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4 years ago

Consider functions f and g below.

Mathematics

2 answers:

Colt1911 [192]4 years ago

4 0

Answer:

Option D. -12x² - 3x + 27

Step-by-step explanation:

The given functions are f(x) = -9x² - 7x + 12 and g(x) = 3x² - 4x - 15

We have to find the value of f(x) - g(x)

f(x) - g(x) = (-9x² - 7x + 12) - (3x² - 4x - 15)

= -9x² - 7x + 12 - 3x² + 4x + 15

= (-9x² - 3x²) - (7x - 4x) + 12 + 15

= -12x² - 3x + 27

This value of f(x) - g(x) matches with option D.

Therefore, Option D. is the correct option.

Pani-rosa [81]4 years ago

3 0

Answer:

Step-by-step explanation:

f(x) - g(x) = -9x^2 - 7x + 12 - (3x^2 - 4x - 15) Remove the brackets

f(x) - g(x) = -9x^2 - 7x + 12 - 3x^2 + 4x + 15

f(x) - g(x) = -9x^2 - 3x^2 - 7x + 4x + 12 + 15

f(x) - g(x) = -12x^2- 3x + 27

Answer D

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3 years ago

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Method 1:

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<h3>Answer: Henry will need 3 cups of water.</h3>

Method 2:

$\begin{matrix}\dfrac{1}{4}\ \text{cup of corn}&-&\dfrac{1}{2}\ \text{cup of water}&|\text{multiply both sides by 2}\\\\\dfrac{1}{2}\ \text{cup of corn}&-&1\ \text{cup of water}&|\text{multiply both sides by 2}\\\\1\ \text{cup of corn}&-&2\ \text{cup of water}&|\end{matrix}$

$\begin{matrix}\left(\dfrac{1}{2}+1\right)\ \text{cups of corn}&-&(1+2)\ \text{cups of water}\\\\1\dfrac{1}{2}\ \text{cups of corn}&-&3\ \text{cups of water}\end{matrix}$

<h3>Answer: Henry will need 3 cups of water.</h3>

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3 years ago

Read 2 more answers

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Step-by-step explanation:

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3 years ago