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son4ous [18]
3 years ago
10

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

Mathematics
1 answer:
pishuonlain [190]3 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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The sum of two numbers is 12. The first number,x, is twice the second number ,y,
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Judging by the question at hand I generated this equation.
x+y=12
x=2y

I begin this question by plugging in the x=2y into the equation for x. 
So the new equation should be 3y=12. I then divide the entire equation by 3 to get y=4.

Next I plug y=4 into the equation, the new equation should be x+4=12. I then subtract 4 from both sides to get x=8.

The two numbers are :
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3 0
3 years ago
What affect the interest rate has on your monthly mortgage payment.
Elanso [62]

Answer:

Down payment

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Step-by-step explanation:

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2 years ago
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Lubov Fominskaja [6]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Choose the correct equation for the line shown on the graph?
fomenos

<u>Answer:</u>

y=-1/4x-1

<u>How to find the </u><u>slope</u>

To find the slope of the line you need to do the change in y/change in x. This is also known as the rise/run. To do this you count the spaces in between the two points.

In this graph the change in y (rise) is 2. The change in x (run) is 8. Since the line is going down they are negative. The rise/run is -2/8. This can be simplified to -1/4.

Slope: -1/4x

<u>How to find the y-intercept</u>

To find the y-intercept, you need to look at where the line crosses y.

In this graph the line crosses y at -1.

Y-intercept: -1

<u>Final</u><u> </u><u>equation</u><u>:</u><u> </u><u>-</u><u>1</u><u>/</u><u>4x-1</u>

3 0
2 years ago
PLEASE HELP MY GROUP
Hoochie [10]

A=1007.27

B=2895.29

C=≈2714.34

D=111.84

6 0
2 years ago
Read 2 more answers
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