Answer:
x = 2.5
Step-by-step explanation:
4( x + 7) = 38
step 1 distribute the 4 to the x and 7
4 * x = 4x
4 * 7 = 28
we now have 4x + 28 = 38
step 2 subtract 28 from each side
28 - 28 cancels out
38 - 28 = 10
we now have 4x = 10
step 3 divide each side by 4
4x / 4 = x
10 / 4 = 2.5
we're left with x = 2.5
Answer:
Step-by-step explanation:
The equation of the table of values given can be written as .
When x = 0,
this corresponds with what we have in the table above.
Let's try another.
When x = 2,
This also corresponds with what we have in the table.
Therefore, the equation of the table given is .
Answer:
y=2x-58
Explanation:
In order to write our point-slope formula (y=mx+C format), we first need to figure out the slope (m). To figure out the slope, we divide the change in y by the change in x between the two points (rise/run). The rise is 30 (2-(-28)) and the run is 15 (30-15). Therefore the slope is 2 (30/15)
This gives us:
y=2x + c
Now to figure out C (which will be the y-intercept of the graph) we substitute in the values from one of the points. So our x=30 and our y=2:
2=2(30) + c
2=60+c
2-60=c
-58=c
So now we know that our C (constant) is - 58.
Hence our point-slope formula is:
y=2x-58
Which you can test with the other point:
-28=2(15) - 58
Hope this helped!
Answer:
296 miles
Step-by-step explanation:
The total distance is the sum of the distance traveled so far and the distance left to go:
167 + 129 = 296
The total distance they must travel is 296 miles.
