Answer: The process to create linear equation is given below.
Case 1: When 2 data points are given.
Let the two data ints be and .
Then the linear equation is defined by the formula,
..... (1)
For example: Let the two points be (2,-1) and (-4,2). Then we get,
Case 2: When the initial value and rate of change is given.
Let the initial value be and slope is m. The rate of change is know as slope.
Then the linear equation is defined by the formula,
..... (2)
For example: Let the initial point be (4,5) and rate of change is 2. Then we get,
Hence, the equation (1) and (2) are the formula to create a linear equation.
1 Subtract
9
y
9y from both sides
4
x
=
6
3
−
9
y
4x=63−9y
2 Divide both sides by
4
4
x
=
6
3
−
9
y
4
x=
4
63−9y
3 Factor out the common term
9
9
x
=
9
(
7
−
y
)
4
x=
4
9(7−y)
Done
-4x + 35 > 2
Subtract 35 from both sides:
-4x> -33
Divide both sides by -4:
X > -33 s -4
Because you are dividing the inequality. Y a negative value, reverse the inequality sign.
X < 33/4
Answer:
<u>The average speed coming home was 63.27 miles per hour</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Speed from home to Maine = 58 miles per hour
Time of the first leg of the trip = 3 hours or 180 minutes
Time of the second leg of the trip = 15 minutes less = 180 - 15 = 165 minutes or 2 hours 45 minutes
2. What was my average speed coming home?
Let's calculate the distance from home to Maine, this way:
Speed = Distance/Time
Distance = Speed * Time
Distance = 58 * 3 = 174 miles
Now, let's calculate the speed of the second leg, as follows:
Speed = Distance/Time
2 hours 45 minutes = 2.75
Speed = 174/2.75
<u>Speed = 63.27 miles per hour</u>
Check the picture below.
notice, the parent function is really f(x) = |x|, and the other are simply just vertical translations of it.