Answer:
The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.
Step-by-step explanation:
Recall the four very important rules regarding translations (shifts) of the graph of functions:
1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.
2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.
3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.
4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.
We notice that in our case, The original function 
has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).
For any polynomial, first check to see if it factors. Then you can set each factor equal to zero.
The three zeros are -1,1,3
Next plug in values in each interval between zeros to test whether its greater than 0.
Try x values: -2,0,2,4
x = -2 yields a negative result, the interval x< -1 is Not a solution.
x = 0 yields a positive result, the interval -1
x = 2 yields a negative result, the interval 1
x = 4 yields a positive result, the interval x>3 IS a solution
Answer:
The Jason's company charges more than the contractor's company.
Step-by-step explanation:
There are two expressions given for total charges for two companies as 81 x+108 and 103 x+64.
Here x represents number of hours.
We are asked to find difference in total charges if that takes 45 minutes.
45 minutes = 
hours.
Plug in this value for x.
81x+108 =
Simplify it
60.75 +108 =168.75
Now, for 103x+64 =
Simplify it,
77.25+64=141.25
If we see the total charge for both companies for 45 minutes, the Jason's business computers charges more than contractor's company.
Answer:
c = 2 * 3.14 * r and c = 3.14 * d
Step-by-step explanation:
The formulas for the circumference of a circle are
c = 2πr and c = πd
where r is the radius and d is the diameter
using π = 3.14
the formulas become
c = 2 * 3.14 * r and c = 3.14 * d
Step-by-step explanation:
The figure above is a cube since all it's sides are equal
Volume of a cube = l³
where l is the length of one side
From the question
l = 3yd
So the volume of the cube is
Volume = 3³
Volume = 3yd³
Surface area of a cube = l²
Surface area = 3²
= 9yd²
Hope this helps you
