Answer: y=12
Step-by-step explanation:
the y-intercept of the graph when : x=0
f(0) =4(0)+12 = 12
Answer:
The charges paid for the first four days are:
Step-by-step explanation:
To obtain the charges paid for the first 4 days, you must use the given explicit rule given:
Where:
- <em>n = Number of days the person rents the car.</em>
As we need to obtain the charges to 4 days, we replace this value in the explicit rule:
- f (n) = 28n + 32
- f (4) = 28(4) + 32
- f (4) = 112 + 32
- <u>f (4) = 144</u>
With these calculations, <u>you can identify the charges paid for the first 4 days are $144</u>, <em>where $112 is the money by each day of the four days and $32 is the base fee</em>.
1/2 - 1/4x ≥ -1/4
Combine 1/4x to get x/4:
1/2 - x/4 ≥ -1/4
Subtract 1/2 from both sides:
-x/4 ≥ -1/4 - 1/2
Simplify:
-x/4 ≥ -3/4
Multiply both sides by 4:
-x ≥ -3/4 * 4
-x ≥ -3
Multiply each side by -1 ( and since you are multiplying by -1, you also need to reverse the inequality sign)
Answer: x ≤ 3
Answer:
The correct answer is 2 inches.
Step-by-step explanation:
Let l inches and w inches be the length and width of a rectangle respectively.
According to the given problem, l - 8 = 
.
Area of the rectangle is given to be, according to the question, 18 square inches.
Thus l × w = 18
⇒ l × (2l - 16) = 18
⇒ 2 
- 16l - 18 = 0
⇒ - 8l - 9 = 0
⇒ ( l - 9) ( l + 1) = 0
The possible values of l are 9 and -1. As the length cannot be equal to -1, thus the value of the length is 9 inches.
Width of the rectangle is 2 inches.
