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aliya0001 [1]
3 years ago
12

A new parking lot is being built for a medical office. The expression representing the number of parking spots in the new lot is

StartFraction 15 x over 4 EndFraction minus 9, where x represents the number of parking spots in the first row. How many spots are in the parking lot if there are 32 parking spots in the first row?
Mathematics
2 answers:
Alenkasestr [34]3 years ago
8 0

Answer:

The answer is 69 on Edgenui

docker41 [41]3 years ago
5 0

Answer:

111 spots

Step-by-step explanation:

Let y denote the total number of parking spots expressed as:

y=\frac{15x}{4}-9\\\\

Given that x is the number of spots in the first row.

-Now, given that the first row has 32 spots, we substitute in the expression to solve for y:

y=\frac{15x}{4}-9,\ \ x=32\\\\=\frac{15\times 32}{4}-9\\\\=120-9\\\\=111

Hence, there are 111 spots in the parking lot.

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If g(x)= x^2-2x-6 and h(x)= 2x^2-5x+2 find (h-g) (-2)
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Answer:

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Step-by-step explanation:

g(x) = x² - 2x - 6

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To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

<h3>(h - g)(x) =  {2x}^{2}  - 5x + 2 - ( {x}^{2}  - 2x - 6)  \\  =  {2x}^{2}  - 5x + 2 -  {x}^{2}  + 2x + 6 \\  =  {2x}^{2}  -  {x}^{2}  - 5x + 2x + 2 + 6</h3><h3>(h - g)(x) =  {x}^{2}  - 3x + 8</h3>

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

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<h3>(h - g)( - 2) =  ({ - 2})^{2}  - 3( - 2) + 8 \\  = 4 + 6 + 8 \\  = 10 + 8</h3>

We have the final answer as

<h3>(h - g)( - 2) = 18</h3>

Hope this helps you

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Answer:

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