Answer:
(-1, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
10x + 6y = 14
-x - 6y = -23
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Add 2 equations together: 9x = -9
- Divide 9 on both sides: x = -1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: -x - 6y = -23
- Substitute in <em>x</em>: -(-1) - 6y = -23
- Multiply: 1 - 6y = -23
- Subtract 1 on both sides: -6y = -24
- Divide -6 on both sides: y = 4
Answer:
Step-by-step explanation:
This is a composite function, f(g(x)). This means, working from the inside function to the outside, we will take the function g and plug it in for x in the f function. g(x) = 2x + 4. We will plug that into f(x) and evaluate f(2x+4):
and I imagine your teacher has you simplify completely. We FOIL and distribute to get
which, by combining like terms, give us
Answer:
1,496.49 cm squared
Step-by-step explanation:
The regular figure below is a hexagon.
The formula for the area of a regular hexagon is 
. Here a = 24. Substitute and simplify for the area.
Answer:
Step-by-step explanation:
- x − (5 − 3x) ≤ 2x − 1
- x - 5 + 3x ≤ 2x - 1
- 4x - 5 ≤ 2x - 1
- 4x - 2x ≤ 5 - 1
- 2x ≤ 4
- x ≤ 2 or x ∈ (- oo, 2]
The graph includes all point to the left from point 2, same point included
9x+3x=180 by def. of supplementary
12x=180
12/12x=180/12
x=15
9x=9(15)=135°
