Answer:
12 hours
Step-by-step explanation:
Let the number of hours be represented as h.
Sarah's surfboards charges a fee of $60 to rent a surfboard and then $10.50 per hour.
Mathematically ,
60 + 10.50h
Sally's surfboards does not charge a fee, but they cost $15.50 per hour
Mathematically,
15.50h
Equating both equations together
60 + 10.50h = 15.50 h
Collect like terms
60 = 15.50h - 10.50h
60 = 5h
h = 60/5
h = 12 hours
Therefore, the number of hours that the cost will be the same to rent a surfboard for each shop is 12 hours.
Associative property of addition
Neagative six plus r is less than or equal to negative three point five
Answer:
-10
-5
5
Step-by-step explanation:
From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250
The Remainder Theorem is going to take a bit to solve.
You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.
The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.
However just to get the roots, the graph shows that
x = -10
x = - 5
x = 5
The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give
f((10) = 10^3 + 10*10^2 - 25*10 - 250
f(10) = 1000 + 1000 - 250 - 250
f(10) = 2000 - 500
f(10) = 1500 which is not 0.
==================
f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250
f(1) = 1 + 10 - 25 - 250
f(1) = -264 which again is not zero
Answer: Choice A
Proof:
Replace x with 1 and y with 2. This is because (x,y) = (1,2) so x = 1 and y = 2.
Doing both replacements and simplifying leads to...
2*x - y = 0
2*1 - 2 = 0
2 - 2 = 0
0 = 0
That confirms (x,y) = (1,2) is a point on the line.
It confirms (1,2) is a solution to the equation.