Answer:
y = 25x, proportional relationship
Step-by-step explanation:
Let "x" = number of hours read (replace with "h" if that's the variable your teacher wants)
Let "y" = number of pages read (you can use any other variables if you want)
Let's first calculate the slope using 
with any two points, I'm going to use (2, 50) and (3, 75):
Our slope is m = 25.
Now we can use the point-slope form 
with our slope and any point (I'll use (2, 50)) to figure out the equation:
Simplify:
Since the slope is positive, the relationship is proportional.
Answer:
Step-by-step explanation:
The given H(x) = √(2 - 2x^2) can be decomposed as follows: 2 - 2x^2 is g(x), the input to f(x), which in turn is f(x) = √x.
Thus, f(x) = √x is the first function. Here the input is simply x.
g(x) = 2 - 2x^2 is the second function. We use this function now as the input to f(x). These operations create the new function H(x) = (f°g)(x) = √(2 - 2x^2).
In summary:
f(x) = √x
g(x) = 2 - 2x^2
S+m+l=28
4s+2m+l=58
6s+5m+4l=135
Eliminate the variable l from the first 2 equations
s+m+l=28
-4s-2m-l=-58
-3s-m=-30
Elminiate the variable l from the last 2 equations
6s+5m+4l=135
-16s-8m-4l=-232
-10s-3m=-97
Now solve for s and m using the 2 equations without l
-3s-m=-30
-10s-3m=-97
9s+3m=90
-10s-3m=-97
-s=-7
s=7
Then plug in s into one of the equations without l
-3(7)-m=-30
-21-m=-30
-m=-9
m=9
Now plus in s and m into one of the original 3 equations
(7)+(9)+l=28
16+l=28
l=12
Final answer:
Small=$7
Medium=$9
Large=$12
I know it only asks for large but I wanted to show you how to find them all for future reference. :)
Answer:
Step-by-step explanation:
We need to find an algebraic expression for the given statement i.e. "the quotient of negative eight and the sum of a number and three".
Let the number be x. Quotient means to divide. It means we need to divide -8 and the sum of x and 3.
So, we can write it as follows :
Hence, this is the required solution.
A.) The temperature rises 10 degrees over 3 hours.
(To explain my reasoning is because at 0 hours the temperature was 30 then at 3 hours the temperature moved up to 40 and at 6 the temperature moved to 50 which means every 3 hours its moving up 10 degrees)
