Answer:
You are correct.
Step-by-step explanation:
The x-intercept could be written the way you have or also it can be written as a point (-1, 0).
The y-intercept could also be written as a point (0, -2) But they are commonly written the way you have also.
So, the slope is -2. But just to be clear. That slope of -2 has nothing to do with the y-intercept of -2.
If you mark all the points on the line, to get from one point to the next point, you go down 2 and over (positive direction) 1. The down 2 in math is -2 and the over 1 is just 1. The slope is that ratio of -2/1.
Slope tells us if the line is going up or down, steep or flat, even horizontal. It was coincidence only that the y-intercept and slope were the same number.
Answer:
Step-by-step explanation:
Number of gallons of gAS USED / WEEK = 150/25 = 6 gallons
Cost = 6 * 3 = 18 dollars (answer).
Answer:
x = -3 and x = -3/2
Step-by-step explanation:
After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:
p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>
p(x) = x^2(2x+3) <u>-9(2x+3)</u>
Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:
p(x) = (x^2 - 9)(2x+3)
Factor it once more because there's a difference of squares:
p(x) = (x+3)(x-3)(2x+3)
Now just plug in whatever makes the each bracket equal 0:
x = -3, x = 3, and x = -3/2
Those are your zeros.
Margie would take 1 hour and 30 minutes to write 1 page of her research paper. Think of it like a proportion:
2.25/ 1.5 = x/1
2.25 is the 2 1/4 converted which is the amount of hours she took.
1.5 is the 1 1/2 converted which are the amount of pages she wrote total.
1 on the right side of the proportion represents 1 page.
And x are the amount of hours used to write 1 page.
And in solving that proportion it would result in 1.5 or 1hr. and 30 min.
