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fenix001 [56]
3 years ago
9

Please solve the following inequality, showing all work and then list 3 numbers that are in the solution set. x/6 - 3 ≥ 2

Mathematics
1 answer:
Ber [7]3 years ago
3 0
X/6 - 3 ≥ 2
x/6 ≥ 3+2
x/6≥5
x≥30

3 numbers in solution set: 36, 42, 48
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F’(x)= 1+3 square root x f(9)=68
notka56 [123]

Answer:

f(x) = x + 2x^\frac{3}{2} + 5

Step-by-step explanation:

I'm assuming the question here is asking for f(x)

The first step would be to find the antiderivative of f'(x)

\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx

Apply the reverse power rule

x + 2x^\frac{3}{2} + C

Now solve for C when x = 9

x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5

Now substitute into the antiderivative

f(x) = x + 2x^\frac{3}{2} + 5

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4 years ago
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3 years ago
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7 0
3 years ago
Which is a perfect square between, 5, 8 ,36, 44?????
posledela
A perfect square is defined as the product of two equal whole numbers.
For example;
5 x 5 = 25, 25 is a perfect square.

5 has the factors of 1&5 and no self-multiplied factors, so it is NOT a perfect square.
8 has the factors of 1&8 and 2&4, and has no self-multiplied factors so it is NOT a perfect square.
36 has the factors of 1&36, 2&18, 3&12, 4&9, and 6&6.
36 has 6•6, which is a perfect square.

Although there could be more than two numbers that the question's asking for, 44 (simply put) is not a perfect square.

36 is your answer.

I hope this helps!
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