Answer:
x = 6, y = -6
Step-by-step explanation:
-4x - 2y = -12
4x + 8y = -24 +
-----------------------
6y = -36
y = -36/6
y = -6
4x + 8y = -24
4x + 8*(-6) = -24
4x = -24 + 48
4x = 24
x = 6
Answer:
V = 23.85 ft³
Step-by-step explanation:
The dimension of the square base = x ft by x ft
Height of box = y
Volume of the box, 
Cost of top = $4 * 
Cost of the bottom = $9 *
Cost of the sides = $3 * 4xy
Total cost = 4x² + 9x² + 12xy
Total cost = 13x² + 12xy
Total cost = $193
193 = 13x² + 12xy
But volume, V = x²y
V = 
V = 
...................(1)
At maximum value, V' = 0
0 = 
x = 2.23
Put the value of x into (1)
V = 23.85 ft³
Answer:
50.29 yards^2
113.14 yards^2
62.85 yards^2
Step-by-step explanation:
Area of a circle = πr²
π = pi = 22/7
r = radius
original area
(22/7) x 4² = 50.29 yards²
New area
radius = 4 + 2 = 6
(22/7) x 6² = 113.14 yards²
Increase in the area of the patio = 113.14 yards² - 50.29 yards²=62.85
Answer:
in a region with a letter
Step-by-step explanation:
For a certainty, then probability is 1.
That means sum of probability of all events in the sample space.
This means P(A)+P(B)+P(C)+P(D)=1
This is equivalent to:
P(A or B or C or D)=1
Hence for certainty, the region must be:
A or B or C or D
So the correct answer is in a region with a letter.
