A function h(x)=-5/7x-3. By how much h(x) will decrease/increase, if x decreases by 21.

Mathematics

1 answer:

Fofino [41]3 years ago

7 0

Answer:

increase by 15

Step-by-step explanation:

We know the rate of change of h(x) is given by the coefficient of x, -5/7. This means any change in x will be reflected as a change in h(x) by -5/7 times the amount of the change.

Here, we're talking about a change in x of -21, so the change in h(x) will be ...

(-5/7)·(-21) = 5·(21/7) = 15

The positive sign means the value of h(x) will increase by 15.

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Can someone explain how to do this please?

Rufina [12.5K]

for the columns where is less than or equal zero, use the first line of the function to calculate the value of f(x)

${ ( \frac{1}{3} ) }^{ - 2} - 1 = 9 - 1 = 8 \\ { ( \frac{1}{3} ) }^{ - 1} - 1 = 3 - 1 = 2 \\ { ( \frac{1}{3} ) }^{ 0} - 1 = 1 - 1 = 0$

for every x greater than zero, use the second line to determine the value

${3}^{1} - 2 = 3 - 2 = 1 \\ {3}^{2} - 2 = 9 - 2 = 7$

hope this helps and gives some insight what to do.

if there are open questions left, feel free to ask them in the comments

have a beautiful day

-Alex

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3 years ago

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