In 5-card poker, a straight is five cards of consecutive denominations (not all the same suit). how many ways are there to get a straight?

Straight in one suit may be such:

A,2,3,4,5
2,3,4,5,6
3,4,5,6,7
4,5,6,7,8
5,6,7,8,9
6,7,8,9,10
7,8,9,10,J
8,9,10,J,Q
9,10,J,Q,K
10,J,Q,K,A,

totally for one suit 10 ways of forming straight. You also have 4 suits (Club, Hearts,...), so you can choose each card from four possible suits and can form 4^5·10=10240 straights in all suits.

10240 ways to get a straight

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote