Answer:
(d) f(x) = -x²
Step-by-step explanation:
For the vertex of the quadratic function to be at the origin, both the x-term and the constant must be zero. That is, the function must be of the form ...
f(x) = a(x -h)² +k . . . . . . . . . . vertex form; vertex at (h, k)
f(x) = a(x -0)² +0 = ax² . . . . . vertex at the origin, (h, k) = (0, 0)
Of the offered answer choices, the only one with a vertex at the origin is ...
f(x) = -x² . . . . . a=-1
Answer:
2y + 18
Step-by-step explanation:
8 + 2(y + 5)
8 + 2y + 10
2y + 18
Triangular prism. It has three sides so a triangle
Answer: the total amount after 6 years is 4690
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount of the loan at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount loaned.
From the information given,
P = 2900
r = 8% = 8/100 = 0.08
n = 12 because it was compounded 12 times in a year.
t = 6 years
Therefore,
A = 2900(1 + 0.08/12)^12 × 6
A = 2900(1 + 0.0067)^72
A = 2900(1.0067)^72
A = 4690
