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Alina [70]
2 years ago
7

Please help!! Take a factor out of the square root:

Mathematics
1 answer:
Doss [256]2 years ago
7 0

Answer:

2a times the sq root of 2a or 2a (2a)**1/2

Step-by-step explanation:

(8a**3)**1/2 =

((2**2 * 2) (a**2) (a))**1/2 then take out and squares

2a (2a)**1/2

or 2a times the sq root of 2a

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f(x) = x4 - 50x2 + 3 (a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.)
shtirl [24]

Answer:

  (-5, 0) ∪ (5, ∞)

Step-by-step explanation:

I find a graph convenient for this purpose. (See below)

__

When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...

  f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)

This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).

5 0
3 years ago
What is the solution of the equation e^xe^2x = 4? Round your answer to the nearest hundredth.
Stells [14]
The equation is:

[e^x] [e^(2x)] = 4

1) Applying property of multiplication of powers wiith same base =>

e ^ (x + 2x) = 4

=> e ^ (3x) = 4

2) Applying logarigth properties

3x = ln(4)

=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621

Answer: x = ln(4) / 3 ≈ 0.4621
8 0
3 years ago
Honestly I dont know how to do this just please help me
V125BC [204]
F(x) = 3x - 2
f(8) = 3(8) - 2
f(8) = 24 - 2
f(8) = 22
f(-5) = 3(-5) - 2
f(-5) = -15 - 2
f(-5) = -17
f(8) - f(-5) = 22 - (-17)
f(8) - f(-5) = 39
Hope this helped! Good luck! :)
7 0
3 years ago
miss Avery is going to bring the select one student from your class to read a poem out loud. There are 15 boys and 13 girls in t
tester [92]
There are 15 boys what are you asking the sentence is not complete
4 0
3 years ago
PLEASE HELP :)
Gnom [1K]

Answer:

Math can help us do many things that are important in our everyday lives. ... As a parent, you could talk to your teen about how you use math in your daily life. You ... Share with your child the examples of everyday math applications, which are listed ... Your teen will learn skills in algebra class that will help them with money.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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