A cyclist rode the first 30-mile portion of his workout at a constant speed. For the 24-mile cooldown portion of his workout, he
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Answer:
x = - 4 ± 2
Step-by-step explanation:
Given
f(x) = x² + 8x + 4
To find the zeros let f(x) = 0, that is
x² + 8x + 4 = 0 ( subtract 4 from both sides )
x² + 8x = - 4
To solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(4)x + 16 = - 4 + 16
(x + 4)² = 12 ( take the square root of both sides )
x + 4 = ± = ± 2
( subtract 4 from both sides )
x = - 4 ± 2
Thus the zeros are
x = - 4 - 2 and x = - 4 + 2
Answer:
1%
Step-by-step explanation:
We use the simple interest equation of A=P(1+rt).
A-the total amount with interest earned
P-the initial amount or principal
r-rate
t-time in years
We substitute the values P=6900, A=6923, and t=0.33 since 4 months divided by 12 months is 0.333 years. We then solve for r.
Our final step is to divide both sides by 0.33.
This is the decimal of the rate. We convert to a percentage by multiplying by 100. 0.01(100)=1%.