Answer:
(x,y)=-(1,1)
Step-by-step explanation:
-2x=8-6y (divide by -2)
=> x=-4+3y
-15x=21-6y (divide by -3 for simplicity)
=>5x=-7+2y
We know that x=-4+3y, insert this into expression "5x=-7+2y"
5(-4+3y)=-7+2y
-20+15y=-7+2y
15y-2y=20-7
13y=13
y=1
Since x=-4+3y we can find x by using y=-1
x=-4+3(1)
x=-1
Answer:
x=3 and y=2
Step-by-step explanation:
1.) 4x+3(5x-13)=18
expand into 4x+15x-39=18
18+39= 57
15x+4x= 19x
57/19= 3 so x=3
substitute 3 into y= 5x - 13
and you get 2 so y=2
Answer:
1. predicted attendance: 141.35
2. residual: 18.65
Step-by-step explanation:
1. Predicted attendance is ...
y = -5.9·5 +170.85 = 141.35
__
2. As the problem statement tells you, ...
actual value - predicted value = residual
160 - 141.35 = 18.65 . . . the residual
Answer:
f(g(5)) = 11
Step-by-step explanation:
- f(x) = x - 2
- g(x) = 3x - 2
The composite function f(g(5)) is found by plugging g(5) for x into f(x).
Let's find g(5) first.
- g(5) = 3(5) - 2
- g(5) = 15 - 2
- g(5) = 13
Next, plug this value for x into f(x).
- f(13) = (13) - 2
- f(13) = 11
∴ <u>f(g(5)) = 11</u>.