Answer:
The current population (in 2005) is 4000 because it is the constant. The slope tells us how many people are added to the population, so 70 per year. For ex. 2008 (2008- 2005 = 3=> 3 x 70 = 210 => 210 + 4000 = 4210).
First, let's find the solution.
-2x + 3y = 8
Add 2x to both sides.
3y = 2x + 8
Divide both sides by 3.
y = 2/3x + 8/3
4x + 2/3x + 8/3 = -2
14/3x + 8/3 = -2
Subtract 8/3 from both sides.
14/3x = -14/3
Multiply both sides by 3/14.
x = -1
y = 2/3(-1) + 8/3
y = -2/3 + 8/3
y = 6/3, or 2.
The solution is (-1, 2) which lies in Quadrant II, because its outline is (-, +).
(-3)(-8)(-1)= -24
(-3)+(-8)+(-1)= -12
Answer:
Friday: 300 dollars
Step-by-step explanation:
Let Omar's pay on Friday = x
Friday: x
Saturday: 1/4 x was spent.
Sunday: 2/3 *(x - (1/4)x ) = 2/3 * (3/4x) = (2*3/(3*4)x = (6/12)x = 1/2x
Dinner: 15 dollars
Remainder = 20% x = 20/100 x = 0.2x
x - (1/4x + 1/2(x) + 15) = 0.2x Combine like terms on the left
x - (3/4x + 15) = 0.2x Remove the brackets
x - (3/4)x - 15 = 0.2x Combine like terms on the left
(1/4)x - 15 = 0.2x Change 1/4 to a decimal
0.25x - 15 = 0.2x Subtract 0.25x from both sides
0.25x - 0.25x - 15 = 0.2x - 0.25x Combine
- 15 = - 0.05x Divide by - 0.05
-15 /-0.05 = - 0.05 x/ 0.05
300 = x
