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Marat540 [252]
3 years ago
7

Factor completely 16a^3b^7 + 2a^6b^4 - 22a^4b^5

Mathematics
1 answer:
Alina [70]3 years ago
4 0

Answer:

2a^3b^4(8b^3+a^3-11ab)

Step-by-step explanation:

as^3b^4(8b^3) +2a^6b^4-22a^4b^5\\2a^3b^4(8b^3)+2a^3b^4(a^3)-22a^4b^5\\2a^3b^4(8b^3)+2a^3b^4(a^3)+2a^3b^4(-11ab)\\2a^3b^4(8b^3+a^3)+2a^3b^4(-11ab)\\2a^3b^4(8b^3+a^3-11ab)

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If ƒ(x) = 2x, then ƒ -1(x) =<br><br> -2x<br> ½x<br> x - 2
kap26 [50]

Answer: second option

Step-by-step explanation:

To find the inverse function of the given function f(x):

f(x)=2x

You need to:

Substitute f(x)=y into the function:

 y=2x

Now, you need  to solve for "x", to do this, you must divide both sides of the function by 2:

\frac{y}{2}=\frac{2x}{2}\\\\\frac{y}{2}=x

Now, replace "x" with "y" and replace "y" with "x":

\frac{x}{2}=y

Therefore, substituting y=f^{-1}(x) you get:

f^{-1}(x)=\frac{x}{2} or  f^{-1}(x)=\frac{1}{2}x

7 0
3 years ago
What is the solution for 4/5x-2=x-1/3
Veseljchak [2.6K]

Answer: Is -25/3 or -8.3 repeating.

3 0
3 years ago
If B is the midpoint of AC, AB = 8x + 5, and BC = 5x2 - 16, then find x and AC
Murljashka [212]

Answer:

Step-by-step explanation:

AB = 8x + 5

BC = 5x² - 16

5x² -  16 = 8x + 5

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Quadratic formula

x = [8 ± √(8² – 4·5(-21))] / [2·5]

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-1.4 is an extraneous solution.

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3 years ago
Rafael can type 24 words in 6 minutes. What is his rate in words per minute
Xelga [282]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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What is the measure of the radius of the cone in the diagram below?
kondor19780726 [428]

Answer:

Option (2)

Step-by-step explanation:

Radius of the circular base of the cone = \frac{1}{2}(\text{Diameter of the circular base})

Given in the picture,

Diameter of the circular base = 8 cm

Height of the cone = 6 cm

Therefore, radius of the cone = \frac{8}{2}

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Option (2) will be the correct option.

6 0
3 years ago
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