Graph this function: y - 7 = -5(x + 5)
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Answer:
Step-by-step explanation:
Width of the sign made by Darius initially = 2 feet
Length of the sign = 2 feet 6 inches
Dimension of the flyer are 10 inches by 8 inches. Since, in original sign the measure of length is greater, therefore, the length of flyer is 10 inches and its width is 8 inches.
In order to find the scale factor we must convert the lengths and widths to same units. Lets convert the length and width of sign into inches.
Since, 1 feet = 12 inches
Length of the sign = 2 feet 6 inches = 2(12) + 6 inches = 30 inches
Width of the sign = 2 feet = 2(12) inches = 24 inches
Now we can find the scale factor by either comparing the lengths or widths of both the designs. Scale factor will be equal to the ratio of corresponding lengths/widths.
So, the scale factor would be:
Length of Flyer : Length of Sign
= 10 inches : 30 inches
= 1 : 3
=
This shows, the length of flyer is times as that of the sign. So, the scale factor that Darius must use is
. The length and width of the flyer are
as that of the sign.
The same scale factor would result if we would have used the ratio of widths instead of the lengths.
Scale Factor = Width of Flyer : Width of sign
= 8 : 24
= 1 : 3
Therefore, Darius must type the scale factor of in his computer to get the size of the flyer.
The inverse of this function would be f(x) = .
You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.
f(x) = - 6 ----> Switch f(x) and x
x = - 6 ----> Add 6 to both sides
x + 6 = -----> Take the logarithm of both sides in order to get the f(x) out of the exponent
Log(x + 6) = f(x)Log2 ----> Now divide both sides by Log2
= f(x) ----> And switch the order for formatting purposes.
f(x) =
And that would be your new inverse function.