Once sales tax is included, an $89 canoe ends up costing $97.90. What is the sales tax percentage?
2 answers:
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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
The generic equation of the line is:
Where,
m: slope of the line
(T0, H0): ordered pair belonging to the line.
The slope of the line is:
Substituting values we have:
Rewriting:
Then, choosing an ordered pair we have:
Substituting values we have:
Rewriting the equation:
Then, for 8 hours we have:
Answer:
a linear equation to model the relationship between height H of the candle, and T time is:
the candle will be 12 inches after burning 8 hours
Answer: Our required values would be -10x+5, 2x+5 and -25.
Step-by-step explanation:
Since we have given that
g(x) = -4x+5
and
h(x) = 6x
We need to find (g-h)(x) and (g+h)(x).
So, (g-h)(x) is given by
and (g+h)(x) is given by
and (g-h)(3) is given by
Hence, our required values would be -10x+5, 2x+5 and -25.