Answer:
y=1/2x+4
Step-by-step explanation:
to find the slope you need to know the change in y over the change in x
(0,4) and (8,8)
8-4/8-0
slope is 1/2
We know: The total number of tickets is 35. Another way of saying this is the number of adults plus the number of children equals 35. i.e.:
Using the symbols provided we can write this is as:
We also know: The total money collected is $75. We know that $6 was collected for every adult or
and $1 for every child or
. i.e.:
Using the symbols provided and adding it all up we can write this is as:
Equation 1:
Equation 2:
Answer:
20, 4
Step-by-step explanation:
Let's assume total number of students registered is n
Last week n/4 people are absent
so people present are n - n/4 = <u>3n/4</u>
Today after return of Jen 1/5 n are absent
so people present are n - n/5 = 4n/5
which is also equal to last week present people + 1 (Jen)
= 3n/4 + 1
= (3n + 4) / 4
so (3n + 4) / 4 = 4n/5
=> 3n + 4 = 4n/5 * 4
=> (3n + 4) * 5 = 16n
=> 15n + 20 = 16n
=> 20 = n
=> n = 20
So total students registered for class is 20
today no of people absent = n/5 = 20/5 = 4
Answer:
(a) (-1/4,0)
(b) k = (10-c)/2
Step-by-step explanation:
(a) A point passing through the y-axis is the same as finding the y-intercept.
[Move terms to right-hand side; y = mx + b form]
y = 4x + 1
[Find x, when y = 0]
0 = 4x + 1
-1 = 4x
-1/4 = x
At x = -1/4, y = 0 therefore the point: (-1/4,0) crosses the y-axis.
(b) To find the value of k in (k,10), we need to find x. Given y= 10 x=k c=constant
[Find x by plugging in known values]
Using y = 2x + c,
10 = 2k + c
10 - c = 2k
(10-c)/2 = k
