All categories

3 years ago

Can somebody help me????

Mathematics

1 answer:

ddd [48]3 years ago

8 0

$f(x)=5x^2-3\\\\\\
f(x+a)=5(x+a)^2-3=5(x^2+2ax+a^2)-3=\\\\=\boxed{5x^2+10ax+5a^2-3}$

On the other hand:

$f(x+a)=5x^2+30x+42$

so:

$10ax=30x\\\\10a=30\qquad|:10\\\\\boxed{a=3}$

Answer C.

You might be interested in

8y-2(y+4)= i was just wondering the best way to work this

Bond [772]

Answer:

6y-8

Step-by-step explanation:

8y-2(y+4)

8y-2y-8 distribution

6y-8 combined like-terms

4 0

3 years ago

The value pi/4 is a solution for the equation 3 sqrt 2 cos theta+2=-1

natulia [17]

Answer:

<h2>FALSE</h2>

Step-by-step explanation:

$3\sqrt2\cos\theta+2=-1\\\\\text{Method 1}\\\\\text{Put}\ \theta=\dfrac{\pi}{4}\ \text{to the equation and check the equality:}\\\\\cos\dfrac{\pi}{4}=\dfrac{\sqrt2}{2}\\\\L_s=3\sqrt2\cos\dfrac{\pi}{4}+2=3\sqrt2\left(\dfrac{\sqrt2}{2}\right)+2=\dfrac{(3\sqrt2)(\sqrt2)}{2}+2\\\\=\dfrac{(3)(2)}{2}+2=3+2=5\\\\R_s=-1\\\\L_s\neq R_s\\\\\boxed{FALSE}$

$\text{Method 2}\\\\\text{Solve the equation:}\\\\3\sqrt2\cos\theta+2=-1\qquad\text{subtract 2 from both sides}\\\\3\sqrt2\cos\theta=-3\qquad\text{divide both sides by}\ 3\sqrt2\\\\\cos\theta=-\dfrac{3}{3\sqrt2}\\\\\cos\theta=-\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}\\\\\cos\theta=-\dfrac{\sqrt2}{2}\to\theta=\dfrac{3\pi}{4}+2k\pi\ \vee\ \theta=-\dfrac{3\pi}{4}+2k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\text{It's not equal to}\ \dfrac{\pi}{4}\ \text{for any value of }\ k.$

7 0

3 years ago

A polling firm is conducting research on Internet use by calling the landline telephone of every tenth person listed in a local

denis-greek [22]

Younger people don't own landline telephones so you are limiting your voter demographic to older people by calling them more than younger people.

7 0

3 years ago

Aliya buys p pounds of apples for $2 per pounds. Write an algebraic expression to find the total cost?

Burka [1]

Answer:

Identify the terms and coefficients of each expression. 1. ... Frank buys p pounds of oranges for $2.29 per pound and the same number of pounds of apples for $1.69 per pound. ... .690 = total cost ... Write an expression to represent each situation. 9. Eliza earns $400 per week plus $15 for each new customer she signs up.

Step-by-step explanation:

3 0

2 years ago

Please will give brainliest and thanks

Paraphin [41]

Answer:

Kahn academy works great with this stuff

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers