The equation of the parabolas given will be found as follows:
a] general form of the parabolas is:
y=k(ax^2+bx+c)
taking to points form the first graph say (2,-2) (3,2), thus
y=k(x-2)(x-3)
y=k(x^2-5x+6)
taking another point (-1,5)
5=k((-1)^2-5(-1)+6)
5=k(1+5+6)
5=12k
k=5/12
thus the equation will be:
y=5/12(x^2-5x+6)
b] Using the vertex form of the quadratic equations:
y=a(x-h)^2+k
where (h,k) is the vertex
from the graph, the vertex is hence: (-2,1)
thus the equation will be:
y=a(x+2)^2+1
taking the point say (0,3) and solving for a
3=a(0+2)^2+1
3=4a+1
a=1/2
hence the equation will be:
y=1/2(x+2)^2+1
<span>ΔABC is not a right triangle.</span>
9) We have: 23,15% × 35 = 8,1025 kg
There are 8,1025 kilograms of cashew nuts were there in the mixed nuts
10) We have:
- 25 × 64% = 16 mangoes
- 25× 16% = 4 avocados
Answer:
62.5%
Step-by-step explanation:
150/240
Divide top and bottom by 10
15/24
Divide by 3
5/8
.625
Multiply by 100%
62.5%
