Equation of a parabola is written in the form of f(x)=ax²+bx+c.
The equation passes through points (4,0), (1.2,0) and (0,12), therefore;
replacing the points in the equation y = ax² +bx+c
we get 0 = a(4)²+b(4) +c for (4,0)
0 = a (1.2)²+ b(1.2) +c for (1.2,0)
12 = a(0)² +b(0) +c for (0,12)
simplifying the equations we get
16a + 4b + c = 0
1.44a +1.2b + c = 0
+c = 12
thus the first two equations will be
16a + 4b = -12
1.44 a + 1.2b = -12 solving simultaneously
the value of a = 5/2 and b =-13
Thus, the equation of the parabola will be given by;
y= 5/2x² - 13x + 12 or y = 2.5x² - 13x + 12
Answer:
The second number ($1,541.02) is greater
Step-by-step explanation:
In the 100s place of the second number is a 5 and in the first a 4
Even though they have the same 1000s number 500 is larger that 400
Answer:
Step-by-step explanation:
0.5
how do i answer that I don't even know that sorry
Step-by-step explanation:
points (-7,5) and (5,-3)?
This would mean to subtract the y coordinates:
5 - (-3) = 8
Then subtract the x coordinates in the same order:
-7 - 5 = -12
Then divide the y result by the x result for the slope:
8/-12 is the slope.
In simplest form, this is equivalent to -2/3
