Answer:
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
Step-by-step explanation:
We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.
We're given the slope, (1/2) which we can use for m:
y = (1/2)x + b
We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:
x = 5, and y= -1
y = (1/2)x + b
-1 = (1/2)*5 + b
-1 = (2.5) + b
- 3.5 = b
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
See the attached image.
Answer:
x = 1 and x = 
Step-by-step explanation:
In this equation, a=5, b=-1, c=-4.
Plug these into the quadratic formula:
x =
and x = 
Now, simplify the equations:
x =
=
=
= 1
and
x =
=
=
= 
9514 1404 393
Answer:
Yes, these rates are equivalent because the unit rate of 6 laps per minute matches each rate.
Step-by-step explanation:
In each case we have ...
laps/minutes = (42 laps)/(7 minutes) = 6 laps/minute = (48 laps)/(8 minutes)
Yes, the rates are both 6 laps/min, so are equivalent.