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damaskus [11]
3 years ago
9

For what value of a does (1/9)a+1 =81a+1 272-a?

Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0

Answer:

-4

Step-by-step explanation:

\left( \dfrac{1}{9}\right)^{a+1}= 81^{a+1}\cdot 27^{2-a}\\\\\\(3^{-2})^{a+1}=(3^4)^{a+1}\cdot (3^3)^{2-a} \\\\\\3^{-2a-2}=3^{4a+4}\cdot 3^{6-3a} \\\\\\3^{-2a-2}=3^{a+10} \\\\\\-2a-2=a+10 \\\\\\-3a=12 \\\\\\a=-4

Hope this helps!

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Which table represents the graph of a logarithmic function with both an x-and y-intercept?
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its the second option on edge

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3 years ago
8z-13=7 what's the number that replaces z
Goshia [24]
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3 years ago
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Find the slope of the line that passes through (3, 7) and (6, 8).
OLEGan [10]

Answer:

Slope = 1/3

Step-by-step explanation:

<em>Step 1: Define general form of equation of line</em>

An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept

<em>Step 2: Set up the system to solve for slope M of equation of line</em>

That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).

Substitute these values of x and y into the original equation in step 1:

7 = 3M + b

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<em>Step 3: Solve the system of equations in step 2 for M</em>

Subtract 1st equation from 2nd equation:

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Simplify both sides:

1 = 3M

Divide both sides by 3:

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Hope this helps!

:)

8 0
3 years ago
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Answer:

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2 years ago
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bazaltina [42]

Step-by-step explanation:

<u>Step 1:  Find f(2)</u>

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Answer:  Option C, 4

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