Equations from Word Problems
1 answer:
Answer:
Step-by-step explanation:
First, we know that for every hour for labor he charges $25
So, let x = # of hours
Thus, 25x
Second, he charges $50 for a house call. This does not depend on the # of hours, and serves as our "Starting Pay"
So, we combine and get F(x)=25x+50, where F(x) is the amount he charges
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Answer:
Step-by-step explanation:
If we open the surface of the pole and lay it flat, we will get a rectangle with the red stripe as a diagonal.
l = 260 cm.
The width of the rectangle is enough for two revolutions (i.e., twice the circumference).
w = 2C = 2 × 2πr = 4π × 14/2 = 28π cm = 87.96 cm
Length of stripe
The stripe is the diagonal of the rectangle.
d² = 260² + (28π)² = 67 600 + 87.96² = 67 600 + 7738 = 75 338
d = √(75 338) = 274.5 cm
Angle with horizontal
tanθ = 260/(28π) = 260/87.96 =2.956
θ = arctan2.956
θ = 71.3°
The stripe is long and the angle with the horizontal is
.
Answer:
x = 3 and 7
There are two true solutions.
Step-by-step explanation:
To solve , use inverse operations by squaring both sides of the equal sign.
The quadratic expression can be factored into binomials and set equal to 0 by the zero product property to find x.
(x - 3) ( x - 7) = 0
x-3 = 0 so x=3
x-7 = 0 so x=7
Now check each solution into the original equation to be sure it solve the solution and is not extraneous.
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