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3 years ago

Write the equation in the form y = a • b^x given the table below.

Mathematics

1 answer:

MrRa [10]3 years ago

6 0

9514 1404 393

Answer:

y = 1 · 5^x

Step-by-step explanation:

Use the given values in the given formula and solve for 'a' and 'b'.

y = a·b^x

5 = a·b^1 . . . . . . for (x, y) = (1, 5)

125 = a·b^3 . . . . for (x, y) = (3, 125)

Divide the second equation by the first:

125/5 = (a·b^3)/(a·b^1)

25 = b^2 . . . simplify

5 = b . . . . . . . take the square root

Substituting into the first equation, we can find 'a':

5 = a·5

1 = a . . . . . . . divide by 5

Written in the given form, the equation is ...

y = 1 · 5^x

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Answer:

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Step-by-step explanation:

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3 years ago

1. 2x+5(6x-9)=179<br>2. -40=6x-5(-4x-18)<br>solve for X

pav-90 [236]

Answer:

1. x = 7

2. x = -5

Step-by-step explanation:

1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 2*x+5*(6*x-9)-(179)=0

Pull out like factors 6x - 9 = 3 • (2x - 3)

(2x + 15 • (2x - 3)) - 179 = 0

Pull out like factors: 32x - 224 = 32 • (x - 7)

Solve: x-7 = 0

Add 7 to both sides of the equation = 7

2. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -40-(6*x-5*(-4*x-18))=0

Pull out like factors: -4x - 18 = -2 • (2x + 9)

-40 - (6x - -10 • (2x + 9)) = 0

Pull out like factors: -26x - 130 = -26 • (x + 5)

-26 • (x + 5) = 0

Solve: x+5 = 0

Subtract 5 from both sides of the equation: x = -5

Hope this helps! Please mark as brainliest.

Thanks!

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3 years ago

Write the equation in the form y = a • b^x given the table below.​

Write the equation in the form y = a • b^x given the table below.