1. Rate of change is 2/5
2. Rate of change is 1.5
3. Rate of change is -1x
4.Rate of change is 1/4
Answer:
The equation: 2 + 1.75m < 35
Solution: m < 10
Shannon can travel 10 miles or less
Step-by-step explanation:
You add the initial $2 fee plus $1.75 per mile. Since she wants to pay less than 35, the inequality is 2 + 1.75m < 35.
So first, you have to get two of the same variables to cancel out. Let's do this for x. In order for the x's to cancel out, we could multiply the bottom problem by 2.
(2) 3x-6y=24
After multiplying all the numbers by 2, you get the equation 6x-12y=48
The set of equations is now
-6x+2y=12
6x-12y=48
Now you can add them. The x variables cancel out, so you are left with the y variable.
2y+-12y=-10y and 12+48=60
Then you would divide 60 by -10 to get y=-6.
You would plug the answer for y into one of the original equations, lets do the top one. -6x+2y=12 becomes -6x+2(-6)=12
You'd multiply the 2 and -6 to get -12 so the equation is
-6x-12=12
The negative 12 turn positive and you add to both sides to get the -6x alone.
-6x-12=12
+12=12
-6x=24
Then divide 24 by -6
X=4
(-4,-6) is your final answer.
Answer:
AM=6
Step-by-step explanation:
Parallelogram has two equal parallel sides
This implies that PM parallel and equal to ON
Also, MN is parallel and equal to OP
Since the diagonals bisect each other it implies that AM=AO and NP=AP
From the question, AO=6
Therefore,AM=6
What is the median of the data set? <br><br>
{16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15}
RUDIKE [14]
The median is the numeric value separating the higher half of a sample data set from the lower half. The median of a data set can be found by arranging all the values from lowest to highest value and picking the one in the middle. If there is an odd number of data values then the median will be the value in the middle. If there is an even number of data values the median is the mean of the two data values in the middle.
For the data set 16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15 the median is 14.5. It is the mean of 14 and 15 or, (14+15)/2 = 14.5.
