Answer:
The x-intercept is 4
Step-by-step explanation:
We are given;
The slope of a line as -3/4
y-intercept is 3
We are supposed to determine the x-intercept;
We need to know that;
The slope of a line is given by the ratio of the change in y to the change in x
The coordinates of y-intercept are (0, 3)
Taking the x-intercept as a, then the coordinates of x-intercept is (a, 0)
But;
slope = Δ in y ÷ Δ in x
Therefore;
Solving for a
Therefore, the x-intercept is 4
Answer:
Small rooms=6
large rooms=10
Step-by-step explanation:
Let the number of small rooms be x
given alexander booked 4 more large rooms than the small rooms.
Therefore the number of large numbers be x+4.
Given each small room can accommodate 3 people.Therefore the total number of people in small rooms are 3x
Given each large room can accommodate 4 people. Therefore the total number of people in large rooms are 4(x+4)
Given total number of people accommodated=58
Total number of guests =number of guests in small rooms + number of guests in large rooms
therefore the number of small rooms =6 and number of large rooms =10