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Marat540 [252]
4 years ago
12

Find (f-g)(x) for the following functions. f(x) = –12x3 + 19x2 – 5 g(x) = 7x2 + 15

Mathematics
2 answers:
Norma-Jean [14]4 years ago
4 0

<u><em>Answer:</em></u>

(f-g)(x) = -12x³ + 12x² - 20

<u><em>Explanation:</em></u>

<u>We are given that:</u>

f(x) = -12x³ + 19x² - 5

g(x) = 7x² + 15

To compute (f-g)(x), we will simply subtract the two functions

<u>This means that:</u>

(f-g)(x) = f(x) - g(x)

(f-g)(x) = (-12x³ + 19x² - 5) - (7x² + 15)

<u>Now, we compute the subtraction by gathering like terms to simplify the equation</u>

(f-g)(x) = (-12x³ + 19x² - 5) - (7x² + 15)

(f-g)(x) = -12x³ + 19x² - 5 - 7x² - 15

(f-g)(x) = -12x³ + x²(19-7) - 5 - 15

(f-g)(x) = -12x³ + 12x² - 20

Hope this helps :)

Alex_Xolod [135]4 years ago
4 0

Answer:

all work is shown and pictured

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I hope this helped and have a good rest of your day!

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3 years ago
The circles are identical. What is the circumference of each circle? Circle 1: radius of 2x; Circle 2: diameter of 2x+3. A. 3/2
Delicious77 [7]

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C=6π

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7 0
3 years ago
What is $6.25 marked up 25%
Marta_Voda [28]

Answer:

$6.25 marked up 25% is $7.81

Step-by-step explanation:

First, you have to find what 25% is of 6.25.

Step 1: Our output value is 25.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 25=100%.

Step 4: Similarly, x=6.25%.

Step 5: This results in a pair of simple equations:

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Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

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<u>25 </u> =   <u>100</u>

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Step 7: Again, the reciprocal of both sides gives

<u> x </u> =  <u>6.25</u>

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x= 1.5625

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Once you've known what 25% is, you add it to 6.25.

1.56+6.25= 7.81

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3 years ago
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