Answer:
$68.57
Step-by-step explanation:
Step-by-step explanation:
√121 - √-192 - √4 + √-48
= 11 - 192i - 2 + 48i
= 9 - 144i
= 9(1 - 16i).
Answer:
1. The domain for the number of fruit cups is 0 minimum and 20 maximum.
[0 < x < 20].
2. [10 < y < 70]
Step-by-step explanation:
1. The domain is 0 to 20 because there are 20 people total who will each have a fruit cup
2. The range is $10 to $70 because the minimum price is $10 without any fruit cups and $70 when there are 20 fruit cups.
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
Answer:
r = 2
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
(-1, -5)
(r, -9)
-5 - (-9) / -1 - r = 2
4 / -1 - r = 2
r = -2
-1 - (-3) = 2
4 / 2 = 2
Please let me know if I've gotten anything wrong!