Answer:
slope = 
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 6y - 14x = 5 into this form
add 14x to both sides
6y = 14x + 5 ( divide all terms by 6 )
y = 
x + 
← in slope- intercept form
with slope m = ← in simplest form
Answer:
= 3n + 4
Step-by-step explanation:
there is a common difference between consecutive terms , that is
10 - 7 = 13 - 10 = 16 - 13 = 3
this indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 7 and d = 3 , then
= 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4
I think if I do this correctly, the answer is x<-1
Answer:
f(x) - g(x) = 3x² - 3x + 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 3x² - x + 5
g(x) = 2x - 3
<u>Step 2: Find f(x) - g(x)</u>
- Substitute in function values: f(x) - g(x) = 3x² - x + 5 - (2x - 3)
- [Distributive Property] Distribute negative: f(x) - g(x) = 3x² - x + 5 - 2x + 3
- [Subtraction] Combine like terms (x): f(x) - g(x) = 3x² - 3x + 5 + 3
- [Addition] Combine like terms: f(x) - g(x) = 3x² - 3x + 8
No, the decimal will be over four places
