Answer:
(2, 8)
Step-by-step explanation:
There are a couple of different ways to do this, but I am going to use substitution since we already have one of those equations solved for y. If y=3x+2, then we can sub 3x+2 in for y in the other equation:
-3x + 2(3x + 2) = 10 and
-3x + 6x + 4 = 10 and
3x + 4 = 10 and
3x = 6 so
x = 2. Now that we know x = 2, we can sub a 2 in for x in either equation to solve for y:
y = 3x + 2 gives us, with the substitution, y = 3(2) + 2 so y = 8. The solution set is (2, 8)
Answer:
Unbounded, infinite number of solutions
Step-by-step explanation:
1. Graph each inequality separately
2. Choose test point to determine which side of line needs to be shaded
3. The solution will be the the area where the shadings from both inequalities overlap
Since, the overlap almost covers the 2nd and 3rd quadrants there are an infintite number of solutions
The volume of the small pool is the product of the cube of the scale factor and the volume of the large pool. 25.92 m cubed. Hope this helps.
This can be solve by first solving the proportionality constant
Number electic outlets rewired is directly proportional to
time spent
4 = (1 ½)a
Let be the proportionality constant
A = 8/3
O = (8/3)(7.5)
o = 20 outlets will jamal rewired if he works for 7.5 hrs
3/5 = 0.3 * x
3/5 is 30% of x - This is how they match up from the word problem to a number sentence
So to solve it...
3/5 = 0.3x
x = 3/5 ÷ 0.3 = 2
