Divide as usual
Position the decimal point in the result directly above the decimal point in the dividend.
Check your answer: Use the calculator and multiply the quotient by the divisor.
Answer: slope = -60 , y - intercept = 400
Step-by-step explanation:
Given :
y = 400 - 60x
comparing with the equation of the line in slope - intercept form
y = mx + c , where m is the slope and c is the y - intercept
then ;
slope = -60
y - intercept = 400
(ii) The interpretation of the slope and the intercept.
Recall that speed = distance / time , that is
distance = speed x time.
it was given that the car is travelling 60 miles per hour , and the equation is used to model the distance from destination after x hours.
And you are 400 miles away from your destinations, this means that after x hours , you have traveled 60x miles , to know how far you are to your destination , the distance covered after x hours will be subtracted from how far you are away from your destination , that is
400 - 60 x.
The means that the y in the equation represent how far you will be to your destination after x hours.
Answer:
1. x=0
2. x>0
3. X-intercept: (0.5,0) Y-intercept: undefined
4. Compressed horizontally by a factor of 0.25 and shifted 1 unit down.
Step-by-step explanation:
1. The given parent function is 
The transformed function is 
The vertical asymptote is x=0.
We find this by equating the argument to zero. 4x=0----->x=0
2. The domain is all values of x that make the function defined.
The domain is 
3. To find x-intercept we substitute g(x)=y=0 and solve for x.
x=0.5
The x-intercept is (0.5,0)
The y-intercept is undefined because we have to substitute x=0, which is not in the domain of g(x).
4. We can rewrite the transformed function in terms of f(x) as
This means there is a horizontal compression by 
and shift 1 unit down of the parent function.
Answer:
n = 2.2857
Step-by-step explanation:
combine like terms
7n = 16
/7 /7
n = 2.2857
