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IrinaK [193]
3 years ago
14

Please simplify (4x^2) ^3

Mathematics
1 answer:
AnnyKZ [126]3 years ago
6 0

Answer:

64x^6

Step-by-step explanation:

4x^2 x 4x^2 x 4x^2

16x^4 x 4x^2

64x^6

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3 0
3 years ago
Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.
Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

f(x) = 4x^2 - 3

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

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

f(3) = 4(9) - 3

f(3) = 36 - 3

f(3) = 33

To find f(9), replace x with 9 in the given function

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

f(9) = 4(81) - 3

f(9) = 324 - 3

f(9) = 321

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 3, f(a) = 33

b = 9, f(b) = 321

Plug in the values into the formula for average rate of change.

= \frac{321 - 33}{9 - 3}

= \frac{288}{6}

= 44

Average rate of change = 44

3 0
3 years ago
every prime number greater than 10 has a digit in the ones place that is included in which set of numbers below?
stich3 [128]
So we can start with the full of possibilities and eliminate them one by one.

The full set is {0,1,2,3,4,5,6,7,8,9}.

Now we know that any prime greater than 2 is odd as otherwise it would have 2 as a factor, so we can eliminate all of these digits that would be an even number, leaving:

{1,3,5,7,9}

We also know that any prime greater than 5 cannot be a multiple of 5 and that all numbers with 5 in the digits are a multiple of 5, so we can eliminate 5.

{1,3,7,9}

We know that 11,13,17 and 19 are all primes, so we cannot eliminate any more of these, leaving the set:

{1,3,7,9} as our answer.
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Helppp! asap! plsssss:)!
maks197457 [2]

Answer:

i think its 180 degrees.

Step-by-step explanation:

5 0
3 years ago
Ollie and 5 of his friends are going bowling. The cost for each of them is $12.30. How could you mentally go about finding the t
nika2105 [10]

Answer:

The answer is 73.8

Step-by-step explanation:

Just multiply 12.30 by 6 5 friends and olly

4 0
3 years ago
Read 2 more answers
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