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3 years ago

7

Suppose a plant grow one inch every year if X is how old the plant is (years) and f(x) is how tall the plant is (in inches) what

type of function is f(x)?
A. constant function
B. identity function
C. absolute value function
D. step function

1 answer:

miskamm [114]3 years ago

5 0

It’s C. absolute value function

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You are shot out of a cannon at the fair. The equation y=-1/5(x+2) (x-28) models your flight path, where y is the height above t

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Q: You are shot out of a cannon at the fair. The equation y=-1/5 * (x+2) (x-28) models your flight path, where y is the height above the ground and x is the horizontal distance. Which of the following statements in the comments are true?

a) You reach a maximum height of 45 feet,

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3 years ago

The shorter leg of a right triangle is 5 inches shorter than the longer leg. The hypotenuse is 5 inches longer than the longer l

Licemer1 [7]

Answer:

longer leg: 20 in

shorter leg: 15 in

hypotenuse: 25 in

Formulas:

<u>Pythagorean Theorem</u>

$c^2 = a^2 + b^2$

c ... hypotenuse

a ... one leg

b ... another leg

Pythagorean theorem is used in right triangles (triangles in which one angle is 90°).

Step-by-step explanation:

longer leg: x

shorter leg: x - 5

hypotenuse: x + 5

To find x (longer leg), let's use Pythagorean theorem.

$c^2 = a^2 + b^2\\(x+5)^2 = x^2 + (x-5)^2\\x^2 + 10x + 25= x^2 + x^2 -10x + 25\\x^2 + 10x = 2x^2 - 10x\\0 = x^2 - 20x$

Now let's factorize to get solutions for x.

$0 = x(x-20)$

First solution:

$x = 0$

Second solution:

$x - 20 = 0\\x = 20$

Since a side of a triangle has to be a positive number, x is equal to 20.

Now let's just substitute x back to get side lengths. From the question the lengths are in inches.

longer leg: x = 20 in

shorter leg: x - 5 = 20 - 5 = 15 in

hypotenuse: x + 5 = 20 + 5 = 25 in

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