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son4ous [18]
4 years ago
10

If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f + g)(x).​

Mathematics
1 answer:
pishuonlain [190]4 years ago
7 0

Answer:

(f+g)(x) = 3x^{2} - 6

Step-by-step explanation:

First, lets understand what (f+g)(x) means.

(f+g)(x) is when you are taking the values in the function f(x) and adding it to the values in the function g(x).

So, this is what the equation looks like when you substitute the functions in to (f+g)(x):

(f+g)(x) = (2x^{2} +1) + (x^{2}  -7)

Now, combine like terms and Simplify:

(f+g)(x) = 3x^{2} - 6

This is your final answer.

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Answer:

$161.50

Step-by-step explanation:

the revenue for an item of $85 with a 90% markup is $161.50

3 0
3 years ago
Which expression is equivalent to 5(2+7)?<br> A. 2(5+7)<br> B. 2+7(5)<br> C. 5(2)+7<br> D. 5(2)+5(7)
Kipish [7]
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8 0
3 years ago
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7 0
3 years ago
Factor 15z^2+17z-18 please show work
siniylev [52]

There is no common factor between 15, 17 and 18 because 17 is prime.  

15z² +17z - 18 =  

d = 17² - 4.15.-18  

d = 289 + 1080  

d = 1369  

z = (-17 +/- \/1369) : 2 * 15  

z = (-17 + 37) : 30  

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<><

7 0
3 years ago
Parabolas y=−2x^2 and y=2x^2 +k intersect at points A and B that are in the third and the fourth quadrants respectively. Find k
OverLord2011 [107]

Answer:

-25  

Step-by-step explanation:

(1)   y = -2x²

(2) y =   2x² + k     Subtract (1) from (2)

    0 =  4x² + k      Subtract 4x² from each side

    k = -4x²

The parabolas are <em>symmetrical about the y-axis.</em>

Segment AB = 5, so x = +2.5 and x = +2.5.

k = -4(±2.5)² = -4 × 6.25 = -25

8 0
3 years ago
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