Answer:
144
Step-by-step explanation:
Answer:
x = 3
y = 2
Step-by-step explanation:
3x + 2y = 12
-2x + 3y = 5 to find the solution we will use elimination method and for that, multiply second equation with 3 and the first equation with 2
<em>2 * 3x + 2y = 12</em>
<em>6x + 4y = 24</em>
<u>3 * -2x + 3y = 5</u>
<u>-6x + 9y = 15</u> now find the sum of both equation:
<em>6x + 4y </em><u>-6x + 9y</u> = 24 + 15 add like terms
13y = 39 divide both sides by 13
y = 3 now that we found the value of y we can use this to calculate the value of x
3x + 2y = 12 replace y with 3
3x + 2*2 = 12
3x + 4 = 12 subtract 4 from both sides
3x = 9 divide both sides by 3
x = 3
Answer: y=-1/2x-4
Step-by-step explanation:
If you use point slope formula you get
y+2=-1/2(x+4)
simplify that in y=mx+b and you get
y=-1/2x-4
Answer:
f(g(2)) = 22
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x + 1
g(x) = 2x² - 1
<u>Step 2: Find g(2)</u>
- Substitute: g(2) = 2(2)² - 1
- Evaluate: g(2) = 2(4) - 1
- Multiply: g(2) = 8 - 1
- Subtract: g(2) = 7
<u>Step 3: Find f(g(2))</u>
- Define: g(2) = 7
- Rewrite: f(7)
- Substitute: f(7) = 3(7) + 1
- Multiply: f(7) = 21 + 1
- Add: f(7) = 22
And we have our final answer!
