Answer:
f(x) = (x - 4)² - 4
Step-by-step explanation:
∵ The general form of the Parabolic function is :
f(x) = (x - h) + k ⇒ where point (h , k) is the turning point
∵ The turning point is (4 , -4)
∴ f(x) = (x - 4)² + -4 = (x - 4)² - 4
To check the answer:
Use the point (6 , 0) ⇒ 0 = (6 - 4)² - 4 ⇒ 0 = 4 - 4
∴ f(x) = (x - 4)² - 4
Answer:
General Formulas and Concepts:
<u>Calculus</u>
Integrals
- Definite Integrals
- Area under the curve
- Integration Constant C
Integration Rule [Reverse Power Rule]:
Integration Rule [Fundamental Theorem of Calculus 1]:
Integration Property [Multiplied Constant]:
Integration Property [Addition/Subtraction]:
Area of a Region Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 6x + 19
Interval [12, 15]
<u>Step 2: Find Area</u>
- Substitute in variables [Area of a Region Formula]:
- [Integral] Rewrite [Integration Property - Addition/Subtraction]:
- [Integrals] Rewrite [Integration Property - Multiplied Constant]:
- [Integrals] Integrate [Integration Rule - Reverse Power Rule]:
- Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:
- Simplify:
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
8 and 9 are the least possible integers for the answer I hope this is what you needed and it helped
5x + 300y = 178
4x + 500y = 197
Multiply the first equation by 5 and the second equation by -3.
25x + 1500y = 890
-12x - 1500y = -591 Subtract.
------------------------------
13x = 299 Divide.
x = 23.
Solve for y by plugging in 23 for x.
4(23) + 500y = 197
92 + 500y = 197
500y = 105
y = .21
The Daily Fee is $23 and the Charge Fee per mile is $0.21.
Answer:
4
Step-by-step explanation:
The part of the function that is (2x - 1)² has a minimum value of 0. The reason is that any real number you for x will give you a positive, negative, or zero value for 2x - 1. When you square it, you must get a non-negative answer.
Then you add 4, and you get a value that is greater than or equal 4.