The appropriate domain and the range are x > 0 and y > 0, respectively and the speed is 2.5 miles per hour in order to travel 20 miles in 8 hours.
<h3>How to determine the reasonable domain?</h3>
The function is given as:
xy = 20
The value of x and y cannot be negative and they cannot be 0.
This means that the domain and the range are x > 0 and y > 0, respectively
<h3>The graph of the function</h3>
See attachment for the graph of xy = 20
<h3>The estimate of the speed</h3>
We have:
Distance = 20 miles
Time = 8 hours
The speed is calculated as;
Speed = Distance/Time
This gives
Speed = 20/8
Evaluate
Speed = 2.5 miles per hour
Hence, the speed is 2.5 miles per hour in order to travel 20 miles in 8 hours.
Read more about inverse variation at:
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Answer:
y = - 6x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x + 3 ← is in slope- intercept form
with slope m = ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 6, hence
y = - 6x + c ← is the partial equation of the perpendicular line.
To find c substitute (- 3, 23) into the partial equation
23 = 18 + c ⇒ c = 23 - 18 = 5
y = - 6x + 5 ← equation of perpendicular line
Answer:
15y / 8
Step-by-step explanation:
Multiplying by 2 to get the common denominator.
3y / 4 * 2 = 6y / 8
Combine like terms.
6y / 8 + 9y / 8
Final Answer:
15y / 8
Answer:
< - 52, 48 > and 70.77
Step-by-step explanation:
2v - 6u
= 2<- 11, 3 > - 6 < 5, - 7 >
= < - 22, 6 > - < 30, - 42 >
= < - 52, 48 >
| 2v - 6u | =
=
= 70.77