Write a quadratic function to model the graph to the right

answer:

y = x² + 2x + 5

step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here the vertex = (- 1, 4), thus

y = a(x + 1)² + 4

to find a substitute (0, 5) a point on the graph into the equation

5 = a(0 + 1)² + 4

5 = a + 4 ( subtract 4 from both sides )

a = 1, thus

y = (x + 1)² + 4 ← expand and simplify

  = x² + 2x + 1 + 4

  = x² + 2x + 5

answer:

compound interest = $3310

step-by-step explanation:

formula for calculating   compound interest

a = p[1 + r/100]^n

a - amount

p - principle amount

r - rate of interest

n - number of years

to find compound interest

here  

p - $100,000

r - 10%

n - 3 years

a = p[1 + r/100]^n

a = 100000[1 + 10/100]^3

a = 100000[110/100]^3

a = 100000[1.10]^3 = 133100

compound interest ci = a - p = 133100 - 100000 = 33100

option c) have some mistake, 33.10 instead of 33100

answer:

3/5 + 2/5·1/3 = 11/15

1 - 11/15 = 4/15

4/15 are 4 problems

1/15 are 1 problem

15/15 are 15 problems

15 problems were assigned for the weekend.