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3 years ago

Simplify (3^5)^2 / 3^-2

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

5 0

Answer:

Hi there,

Your answer is D.

Step-by-step explanation:

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State the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation

aleksandr82 [10.1K]

Answer:

Domain: $[-1,\infty)$

Range: $(-\infty, 3]$

Decreases over: $(-1,-\infty)$

Step-by-step explanation:

Given

$f(x) = -\sqrt{x + 1} + 3$ --- Missing from the question

Solving (a): The domain

To get the domain, the expression under the square root must not be negative.

In other words:

$x + 1 \ge 0$

Solve for x

$x + 1 -1\ge 0-1$

$x \ge -1$

Hence, the domain is:

$[-1,\infty)$

To get the range, we plot the values of the domain in the expression.

$x = -1$

$f(x) = -\sqrt{x + 1} + 3$

$f(-1) = -\sqrt{-1+1} +3$

$f(-1) = -\sqrt{0} +3$

$f(-1) = -0 +3$

$f(-1) = 3$

$x = \infty$

$f(\infty) = -\sqrt{\infty +1}+3$

$f(\infty) = -\sqrt{\infty}+3$

$f(\infty) = -\infty+3$

$f(\infty) = -\infty$

So, the range is: $(-\infty, 3]$

To get the interval where the function increases or not, we simply plot the graph of f(x).

See attachment for graph.

From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.

This implies that, the graph decreases over the interval $(-1,-\infty)$

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3 years ago

Chef Willie can make 54 pies in 2 hours. At this rate, how many pies can he make in 1 hour?

mihalych1998 [28]

27 pies in one hour 54=2 hours 54 divided by 2 equals 27

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3 years ago

A customer calls and has questions about the bill for their first month's subscription. They want to know why the monthly rate i

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The most likely thing that has happened in this case is that a fee is paid for the registration.
The function that best models this problem is:
y = 45x + 15
Where,
x: number of months.
Y: payment of each month.
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y = 45 (1) +15
y = 45 + 15
y = 60
answer:
the most likely reason for the bill being this amount is
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4 years ago

Ameee worked 3 times as many hours as Simi each week during the summer. If Simi worked 10 hours each week, how many hours did Am

defon

Answer:

3 ×10=30

Step-by-step explanation:

multiply 3 times 10

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3 years ago

If someone gives u $500 and u lose it. Then someone else gives u $500 and u spent $300. You give the second person $100 and the

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Assuming you don’t owe what you didn’t spend, you owe $500

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4 years ago