31x^2 + 53x - 8
Use the FOIL method to find the area of the large rectangle. (7x - 2)(9 + 5x)
First term in each binomial: 7x * 9 = 63x
Outside terms: 7x * 5x = 35x^2
Inside terms: -2 * 9 = -18
Last term in each binomial: -2 * 5x = -10x
Now, just add them all up.
63x + 35x^2 - 8 - 10x
35x^2 + 53x - 8
Now find the area of the square.
2x * 2x = 4x^2
Now, subtract the areas.
31x^2 + 53x - 8
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Answer:
The linear cost function is
dollar.
Step-by-step explanation:
Given : A parking garage charges 4 dollars plus 65 cents per half-hour. A linear cost function for the situation is C(x)=L.
To find : Write a linear cost function for the situation ?
Solution :
Cost function is defined as sum of marginal cost and fixed cost.
Let x be the number of hours i.e. time for which parking cost.
A parking garage charges 4 dollars plus 65 cents per half-hour.
The fixed price is $4.
Marginal cost is 65 cents per half-hour.
Converting cents into dollar,
1 cent = 0.01 dollar
65 cent = 0.65 dollar
The cost of
hour = $0.65
The cost of x hours = 
So, marginal cost is $1.3x.
Cost function is defined as


dollar.
Therefore, The linear cost function is
dollar where x is the number of hours.