If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)
3/8 written as an decimal is <span>0.375</span>
Answer:
also got exams
Step-by-step explanation:
good luck bro
Answer: $7,488
Step-by-step explanation:
For answer B:
The formula for the new balance would be A=P(1 + r)t
A = new balance
P = principal balance -> $900
r = rate (in decimal form)
t = time in years -> 8 years
To find the rate, convert 4% to decimal
4/100 = 0.04
A=P(1+ r)t
A=900(1+0.04)8
A=900(1.04)8
A=$7,488
Answer:
15x + 14y = -18
Step-by-step explanation:
slope = (6 - -9)/(-8 - 6) = 15/-14
y = mx + b
6 = -15/14(-8) + b
6 = 60/7 + b
b = -18/7
y = -15/14x - 18/7
15/14x + y = -18/7, multiply everything by 14
15x + 14y = -18
