6)
A quadratic function has the form
y = ax^2 + bx + c
Use point (3, 5) in the equation above:
5 = a(3^2) + 3b + c
5 = 9a + 3b + c
9a + 3b + c = 5 Equation 1
Use point (4, 3) in the equation above:
3 = a(4^2) + 4b + c
16a + 4b + c = 3 Equation 2
Use point (5, 3) in the equation above.
5 = a(5^2) + 5b + c
25a + 5b + c = 5 Equation 3.
Now solve the system of equations of equations 1, 2, and 3 to find the coefficients, a, b, and c.
9a + 3b + c = 5
16a + 4b + c = 3
25a + 5b + c = 5
Subtract the first equation from the second equation.
Subtract the second equation from the third equation.
You get
7a + b = -2
9a + b = 2
Subtract the first equation above from the second equation to get.
2a = 4
a = 2
Substitute:
7a + b = -2
7(2) + b = -2
b = -16
9a + 3b + c = 5
9(2) + 3(-16) + c = 5
18 - 48 + c = 5
c - 30 = 5
c = 35
The equation in standard form is
y = 2x^2 - 16x + 35
We can find it in vertex form:
y = 2(x^2 - 8x) + 35
y = 2(x^2 - 8x + 16) + 35 - 32
y = 2(x - 4)^2 + 3
Hello there, multiply to each side of ratio until you get the answer, which in this case you have to multiply 4 to each side, therefore...
B= 28
A= 16.
Hope this helps!!
~Brainliest
Answer:
2/8 < 7/8
Step-by-step explanation:
Since the denominators are the same, we compare the numerators
2<7 so
2/8 < 7/8
4- 20
I created an equation for this one:
4x+x=100
- 4x= four times the amount of the other number
- x= the number
- combine like terms
5x=100
x=20
5. One pretzel costs $3
Create an equation:
Mulitply 2s+p=7 by -2 so you can use elimination.
Combine equations
p=3
