Answer:
A. Right angle -- if you multiply the slopes of 2 intersecting lines and you "-1" then the lines are perpendicular - in this case the line in quadrant 3 has a slope of "1" and the line in quadrant 4 has a slope of "-1", hence their product is "-1" and the angles formed at the intersection of the lines are right angles.
Step-by-step explanation:
Producing 73.8 units gives the lowest possible average cost.
The average cost (AC) is the ratio of the total cost to the number of units produced. It is given by:
AC = C(x) / x
AC = (0.2x³ – 24x² + 1514x +30064) / x
AC = 0.2x² - 24x + 1514 + 30064/x
The lowest possible average cost is at AC' = 0. Hence differentiating the average cost, gives:
AC' = 0.4x - 24 - 30064/x²
0.4x - 24 - 30064/x² = 0
0.4x³ - 24x² - 30064 = 0
Solving the cubic polynomial gives:
x = 73.8 units
Therefore the lowest possible average cost is when 73.8 units are produced.
Find out more at: brainly.com/question/20346871
4x + 5y = -13
2(4x + 5y) = 2(-13)
8x + 10y = -26 (equation 1)
5x - 2y = -8
5(5x - 2y) = 5(-8)
25x - 10y = -40 (equation 2)
equation 1 + equation 2,
(8x + 10y) + (25x - 10y) = (-26) + (-40)
8x + 10y + 25x - 10y = -26 + -40
33x = -66
x = -2
substitute x = -2 into equation 1,
8x + 10y = -26
8(-2) + 10y = -26
-16 + 10y = -26
10y = -10
y = -1
The values of x and y are -2 and -1 respectively.
Answer:
<h3>
Let's start with the total money needed for basketballs</h3>
The total money the coach will need for 40 basketballs will be 40 times price of one basketball.
Thus we need to find the price of one basketball.
$27 for 3 basketballs
Thus for one basketball, 
Which gives us,
'9'.
So for 40 basketballs 40 * $9
Which gives us $360.
<h3>
Now let's find the total money needed for sneakers.</h3><h3>
</h3>
The total money needed for sneakers is 7 times the cost of one sneaker.
So, we need to find the cost of 1 sneaker
which is 
which gives us,
$18.
Thus total amount of money needed for sneakers is 9 * $18 which gives us
$162
So total amount the coach has to pay is $360+$162 <em>(total cost of basketballs + total cost of sneakers)</em>
=$552
Therefore, total amount the coach has to pay is $552
Answer:
100ft^2
Step-by-step explanation:
4*5^2
