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1 year ago

What is the value of g(f(x)) when x = -2 if f(x) = x³

Mathematics

1 answer:

finlep [7]1 year ago

4 0

Answer:

g(f(-2)) = -15

Step-by-step explanation:

• f(x) = x³

Then

f(-2) = (-2)³ = -8

• When x = -2 → g(f(x)) = g(f(-2)) = g(-8)

Since -8 ≤ 0 then g(-8) = 2×(-8) + 1 = -16 + 1 = -15

<u><em>Conclusion</em></u>:

g(f(-2)) = -15

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1220000 scientific notation

Nutka1998 [239]

Answer:

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Step-by-step explanation:

1,220,000 would be...

1.22 x 10^6

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3 years ago

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A photograph measures 12 centimetres by 20 centimetres. A printing company enlarges the photo. The length of the enlarged photo

Studentka2010 [4]

Answer:

36 centimeters

Step-by-step explanation:

Since one side is 60 centimeters, just divide by 20 and get 3

Then multiply 12 by 3 and get 36

I hope this helps!

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2 years ago

A bacterial culture grows exponentially according to the function n(t)=n(e^n), where n(t) is the quantity after t hours and n is

mart [117]

Answer:

$n(t=2) = 2 e^{1.386294361(2)}=32 grams$

So then after 2 hours we will have 32 grams.

Step-by-step explanation:

For this case we have the followin exponential model:

$n(t) = n e^{rt}$

n(t) is the quantity after t hours, n is the original quantityand t represent the hours and r the rate constant.

For this case we know that n(0) = 2 grams and n(3) = 128 grams and we want to find n(2)=?

From the initial condition we know that n = 2, and we have the model like this:

$n(t) = 2 e^{rt}$

Now if we apply the other conditionn(3) = 128 we got:

$128 = 2 e^{3r}$

If we divide both sides by 2 we got:

$64= e^{3r}$

If we apply natural log for both sides we got:

$ln(64) = 3r$

$r = \frac{ln(64)}{3}=1.386294361$

And our model is this one:

$n(t) = 2 e^{1.386294361t}$

And if we replace t = 2 hours we got:

$n(t=2) = 2 e^{1.386294361(2)}=32 grams$

So then after 2 hours we will have 32 grams.

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2 years ago

The red square is the image of the blue square after a SINGLE transformation. Use two or more complete sentences to describe eac

Leni [432]

The transformations which can lead to the red square image of the blue Square are; Translation, Reflection, Rotation.

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Translation is when we slide a figure in any direction. The translation of the shape can be by moving the blue leftward or rightward and the then downward.
Reflection is when we flip a figure over a line. The reflection involves reflect the blue Square over the line; y = x.
Rotation is when we rotate a figure a certain degree around a point. The rotation is by rotating the blue Square over 180⁰.