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sashaice [31]
3 years ago
8

If the interval (a, oo) describes all values of x for which the graph of f(x) =

Mathematics
1 answer:
zysi [14]3 years ago
3 0

Answer:

Answer:

a = - 1.1

Step-by-step explanation:

Condition for a single variable function f(x) to be decreasing is f'(x) < 0.

So, in our case, .

Then, differentiating with respect to x on both sides we get,

⇒

⇒

{Dividing both sides with - 1 and hence the inequality sign changes}

⇒

⇒ 8 > - 6x³ {Multiplying both sides with x³}

⇒ 6x³ > - 8 {Interchanging the sides}

⇒

⇒ x > - 1.1

Therefore, a = - 1.1. (Answer)

Step-by-step explanation:

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5 0
3 years ago
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Solve for z. z−9=27 3 16 18 36
alex41 [277]
Z - 9 = 27      |add 9 to both sides

z = 36
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3 years ago
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Find the Area of the triangle, Is it In or In2
mars1129 [50]

Answer:

15 In²

Step-by-step explanation:

Area of triangle = 1/2 × base × height

1/2 × 6 × 5 = 15

8 0
2 years ago
Find the missing exponent in each expression
Naily [24]

Answer:

See below.

Step-by-step explanation:

Multiplying terms with exponents make the exponents add together.

13.) x² · x⁵ = x⁷

14.) b⁵ ·  b³ = b⁸

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8 0
3 years ago
At the beach, 11% of people have white towels and 53% have blue towels. If
telo118 [61]

Answer:

36 percent.

Step-by-step explanation:

We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.

With this information, we can find the remaining percentage of people that have red towels.

Recall that the total percentage is always 100 percent.

lets make r for the percentage of people that have red towels.

You can solve it by changing it to fraction, decimal, or just keep it at percent.

I will show you all of the possible ways.

Percent:

11 percent plus 53 percent plus r =100 percent

combine the like terms, or add 11 plus 53 to simplify the equation.

You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.

100-64 is 36 percent.

r=36 percent of people who have red towels.

With fractions.

Write it as 11/100 plus 53/100 plus r/100= 100/100.

Combine the fractions.

64/100 plus r/100=100/100.

Subtract both sides by 64/100.

You are left with r=36/100, 9/25, or 36 percent.

With decimals.

11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.

53 percent is 0.53.

r is r.

100 percent is 1.

0.11 plus 0.53 plus r=100

Combine or add 0.53 and 0.11. That is 0.64.

Subtract both sides by 0.64.

You get r to be 0.36 or 36 percent.

I hope this helps, and I hope you have a good day!

8 0
3 years ago
Read 2 more answers
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