Answer:
Part A: yes it is a function because every input value (x) produces only one output value (y).
Note: It is still a function if different x values produce the same y value, in this case, x=1 and x=-1 produce the same y value 1, but it is NOT a function if y=1 and y=-1 have the same x value x=1.
Part B: when x=30: f(30)=17*30+50=560
if means that the cost of renting the truck for 30 hours is 560 dollars.
this help?
Answer:
I'm pretty sure it's 0.257!
Step-by-step explanation:
Sorry if I got it wrong I'm trying my best hope you have a great day!!
Answer:
y<= 3x-1
Step-by-step explanation:
When it comes about inequalities, keep in mind the following
the < sign means that the regions is under whatever is to other side, and the > means that the region is above whatever is on the other side of the sign
So, we see for the graphic that there is a region below a line, this suggests us that there is a < sign implied
The other thing is that there is a convention in math, is the line is graphed using a dashed line, it meas that it is not part of the region, if the line is graphed using a solid line (a continued line) then the line is inside the region, hence there is a = sign implied.
So the answer is y<= 3x-1
Answer: i) 1 - 9x² - 12x
ii) 17 - 3x²
iii) - 20 + 10x² - x⁴
<u>Step-by-step explanation:</u>
g(x) = 3x + 2 h(x) = 5 - x²
i) h(g(x))
h(3x + 2) = 5 - (3x + 2)²
= 5 - (9x² + 12x + 4)
= 5 - 9x² - 12x - 4
= 1 - 9x² - 12x
ii) g(h(x))
g(5 - x²) = 3(5 - x²) + 2
= 15 - 3x² + 2
= 17 - 3x²
iii) h(h(x))
h(5 - x²) = 5 - (5 - x²)²
= 5 - (25 - 10x² + x⁴)
= 5 - 25 + 10x² - x⁴
= -20 + 10x² - x⁴
Answer:
$25.00
Step-by-step explanation:
You already know that $85 is an additional fee added to the monthly fees.
So, you first have to subtract 85 from $685 to get the total amount of monthly fees paid over 2 years.
685-85= 600
So, you can conclude that $600 is the total amount of monthly fees paid.
Now, you want to divide 600 by (the number of months in 2 years) to get the amount of monthly fees.
Since there is 24 months in 2 years you do:
600/ 24 which equals 25.
In conclusion, you can find that the monthly fee is $25.00.