Answer:
Step-by-step explanation:
A quadratic in factored form is usually expressed as: where the sign of a and b depends on the sign of the zero. And I said "usually" since sometimes the x will have a coefficient. Anyways in the quadratic there are two zeroes at x=-1 and x=3. This can be written as: . Notice how the signs are different? This is because when you plug in -1 as x you get a factor of (-1+1) which becomes 0 and it makes the entire thing zero since when you multiply by 0, you get 0. Same thing for the x-3 if you plug in x=3. Now a is in front and it can influence the stretch/compression. To find the value of a, you can take any point (except for the zeroes, because it will make the entire thing zero, and you can technically input anything in as a)
I'll use the point (1, -4) the vertex
-4 = a(1+1)(1-3)
-4 = a(2)(-2)
-4 = -4a
1 = a. So yeah the value of a is 1
So the equation is just:
Answer:
Step-by-step explanation:
Let's get some organization going here and number the equations:
1. A+B=25.6
2. A+C=41.6
3. B+D=25.6 and
4. C-D=19.2
First I am going to solve equation 1 to get new equation 5:
5. B=25.6-A (hold that for a sec) and then solve equation 2 to get new equation 6:
6. C=41.6-A
Now sub equation 5 into equation 3:
25.6-A+D=25.6 and
A-D=0 so
A=D. That's good. Now we move on:
Sub equation 6 into equation 4 to get
41.6-A-D=19.2. But since A = D:
41.6-D-D=19.2 so
41.6-2D=19.2 and
-2D=-22.4 so
D = 11.2 and so does A.
Now we will fill in to get B and C.
In equation 2, with A = 11.2:
11.2+C=41.6 so
C = 30.4.
For B, use the fact that D = 11.2 in equation 3:
B+11.2=25.6 so
B = 14.4
All in all:
A = 11.2
B = 14.4
C = 30.4
D = 11.2
Yikes!!
Answer:
120
Step-by-step explanation:
So What I did 1st was do the math for (96−74+92) so I got 114
Then I did that the same with (56−104+42) so I got -6
Then All I had was 114-(-6) then I removed the parentheses then I made the equation 114+6 So I calculated that and got 120
Answer:0.8
Step-by-step explanation:
Answer:
Each Pizza will cost $12.55
Step-by-step explanation:
we first going to subtract the following
$47.60 - 5 - 4.95 = $37.65
$37.65 / 3 (the number of pizza ) = $12.55