Answer: 1.8
Let's put our whole number and fraction side by side so we can visualize the problem we're trying to solve:
3 ÷
5
3
The trick to working out 3 divided by 5/3 is similar to the method we use to work out dividing a fraction by a whole number.
All we need to do here is multiply the whole number by the numerator and make that number the new numerator. The old numerator then becomes the new denominator. Let's write this down visually:
3 x 3
5
=
9
5
So, the answer to the question "what is 3 divided by 5/3?" is:
9
5
Sometimes, after calculating the answer we can simplify the resulting fraction down to lower terms. In this example though 9/5 is already in it's lowest possible form.
If you made it this far you must really love your fractions and dividing whole numbers by them. Hopefully this simple guide was easy for you to follow along and you can now go forth and divide more whole numbers by as many fractions as your heart desires.
Convert 3 divided by 5/3 to Decimal
One last little calculation before you go. It's common to want to express your result as a decimal and, to do that, all you need to do is divide your numerator by your denominator:
9
5
= 1.8
Mr. Leonard is renting a car for one day. The table below shows the total amount he will be charged for the car based on the number of miles he drivesWhich equation best represents c, the number of dollars Mr. Leonard should be charged for driving m miles?
Answer:
t = r + cm
Step-by-step explanation:
t = total amount of money spent on rental car
r equals the original payment amount (like how much it cost to even attain tthe car)
c = the number of dollars for every mile
m = amount of miles
You would multiply c and m since every mile the dollars goes up by itself
You need to add the original payment, r, to find the correct total
If there is no original payment then the formula could also just be :
t = cm
total = miles x money per 1 mile
I could provide better explanation if I had the chart you mentioned but hope this helps!
HELP! A paper airplane is thrown from the top of a treehouse. The paper airplane flies 16 feet through the air and lands in a sandbox that is 9 feet from the base of the tree that the treehouse is in.
What is the angle of depression that the paper airplane is flying down at?
Explain your process
The angle of depression that the paper airplane is flying down at 55. 78 degrees
How to determine the valueNote that the different trigonometric identities in mathematics are;
sinetangentcotangentsecantcosecantcosineThese identities also have their ratios are;
sin θ = opposite/hypotenuse
cos θ = adjacent//hypotenuse
tan θ = opposite/adjacent
From the information given, we have;
Using the cosine identity
Adjacent = 9 feet
Hypotenuse = 16 feet
Substitute the values
cos θ = 9/ 16
divide the values
cos θ = 0. 5625
θ = 55. 78 degrees
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Answer:
55.8° (nearest tenth)
Step-by-step explanation:
The angle of depression is the angle between the horizontal line of sight at the top of the treehouse and line of sight to the sandbox (the flight path of the paper airplane). (See attached diagram).
To find the angle of depression, we can use the cosine trigonometric ratio. The cosine of an angle is equal to the ratio of the length of the side adjacent the angle to the length of the hypotenuse.
[tex]\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]
In this case, the length of the side adjacent the angle of depression is equal to the distance between the base of the tree and the sandbox, so A = 9 ft. The hypotenuse is the distance the airplane flies through the air, so H = 16 ft.
Substitute these values into the cosine ratio and solve for θ:
[tex]\cos (\theta)=\dfrac{9}{16}[/tex]
[tex]\theta=\cos^{-1}\left(\dfrac{9}{16}\right)[/tex]
[tex]\theta=55.7711336...^{\circ}[/tex]
[tex]\theta=55.8^{\circ}\; \sf (nearest \; tenth)[/tex]
Therefore, the angle of depression that the paper airplane is flying down at is 55.8° (nearest tenth).
Find the sum or difference.
1. -80+77 =
2. 77 + 160 =
3. -64+ (-33) =
4. 104-(-92) =
5. -105-(-122) =
6. 185-(-154) =
7. -53-(-59) =
8. -6+ (-35) =
9. 15-(-26)-(-39) =
10. -93 +191+ (-179)
Find the product or quotient.
11. 60+ 12 =
12. -194+ (-2)=
13. 88 (-2) =
14. -12 10 =
15. -10 (-11) =
16. 90+ (-6)=
17. 3 (-59) =
18. -7 (-2) =
19. 100 (0) =
20.100/0=
After answering the presented question, we may conclude that the solution of the expressions are as follows.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression (such as addition, subtraction, multiplication, or division) is made up of numbers, variables, and functions. It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the phrase 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.
the solution of the expressions are as follows -
-3237-97196173396-4152-8172-196-176-12011084-177140undefined (division by zero is undefined)To know more about expressions visit :-
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I have a past due balance of $87.50 and my new charges are $75.00. I was also charged a late fee of 15% of my past due balance. What is my new total?
Answer:
Your late fee is $13.13 (15% of $87.50).
Your past due balance plus the late fee equals $100.63 ($87.50 + $13.13).
Adding the new charges of $75.00 to $100.63, your new total is $175.63.
Therefore, your new total is $175.63.
Find the angles of the circle with the information given
The measure of arc BC is 40⁰.
The measure of angle BPE is 50⁰.
The measure of angle BAD is 55⁰.
The measure of angle AOP is 110⁰.
The measure of angle AFB is 70⁰.
The value of arc DE is 110⁰.
What is the measure of the angles?The measure of each angle is calculated as follows;
if arc BA = arc CD, then value of arc BC is calculated as follows;
BA + CD + BC = 180 (sum of angles of a semi circle)
arc CD = 70 (intersecting chord theorem)
70 + 70 + BC = 180
140 + BC = 180
BC = 180 - 140
BC = 40
Arc AE = 70⁰, since angle EOF = 70 (vertical opposite angles)
Arc AB = 180 - (AE + BC)
arc AB = 180 - (70 + 40)
arc AB = 70⁰
The value of angle P is calculated as follows;
arc EB = 70 + 70 = 140⁰
m∠BPE = ¹/₂ (140 - 40)
m∠BPE = 50⁰
m∠BAD = ¹/₂ (BC + CD) (intersecting chord theorem)
m∠BAD = ¹/₂ (40 + 70)
m∠BAD = 55⁰
m∠AOP = (AB + BC) (intersecting chord theorem)
m∠AOP = (70 + 40)
m∠AOP = 110⁰
m∠AFB = (AB) (intersecting chord theorem)
m∠AFB = 70⁰
The value of arc DE is calculated as follows;
DE = 360 - (180 + CD) (sum of angles of a circle)
DE = 360 - (180 + 70)
DE = 360 - 250
DE = 110⁰
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The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 10. There are two dots above 6, 7, and 9. There are three dots above 8.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.
The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.
The median is the best measure of center, and it equals 8.
How to solveA measure of center is important to understand the central tendency of data.
In this case, the best measure of center for the given data is the median.
The median is preferred over the mean because it is not influenced by extreme values.
By looking at the line graph, it is clear that there are more data points around 8 than any other value.
Therefore, the median would be closest to 8, making it the best measure of center. The median can be calculated by ordering the data from smallest to largest and selecting the middle value.
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The Gallup Poll reported that 48% of Americans spend more than an hour a day using the Internet. If 4 people are selected at random, find the probability that they all spend more than an hour a day using the Internet. Please round the final answer to 2 or 3 decimal places. 4 people spend more than an hour a day using the internet
The probability that all 4 people spend more than an hour a day using the Internet is 0.053 or 5.3%.
The given problem is an example of a binomial probability distribution, where there are only two outcomes - success and failure. Here, success means spending more than an hour a day using the internet, and failure means spending an hour or less a day.
The probability of success is p = 0.48, and the probability of failure is q = 1 - p = 0.52.
To find the probability that all 4 people spend more than an hour a day using the Internet, we need to use the formula for the binomial probability distribution:
P(X = k) = (n choose k) * [tex]p^{k }* q^{(n-k)[/tex]
Here, n = 4 (the number of people selected), and k = 4 (the number of people who spend more than an hour a day using the Internet).
Plugging in the values, we get:
P(X = 4) = (4 choose 4) * 0.48⁴ * 0.52⁴⁻⁴ = 0.053
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Area and perimeter assignment. (9th Grade geometry)
Thus, the perimeter of the shown triangle using the distance formula is found as 13.45 units.
Explain about the perimeter:A path that encircles a region is referred to as a perimeter. Adding the lengths of every one of the sides together is the simplest formula for calculating the perimeter. The word circumference, that only encompasses a circle's perimeter, is used to describe the distance around a circle.
Given that:
coordinates of triangle: A(5,3) , B(1,5) and C(3,0)Perimeter = sum of all sides
Perimeter = AB + BC + CA
Estimate each distance using the distance formula:
d = √(x2 - x1)² + (y2 - y1)²
AB = √(1 - 5)² + (5 - 3)²
AB = √(-4)² + (-2)²
AB = √(16 + 4)
AB = √20
BC = √(3 - 1)² + (0 - 5)²
BC = √(2)² + (-5)²
BC = √(4 + 25)
BC = √29
CA = √(5 - 3)² + (3 - 0)²
CA = √(2)² + (3)²
CA = √(4 + 9)
CA = √13
Perimeter = AB + BC + CA
Perimeter = √20 + √29 + √13
Perimeter = 4.47 + 5.38 + 3.60
Perimeter = 13.45 units.
Thus, the perimeter of the shown triangle using the distance formula is found as 13.45 units.
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Write and simplify this numerical expression. Forty-two divided by seven plus the quantity three divided by six
Therefore , the solution of the given problem of expression comes out to be 6.5 is the abbreviated numerical expression.
What is an expression?Shifting numbers, which can be expanding, variable diminishing, or blocking, should be used instead of random estimations. Only through exchanging goods like tools, expertise, or answers to problems could they assist one another. The explanation on the reality equation may include the justifications, elements, or mathematical claims for tactics like increased argumentation, falsification, and blending.
Here,
The mathematical expression is expressed as follows:
=> 42 / 7 + (3 / 6)
We can use the division operations to make the expression simpler:
=> 7 /42 = 6
=> 6 / 3 = 0.5.
The statement is thus more easily expressed as follows
=> 6 + 0.5
When we add the two numbers, we get:
=> 6.5
Therefore, 6.5 is the abbreviated numerical expression.
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There are three colored cookie jars. One jar is blue, another green and the last one pink. The blue jar contains 7 chocolate chip and 12 sugar cookies. The green jar contains 6 chocolate chip, 8 sugar and 5 peanut butter cookies. The pink jar contains 15 chocolate chip, 9 sugar and 13 peanut butter cookies. One of the three cookie jars is chosen at random. The probabilities that the blue jar, green jar, or pink jar will be chosen are 1⁄2 , 1⁄4 , and 1⁄4 , respectively. A cookie is then chosen at random from the chosen jar. What is the probability that the pink jar was chosen, if it is known that the cookie was a sugar cookie?
The probability that the pink can was chosen because the cookie was a sugar cookie is about 0.282, or about 28.2%.
Why do you think probability?Probability is simply how likely something is to happen. When we are uncertain about the outcome of an event, we can talk about the probability of certain outcomes - how likely they are. The analysis of events driven by probabilities is called statistics.
We can use Bayes' theorem to calculate the probability that the pink can was chosen because the cookie was a sugar cookie. Let P(P) be the probability that the pink jar was chosen, P(S) be the probability that the chosen cookie was a sugar cookie, and P(S|P) be the probability that a sugar cookie was chosen given that the pink one was chosen. Then we have:
P(P|S) = P(S|P) * P(P) / P(S)
We can calculate all these probabilities as follows:
P(S|P) = 9 / (15 9 13) = 9/37
This is the probability of choosing a sugar cookie, given that the pink can was chosen.
P(P) = 1/4
This is the probability of choosing the pink can.
To calculate P(S), we need to consider all possible options for choosing a sugar cookie. We can choose a sugar loaf from a blue, green or pink jar. So:
P(S) = P(S|B) * P(B) P(S|G) * P(G) P(S|P) * P(P)
where P(S|B) is the probability of choosing a sugar cookie from the blue jar, P(G) is the probability of choosing the green jar, and so on. We can calculate all these probabilities as follows:
P(S|B) = 12 / (7 12) = 12/19
P(S|G) = 8 / (6 8 5) = 8/19
P(S|P) = 9 / (15 9 13) = 9/37
P(B) = 1/2
P(G) = 1/4
P(P) = 1/4
So,
P(S) = (12/19) * (1/2) (8/19) * (1/4) (9/37) * (1/4) = 271/444
We can now calculate P(P|S) using Bayes' theorem:
P(P|S) = (9/37) * (1/4) / (271/444) ≈ 0.282
Therefore, the probability that the pink can was chosen because the cookie was a sugar cookie is about 0.282, or about 28.2%.
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3. vertices at (-8, 4) and (4, 4), foci at (-3, 4) and (-1, 4)
The equation of the ellipse is ((x+2)² / 36) + ((y-4)² / 35.12) = 1
To find the center of the ellipse, we can find the midpoint between the two vertices:
Midpoint = ((-8 + 4)/2, (4 + 4)/2) = (-2, 4)
So the center of the ellipse is (-2, 4).
To find the semi-major axis (a), we can find the distance from the center to one of the vertices:
Distance = √[(-8 - (-2))² + (4 - 4)²] = √36 = 6
So the semi-major axis is 6.
To find the distance between the foci (2c), we can find the distance between the two foci:
Distance = √[(-3 - (-1))² + (4 - 4)²] = 2
So 2c = 2 and c = 1.
Now we can use the relationship between a, b, and c in an ellipse:
c² = a²- b²
(1)² = (6)² - b²
b² = 35
b ≈ 5.92
So the semi-minor axis is approximately 5.92.
Therefore, the equation of the ellipse is ((x+2)² / 36) + ((y-4)² / 35.12) = 1
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Correct question is "vertices at (-8, 4) and (4, 4), foci at (-3, 4) and (-1, 4), find the equation of the ellipse."
Is 285mg more or less than 34.4 mg? My problem is not knowing for sure because of the decimal
Answer: 285 mg is more than 34.4 mg
Step-by-step explanation:
To compare the two quantities, we can simply look at the whole numbers before the decimal point.
285 is a larger whole number than 34, so we can say that 285 mg is more than 34.4 mg.
The decimals after the whole numbers are used to represent the fractions of the numbers.
1. Write a statistical question about each situation. a. vacation destinations b. books
a. Statistical question about vacation destinations: What percentage of people who traveled for vacation last year went to a beach destination?
What is a qualitative and quantitative data?Data that is descriptive but not numerical is considered qualitative data. It is frequently used to describe the qualities or traits of things, people, or occasions. Qualitative data examples include hues, textures, tastes, and perspectives.
On the other hand, quantitative data are numerical data that can be measured and statistically analysed. It is frequently used to describe numbers or amounts of different things. Measurements like height, weight, temperature, and test results are examples of quantitative data.
a. Statistical question about vacation destinations: What percentage of people who traveled for vacation last year went to a beach destination?
b. Statistical question about books: What is the average number of books read per month by individuals who report reading as a favorite hobby?
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I need help please
here is the picture is about Row Ops
Row 1 in the matrix multiplied by 1/4 will produce: 1/2, 0, and 3/4 respectively.
What is the row of a matrixA rectangular array of numbers or mathematical objects which are arranged in rows and columns is called a matrix. Each row of a matrix is a horizontal sequence of numbers or objects that are separated by commas and enclosed within square brackets, and it represents a vector in the row space of the matrix.
row 1 of the given matrix are: 2, 0, and 3, multiplying row 1 with 1/4 gives;
1/4 × 2 = 1/2
1/4 × 0 = 0
1/4 × 3 = 3/4
Therefore, row 1 in the matrix multiplied by 1/4 will produce: 1/2, 0, and 3/4 respectively.
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Please help me write a summary of the 3 rules on segments
1) When 2 chords intersect inside a circle, and 4 segments are formed
2) When 2 secants intersect outside a circle, and 4 segments are formed
3) When 1 secant and 1 tangent intersect outside a circle, and 3 segments are formed
1. The rule states that the product of the lengths of the two segments of one chord equals the product of the lengths of the two segments of the other chord (i.e., (a1 x a2) = (b1 x b2), where a1 and a2 are segments of chord A, and b1 and b2 are segments of chord B).
2. The rule states that the product of the length of the external segment of one secant and the length of the entire secant equals the product of the length of the external segment of the other secant and the length of the entire secant (i.e., (e1 (e1 + i1)) = (e2 (e2 + i2)), where e1 and e2 are the external segments and i1 and i2 are the internal segments).
3. The rule states that the square of the length of the tangent segment equals the product of the length of the external segment of the secant and the length of the entire secant (i.e., t^2 = e * (e + i), where t is the length of the tangent segment, e is the external segment, and i is the internal segment).
what are the 3 rules on segments all about?The three rules of segments are:
A segment is a part of a line that consists of two endpoints and all the points between them.Two segments are congruent if they have the same length.A segment bisector is a line, segment, or ray that divides a segment into two equal parts, creating two congruent segments.Find more exercises on rules of segments;
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How many total mangement are there in the organization if 40 have a technical degree and 100 have a non technical degree
The total number of employees in the organization will be 140.
Given that:
There are 40 employees who have a technical degree
There are 100 employees who have a non-technical degree
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The total number of employees are calculated as,
Total = Employees who have a technical and non-technical degree
Total = 40 + 100
Total = 140
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WRITE THIS IN SYSTEM OF EQUATIONS FROM CONTEX
Tristan has $1.40 worth of nickels and dimes. He has twice as many nickels as dimes. Write a system of equations that could be used to determine the number of nickels and the number of dimes that Tristan has. Define the variables that you use to write the system.
The system of equations defined is:
x = 2y
x*0.05 + y*0.10 = 1.40
How to write the system of equations?First we need to define the variables:
x = number of nickels
y = number of dimes.
Now we can find the equations, we know that he has twice as many nickels as dimes, then:
x = 2y
We also know that Tristan has $1.40 then we can write:
x*0.05 + y*0.10 = 1.40
So the system of equations is:
x = 2y
x*0.05 + y*0.10 = 1.40
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The___is the sum of the lengths of the sides of a closed figure. A-apothem B-area C-total D-perimeter
Answer: D-perimeter
Step-by-step explanation: The sum of the lengths of all the sides of a closed figure is called its perimeter.
Answer:
Perimeter
Step-by-step explanation:
The sum of the lengths of all the sides of a closed figure is called its perimeter.
Choose the tool or tools you can use to
measure the object. Then measure the length.
string and straws
art.
non
7. straws
about
Company LLC. All Rights Reserved.
straws
00
Topic 12 Reteaching
The tools you can use to measure the object is Ruler
What is the technique to determine the size of a string using ruler?First you need to Indicate the starting and ending points of the curved line on the string. To determine the distance between the two markings on the string, lay the string flat on a ruler, or a stretched-out measuring tape if the line is curved, and measure the length in between.
Commonly found in bars and restaurants, disposable straws intended for one-time use have a common size of 8.5 inches in length and width. The typical size of a drinking straw is one that is having a width of 24 inches. At times, you may need a lengthier or broader straw to suit yourself.
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The rectangular prism is filled with 1
-centimeter cubes.
Count the cubes to find the volume of the How many centimeter cubes fit in the rectangular prism?
centimeter cubes
What is the volume of the rectangular prism?
cubic centimeters
Each cube has a volume of 1 cm³, and the rectangular prism contains 320 cubes, so the volume of the rectangular prism is 320 cm³.
What is volume?Volume is a physical quantity that measures the amount of space occupied by an object or a substance. It is typically measured in cubic units such as cubic meters (m³) or cubic centimeters (cm³).
Here,
Length side = 4 cubes
= 5 cm
Width side = 2 cubes
= 2 cm
Height side = 2 cubes
= 2 cm
The length of the rectangular prism is 4 cubes which are equal to 5 cm each, so the length is 4 x 5 cm = 20 cm. The width of the rectangular prism is 2 cubes which are equal to 2 cm each, so the width is 2 x 2 cm = 4 cm. The height of the rectangular prism is 2 cubes which are equal to 2 cm each, so the height is 2 x 2 cm = 4 cm.
To find the volume of the rectangular prism, we multiply the length by the width by the height:
Volume = length x width x height
Volume = 20 cm x 4 cm x 4 cm
Volume = 320 cubic cm
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Complete question:
Each cube in this rectangular prism is 1 cm³. What is the volume of the rectangular prism?
Jilby Share if you could find it :) If 3+1=34 2+2=44 2+3=65 5+3=158 then 7+2=?
What is the linear equation for your line of best fit? What does the slope of this line mean? What does the y-intercept of this line mean? (It's scattered plot points)
Answer:
need better photos
Step-by-step explanation:
Answer: Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.
Step-by-step explanation:
Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.
12
tanQ =
15
9
Help answer !!
The value of tanQ is 4/3
What is trigonometric ratio?
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
The values of the functions are expressed as follows;
sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
The opposite in the triangle is 12 and the adjascent is 9 while th hypotenuse is 15.
therefore , since tan(tetha) = opp/adj
then, tanQ = 12/9
simplifying the value to the nearest term,
tanQ = 4/3
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Angle & segment relationship
Area & Arc Length
need help with this rational functions homework question
The sketch of the graph of y = 1/f(x) is added as an attachment
Sketching the graph of y = 1/f(x)To find the function equation, we need to determine the factors of the equation based on the zeros of the function.
Since the zeros of the function are at x = -5, -1, and 4, the factors of the equation will be:
(x + 5), (x + 1), and (x - 4)
Multiplying these factors together gives us:
f(x) = a(x + 5)(x + 1)(x - 4)
To find the value of the constant term a, we can use the fact that the graph passes through the point (0, -4):
-4 = a(0 + 5)(0 + 1)(0 - 4)
-4 = -20a
So, we have
a = 1/5
Therefore, the function equation is:
f(x) = 1/5(x + 5)(x + 1)(x - 4)
For the graph of y = 1/f(x), we have
y = 5/[(x + 5)(x + 1)(x - 4)]
See attachment for the graph
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In the diagram above, the sine of angle ACB = 3/5. What is the sine of angle ANM?
Because the sine of angle ACB = 3/5, then the sine of angle ANM will be equal to 3/5 too.
Understanding TriangleA triangle is a shape with 3 sides. There are 3 types of triangle which are:
equilateral triangle: this type has all sides equalisosceles triangle: this type has 2 sides equalscalene triangle: this one has no sides equalFrom the diagram, we can see that we have a small triangle inside a big triangle. From the principle of triangle, the angle C is equal to angle N.
Let us say angle C is 30° then the angle N will also be equal to 30*. Therefore the angle ACB = angle ANM = 3/5
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The equation x^2-8x-5=0 can be transformed into the equation (x-p)^2=q, where p and q are real numbers. What is the value of q?
Since p and q are real numbers, the value of q is 21.
What is a quadratic equation?In Mathematics and Geometry, a quadratic equation can be defined as a mathematical expression that can be used to define and represent the relationship that exists between two or more variable on a graph.
In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 8x - 5 = 0
x² - 8x = 5
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² - 8x + (-8/2)² = 5 + (-8/2)²
x² - 8x + 16 = 5 + 16
x² - 8x + 16 = 21
By simplifying, we have;
(x - 4)² = 21
p = 4 and q = 21
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What are the asymptotes of the function? Check all that apply.
x = 0
x = 19,800
y = 0
y = 19,800
The horizontal asymptote of the given function is 0
Given the function y = 19800/x
Vertical asymptote occurs at when f(x) = 0 where;
f(x) is the denominator of the given function.
From the expression given: f(x) = x
Since f(x) => 0, hence x = 0
To get the horizontal asymptote, we will look at the degree of the numerator and denominator.
If the degree of numerator is less than the denominator,
the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.
Since 0<1, hence the horizontal asymptote is 0
x = 0, y = 0
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What should be added to
[tex] \frac{17}{24} [/tex]
get
[tex] \frac{ - 5}{12} [/tex]
Answer:
See the below process
Step-by-step explanation:
let the Unknown value be x.
Now
[tex] \frac{17}{24} + x = \frac{ - 5}{12} [/tex]
[tex]x = \frac{ - 5}{12} - \frac{17}{24}[/tex]
Taking LCM
[tex]x = \frac{ - 10 - 17}{24} [/tex]
[tex]x = \frac{ - 27}{24} \\ = \frac{8}{9} [/tex]
we should add 8/9 to 17/24 to get -5/12
I hope it helped you
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If x/6 = x+10/42, what is the value of each expression? 3x
Answer:
5.1
Step-by-step explanation:
x = x+10
6. 42
cross multiply
42x= 6x + 60
42x-6x =60
36x=60
x=1.7
3x= 3×1.7
=5.1