Answer:
Volume of cylinder =
Volume of 1 ice cube = 2*2*2= 8cm3
Volume of 3 ice cubes= 3*8= 24cm3
Volume of juice added = 423-24 = 399 cm3
Answer:
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:
f ^-1 (x) = 2x+28
Step-by-step explanation:
f(x) = 1/2x-14
Replace f(x) with y
y = 1/2 x -14
Exchange x and y
x = 1/2 y -14
Solve for y
Add 14 to each side
x+14 = 1/2 y -14+14
x+14 = 1/2 y
Multiply each side by 2
2(x+14)= 1/2 y*2
2x+28 = y
The inverse function is
f ^-1 (x) = 2x+28
