Plsss helppp> For the line y=4x+5, the parent function is ___

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

nikdorinn [45]

We are given zeros of the polynomial : 7, -11, and 2 + 8i.

Note: The radical zero always comes with the pair of plus and minus sign.

Therefore, another zero would be 2-8i.

Now, in order to find the polynomial with the zeros 7, -11, 2 + 8i and 2-8i, we need to find the factors of the polynomial.

The factors of the polynomial would be (x-7)(x+11)(x-2-8i)(x-2+8i).

Let us multiply those factors to get the standard form of the polynomial.

$\left(x-2-8i\right)\left(x-2+8i\right)=\left(x-2-8i\right)\left(x-2+8i\right) =x^2-4x+68$

$\left(x-7\right)\left(x+11\right)=x^2+11x-7x-77$ = $x^2+4x-77$

$\left(x^2-4x+68\right)\left(x^2+4x-77\right)=x^4-9x^2-16x^2+308x+272x-5236\\$

$=x^4-25x^2+580x-5236$ .

<h3>Therefore, correct option is 4th option $f(x) = x^4 - 25x^2 + 580x - 5236$ .</h3>

8 0

3 years ago

What is the slope of the line shown?

Brut [27]

Answer:

What's the line?

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

The measure of angle A to the nearest tenth of a degree is: A 18.5 B 19.5 C 20.5

Andrew [12]

Answer:

B

Step-by-step explanation:

This is a right triangle as shown by the right angle.

The side opposite the right angle is the hypotenuse, which is 9.
The side opposite angle A is 3.

So we have the opposite of A and the hypotenuse.

The trigonometric ratio that relates opposite side to hypotenuse is SINE.

$sin\theta=\frac{opposite}{hypotenuse}$

Since, we need angle A, $\theta$ is A, opposite side is 3, and hypotenuse is 9, we substitute:

$sinA=\frac{3}{9}\\sinA=\frac{1}{3}$

To solve for the angle, we use our calculator and find the inverse sin of $\frac{1}{3}$ :

$A=sin^{-1}(\frac{1}{3})\\A=19.47$

Rounding to nearest tenth of a degree:

$A=19.5$

B is the right choice.

6 0

4 years ago

If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in

Ulleksa [173]

Answer:

step by step below.

Step-by-step explanation:

after subtracting the 2x, youd have 3x on the right side. and they you would want to get the numbers on one side, so subract the 3 to the left side. and then you would have -11.

$2x -8= 5x +3 \\-2x = -2x \\-8=3x+3 \\-3= -3 \\-11=3x \\$

solve for x if necessary

4 0

3 years ago

Can someone solve this problem for me

Aleks [24]

Answer:

(C) 90 $in^{2}$

Step-by-step explanation:

The figure is a combination of two parallelograms. So, to find the area of the whole figure, all you have to do is find the area of each parallelogram separately (they happen to be the same in this problem) and then add them up. The formula for the area of a parallelogram is A = base*height. In each parallelogram, the base is 15 in., and the height is 3 in. Therefore, the area of each parallelogram is 45 $in^{2}$ and the area of the whole figure is 90 $in^{2}$ .

Hope this helps :)

3 0

2 years ago

Plsss helppp> For the line y=4x+5, the parent function is ____