Answer:
5 x^2 - x + 6
Step-by-step explanation:
- (x^2 + 2) + 6 x^2 - x + 8
- x^2 - 2 + 6 x^2 - x + 8
(6 x^2 - x^2) - x + (8 - 2)
5 x^2 - x + (8 - 2)
= 5 x^2 - x + 6
Answer:
The equation would be y = 5x - 11
Step-by-step explanation:
To find this line, start with the slope. Since it is parallel to the first line and parallel lines have the same slope, we know the slope to be 5. Given this we can use point-slope form and solve for y to get the equation.
y - y1 = m(x - x1)
y + 1 = 5(x - 2)
y + 1 = 5x - 10
y = 5x - 11
You want to know when both colleges have the same enrollment. "When" is a time thing so you are going to be solving for x. The number of students is the same and that means you will be solving for y.
Since both ys are equal, you can equate the right side of each equation to each other.
0.046 x + 0.570 = - 0.036x + 2.702 There are a number of ways to go on. The easiest is to dig out your calculator. Add 0.036x to both sides.
0.046x + 0.036x + 0.570 = 2.702
0.082x + 0.570 = 2.702 Now subtract 0.570 from both sides.
0.082x = 2.702 - 0.570
0.082x = 2.132 Divide by 0.084
x = 2.132 / 0.082
x = 26 which means you add 26 onto 1990. The year this took place was 2016
x = 2016 (That's the year there was equality in enrollment). The second one is the only year that gives 2016 as an answer. So you don't have to find y. But we'll do it anyway.
Now you have to solve for y
y = 0.046x +0.57 put 26 in for x
y = 0.046 * 26 + 0.570
y = 1.196 + 0.570
y = 1.766 enrollment numbers were equal, but this is in thousands.
y = 1766 enrollment in actual numbers of students.
Second choice <<<<<===== answer.
Answer:
$180
Step-by-step explanation:
Well because it is $27 per hour, you can start with the whole hours:
6*27=162
then because you are working with fractions you can find what 1/3 of 27 is:
27* (1/3)=9
this tells us that one-third of an hour is worth 9 dollars but because it is 2/3 then you just add another 9. This means 2/3 of 27 is 18.
Then you just add it all up:
162+18=180
It's B.) The student’s answer is not reasonable. Estimation: 170 + 90 = 260
