Answer:
The average rate of change is 115 cupcakes per hour approximately
Step-by-step explanation:
Answer:
y=2x^2+1
Step-by-step explanation:
I checked on photo maths

Two lines are parallel when their slopes are the same.
Let's set up an equation.
so we know the answer is -13.
1/3 of a number (our variable) can be written as 1/3n.
8 less than that would be subtracting 1/3n by 8
so we have -13 = 1/3n - 8.
To solve:
Add 8 to both sides: -5 = 1/3n
Multiply both sides by 3 (to cancel fraction): -15 = n
You can check by plugging -15 into the equation we made.
Answer:

Step-by-step explanation:
Please find the attachment.
Let us divide our given image in several parts and then we will find area of different parts.
First of all let us find the area of our red rectangle with side lengths 6 units and 7 units.



Now let us find area of yellow triangle on the top of red rectangle. We can see that base of triangle is 6 units and height is 1 unit.



Let us find the area of green triangle.


Now we will find the area of blue triangle, whose base is 6 units and height is 2 units.


Let us add all these areas to find the area of our figure.



Therefore, area of our given figure is 54 square units.