The slope of f(x) is 10 and the slope of g(x) is 5; g(x) has the greater y-intercept.
To find the slope of f(x), we use the slope formula: m=(y₂-y₁)/(x₂-x₁) = (-1--11)/(0--1) = (-1+11)/(0+1) = 10/1 = 10.
To find the slope of g(x), we just look at the form it is in. It is written in slope-intercept form, y=mx+b, where m is the slope. The number in g(x) that would correspond to m is 5.
The y-intercept of f(x) is found by looking at the points. Any y-intercept will have an x-coordinate of 0; the only point like this in the table is (0, -1) so the y-intercept is -1.
For g(x), we again look at the form y=mx+b. The number that corresponds with b is the y-intercept; in this case, it is 1. 1>-1, so g(x) has the larger y-intercept.
Answer:
SA = 967.6 cm²
Step-by-step explanation:
Surface Area of cylinder = ![2\pi r h + 2\pi r^2](https://tex.z-dn.net/?f=2%5Cpi%20r%20h%20%2B%202%5Cpi%20r%5E2)
<u><em>Where r = 7 cm, h = 15 cm</em></u>
=> SA = 2(3.14)(7)(15)+2(3.14)(7)²
=> SA = 659.7 + 2(3.14)(49)
=> SA = 659.7 + 307.9
=> SA = 967.6 cm²
Answer:
635.2 cm^3.
Step-by-step explanation:
Volume of the cylinder = π r^2 h
= 3.14 * 4^2 * 5 = 251.2
Volume of the prism = 4 *8 * 12
= 384
Total volume = 384 + 251.2
Let x be how many hot dogs person b ate
therefore, person a ate x+8 hotdogs
and person c ate x-10 hotdogs
they all ate 130 hotdogs in total so
x + x + 8 + x - 10 = 130
3x -2 = 130
3x = 132
x = 44
so person b ate 44 hotdogs
person a ate 8 more so 52 hotdogs
and person c ate 10 less than person b so 34 hotdogs
The answer is B. 5.
There are five different types of cross sections of a cone possible.