Answer:
y= -2x+9
Step-by-step explanation:
First of all, since they need to be parallel, they must have the same slope to never intercept. Next, you can use a graphing calculator to test y-intercepts like desmos. You will find that 9 works, as it goes through (4,1) and never intercepts with the 1st line.
Answer: D
Step-by-step explanation:
D
Work is shown (^_^)
Did #9-10 also
3) 3p -2 = -29 Isolate 3
3p= -29+2
3p= -27 Divide by 3
p = -9
4) 1- r = -5 Isolate r
-r= -5-1
-r= -6 Multiply by -1
r= 6
5) k-10/2 = -7 Multiply by 2
k-10= 2(-7)
k-10= -14
k=-14+10
k=-4
See attached file for #6-10
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Answer:
450 students
Step-by-step explanation:
Let s = number of students
1/2 are Americans 1/2s are Americans
s -1/2s = number of students left
1/2 s = number of students left
1/3 of the students left are Europeans
1/3 (1/2s) = 1/6s are Europeans
The rest are Australians = 150
Students = Americans + Europeans + Australians
s = 1/2s + 1/6s + 150
Combine like terms
s = 1/2*3/3 *s + 1/6s +150
s = 3/6s + 1/6s +150
s = 4/6s + 150
Subtract 4/6s from each side
s -4/6s = 150
6/6s - 4/6s = 150
2/6s = 150
1/3s = 150
Multiply each side by 3
3* 1/3s = 150*3
s = 450
There are 450 students
