Answer:
The x-intercept of the straight line is at (2,0) and the y-intercept is at (0,2).
Join those two points with a straight line and get the graph.
Step-by-step explanation:
The intercept form of a straight line equation is
, where the x-intercept of the line is at (a,0) and the y-intercept will be at (0,b).
So, we have to arrange the equation of a straight line in the intercept form and then we can easily find the x-intercept and y-intercept of the line.
Given equation is x + y = 2
⇒
Therefore, the x-intercept of the straight line is at (2,0) and the y-intercept is at (0,2).
Now, locate the two points as obtained on the graph and join them with a straight line and you will get the graph of the line. (Answer)
It takes the robot 1.4 hours (or 1 hour and 24 minutes) to complete one task
the robot can complete 0.714 tasks per hour
Answer:
f+g(2)=10
f-g(4)=-4
F/G(2)= 7/3
(f)(g)(1)=0
Step-by-step explanation:
1. (f+g)=2x+3+x^2-1 2(2)+2=10
2. (f-g)=(2x+3)-(x^2-1)=-x^2+2x+4= -16+8+4=-4
3. f/g= 2x+3/x^2-1 4+3/3= 7/3
4. f*g= (2x+3)(x^2-1)= 2x^3+3x^2-2x-3= 2(1)^3-2(1)+3(1)^2-3=0
Answer:
x= 2y - 3/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Non-proportional; the rate of change is $40/hour
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>
Let
x -----> the number of hours
y ----> The total charge in dollars
The equation of the line in slope intercept form is equal to

where
m is the slope
b is the y-intercept
we have

substitute

This relationship is not proportional, because the line not passes through the origin
therefore
Non-proportional; the rate of change is $40/hour