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KonstantinChe [14]
3 years ago
11

If f(x)= x^2 and g(x) = 4f (x)-1 then which of the following is the value of g (-3)

Mathematics
1 answer:
Sati [7]3 years ago
6 0

Answer:

<h3>27</h3>

Step-by-step explanation:

Given

f(x)= x^2-2 and g(x) = 4f (x)-1

g(x) = 4(x^2-2) - 1

g(x) = 4x²-8-1

g(x) = 4x²-9

Get g(-3):

g(-3) = 4(-3)²-9

g(-3 = 4(9) - 9

g(-3) = 36-9

g(-3) = 27

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Simplify the expression to a polynomial in standard form:
lukranit [14]

Answer:

-x^3+7x^2-6x-18

Step-by-step explanation:

Use distributive property: (-x+3)(x^2-4x-6)

What is -x * x^2? Answer: -x^3

What is 3 * x^2? Answer: +3x^2

What is -x * -4x? Answer: +4x^2

What is 3* -4x? Answer: -12x

What is -x * -6? Answer: +6x

What is 3 * -6? Answer: -18

-x^3+3x^2+4x^2-12x+6x-18

Combine like terms, and your answer would be....

-x^3+7x^2-6x-18

Hope this helps :)

Have a great day!

7 0
2 years ago
Write 24 as the product of two factors. One of the factors should be a sum.
liraira [26]

Answer:

i don't know

Step-by-step explanation:

3 0
3 years ago
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2x squared - 3x = 2x - 2
elena-s [515]
Answer: x=1/2 or x=2
4 0
3 years ago
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Convert the units of measure
Serjik [45]

Answer:

<h2><u><em>22.5</em></u></h2>

Step-by-step explanation:

24 hr in a day

so

540 : 24 = 22.5 or 22 1/2

6 0
3 years ago
6.
lianna [129]

Answer:

  D.  y = 3/5x + 13/5

Step-by-step explanation:

The slope of the desired line is the ratio of the difference in y-values to the difference in x-values:

  m = Δy/Δx = (2 -5)/(-1 -4) = -3/-5 = 3/5 . . . . . . eliminates choices B and C

The slope-intercept equation will then be ...

  y = mx + b . . . . . . . generic slope-intercept form

  y = 3/5x + b . . . . . . put in m; true for some b that puts the given points on the line

Using the first point, we have ...

  5 = 3/5×4 + b

  25/5 = 12/5 + b

  13/5 = b . . . . . . . . . subtract 12/5

Then the equation is ...

  y = 3/5x + 13/5

_____

You know as soon as you consider putting a point value in the equation ...

  y = 3/5x + b

that the equation of choice A cannot work. That only leaves choice D.

8 0
3 years ago
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