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2 years ago

The zeros of a quadratic function are –7 and 3. Which of the following could be the function? Select all that apply:

Mathematics

2 answers:

stellarik [79]2 years ago

7 0

Answer:

First option: f(x)=x^2+4x-21

AND

Fourth option: f(x)=5x^2+20x-105

Step-by-step explanation:

All you have to do is do the quadratic equation backwards

If the zeros are x=-7 and x=3, the equation would look like ->

(x+7)(x-3)

Now distribute it

x(x-3)+7(x-3)

x^2-3x+7x-21

x^2+4x-21

The Fourth option is also correct. Just divide the whole equation by 5 and you will get the same exact equation as the first option.

VMariaS [17]2 years ago

5 0

Step-by-step explanation:

f(x) = (x+7)(x-3)

= x²+4x-21 ... (option A)

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PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER

drek231 [11]

Answer:

Step-by-step explanation:

The line of best fit is a linear function that is closest to all the points and shows the trend in the data. Since the data is going up ultimately, the slope of the line will be positive. Only B and C are options.

To find the best fit, draw a line through the center of the most points. This line will have as its y-intercept a value around 12 and a gentle slope. This means the answer choice is C.

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3 years ago

Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)

Ymorist [56]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form $ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

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1 year ago

The point V(4, –1) is rotated 90° clockwise around the origin. What are the coordinates of its image V’?

Verizon [17]

Answer:

(-1,-4)

Step-by-step explanation:

Because it is a rotation that turns both the x and y values the two swap places. The x value become negative because before it was in quadrant 4 where there was still a positive chance but rotating the point clockwise puts it into the third quadrant where there are only negatives.

3 0

2 years ago

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2 years ago

Jaheem has a goal running a total of 125 miles this month. Each day that he ran, he ran 7 miles. Which expression could Jaheem u

VashaNatasha [74]

Answer:

a. 125 – 7d

Step-by-step explanation:

Let d be the number of days.

<u>Given the following data;</u>

Total distance (month) = 125 miles

Distance covered per day = 7 miles

To determine how many miles he has left to run after running for "d" days, this mathematical expression can be used;

Total distance - distance covered per day = number of miles remaining

$125 - 7d$

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2 years ago