480700. The different combinations of students that could go on the trip with a total of 25 student, but only 18 may go, is 480700.
The key to solve this problem is using the combination formula
. This mean the number of ways to choose a sample of r elements from a set of n distinct objects where order does not matter and replacements are not allowed.
The total of students is n and the only that 18 students may go is r:

Answer:
see explanation
Step-by-step explanation:
In 13 - 17
Consider the factors of the constant term which sum to give the coefficient of the x- term
13
x² - x - 42 = (x - 7)(x + 6)
15
x² + x - 6 = (x + 3)(x - 2)
17
x² - 27x + 50 = (x - 25)(x - 2)
19
r² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
r² - 25
= r² - 5² = (r - 5)(r + 5)
The equation you can use is x + 3x = 428 with x as the number of cheeseburgers and 3x the number of hamburgers
you solve for x and get 4x= 428 and x=107
so 321 hamburgers were sold that day.
Answer:
see the explanation
Step-by-step explanation:
we know that
The y-intercept is the value of the function y when the value of x is equal to zero
Part 1) we have

For x=0
substitute in the linear equation and solve for y


therefore
The y-intercept is the point (0,-6)
Part 2) Find the y-intercept of the function represented in the graph
Looking at the graph
For x=0
Find the value of y in the graph
The value of y is equal to y=1
therefore
The y-intercept is the point (0,1)