Answer:

Step-by-step explanation:
We have the equation:

Since their bases are the same, the exponents must be equivalent. So:

Solve for r, subtract 2r from both sides:

Divide both sides by -5:

So, the value of r is -3/5.
And we're done!
Answer:
X- 12 months, Y- 450 in total
Step-by-step explanation:
unsure what you would want for the answer to be but,
if plan a were to charge you for a year 20 x 12 would be 240 dollars a year + 10 would be 250 the total cost.
plan b, same thing 15 x 12 is 180 + 20 which would be 200 the total cost.
if you wanted both months added together, it would be 420 since x was 12.
and both sign up fees would be 30 dollars, if they needed a sign up fee for each month as well, it would be 360 per.
the total cost for all of plan a and b together would be 450 because you added the 30 dollar fee to the total of each plan.
P.S.- sorry if its long
Answer:
Yes it is a right triangle.
Step-by-step explanation:
Because the Pythagorean Theorem states that 

Answer:
41 cents
Step-by-step explanation:
because their are 36 inches in 1 yard i divided 14.76 by 36 to get the amount she payed per inch.
Answer:
10x^3+14x^2-25x-35
Step-by-step explanation:
f(x) = 2x^2 -5
g(x)= 5x+7
f(g(x)) = (2x^2 -5)(5x+7)
5x(2x^2 -5)+7(2x^2 -5)
10x^3-25x+14x^2-35
10x^3+14x^2-25x-35