Finish the equation. please and thank you
Answer:
Step-by-step explanation:
You have 3 unknowns: a, b, and c. It's our job to find them algebraically. I'm going to start with the point where x = 0 and y = 7. You'll see why in a minute. Filling in the standard form of a quadratic
using (0, 7):
gives you that c = 7. We will use that value now when we write the next 2 equations. Now the point (-2, 19):
and
so
12 = 4a - 2b
Now for the next point (-1, 12):
and
so
5 = a - b
Now we have a system of equations (the 2 bold font equations) that we will solve by elimination:
12 = 4a - 2b
5 = a - b
Multiply the bottom equation by -4 to get a new system:
12 = 4a - 2b
-20 = -4a + 4b
Add those together to get rid of the a terms and end up with
-8 = 2b so
b = -4
Now we can sub in -4 for b to solve for a. I'm using the second bold type equation to do this:
5 = a - (-4) and
5 = a + 4 so
a = 1 and the equation for the quadratic function is

C = conference room capacity
we can write something along the lines of C < 100, namely C can hold is less than 100.
Answer:
x=15
Step-by-step explanation:
3(x-5)=30
First, you would distribute the three to the x and the negative five.
3x-15=30
Then you would add 15 to the 15 to cancel it and to the 30 to make it even.
3x-15=30
+15=+15=
3x=45
Finally, you would divide 3 into both sides, cancelling out the three and fiving you,
x=15
Hope this helped!