 196
60 = h²
Taking the square root of both sides, we get:
h = √60
h ≈ 7.746
Therefore, the height of the loading dock is approximately 7.746 feet (to the nearest tenth of a foot).
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how to convert 162cm to feet?
Answers
We can convert 162 cm to feet by multiplying by the conversion factor to get , 162 cm equivalent to 5.32 feet .
The length or the distance between two points is measured with the help of units such as : meter , centimeter , inches , feet .
We have to convert the length of 162 centimeter to feet ;
We know that , 1 centimeter is approximately equal to 0.0328 feet ;
So , the conversion factor is 0.0328 ;
So , for the conversion we multiply the given length by 0.0328 ;
On multiplication we get ;
⇒ 162 centimeter = 162 × 0.0328 ;
⇒ 162 centimeter = 5.3136 feet .
Therefore , 162 cm is approximately equal to 5.32 feet .
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A gem is cut in the shape of two square pyramids that are joined at their base. The length of each side of the base is 6cm and the height of each pyramid is 4cm. Determine the surface area of the composite solid. (A)72cm2 (B)87cm2 C)103cm2 D)120cm2
Answers
The solution is, pyramid's volume is 96 cm^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
from the given information we get,
So we know that the bar edge length is 8 cm (6+2) and the height is 6 cm....
And a pyramid's volume is 1/3 of a prism's volume.
If the base is square and both sides are 6 cm, the area is 36 cm^2.
Then you multiply that area by the height: 288 cm^3.
BUT you have divide that by 3,
because a pyramid's volume is 1/3 of a prism's volume:
288/3= 96 cm^3.
Answer: 96 cm^3
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Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C
and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P91, the 91-
percentile. This is the temperature reading separating the bottom 91% from the top 9%.
P91
=
Answers
The temperature separating the bottom 91% from the top 9% is given as follows:
P91 = -1.34ºC.
How to obtain the measure using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
[tex]\mu = 0, \sigma = 1[/tex]
For the P91, the temperature is obtained as X when Z has a p-value of 0.91, so X when Z = 1.34, hence:
1.34 = X/1
X = 1.34ºC.
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5+5multiplied 5-5 divided by 5
Answers
how to find p value ti 84
Answers
The TI-84 calculator can be used to find the p-value associated with a hypothesis test, given the test statistic and the degrees of freedom (df).
Here are the steps to find the p-value on a TI-84 calculator:
Press the "2nd" button and then the "VARS" button (which is above the "STAT" button). This will open the DISTR menu.
Select "3: tcdf" from the menu by scrolling down with the arrow keys and pressing "ENTER".
Enter the test statistic and degrees of freedom. For a two-tailed test, enter the test statistic with the appropriate sign (positive or negative) and enter a very large number (such as 100 or 999) for the second argument.
For a one-tailed test, enter the test statistic and select "1" or "2" for the third argument, depending on the direction of the test.
Press "ENTER" to calculate the p-value.
The result displayed on the calculator screen will be the p-value associated with the hypothesis test, based on the test statistic and degrees of freedom entered.
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The question is -
How to find the p-value from the TI-84 calculator?
An organization promoting good nutritional habits collected data on fat calories in foods from 9 fast food
staurants. The values represent the number of fat calories in a small order of french fries from each restaurant.
160, 106, 104, 113, 160, 103, 161, 89, 96
What is the median number of fat calories in a small order of fries at these restaurants?
to find the MEDIAN, arrange the #s in order and find the middle #.
Answers
If the total number of calories is X, then the lowest number is 89, which is 43% of the total, or 206.98 calories. Thus, the response is A.
The middle value of the provided collection of data, when organised in order, is known as the median in statistics. It is possible to arrange the data or observations in either ascending or descending order. For instance, the median of 2,3,4, is 3. The median, a form of average used to determine the center value in mathematics, is another average.
Two easy steps are used to determine the median of a dataset. Put the information provided in ascending order first. The middle data must be chosen next.
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Logan owns a trucking company. For every truck that goes out, Logan must pay the
driver $16 per hour of driving and also has an expense of $1.25 per mile driven for
gas and maintenance. On one particular day, the driver drove an average of 20 miles
per hour and Logan's total expenses for the driver, gas and truck maintenance were
$205. Write a system of equations that could be used to determine the number of
hours the driver worked and the number of miles the truck drove. Define the
variables that you use to write the system.
Answers
Answer:
Let's define the variables:
h: the number of hours the driver worked.
d: the number of miles the truck drove.
We know that the driver is paid $16 per hour, so the cost of the driver's labor is:
16h
We also know that the truck incurs an expense of $1.25 per mile driven, so the cost of gas and maintenance is:
1.25d
The total expenses for the driver, gas, and maintenance were $205, so we can set up the following equation:
16h + 1.25d = 205
We also know that the average speed of the truck was 20 miles per hour, so we can set up the following equation:
d = 20h
So the system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove is:
16h + 1.25d = 205
d = 20h
These two equations can be solved simultaneously to find the values of h and d that satisfy both equations.
when I solved that i got no real solutions, is that true? please help tyvm
Answers
Answer:
true
Step-by-step explanation:
log2(5x+3)=log2(4x-3)
log2(5x+3)/log2(4x-3)
division turns to minus
log2(5x+3-4x-3)
log2(x)