The correct answer is option C. f(x) = x(x - 1)(x - 2)(x + 1)(x + 2)
Explanation:
To determine the correct answer, we need to look at the zeros of the given functions and compare them to the zeros shown on the graph. The zeros of a function are the values of x that make the function equal to zero. These are also the points where the graph of the function crosses the x-axis.
Option A: f(t) = (x - 1)(x - 2)(x + 1)(x + 2)
The zeros of this function are x = 1, x = 2, x = -1, and x = -2.
Option B: f(x) = x(x - 1)(x + 1)
The zeros of this function are x = 0, x = 1, and x = -1.
Option C: f(x) = x(x - 1)(x - 2)(x + 1)(x + 2)
The zeros of this function are x = 0, x = 1, x = 2, x = -1, and x = -2.
Option D: f(r) = x(x - 1)(x - 2)
The zeros of this function are x = 0, x = 1, and x = 2.
Comparing the zeros of these functions to the zeros shown on the graph, we can see that option C is the correct answer. The graph shows zeros at x = 0, x = 1, x = 2, x = -1, and x = -2, which are the same zeros as the function f(x) = x(x - 1)(x - 2)(x + 1)(x + 2).
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Square root of 2.75?
Answer: 1.65831239518
Step-by-step explanation:
The square root of 2.75 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.75.The square root of 2.75 can be written as
(2.75)1/2. So,(2.75)1/2 = (1.6583123951777 × 1.6583123951777)1/2(2.75)1/2 = [(1.6583123951777)2]1/2(2.75)1/2 = (1.6583123951777)2/2(2.75)1/2 = (1.6583123951777)1Thus,√2.75 = 1.6583123951777
Match each transformation of function fwith a feature of the transformed function.
domain of (0, ∞)
x-intercept of (-2, 0)
vertical asymptote of x =
j(x) = f(x+3)
g(x) = -f(x − 3)
h(x) = 3 f(x) - 3
range of (-3, ∞)
3
When we transform function f, the resulting transformed function may have certain features that are different from the original function.
⇒ g (x) = - f(x-3) is vertical asymptote of x=3
⇒ j (x) = f(x+3) is x-intercept of (-2,0)
⇒ h (x) = 3f(x) - 3 is domain of (0, ∞)
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given function is;
⇒ f(x) = log x
Hence, we get;
g(x) = -f(x+3)= - log(x+3)
g(x) =-f(x-3) is vertical asymptote of x = 3.
j (x) = f(x+3) = log (x+3)
Then, j(x) = f(x+3) is x-intercept of (-2,0)
Domain: As (0,∞),{x | x>0}
h(x) = 3f(x)-3 is domain of (0, ∞)
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The complete question is shown in figure.
Which graph represents the linear equation y = −5x − 4?
a graph of a line that passes through the points negative 2 comma 5 and 0 comma negative 3
a graph of a line that passes through the points negative 4 comma negative 1 and 0 comma negative 2
a graph of a line that passes through the points negative 1 comma 1 and 0 comma negative 4
a graph of a line that passes through the points negative 4 comma 3 and negative 2 comma negative 3
The linear equation y = -5x - 4 has a slope of -5 and a y-intercept of -4. Therefore, the correct graph should be a straight line with a slope of -5 and a y-intercept of -4.
Out of the four given options, the graph of a line that passes through the points (-1, 1) and (0, -4) represents the linear equation y = -5x - 4. To see why, we can use the two given points to find the slope of the line:
slope = (change in y) / (change in x) = (-4 - 1) / (0 - (-1)) = -5
The y-intercept is -4, so the equation of the line can be written in slope-intercept form as y = -5x - 4.
Therefore, the graph that represents the linear equation y = -5x - 4 is the graph of a line that passes through the points (-1, 1) and (0, -4).
Answer:
The linear equation y = -5x - 4 has a slope of -5 and a y-intercept of -4. Therefore, the correct graph should be a straight line with a slope of -5 and a y-intercept of -4.
Out of the four given options, the graph of a line that passes through the points (-1, 1) and (0, -4) represents the linear equation y = -5x - 4. To see why, we can use the two given points to find the slope of the line:
slope = (change in y) / (change in x) = (-4 - 1) / (0 - (-1)) = -5
The y-intercept is -4, so the equation of the line can be written in slope-intercept form as y = -5x - 4.
Therefore, the graph that represents the linear equation y = -5x - 4 is the graph of a line that passes through the points (-1, 1) and (0, -4).
Step-by-step explanation:
Fill in the table for y=4x+2
Answer:
x = -2 | y = -6
x = 1 | y = 6
x = 2 | y = 10
Step-by-step explanation:
A quarterback completes of passes during the first three quarters of a football game. He completes e pass in the fourth quarter and of his passes for the entire game. How many passes does the quarterback throw in the fourth quarter?
Rounding up to the nearest whole number, the quarterback throws 3 passes in the fourth quarter to complete all of them.
Let's first find out how many passes the quarterback completed in the first three quarters:
18 passes completed out of 33 attempts in the first three quarters
= 18/33 = 0.545 (rounded to three decimal places)
We can then find the total number of passes attempted in the first three quarters by using the fact that the completion rate is the number of completions divided by the number of attempts:
0.545 = 18/x, where x is the total number of attempts in the first three quarters
Solving for x, we get:
x = 18/0.545 = 33
So the quarterback attempted 33 passes in the first three quarters.
Next, we can find the total number of passes attempted in the game by using the completion rate for the entire game:
0.625 = (18 + passes completed in the fourth quarter) / (33 + passes attempted in the fourth quarter)
Multiplying both sides by the denominator:
0.625 × (33 + passes attempted in the fourth quarter) = 18 + passes completed in the fourth quarter
20.625 + 0.625 × passes attempted in the fourth quarter = 18 + passes completed in the fourth quarter
Subtracting 18 and 0.625 × passes attempted in the fourth quarter from both sides, we get:
2.625 = passes completed in the fourth quarter - 0.625 × passes attempted in the fourth quarter
Adding 0.625 × passes attempted in the fourth quarter to both sides, we get:
passes completed in the fourth quarter = 2.625 + 0.625 × passes attempted in the fourth quarter
We don't know the exact number of passes attempted in the fourth quarter, but we can see that for every 1 pass attempted, the quarterback completes 0.625 - 0.545 = 0.08 more passes than in the first three quarters. So to complete all of his passes in the fourth quarter, he needs to attempt:
0.08 × x = 0.08 × 33 = 2.64
Question - A quarterback completes 18 of 33 passes during first three quarters of a football game. He completes every pass in the fourth quarter and 62.5% of his passes for the entire game. How many passes does the quarterback throw in fourth quarter?
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PLSSS DO IT NOW QUICK STEP BY STEP EXPLANATION>….!!!
-Jake .Kim ,and lee share some money in the ratio 1:3:6
Kim gets $9 more than Jake
How much does Lee get?
Answer:
$30
Step-by-step explanation:
What is a ratio?A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.
If the ratio is Jake: Kim: Lee, and the amounts are 1: 3: 6, we can use this ratio to solve for the amount of money Lee will get if Kim gets $9 more than Jake:
5: 15: 30How did we get this ratio?Well, in order to get this ratio, we need to multiply each number in the original ratio by 5.
1 × 5 = 53 × 5 = 156 × 5 = 30Therefore, Kim will get $15, which is $9 more than Jake's amount, which is $5. Lee has $30.
pls helpp dilation of 1.5 about the origin
F(1, -1), G(0, 2), H(1, 2)
The Coordinates after dilation of 1.5 about the origin is
F'(1.5, -1.5)
G'(0, 3)
H'(1.5, 3)
What is Dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. Yet, there is a variation in the shape's size. The initial shape should be stretched or contracted during a dilatation.
Given:
We have the Coordinates F(1, -1), G(0, 2), H(1, 2).
As, the Dilation Rule for point (x, y) about origin with scale factor h
h(x, y)------>(hx, hy)
Applying the Dilation Rule we get
F(1, -1)-----> 1.5 F'(1, -1)-----> F'(1.5, -1.5)
G(0, 2)-----> 1.5 G'(0, 2)-----> G'(0, 3)
H(1, 2) -----> 1.5 H'(1, 2)-----> H'(1.5, 3)
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Mrs. Mack is looking at the blueprints for a new factory. On the blueprint, the factory floor is a rectangle with a length of 0.3 meter and a width of
0.25 meter. The factory will be built by using a scale factor of 140.
Mrs. Mack wants to know the area of the factory floor. She decides to do this by first determining the dimensions of the factory floor.
What will be the length of the factory floor?
Enter your answer in the box
Answer:
42 meters
Step-by-step explanation:
The length of the factory floor will be 42 meters. This is found by multiplying the length of 0.3 meters by the scale factor of 140, which yields 42 meters.
Answer:
42 meters
Step-by-step explanation:
its correct :)
PLS HELP PLSSSSSSSSS
Answer:
If r = 2 units and h = 13 units, what is the surface area of the cylinder shown above?
C. 188.4 square units.Step-by-step explanation:
You're welcome.
The total area under the frequency polygon for a continuous random variable equals 1? True or False
The given statement "The total area under the frequency polygon for a continuous random variable equals 1" is true because the total area under the frequency polygon is a measure of the probability of the variable and the probability of a continuous random variable is always equal to 1
Frequency polygons are graphical representations of a continuous random variable. The total area under the frequency polygon for a continuous random variable is a measure of the probability of the variable. In this problem, we are asked if the total area under the frequency polygon for a continuous random variable equals 1.
The answer is true. The total area under the frequency polygon for a continuous random variable indicates the probability of the variable. Since the probability of a continuous random variable is always 1, the total area under the frequency polygon also equals 1.
Therefore, it is true that the total area under the frequency polygon for a continuous random variable equals 1.
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Find the length of AC
The length of the side AC of the right-angled triangle is equal to 24cm by comparison using the trigonometric ratio of sine of angle B.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the right-angled triangles ABC and DBC, we shall evaluate for the length AC using the trigonometric ratio of sine for the angle B° to derive an equation as follows:
For ∆ABC;
sin B = AC/BC {opposite/hypotenuse}
For ∆DBC;
sin B = 24cm/BC {opposite/hypotenuse}
thus;
AC/BC = 24cm/BC
Therefore, by comparison using the trigonometric ratio of sine for the angle B, we have the length of AC equal to 24cm.
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The graph of f(x)=sin(x) is transformed into a new function, g(x) , by stretching it vertically by a factor of 4 and shifting it 3 units down.
What is the equation of the new function g(x) ?
Please answer asap
Answer:
The transformation of stretching the function vertically by a factor of 4 means that every y-value of f(x) is multiplied by 4, so the new function is:g(x) = 4sin(x)The transformation of shifting the function downward by 3 units means that the entire graph is shifted downward by 3 units, so we subtract 3 from the y-value of g(x), giving:g(x) = 4sin(x) - 3Therefore, the equation of the new function g(x) is g(x) = 4sin(x) - 3
Step-by-step explanation: hope this helps0^0
what is log base 2 calculator
A log base 2 calculator calculates the logarithm of a number with respect to base 2.
A tool that helps in calculating a number's logarithm in relation to base 2 is a log base 2 calculators. A base must be increased to the logarithm, or exponent, in order to yield a given number.
The base in this situation is 2, and the exponent to which 2 must be increased in order to equal the supplied number is the logarithm. The base-2 logarithm offers a measure of the number of bits necessary to express a particular amount, making it important in computer science, information theory, and other fields that need computations involving binary integers.
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How much water should be added to 14 mL of 14% alcohol solution to reduce the concentration to 7%?
We need to add approximately 14.86 mL of water to 14 mL of 14% alcohol solution to reduce the concentration to 7%.
First, let's figure out how much alcohol is in the first 14 mL of the 14% alcohol solution.
Alcohol is equal to 0.14 x 14 (14%) times 14%, or 1.96 mL.
We need to add water so that the amount of alcohol stays the same while the overall volume grows in order to lower the concentration to 7%.
Assume that x mL of water needs to be added.
The volume of the solution will be (14 + x) mL with the addition of x mL of water, while the amount of alcohol will remain at 1.96 mL.
The equation for the ultimate concentration can be written as follows:
1.96 mL / (14 + x) mL = 0.07
When we find x and simplify, we get:
x = (1.96 mL / 0.07) - 14 mL
x ≈ 14.86mL
In order to lower the concentration to 7%, we must therefore add around 14.86 mL of water to 14 mL of 14% alcohol solution.
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Yoni drove a total of 9/24 of a mile on Tuesday and Wednesday. She drove 1/6 of a mile on Tuesday.
How far did Yoni drive on Wednesday?
9/24mile
1/6 mile
5/24mile
24 miles
As per the total distance, the distance that Yoni drive on Wednesday is option (c) 5/24 miles.
To find out how far Yoni drove on Wednesday, we must first determine the total distance she drove over the two days.
Tuesday, Yoni drove 1/6 of a mile, which can be expressed as 6/24 of a mile. Wednesday, she drove an additional 9/24 of a mile.
This means that, in total, she drove 15/24 of a mile.
Since we already know that Yoni drove 6/24 of a mile on Tuesday, we can subtract this amount from the total distance she drove over the two days to find out how far she drove on Wednesday.
Subtracting 6/24 of a mile from 15/24 of a mile, we get 9/24 of a mile, which is the distance Yoni drove on Wednesday.
Therefore, Yoni drove 5/24 of a mile on Wednesday
Then the correct option is (c).
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A rectangle's length and width are in a ratio of 7:1. The area is 112 square yards. What are the length and width?
Answer:
ouygghjkjhhhggfdddthjj
Which digits are missing from this equation?
3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100
= (3 × ) + (5 × ) + (8 × )
= 358
The digits missing from the equation are 100, 10 and 1 respectively. The solution has been obtained by using the concept of algebraic equation.
What is algebraic equation?
If a mathematical phrase has variables, constants, and algebraic operations, it is said to be "algebraic" (addition, subtraction, etc.). The expression must contain the equals sign and satisfy the algebraic equation.
We are given an expression as
3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100
On multiplying, we get
= (3 × 100) + (5 × 10) + (8 × 1)
= 358
Hence, the digits missing from the equation are 100, 10 and 1 respectively.
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You choose between red, blue, yellow, or green wallpaper and purple or yellow carpet. Find the total number of possible outcomes when you select one color of wallpaper and one color of carpet.
Answer: there are 8 outcomes
Step-by-step explanation:
1: red wallpaper and purple carpet
2: blue wallpaper and purple carpet
3: yellow wallpaper and purple carpet
4: green wallpaper and purple carpet
5: red wallpaper and yellow carpet
6: blue wallpaper and yellow carpet
7: yellow wallpaper and yellow carpet
8: green wallpaper and yellow carpet
x² at x = 3 what is the answer pleas help
Answer: 9
Step-by-step explanation:
First plug in 3 for x.
Then you get 3^2
Now you solve and you get 9. Its the same as saying 3 * 3 = 9.
how much is 40 lb to kg
40 pounds (lb) is equivalent to 18.14 kilograms (kg). To convert pounds to kilograms, you need to use the conversion factor of 0.45359237 kg per pound.
This means that you can multiply the number of pounds by this conversion factor to get the equivalent weight in kilograms.
The conversion from pounds to kilograms is important when it comes to international trade and travel, where weight measurements are typically done in the metric system. Knowing how to convert between different units of measurement is also useful in scientific and engineering fields, where calculations may require using units from different systems.
It's important to note that weight and mass are not the same thing. Weight is a measure of the force exerted on an object by gravity, while mass is a measure of the amount of matter in an object. The conversion from pounds to kilograms assumes that the force of gravity is constant, but this may not always be the case in different parts of the world.
In summary, 40 pounds is equal to 18.14 kilograms, and knowing how to convert between different units of measurement is an important skill in various fields of study and in everyday life.
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Which equation currently shows the relationship between the numbers 2560 and 256
Answer:
C) b x 1
Step-by-step explanation:
For example, if b was 2 then 2 x 1 would be 2 so it would be the biggest value out of all the options.
For D, if b was 6 then b x 1/2 would be 3 so it would be at a low value. Therefore C is the correct answer.
A donut shop wanted to determine the best price to sell its donuts. The manager of the shop gathered data from several donut shops in the city for the total cost, y, for different amounts of donuts, x. He created the following scatter plot with a line of fit.
scatter plot titled donut pricing with the x axis labeled number of donuts and the y axis labeled total cost in dollars, with points at 1 comma 1, 2 comma 2 and a half, 5 comma 5, 6 comma 5 and a half, 3 comma 2, 7 comma 7, 4 comma 4, 8 comma 5 and a half, 12 comma 10, 10 comma 9, 9 comma 9, and 8 comma 7, with a line passing through the coordinates 3 comma 3 and 8 comma 7
Find the slope of the line of fit and explain its meaning for the real-world situation.
The slope is 3 over 5, which means when 0 donuts are sold, it is predicted that the shop will earn $0.60.
The slope is 4 over 5, which means when 0 donuts are sold, it is predicted that the shop will earn $0.80.
The slope is 3 over 5, which means for each additional donut sold, the shop is predicted to earn $0.60.
The slope is 4 over 5, which means for each additional donut sold, the shop is predicted to earn $0.80.
Answer:
The slope is 3 over 5, which means for each additional donut sold, the shop is predicted to earn $0.60.
option c is correct
how many millions are in billions
Answer:
1000 millions are in a billion
Step-by-step explanation:
1 million can be written as 1000000 (6 zeros)
1 billion can be written as 1000000000 (9 zeros)
the difference in the zeros is three and 1000 has three zeros so we can say,
1000000 x 1000 = 1000000000
their zeros are basically added together.
significant figures include only the certain digits of a measurement. True or False?
The statement that significant figures include only the certain digits of a measurement is False
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Statement: significant figures include only the certain digits of a measurement
The above statement is false
This is so because significant figures refer to the digits in a measurement that are certain or known with confidence, plus the first uncertain or estimated digit.
The addiitonal uncertain digit implies that the statement is false
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Hi , please help ( see images)
This is a word problem and the value of the unknown number is equal to 5.5.
We can write algebraically the second question as 3(x - 1).
Simplifying fully 15xy ÷ 15xy = 1/y
Word problems in mathematicsWord problems are mathematical problems which involves the use of ordinary words, instead of mathematical symbols.
Let us represent the unknown number with the letter x so that we derive the equation;
2x - 2 = 9
we add 2 from both sides of the equation
2x - 2 + 2 = 9 + 2
2x = 11
divide through by the coefficient of x which is 2
2x/2 = 11/2
x = 5.5.
Using x as the unknown, we can write the statement in the second question as 3(x - 1).
15xy ÷ 15xy = 1/y
Therefore, the value of the unknown number for the word problem is equal to 5.5
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Answer:
in order from last to first
3y
(x-1)3
x2-2=9
Step-by-step explanation:
(I also included the image for your previous question))
Oak City High School ordered jerseys to sell at the
opening game. The school paid $9.25 each for
225 jerseys. Each jersey sold for $15.75. The
school sold 165 jerseys. What percent of the
jerseys did NOT sell? Round to the nearest
percent.
Answer: Percent of the jerseys that did not sell is 27% (approx).
Step-by-step explanation: No. of jerseys sold = 225
No. of jerseys not sold =165
Thus, the percentage of jerseys sold = 165/225 *100 = 73.33333%
percentage of jerseys not sold = 100-73.33 = 26.67% =27%
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please help!! performance task: vector operations
Draw u - v + w.
Based on the above, the graph of the resultant vector is shown in the image attached (x-axis).
What is the graph about?We must do a sum of vectors during the graph creation process before drawing the resulting vector.
Thus, while looking at the attached graph, we can claim that the vectors are:
w = <1, 5>
u = <-3, 1>
v = <4, -3>
So, the sum = u - v + w
Note also that in the sum of the vectors we need to add and subtract the correspondent parts and it will be:
u - v + w
= <-3, 1> - <4, -3> + <1, 5>
= <-3 - 4 + 1, 1 + 3 + 5>
= <-6, 9>
Therefore, Based on the above, the graph of the resultant vector is shown in the image attached (x-axis).
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x^2 + y^2 + 8x - 6y - 15 = 0
complete the square
The completed square form of the given equation is:
(x + 4)^2 + (y - 3)^2 = 40.
How to complete the square for the given equationFirst to complete the square for the given equation:
x^2 + y^2 + 8x - 6y - 15 = 0
We need to group the x and y terms together and add and subtract some constants to make them into perfect squares.
x^2 + 8x + y^2 - 6y = 15
We can add and subtract constants inside the left side of the equation to make it into perfect squares, as follows:
x^2 + 8x + 16 + y^2 - 6y + 9 = 15 + 16 + 9
Now we can rewrite the left side of the equation as a sum of perfect squares:
(x + 4)^2 + (y - 3)^2 = 40
Therefore, the completed square form of the given equation is:
(x + 4)^2 + (y - 3)^2 = 40.
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hich one of the following would be a correct interpretation if you have a z-score of +2.0 on an exam? (a) It means that you missed two questions on the exam. (b) It means that you got twice as many questions correct as the average student. (c) It means that your grade was 2 points higher than the mean grade on this exam. (d) It means that your grade was in the upper 2% of all grades on this exam. (e) It means that your grade is 2 standard deviations above the mean for this exam.
Answer:
(e) It means that your grade is 2 standard deviations above the mean for this exam.
Step-by-step explanation:
Z-score describes the number of standard deviations away from the mean. In this case, a z-score of +2.0 would be 2 standard deviations above the mean.
What is the domain and range of R(c)
The domain of the function; R (c) as required is; [0, 150].
The range of the function; R (c) as required is; [0, 450].
Which intervals represent the domain and range of the function?As evident in the task content; the given function is; R (c) = 3c and the class has a maximum of 150 bags to sell.
In Essence, the possible values of c are such that; 0 ≤ c ≤ 150.
The domain is therefore; [0, 150].
Hence, the range is; 3(0) ≤ R(c) ≤ 3(150).
Ultimately, the range of the function is; 0 ≤ R (c) ≤ 450.
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