Answer:
A. x²/y³
Step-by-step explanation:
Given the following data;
Length = x³y⁴
Width = 
Ratio = length/width
Simplifying the equation by applying the law of indices (division), we have;
Hence, rearranging the above values;
<em>Therefore, the expression that represents the ratio of the length of the rectangle to the width of the rectangle is A. x²/y³. </em>
All you have to do is substitute the values of x.
h(0) = |-3(0) + 5|
h(0) = |5|
h(0) = 5
The answer for h(0) is 5.
h(5) = |-3(5) +5|
h(5) = |-15 + 5|
h(5) = |-10|
h(5) = 10
The answer to h(5) is 10.
I hope this helps!
Answer:
Length = 4 feet
Width = 4 feet
Step-by-step explanation:
The perimeter of a rectangle formula = 2L + 2W
Where L = Length
W = Width
The length of a rectangle is 8feet less than the width.
Hence,
L = 8 - W
The perimeter is 64 feet.
Hence,
64 = 2(8 - W) × 2W
64 =( 16 - 2W )2W
64 = -4W² + 32W
4W² - 32W + 64 = 0
Factorise
4W² - 16W - 16W + 64 = 0
4W (W - 4) - 16(W - 4) = 0
W - 4 = 0
W = 4
Width = 4
Solving for L
L = 8 - W
L = 8 - 4
L = 4
Therefore,
Length = 4 feet
Width = 4 feet
Answer
(a) 0.94
(b)0.06
Step-by-step explanation:
P(husband is employed) = P(H) = 0.85
P(wife is employed) = P(W) = 0.59
P(both are employed) = P(H∩W) = 0.50
(a) At least one of them is employed
= P(H∪W)
= P(H) + P(W) - P(H∩W)
=0.85 + 0.59 - 0.50
=0.94
(b) Neither is employed,
=1 - P(H∪W)
= 1-0.94
=0.06
