Answer: a = 1.25, b = 2.5, c = 1.25
Step-by-step explanation:
Use vertex form and substitute a point into it (1, 5)
5 = a(1 + 1)^2 + 0
5 = a(2)^2 + 0
5 = 4a
a = 5/4
y = 5/4 (x + 1)^2
y = 5/4 (x^2 + 2x + 1)
1.25 x^2 + 2.5x + 5/4
Is there a "c" value otherwise it's not possible
Answer:
LCM of 20, 30, and 40
LCM = 120
they would cry together for the first time in 120 minutes.
Answer:
f(x) = -3x^2 + 10x + 3
Step-by-step explanation:
(0,3) (2,11)(3,6)
Using the form ax^2 + bx + c = y
From the first set we know that c = 3
Write an equation for the last two sets
x=2; y=11
a(2^2) + b(2) + 3 = 11
4a + 2b = 11 - 3
4a + 2b = 8
simplify divide by 2
2a + b = 4
and
x=3, y=6
9a + 3b + 3 = 6
9a + 3b = 6 - 3
9a + 3b = 3
simplify divide by 3
3a + b = 1
:
Use elimination to find a
3a + b = 1
2a + b = 4
--------------subtracting eliminate b
a = -3
Find b using the equation 2a + b = 4
2(-3) + b = 4
b = 4 + 6
b = 10
:
The equation: f(x) = -3x^2 + 10x + 3
Answer:
3x(x2 + 4)
Then use the distributive property
SO the final answer would be: 3x^3 +12x
Step-by-step explanation:
