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inysia [295]
2 years ago
6

Solve: 9^2x + 1 = 9^3x – 2

Mathematics
2 answers:
nirvana33 [79]2 years ago
7 0

Answer:

1/216

Step-by-step explanation:

Move variables to one side and constants to the other

9^3x-9^2x=3

factor out 9^2x

(9^2x)(8)=3

9^2x=3/8

3^4x=3/8

3^3x=1/8

x=1/8 x 27

x=1/216

kipiarov [429]2 years ago
6 0

Answer:

x = 1/216

Step-by-step explanation:

Simplify the equation, like the powers.

81x + 1 = 729x - 2

Subtract 729x on both sides to balance the equation.

-648x + 1 = - 2

Then subtract 1 from both sides.

-648x = -3

Finally divide by -648, which then leaves x equal to 1/216

x = 1/216

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Angle 1 is vertical to Angle 2. Angle 1 =94, Angle 2 = 2(x-13), Find the value of x.
rodikova [14]

Answer:

x= 56

Step-by-step explanation:

86+94= 180 which if supplementary angles have to equal 180°

I don't know if you can tell but what's in red means distribute

then I added 26 on both sides with like terms

on the left side 86+26=112 and right side is left with 2x

then divide both sides by 2 to leave x by itself

112/2= 56 and 2x/2=x

so 56=x

4 0
2 years ago
Find the interest rate r compounded monthly if the principal P = $4,300 reaches the future value F = $4,720 in t = 6 years. Roun
kirza4 [7]

Answer:

  1.55%

Step-by-step explanation:

Fill in the values and solve for the rate using the future value formula.

  FV = P(1 +r/n)^(nt)

  4720 = 4300(1 +r/12)^(12·6)

  (4720/4300)^(1/72) = 1 +r/12

  r = 12(4720/4300)^(1/72) -1) ≈ 0.015542

The annual interest rate is about 1.55%.

4 0
3 years ago
Does (9,8) make the inequality y < 10×+8 true
ExtremeBDS [4]

Answer:

Yes, the point makes the inequality true

Step-by-step explanation:

y < 10x+8

Substitute x =9 and y=8 into the inequality

8 < 10*9+8

8<90+8

8<98

This is true so the point makes the inequality true

7 0
3 years ago
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What is 13x7?????????????
m_a_m_a [10]
91 ! just use a calculator or do it by hand
7 0
3 years ago
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What is the common ratio between successive terms in the sequence?
seropon [69]

Answer:

- 2

Step-by-step explanation:

common ratio is - 2

3 0
3 years ago
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