Answer:
5 hours
Step-by-step explanation:
Mark recieves 3mg per hour. This can be rewritten as y=3x. Cassie recieves 2x+5. To solve, use substitiution. 3x=2x+5. To solve, subtract "2x" from "3x." You then get x=5.
Answer:
48
Step-by-step explanation:
8 squares=32
8 half squares=16
32+16=48
There are 4 sides to a 8 whole squares 8*4=32
There a 2 sides to 8 half squares 8*2=16
The transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
<h3>How to compare the function to its parent function?</h3>
The equation of the transformed function is given as:
y = -(x - 2)^2 - 3
While the equation of the parent function is given as
y = x^2
Start by translating the parent function to the right by 2 units.
This is represented as:
(x, y) = (x - 2, y)
So, we have:
y = (x - 2)^2
Next, reflect the above function across the y-axis
This is represented as:
(x, y) = (-x, y)
So, we have:
y = -(x - 2)^2
Lastly, translate the above function 3 units down
This is represented as:
(x, y) = (x, y - 3)
So, we have:
y = -(x - 2)^2 - 3
Hence, the transformed equation y = -(x - 2)^2 - 3 compared to the parent function involves translating the parent function to the right by 2 units, reflecting the function across the y-axis and translating the function 3 units down
Read more about function transformation at:
brainly.com/question/8241886
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Answer: 2 bookcases.
Step-by-step explanation:
Let be "x" the number of bookcases that the custodian will be able to repaint completly with 5 gallons of paint.
According to the data given, the custodian needs 2 gallons of paint to repaint one bookcase. Since all the bookcases are equal, you can set up the following proportion:
Now you must solve for "x" in order to find its value:
Notice that the custodian will be able to repaint 2 bookcases completely, then you can say that:
