Answer:
Part 1) The equation in slope intercept form is 
Step-by-step explanation:
Part 1) Write an equation in slope-intercept form for a line that passes through (3,4) (and has a y intercept of -8)
we know that
The equation of a line in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have


substitute

solve for m



therefore

Answer:

Step-by-step explanation:
k = 3pw
Step 1: switch sides.
3pw = k
Step 2: Since you want w alone, and w is being multiplied by 3p, divide both sides by 3p.

Answer:
use logarithms
Step-by-step explanation:
Taking the logarithm of an expression with a variable in the exponent makes the exponent become a coefficient of the logarithm of the base.
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You will note that this approach works well enough for ...
a^(x+3) = b^(x-6) . . . . . . . . . . . variables in the exponents
(x+3)log(a) = (x-6)log(b) . . . . . a linear equation after taking logs
but doesn't do anything to help you solve ...
x +3 = b^(x -6)
There is no algebraic way to solve equations that are a mix of polynomial and exponential functions.
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Some functions have been defined to help in certain situations. For example, the "product log" function (or its inverse) can be used to solve a certain class of equations with variables in the exponent. However, these functions and their use are not normally studied in algebra courses.
In any event, I find a graphing calculator to be an extremely useful tool for solving exponential equations.
Y=9.25 because 5x0.3=1.5 you move constents to the right hand side and it becomes -1.5 then you do the rest and the answers is 9.25