Answer:
The x-intercept is (-2,0)
The y-intercept is (0,3)
Step-by-step explanation:
An x-intercept is the point when the graph crosses the x-axis. In other words, the y-coordinate of the x-intercept is 0 (since it lays on the x-axis). In other words, to solve for the x-intercept(s), plug in 0 for y and solve for x:
So, the x-intercept is (-2,0).
Likewise, the y-intercept is the point when the graph crosses the y-axis. Because it's on the y-axis, the x-coordinate value would be 0. Thus, to find the y-intercept, plug in 0 for x and solve for y:
Thus, the y-intercept is (0,3).
Answer: Juan travelled 28 miles in the taxi
Step-by-step explanation:
A taxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile. This means that for m additional miles, the charge will be 2.25 + 0.20(m - 1)
So if F represents the fare, then
F = $2.25 + $0.20(m - 1)
If Juan's taxi fare was $7.65, to determine the number of miles that she paid for, we would substitute F = $7.65 into the equation,
F = $2.25 + $0.20(m - 1). It becomes
7.65 = 2.25 + 0.20(m-1)
7.65 = 2.25 + 0.20m - 0.20
7.65 - 2.25 + 0.20 = 0.2m
0.2m = 5.6
m = 5.6/0.2 = 28 miles
Area of a circle is PI x r^2:
Area of circle = 3.14 x 13^2 = 530.66 square meters.
To find the area of the sector multiply the area of the circle by the fraction of the sector
Area of sector = 530.66 x 150/360 = 221.108 square meters ( Round the answer as needed).
Answer:
You could fit 48 cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm X 2 2/3 cm X 2/3 cm.
