Answer:
(f + g)(x) = 5x + 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 2x - 6
g(x) = 3x + 9
(f + g)(x) is f(x) + g(x)
<u>Step 2: Find</u>
- Substitute in function values: (f + g)(x) = 2x - 6 + 3x + 9
- Combine like terms: (f + g)(x) = 5x + 3
Answer:
6.2 kilograms/ deciliters
Step-by-step explanation:
megagrams to kilograms
1 megagram = 1000 kilograms
hectoliter to deciliter
1 hectoliter = 1000 deciliter
Using conversion factors
6.2megagrams 1000 kilgrams 1 hectoliter
---------------------- * ----------------------- * -------------------------
hectoliter 1 megagram 1000 deciliters
Canceling like terms
6.2 kilograms/ deciliters
Answer:
first sub in (0,-2) to get
-2 = ab^0, but b^0 = 1
so a=-2
so far we have
y = -2b^x
now use the other point (2,-50)
-50 = -2(b^2)
b^2 = 25
b= ±5
however in exponentional equations the base is usually positve, so now you have
y = -2(5^x)
sub in x=-2 and you got it.
Step-by-step explanation:
hope it helps..
Answer:
Step-by-step explanation:
The system of equations is expressed as
y=-2x+7 - - - - - - - - 1
y=5x-7 - - - - - - - - -2
We would equate equation 1 and equation 2. It becomes
- 2x + 7 = 5x - 7
We would add 2x to the left hand side and the right hand side of the equation. Also add 7 to the left hand side and the right hand side of the equation. It becomes
- 2x + 2x + 7 + 7 = 5x + 2x - 7 + 7
14 = 7x
Dividing the left hand side and the right hand side of the equation by 7, it becomes
7x/7 = 14/2
x = 2
y= -2 × 2 + 7
y = - 4 + 7
y = 3
