Y=mx+b
lines are parallels so m=2
y=2x+b
line passing through the point (4,2), so x=4 y=2
put these value in equation
2=2*4+b
2=8+b
b=2-8
b=-6
y=2x-6
Answer: y=2x-6
(verification on the picture)
To solve the problem, let x be the number of monthly quota of problems. Below is the list of the problems solved each week,
1st week - 0.25x
2nd week - 1.10(0.25x)
3rd week - 0.6(0.25x + 1.10(0.25x))
4th week - 320
To solve for the monthly quota, equate the sum of all the problems solved to x and determine its value. Thus, the students solved 2000 problems all in all.
Answer:
The expression is equal to
Step-by-step explanation:
Let
x ----> the number of hours that the roller blades are rented
y ----> the cost of renting roller blades in dollars
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
In this problem we have
The slope is equal to
The y-intercept is equal to
----> value of y when the value of x is equal to zero
substitute
For x=h hours
substitute
Answer:
-2
Step-by-step explanation:
First evaluate inside parentheses
(-1)^4 -9/3
Then do the exponentiation
1 -9/3
Now the division
1 -3
Finally, the sum
-2