Jane did not show factors of 8, she showed multiples of 8. Factors of 8 would be 1, 2, 4, and 8
Step-by-step explanation:
General equation of circle:
(x - a)² + (y - b)² = r².
Therefore we have x² + (y - 3.5)² = 12.25.
First of all lets find the area of the rectangle.
13 ft × 12 ft = 156 square feet.
Now lets find the price which is $8 / square foot. Using proportions we get:
$8/sq ft × 156 sq ft. Simplifying we get
$8 × 156 = $1248.
The wallpaper will cost $1248
I think that she could buy 3 tubes of paint because that's $25.50 and that gives you 28.50 for the canvas.
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Answer: 
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The -3 is not in the exponent
Explanation:
The parent function is 
. Plugging in x = 0 leads to y = 1. So the point (0,1) is on the f(x) curve. Going from (0,1) to (0,-2) is a vertical shift of 3 units downward. To represent this shift, we tack on a "-3" at the end of the f(x) function.
You could look at other points as well, but I find working with x = 0 is easiest.
As a check, plugging x = 0 into g(x) leads to...
This confirms our answer.
