The maximum number of parking spaces that will fit in the lot given the area of the parking lot is 30.
<h3>what is the maximum number of parking spaces that will fit in the lot? </h3>
The parking lot has the shape of a rectangle. The area of a rectangle is length x width
The area of the available parking space = length of the lot - [width of the lot - (width of the alley x 2)
80 x (77 - 10 - 10) = 4560 ft²
Maximum number of parking spaces = 4560 / (19 x 8) = 30
Please find attached the complete question. To learn more about how to calculate the area of a rectangle, please check: brainly.com/question/16595449
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Amount would be: 4500 * 9%
= 4500 * 0.09 [ 9% = 0.09 ]
= 405
In short, Your Answer would be: $405
Hope this helps!
Determine the number of solutions using the discriminant D=b^2-4ac
D=m^2-4•3•(-3)
Calculate the product D=m^2+36
Since D > 0 for any value of m
The quadratic equation has 2 real roots.
I'm not 100% on this, but my answer is -4x^2 + 8x - 2. Please let me know if this is correct. If so, give me a high five and a pat on the head.
Answer:
graph is attached below.
Step-by-step explanation:
Given : equation 3x ≤ 2y - 7
We have to plot the graph for the given inequality.
Consider the given inequality 3x ≤ 2y - 7
To plot the graph we first convert inequality to equality.
then equation becomes, 3x = 2y - 7
We find the points to plot this line,
at x = 1
⇒ 3(1) = 2y - 7
⇒ 3 = 2y - 7
⇒2y = 10
⇒ y = 5
at x = 3
⇒ 3(3) = 2y - 7
⇒ 9 = 2y - 7
⇒2y = 16
⇒ y = 8
at x = 5
⇒ 3(5) = 2y - 7
⇒ 15 = 2y - 7
⇒2y = 22
⇒ y = 11
Thus, points are (1 , 5) , (3,8) and (5 , 11)
Now we plot these points and obtained the graph of line 3x = 2y -7
For region to be shaded take a test point and check whether it satisfy the given given inequality or not.
Let point be (-3, 0)
Substitute x= -3 and y = 0, we get
3(-3) ≤ 2(0) - 7
⇒ -9 ≤ - 7 (true)
Graph plot is as shown below.
