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gladu [14]
2 years ago
9

Evaluate the function. f(x) = -4x^2+9Find f(-3)

Mathematics
2 answers:
Svetlanka [38]2 years ago
5 0

Answer:

-27

Step-by-step explanation:

  1. f(x) = -4x² + 9
  2. f(-3) = -4(-3)² + 9
  3. f(-3) = -4(9) + 9
  4. f(-3) = -36 + 9
  5. f(-3) = -27
svetlana [45]2 years ago
4 0

Answer:

f(-3)=-27

Step-by-step explanation:

So we have the function:

f(x)=-4x^2+9

And we want to find f(-3).

So, let's substitute -3 for x. Therefore:

f(-3)=-4(-3)^2+9

Square:

f(-3)=-4(9)+9

Multiply:

f(-3)=-36+9

Add:

f(-3)=-27

And we're done!

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Answer:

The growth factor of <em>f(x)</em> is <em>less</em><em> </em><em>than</em><em> </em>the growth factor of <em>g(x)</em>.

Explanation:

\displaystyle g(x) = 3(4)^x \\ \\ f(x) = 4(3)^x

<em>x</em><em> </em> | <em>f(x)</em>

_____

0 | 4

1 | 12

2 | 36

You can tell because the <em>g</em><em>(</em><em>x</em><em>)</em><em> </em>function is multiplying by 4, while the <em>f</em><em>(</em><em>x</em><em>)</em><em> </em>function is multiplying by 3.

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3 years ago
What is the PV of an ordinary annuity with 10 payments of $2,700 if the appropriate interest rate is 5.5%? Group of answer choic
Verizon [17]

Answer:

The PV of an ordinary annuity with 10 payments of $2,700 if the appropriate interest rate is 5.5% is $20,352.

Step-by-step explanation:

P = PMT [(1 - (1 / (1 + r)^{n})) / r]

= 2,700 [(1 - (1 / (1 + 0.055)^{10})) / 0.05]

= 2,700 [(1 - (1 / (1 + 0.055)^{10})) / 0.05]

= 2,700 [(1 - (1 / (1.708)) / 0.05]

= 2,700 [(1 - 0.58)) / 0.05]

= 2,700 [(0.41457) / 0.05]

= 2,700(7.53)

=$ 20,352

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3 years ago
What percent of gas stations sell a gallon of regular gas<br> for less than $1.97?
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Answer:

Step-by-step explanation:

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60 is 15% of what number?
Margaret [11]
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Answer:

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Step-by-step explanation:

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