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love history [14]
3 years ago
14

Given that f(x)=x2-1 and g(x)=2x+8 find (g-f)(10)

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0

Answer:

<h2>(g-f)(10) = - 71</h2>

Step-by-step explanation:

f(x) = x² - 1

g(x) = 2x + 8

To find (g-f)(10) first find ( g - f)(x)

To find ( g - f)(x) subtract f(x) from g(x)

That's

( g - f)(x) = 2x + 8 - ( x² - 1)

Remove the bracket

( g - f)(x) = 2x + 8 - x² + 1

Simplify

( g - f)(x) = - x² + 2x + 9

To find (g-f)(10) substitute the value in the bracket that's 10 into ( g - f)(x)

That is

(g-f)(10) = -(10)² + 2(10) + 9

= - 100 + 20 + 9

= - 100 + 29

= - 71

Hope this helps you

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Which statement about these figures is true?
VikaD [51]

Answer:

OA and OC hope that helps :)

5 0
3 years ago
Estamate 12871+6281+5146 by first rounding each number to the nearest thousand.
Pie
12,871 rounded to nearest thousand = 13,000.

6281 rounded to nearest thousand = 6,000.

5146 rounded to nearest thousand = 5,000.

In total, 13,000 + 6,000 + 5,000 = 24,000.
4 0
3 years ago
One student simplified x5 + x5 to x10 . A second student simplified x5 + x5 to 2x5 . Which student is correct? Explain.
dybincka [34]

An expression is defined as a set of numbers, variables, and mathematical operations. The second student is correct.

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given One student simplified x⁵ + x⁵ to x¹⁰. The second student simplified x⁵+x⁵ to 2x⁵. Since the simplification of (x⁵+x⁵) is equal to 2x⁵. Therefore, the second student is correct.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

5 0
1 year ago
Suppose the polynomial f(x) has the following end behavior: as x approaches infinity, f(x) approaches infinity, and as x approac
galina1969 [7]

Answer:

C. x³+10x²−5x+5

E. 7x⁵+4x²

F. x+8

Step-by-step explanation:

The graph they described should look something like the one i drew below.

So all you have to do is look at the number with the highest exponent.

If the exponent is an odd number and the x is positive then that function will have an end behavior like the picture i posted.

x³ is good

-x³ is bad because of the negative sign

x² is bad because exponent is even

x⁷ is good

123x¹ is good

6 0
3 years ago
I NEED HELP ASAP
Maru [420]

Answer:

1x + 4y = 4 ⇒ 6x + 24y = 24

6x -  8y = 0 ⇒ 6x -   8y = 0  

                              32y = 24

                               32     32

                                  y = 3/4

                    x + 4(3/4) = 4

                           x + 3 = 4

                               -3   -3

                                x = 1

                           (x, y) = (1, 3/4)

Step-by-step explanation:

up there :D

4 0
2 years ago
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