Answer:
![\huge\boxed{\sf \{(-2,1)\}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Csf%20%5C%7B%28-2%2C1%29%5C%7D%7D)
Step-by-step explanation:
Given equations:
y = x + 3
y = -x - 1
By comparing the above equations, we get:
x + 3 = -x - 1
Add x to both sides
<h3>x + x + 3 = -1 </h3><h3>2x + 3 = -1</h3>
Subtract 3 to both sides
2x = -1 - 3
2x = -4
Divide 2 to both sides
x = -4/2
<h3>x = -2</h3>
Substitute x = -2 in first equation.
y = x + 3
y = -2 + 3
<h3>y = 1</h3>
So,
<h3>Solution Set = {(x,y)}={(-2,1)}</h3>
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
First of all, observe that the graphed function is
.
Now, if we want to shift the graph 4 units up, it means that we want each point on the graph enlarge its y coordinate by 4: we no longer want to associate
![x\mapsto y](https://tex.z-dn.net/?f=x%5Cmapsto%20y)
but
![x\mapsto y+4](https://tex.z-dn.net/?f=x%5Cmapsto%20y%2B4)
And since
, we want to map
![x\mapsto f(x)+4](https://tex.z-dn.net/?f=x%5Cmapsto%20f%28x%29%2B4)
And in our case,
, so the answer is
![\sin(x)+4](https://tex.z-dn.net/?f=%5Csin%28x%29%2B4)
Answer:
Y = 8/3x + -11/3
Step-by-step explanation:
8x - 3y =11
- 8x to both sides
-3y = 11 - 8x
divide by -3
Y = 8/3x + -11/3
This question doesn't say what type of math expression is desired. Given the input data, I've chosen to find Jack's average speed during the 50 meter freestyle:
50 m
------------ = 1.92 m/sec
26 sec
Answer:
Choice B
Step-by-step explanation:
Multiply in table B :)