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3 years ago

14

When Ethan began a weight loss program, he weighed 284 pounds. He was able to lose exactly 3 pounds every month. How much would

weigh 41 months after starting the weight loss program? Round to the nearest tenth (if necessary)

1 answer:

OlgaM077 [116]3 years ago

8 0

Answer:

161 pounds

Step-by-step explanation:

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Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).

Tamiku [17]

Our quadratic polynomial function is:

f(x) = 4x^2 + 2x + 5

our linear binomial form is:
x - a = -2
hence:
a = x + 2

and so we have:
f(x) = 4x^2 + 2x + 5
f(a) = 4(x + 2)^2 + 2<span>(x + 2)</span> + 5
= 4(x^2 + 4x + 4) + 2x + 4 + 5
f(a) = 4x^2 + 18x + 25

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4 years ago

Which statements about the hyperbola are true? Check all that apply.

never [62]

Answer:

Only option A is correct.

Step-by-step explanation:

From the given figure it is noticed that the vertices of hyperbola are (0,8) and (0,-8). It is a vertical hyperbola.

It means a=8.

From the rectangle we can say that the value of b is 6.

$c^2=a^2-b^2$

$c^2=(8)^2+(6)^2$

$c^2=100$

$c=10$

The focus of a vertical hyperbola are (0,c) and (0,-c). So, the focus of hyperbola are (0,10) and (0,-10).

Therefore option A is correct.

Asymptotes of a vertical hyperbola are

$y=\pm \frac{a}{b}x$

$y=\pm \frac{8}{6}x$

$y=\pm \frac{4}{3}x$

Directrix of a vertical hyperbola are

$y=\pm \frac{a^2}{c}$

$y=\pm \frac{(10)^2}{6}$

$y=\pm \frac{50}{3}$

Only option A is correct.

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3 years ago

N2-14n+49 what’s the answer

stira [4]

(n-7) (n-7) will be your answer

n x n = n²

n x -7 = -7n
n x - 7 = -7n
-7n +(-7n) = -14n
-7 x -7 = 49

(n-7)² is your answer

hope this helps

and if you are doing the other thing

n = 7, 7

hope this helps

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3 years ago

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PLEASE HELP ME ON THIS MATH QUESTION ASAP !!!!

Mashcka [7]

the answer is C.

by the formula vertex (xv,yv) y=a(x-xv)²+yv

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3 years ago

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DerKrebs [107]

Answer:

We need to know what the program is...

Step-by-step explanation:

This question is literally unanswerable as some programs last 2 seconds and some would last thousands of years. More context as to what the program is please.

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3 years ago