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.)
Answer:
73 and 113 / 144 ft^2
Step-by-step explanation:
Lets convert everything into pure feet.
10ft 5in = 10 and 5/12 feet = 125/12 feet
14ft 2in = 14 and 1/6 feet = 85/6
Now lets calculate area:
1/2 * 125/12 * 85/6 = 125*85 / 144 = 73 and 113/144
Answer:
Question
An expression can often be used to model a real-life situation. For each of the following expressions, write a real-life situation using money as the context. Then, evaluate the expression and interpret the result in terms of the situation. Here's an example.
The following situation is modeled by the expression -24.50 + 100.00: Jonathan overdrew his checking account by $24.50. He then transferred $100.00 from his savings account to his checking account. His new checking account total is $75.50.
Make sure to use complete sentences in your answers.
1) $8.15 + $11.99
2) $20 - $18.04
3) 7($1.45)
4) 42.08 / 4
It's too short. Write at least 20 characters to explain it well.
Answer:
c=45 +679 =6y=8h
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
30% of 20 = 30% * 20
= 
* 20
= 6
