Answer:
See below for answers and explanations
Step-by-step explanation:
Top left: Since y can't be greater than 0 but is equal to 0, then the range is (-∞,0] and the domain is (-∞,∞) since there are no domain restrictions
Top right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)
Bottom left: Since y cannot be less than 2 but equal to it, and x holds no domain restrictions, then the domain is (-∞,∞) and the range is [2,∞)
Bottom right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)
Length of the rectangular patio = 12 1/2 feet
= 25/2 feet
Area of the rectangular patio = 103 1/8 square feet
= 825/8 square feet
Let us assume the width of the rectangular patio = x feet
Then
Area of the rectangular patio = Length * Width
825/8 = (25/2) * x
25x/2 = 825/8
25x = (825 * 2)/8 feet
25x = 825/4 feet
x = 825/(4 * 25) feet
= 33/4 feet
= 8 1/4 feet
So the width of the rectangular patio is 8 1/4 feet. I hope the procedure is clear enough for you to understand.
Answers
1) 4
2) 0, 2, -10
3) 0, 5, -2
Step-by-step explanation:
1) x³ - 64 = 0
x³ = 64
x = 4
2) x³(x² + 8x - 20) = 0
x³(x² + 10x - 2x - 20) = 0
x³(x(x + 10) - 2(x + 10)) = 0
x³(x + 10)(x - 2) = 0
x = 0, 2, -10
3) x³ - 3x² - 10x = 0
x(x² - 3x - 10) = 0
x(x² - 5x + 2x - 10) = 0
x(x(x - 5) + 2(x - 5)) = 0
x(x - 5)(x + 2) = 0
x = 0, 5, -2
This is a plain and simple answer. No distributive property here!
68 ÷ 4 = 17
Since we need to determine how long it takes for the watt hours to consume 4320 watt hours, we would need to divide.
We would simply divide.
4320/950= 4.5
The 4.5 represents how long it would take for the light bulb to consume 4320 watt hours.
Therefore, the answer would be 4.5 days.
<u>Answer</u>
4.5 days
<u>Recap</u>
1. We read the problem and determined that in order to solve the problem we would need to divide.
2. We then divided 4320/960= 4.5
3. We came to the conclusion that 4.5 days would be the answer.
