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:
2/5 or 2:5
Step-by-step explanation:
Face Card:
The face cards in a deck are the Jack, Queen, and King. There are 4 of each card (1 in each suit), for a total of 12 face cards.
Spade:
1/4 of all the cards in a deck are spades, so 52/4= 13 spades.
When added, the numerator of the probability is 25, however, because the Jack, Queen, and King of Spades are duplicated, we have to subtract 3.
25-3=22
22/55
when simplified: 2/5
Answer:
4(9x^4+1858)
Step-by-step explanation:
36 x^4 + 18^3 + 40^2
36x^4+7432
4(9x^4+1858)
Multiply by the reciprocal by 3 and divide the common denominator by 14
Answer:
$151.80 was the total bill including tip.
Step-by-step explanation:
$126.50 x 20% = $25.30
$126.50 + $25.30 = $151.80
