Answer:
x=6
Step-by-step explanation:
5x-4=3x+8
solve for x
2x=12
x=6
Answer:
y = - 6x - 15
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 )
y = - 6x + 2 ← is in slope- intercept form
with slope m = - 6
Parallel lines have equal slopes then
y = - 6x + c ← is the partial equation
To find c substitute (- 2, - 3 ) into the partial equation
- 3 = 12 + c ⇒ c = - 3 - 12 = - 15
y = - 6x - 15 ← equation of parallel line
Answer:
21.4
Step-by-step explanation:
took the quiz
The equation that describes the relation between the number of games (g) and the number of teams (n) is given as follows:
g = n^2 - n
Now, we are given that the number of games is 132. This means that g=132. To know the number of teams, substitute with the given g in the given equation as follows:
g = n^2 - n
132 = n^2 - n
n^2 - n - 132 = 0 .......> factorize this expression
(n-12)(n-11) = 0
This means that:
either n = 12 teams
Or n = -11 teams (this solution is rejected as the number of teams cannot be negative)
Therefore, based on the above calculations, if the number of games is 132, then, the number of teams is 12
Answer:
x = 6
Step-by-step explanation:
Step 1: Write equation
150 - x - 2x = 120 + 2x
Step 2: Solve for <em>x</em>
- Combine like terms: 150 - 3x = 120 + 2x
- Add 3x to both sides: 150 = 120 + 5x
- Subtract 120 on both sides: 30 = 5x
- Divide both sides by 5: 6 = x
- Rewrite: x = 6
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
150 - 6 - 2(6) = 120 + 2(6)
144 - 12 = 120 + 12
132 = 132
