For the given set of equations, the values of x = -8 and x = -2.
We have, f(x) = x² + 7x- 24 and g(x) = -3x - 40
An Equation is an algebraic statement that shows that two quantities are equal.
For one x-value of a solution,
We equate both the given functions,
Thus, f(x) = g(x)
x² + 7x- 24 = -3x - 40
+7x + 3x -24 + 40 = 0
+10x + 16 =0
+ 8x + 2x +16 =0
x(x+8) + 2(x +8) =0
(x+8) (x+2) = 0
x = -8 and x = -2
Hence, Concluding, we have x = -8 and x = -2
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Amy needs three-quarters of a gallon of sparkling water.
Answer:
$264.78
Step-by-step explanation:
The government pays the interest on Briana's loan while she is in school. Her monthly payments will be for a loan of $26,000. The amount of the payment can be found from the amortization formula, or using a calculator or spreadsheet.
<h3>Payment amount</h3>
For a loan of principal amount P at annual rate r for t years, the monthly payment is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) = $26000(0.04125/12)/(1 -(1 +0.04125/12)^(-120)) = $264.78
Briana's monthly payment after she graduates is $264.78.
Its A 0.125 because 0.125×8=1.000 or 1 full