Ihave been on this same question for over 45 minutes, and i can't figure it out. . i really really really need . i'll give brainliest. just . , don't answer it if you are just going to say, "sorry don't know the answer" etc.
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what is the equation of the exponential graph shown?

exponential functions fit the template

y = a*b^x

where 'a' and b are fixed values

the value of 'a' is the y intercept. in this case, it is 100 since (0,100) is on the curve. this is the part where the graph crosses the y axis. so a = 100.

the value of b takes a bit of work to find. we'll plug a = 100, x = 1 and y = 50 into the equation shown above. why x = 1 and y = 50 you might ask? well the point (1,50) appears to be on the graph as well.

so plugging those three items into the equation leads to

y = a*b^x

50 = 100*b^1

50 = 100*b

50/100 = 100*b/100 divide both sides by 100

1/2 = b

b = 1/2 

b = 0.5

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step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .