In any parabola, the vertex is the turning point. And the x-coordinate of the vertex can be found using
So, in your case, you have
So, your equation actually looks like
Now impose the passing through (2,1), i.e. substitute x=2, y=1 and solve for b:
Answer:
20 visits
Step-by-step explanation:
The club that charges $40 more for enrollment charges $2 less per visit. The savings on visits is equal to the extra enrollment charge when the number of visits is 40/2 = 20.
For 20 visits, the cost at both clubs is the same.
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If you let v represent the number of visits, ...
A = 60 +2v . . . . cost at club A
B = 20 +4v . . . . cost at club B
A = B ⇒ 60 +2v = 20 +4v . . . . . . costs are the same for "v" visits
40 = 2v . . . . . . . subtract 20+2v from both sides
40/2 = v = 20 . . . . . . same as "word solution" above
F(x) = x^4 + 7x^3 - 7x^2 - 43x + 42
f(1) = 1^4 + 7(1)^3 - 7(1)^2 - 43(1) + 42 = 1 + 7 - 7 - 43 + 42 = 0
Since f(1) = 0, therefore (x - 1) is factor.
Answer:
f(3) = -17
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = -5x - 2
f(3) is x = 3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: f(3) = -5(3) - 2
- Multiply: f(3) = -15 - 2
- Subtract: f(3) = -17
You just subtract. The standard form of a complex number is a+bi
1 - 4 = -3
-i - (-5i) = 4i
The answer is -3 + 4i
