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 circumference would be 25.12 mm
Step-by-step explanation:
Answer:
The answer to your question is Brand B
Step-by-step explanation:
Data
Brand A amount of 20 pencils cost $6
Brand B amount of 40 pencils cost $8.5
Process
1.- Calculate the unit price of each brand of pencils dividing the cost by the number of pencils
Brand A 6/20 = $0.3
Brand B 8.5/40 = $0.21
2.- Conclusion
Brand B is a better deal because you buy more pencils for a lower price.
Answer:
8/45
Step-by-step explanation:
Write 4 5/8 as an improper fraction: 45/8.
Then invert this result, obtaining:
. This is the "reciprocal" of 4 5/8.
Graph1-Yes
Graph2-yes
Graph 3- NO
Graph4-yes
Graph5-No
Graph6/No
