Answer:
Step-by-step explanation:
x+y = 175
y = 175 - x
f(x) = (x+3)(y+4)
= x(175-x) + 3(175-x) + 4x + 12
= 175x - x² + 525 - 3x + 4x + 12
= -x² +176x + 537
f'(x) = -2x + 176
maximum when x = 88
y = 175-x = 87
Answer:
(10; -1)
the x-coordinate of the other endpoint is (x;y)
because the segment has midpoint at (3;0)
=> x - 4 = 3.2 = 6
y + 1 = 0.2 = 0
<=> x = 10
y = -1
=> the other endpoint is (10; -1)
<span>a = Lw
---
1/2 = (2/3)w
w = (1/2)(3/2)
---
w = 3/4 yard</span>
-2 + Y = 8
Y = 10
Plug in Y to the first equation, 10 + 4 = X
X = 14
Answer:
a) How many minutes does it take to make one balloon sculpture?
= 4 minutes
b) How many balloons are used in one sculpture?
= 6 balloons
Step-by-step explanation:
In 88 minutes, he uses 132 balloons to make 22 identical balloon sculptures.
a) How many minutes does it take to make one balloon sculpture?
22 identical balloon sculptures = 88 minutes
1 balloon sculpture = x
x = 88 minutes/22
x = 4 minutes
b) How many balloons are used in one sculpture?
22 balloon sculptures = 132 balloons
1 balloon sculpture = x
Cross Multiply =
22x = 132 balloons
x = 132 balloons/22
x = 6 balloons
