Perimeter: P = 2L + 2W. In this problem L = W + 4 or W = L - 4. We want L, so let's eliminate W:
P = 2L + 2(L - 4) = 20 (all measurements in feet)
Simplifying,
2L + 2L - 8 = 20, or 4L = 28 ft. Thus, L = 7 ft.
The rectangle is 7 ft long.
A taxi ride where the total fare is $3, $2 for every mile travelled plus a $1 tip and the original cost of $20.
First write a formula that expresses the cost of the ride:
Total cost= Flat fee + Mileage + Tip
Now let's drop in what we know:
20= 3+2 (miles) +1 - we know the total cost is 20, the fee of 3, the tip of 1 and the cost per mile of 2. The only thing we don't know is the number of miles. So let's solve for that.
Subtract 3 and 1 from both sides to get:
16=2(miles)
Divide both sides by 2:
8=miles
Therefore, you traveled 8 miles.
The answer for f.f (x) = 25 / 4x² and g.g(x)= 4x² -28x +49.
<h3>What is a Function ?</h3>
A function is a mathematical statement used to relate a dependent and an independent variable.
It is given that
f(x) = 5/2x
g(x) = 2x - 7
It is asked to found
f.f
g.g
f.f (x) = (5/2x) * (5/2x)
= 25 / 4x²
g.g(x)= ( 2x - 7)( 2x - 7)
= 4x² -28x +49
Both the answers are in its simplified form
Therefore the answer for f.f (x) = 25 / 4x² and g.g(x)= 4x² -28x +49.
To know more about Function
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You just write the sum of the numbers as their Greatest Common Factor