14. (2x - 1)(x + 7) = 0Using the zero factor property, we know that either the first or second terms (or both) must be equal to 0 if their product is 0. We can set each term equal to 0 to find the solutions:
2x - 1 = 0
2x = 1
x = 1/2
x + 7 = 0
x = -7
15. 
To solve this equation, you first need to set it equal to 0:

Next, it can be factored:

Finally, we can solve just like we did above:
x + 5 = 0
x = -5
x - 2 = 0
x = 2
16. 
First, you can simplify by dividing each side by 4:

Now, set the equation equal to 0:

Next, factor:

Finally, find the solutions:
x + 5 = 0
x = -5
x - 5 = 0
x = 5
Answer:
36
Step-by-step explanation:
Area of total region = 12 ×5
=60
Area of the small region = 8×3
=24
Area of shaded region = Area of Total region - area of small region
= 60 - 24
= 36
Answer:
The digit '0' is in the ones place.
Answer:
24 hours
Step-by-step explanation:
One member of the gardening club can alone plant flowers in 12 hours.
So in 1 hour he can plant 1/12 of the flowers.
Let the time required by the second member of the club to plant flowers alone be x hours.
Then in 1 hour he can plant 1/x of the flowers.
Now when the two members work together,each hour they can plant:
of the flowers.
But they can together complete the job in 8 hours. So in one hour they plant 1/8 of the flowers.
=> ![\[\frac{1}{12}+\frac{1}{x}=\frac{1}{8}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B12%7D%2B%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B1%7D%7B8%7D%5C%5D)
=> ![\[\frac{1}{x}=\frac{1}{24}\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7B1%7D%7B24%7D%5C%5D%0A)
=> x=24
So the second member can plant the flowers alone in 24 hours
Answer/Step-by-step explanation:
✔️The rate of change can be calculated using the coordinates of any two points on the graph. Let's use (2, 60) and (3, 75):

Rate of change (m) = 15
✅In the context of this situation, the rate of change can be interpreted to be the additional fee per class. Thus, an additional fee per class cost $15.
✔️Initial value is the same as the y-intercept.
To find the y-intercept (b), substitute m = 15, x = 2, and y = 60 into y = mx + b.
Thus:
60 = 15(2) + b
60 = 30 + b
60 - 30 = b
30 = b
b = 30
The initial value/y-intercept = $30
✅In this context, $30 is the start-up fee to cover art supplies.