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Pavel [41]
3 years ago
8

For the function f (x) = 8 - x2 evaluate f (-2) 4 12 -32 0

Mathematics
1 answer:
professor190 [17]3 years ago
3 0
The answer is 12

Explanation: as you replace -2 it will give 4 so when u add 4 to 8 it equals to 12
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Determine algebraically all points where the graphs of XY equal 10 and Y equals X +3 intersect
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XY=10
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Without using a calculator, determine the number of real zeros of the function
kumpel [21]

The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

<h3>How to determine the number of real zeros?</h3>

The equation of the function is given as:

f(x) = x^3 + 4x^2 + x - 6

Expand the function

f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6

Reorder the terms

f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6

Factor the expression

f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)

Factor out x -1

f(x) = (x^2 + 5x + 6)(x -1)

Expand

f(x) = (x^2 + 3x + 2x + 6)(x -1)

Factorize

f(x) = [x(x + 3) + 2(x + 3)](x - 1)

Factor out x + 2

f(x) = (x + 3)(x + 2)(x- 1)

The function has been completely factored and it has 3 linear factors

Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

Read more about functions at:

brainly.com/question/7784687

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3 0
2 years ago
6x-3-11-8x=2 please show work
Ludmilka [50]

Answer: is x = -8

this is how i got it ______

6 x - 3 - 11 - 8 x = 2

(simplify both sides and combine like terms)

(6x + -8x ) + ( -3 + -11) = 2

- 2x  +  -14 = 2

-2x  -  14 = 2

( then you add 14 to both sides)

- 2x - 14 = 2

     +14       +14

-2x = 16

( then you divide both sides by -2)

-2x / -2   =   16/ -2

x = -8

ta da!! happy to help!

it made it here. this is for the second one.

( first, we subtract 8n from both sides)

13n + 26 = 8n - 29

-8n           -8n

5n + 26  =  -29

( then we subtract 26 from both sides)

5n + 26 = -29

     - 26    -26

5n = - 55

(after that we divide both sides by 5, we do this to make n alone )

5n/ 5 = -55/ 5

n = -11

7 0
2 years ago
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