Answer:
y=-1/2x+3/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-1)/(5-1)
m=-2/4
m=-1/2
y-y1=m(x-x1)
y-1=-1/2(x-1)
y=-1/2x+1/2+1
y=-1/2x+1/2+2/2
y=-1/2x+3/2
Answer:

Domain of f(x): All real values.
Range of f(x): All real values.
Domain of f -1(x): All real values.
Range of f -1(x): All real values
Step-by-step explanation:
We are given the following function:

Since it is a line, we have that both the domain is the range is the real set.
Inverse function:
The domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function.
Finding the inverse function:
Exchange x and y in the original function, and isolate y. So
Original

Exchanging:

Isolating y:



Answer:
A. 430 pounds
Step-by-step explanation:
The almonds is 43 times as much as the hours.
43*10=430 pounds
Answer:
It will cost them $8.32 to run their dishwasher for 52 weeks.
Step-by-step explanation:
With the information provided, you can say that the cost to run the dishwasher is equal to the cost per week for the number of weeks, which would be:
Total cost=$0.16*number of weeks
Since you want to determine the cost to run the dishwasher for 52 weeks, you can replace the number of weeks in the formula to get the answer:
Total cost=$0.16*52
Total cost=$8.32
According to this, the answer is that it will cost them $8.32 to run their dishwasher for 52 weeks.

The given equation is a Quadratic equation, so it's graph must be a parabola, and the Coefficient of x² is positive that means the parabola must have an opening upward.
And 2 is added to the ideal equation, so the parabola must have shift 2 units up from x - axis.
From the above information, we can easily conclude that the Correct representation is done in graph 4