That's a quadratic, a nice parabola in vertex form.
The parabola has a positive x^2 term, so it's a CUP, concave up positive. It will have a minimum at the vertex, which is (2,5). Plot that point.
Now we need a couple of guide points to draw the usual parabola going up from both sides of its vertex. We try x=0 giving (0,9) and see that x=4 also gives 9, (4,9). Plot the parabola through those two points and the vertex and you're done.
Answer:
30 belongs to the set of real numbers, the set of rational numbers, the set of whole numbers, the set of natural numbers and the set of integers.
Step-by-step explanation:
Start off by distributing the numbers into the parentheses:
5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
-15x - 10 - (x - 3) = -16x - 20 + 13
(Note: It's super important to be careful when opening up negative parentheses! -(x-3) is not just - x - 3, it is actually -x + 3 since the negative is distributed in every number!)
-15x - 10 - x + 3 = -16x - 20 + 13
-16x - 7 = -16x - 7
-16x = -16x
0 = 0
There is an infinite number of solutions in this equation.
(When you get 0=0 when solving for a variable, that means that said variable will have infinite solutions, that is, any number plugged into the equation will work)
1)-8(-2x+6)+(-10)
16x-48-10
16x-50
2) 9(x-8)-17x
9x-72-17x
-8x-72
Answer:
Kevin will earn the money before than Philip
Philip needs at least 4 weeks
Kevin needs at least 3 weeks
Step-by-step explanation:
Let's call x to the number of weeks
Philip works 6 hours each weekend, which means 6 hours per week, earning $8.75 per hour, which is equivalent to 6*8.75 = $52.5 per week
Philip has already saved $45. Then he needs the next number of weeks:
52.5*x + 45 = 225
x = (225 - 45)/52.5
x = 3.4
Philip needs at least 4 weeks
Kevin works 3 hours per day for 3 days a week, which means 9 hours per week, earning $7.5 per hour, which is equivalent to 9*7.5 = $67.5 per week
Kevin has already saved $30. Then he needs the next number of weeks:
67.5*x + 30 = 225
x = (225 - 30)/67.5
x = 2.9
Kevin needs at least 3 weeks
