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:
P(x) = 3x - 150
Step-by-step explanation:
Step-by-step explanation:
P(x) = R(x) - C(x)
Given:
R(x) = 5x
C(x) = 2x + 150
P(x) = 5x -(2x+150)
P(x) = 5x - 2x -150
P(x) = 3x - 150 <- Answer
Answer:
ab
Step-by-step explanation:
A b and yes it is 1 in a better one day 1
Answer:
a number plus 14
fourteen more than a number
a number increased by 14
Step-by-step explanation:
The phrases which can be represented by the algebraic expression x + 14 are
Let x = the unknown number
a number plus 14
= x + 14
fourteen more than a number
= x + 14
a number increased by 14
x + 14
The perimeter would be 40 square meters because the area of the square is side times side and the side equals ten so 10+10+10+10=40
