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
Answer:
b
Step-by-step explanation:
1. Find the greatest common factor (GCF)
What is the largest number that divides evenly into 4x^2, -16x^4, and 10x^5?
It is 2.
What is the highest degree of x that divides evenly into 4x^2, -16x^4, and 10x^5?
It is x^2.
Multiply the results above, the GCF = 2x^2
2. Factor out the GCF (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
2x^2(4x^2/2x^2 + -16x^4/2x^2 + 10x^5/2x^2)
3. Simplify each term in parentheses
2x(2-8x^2+5x^3)
Have a nice day :D
Option C:
is equivalent to the given expression.
Solution:
Given expression:
To find which expression is equivalent to the given expression.
Using exponent rule: 
Using exponent rule: 
Divide both numerator and denominator by the common factor –6.
Therefore, is equivalent to the given expression.
Hence Option C is the correct answer.
Given:Painting priced at $600.
If paid using credit card and in installment basis.$600 x 16% = $96 interest on credit card balance$600 + $96 = $696 total debt$696 ÷ 12 months = $58 monthly payments
If paid using cash from cash advance.$600 x 5% discount = $30$600 - $30 = $570$570 x 32% = $182.40 interest on cash advance$570 + $182.40 = $752.40$752.40 ÷ 12 months = $62.70 monthly payment
It is cheaper for Paul to buy the painting using his credit card. He will only pay $58 per month on his credit card provider compared to the $62.70 monthly bill if he used cash advance.
Hope this helped☺☺
