Mathematics: What s the y-intercept f(x) = (x+1)(x-9)(x-1)^2

What s the y-intercept f(x) = (x+1)(x-9)(x-1)^2

Ответ:

jpsaad00

17.03.2022

Mathematics

The y-intercept y = -9

Step-by-step explanation:

Given the function

$f\left(x\right)\:=\:\left(x+1\right)\left(x-9\right)\left(x-1\right)^2$

Determining the y-intercept of the function

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

so substitute x = 0 in the function

$y\:=\:\left(x+1\right)\left(x-9\right)\left(x-1\right)^2$

$y\:=\:\left(0+1\right)\left(0-9\right)\left(0-1\right)^2$

$y=1\cdot \left(-9\right)\left(0-1\right)^2$

$y=1\cdot \left(-9\right)\cdot \:1$

$y=-1\cdot \:9\cdot \:1$

y=-9

Therefore, the y-intercept y = -9

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Ответ:

strange5eyes

30.05.2021

Mathematics

Given:

Astronauts for NASA must measure between 62 and 75 inches tall.

To find:

The equation which best represents the minimum and maximum heights accepted for NASA astronauts.

Solution:

Let h be the height accepted for NASA astronauts.

Astronauts for NASA must measure between 62 and 75 inches tall.

$62\leq h\leq 75$

Subtract both sides by midpoint of 62 and 75, i.e., 68.5.

$62-68.5\leq h-68.5\leq 75-68.5$

$-6.5\leq h-68.5\leq 6.5$

We know that, $-a\leq x\leq a=|x|\leq a$ .

$|h-68.5|\leq 6.5$

So, the absolute inequality for heights accepted for NASA astronauts is $|h-68.5|\leq 6.5$ .

The equation of this inequality represents the minimum and maximum heights accepted for NASA astronauts.

|h-68.5|=6.5

Using this equation we get h=62,75 , which are minimum and maximum values respectively.

Therefore, the correct option is D.

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What's the y-intercept f(x) = (x+1)(x-9)(x-1)^2

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