Answer:
y = 15.75x + 25 is the linear equation
$88 would be the total cost
Step-by-step explanation:
First, create the equation using y = mx + b, where x is the number of hours:
y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25
There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:
y = 15.75x + 25
Plug in 4 as x:
y = 15.75(4) + 25
y = 63 + 25
y = 88
So, the total cost would be $88
We first start by finding the actual coordinates of the pre - image's point S.
Assuming the x and y axis count by 1s, as there is no labels, we can conclude that:
The point's x coordiate is 4 to the left from the origin, or -4.
The point's y coordinate is 4 up from the origin, or 4.
So, the coordinates of Point S is (-4, 4).
Next, we apply the translation rule for a 90 degree counterclockwise rotation to the point's coordinates. The rule is (x, y) --> (-y, x). Using this rule on our coordinates, we get:
(-4, 4) --> (-4, -4)
So, the new coordinates of point S prime after a 90 degree counterclockwise rotation are (-4, -4).
Answer:
w=10
Step-by-step explanation:
You would have to set 5w-4=46.
5w-4=46
Add 4 to both sides
5w=50
Divide both sides by 5
w=10