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satela [25.4K]
3 years ago
12

How to simply 4 (2x)^3

Mathematics
1 answer:
Kruka [31]3 years ago
3 0
Remember the order of operations. The first step in this problem will be to solve the exponent. 

Take (2x)^3. Remember that since there are parentheses around 2x, that means you have to cube 2 and x.

(2x)^3 = 2^3 * x^3 = 8x^3

Now multiply that answer by 4 to finish simplifying.

8x^3 * 4 = 32 x^3 

Your answer should be: 32x^3
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Determine the amplitude, period, and phase shift of the function f(x)=cos (8(x-1))+2​
SCORPION-xisa [38]

We have been given a function f(x)=\text{cos}(8(x-1))+2. We are asked to find the amplitude, period and phase shift of the function

We can see that our given function is in form f(x)=A\cdot \cos(B(x-C))+D, where,

|A| = Amplitude.

Period = \frac{2\pi}{|B|}

C = Horizontal shift,

D = Vertical shift.

We can see that value of a is 1, therefore, the amplitude of given function would be 1.

We can see that B is equal to 8, so we will get:

\text{Period}=\frac{2\pi}{|B|}= \frac{2\pi}{|8|}=\frac{\pi}{4}

Therefore, the period of given function is \frac{\pi}{4}.

Since the value of C is 1, therefore, horizontal shift is 1.

Since the value of D is 2, therefore, vertical shift would be 2.

4 0
3 years ago
Solve V = 1/3(3.14)r^2h for h
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3 years ago
Read 2 more answers
Joey and Rita can individually paint a room in 8 hours. It takes Billy 12 hours to paint this same room. If all three work toget
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the answer is
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Hopes this helps!
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