Answer:
(f - g)(x) = -x + 8
General Formulas and Concepts:
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x + 1
g(x) = 3x - 7
(f - g)(x) = f(x) - g(x)
<u>Step 2: Simplify</u>
- Set up: (f - g)(x) = (2x + 1) - (3x - 7)
- Distribute -1: (f - g)(x) = 2x + 1 - 3x + 7
- Combine like terms: (f - g)(x) = -x + 8
To find the inverse function simply replace "x" by "y", replace "y" by "x", and solve for y
f(x)=4x
y=4x
x=4y
y=x/4 or h(x)=(1/4)x
Answer:
50 Minutes.
Step-by-step explanation:
The function c approximates the total number of calls made after m minutes since the start of the phone tree.

We need to find the number of minutes after which the total number of calls will 363.
Substitute c(m)=363 in the given function.

Multiply 3/2 both sides.


Add 1 on both sides.


On comparing both sides we get

Multiply both sides by 10.

Therefore, the total number of calls will 363 after 50 minutes since the start of the phone tree.
Answer:
1. B 2. C
Step-by-step explanation:
1. x^2-18x+(18/2)^2=19+(18/2)^2
(x-18/2)^2=100
(x-9)^2=100
x1= -1 x2= 19
2. x^2=81
x=+-9
x1=-9 x2=9
Answer:
Step-by-step explanation:
Answer:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)