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Alekssandra [29.7K]
2 years ago
5

Two functions are given below. Make sure to explain!

Mathematics
1 answer:
melomori [17]2 years ago
3 0

Answer:

B. The graph of p is less steep than the graph of q.

Step-by-step explanation:

We can start by looking at each equation's y-intercepts, which are both -3/11, eliminating option A.

Next, we take a look at each equation's slope to see which is larger.

5/8 is 0.625 in decimal form. 8/5 is 1.6 in decimal form.

Therefore, q(x) has the larger slope, meaning the graph of p is less steep than the graph of q. (B.)

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Expand and simplify <img src="https://tex.z-dn.net/?f=%20%283x-2%29%5E%7B2%7D%20" id="TexFormula1" title=" (3x-2)^{2} " alt=" (3
Rus_ich [418]
You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.
7 0
3 years ago
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