Answer:
Given the function: y=f(x) = 3x+2
when x=-2 at the beginning of the interval [-2, 5],
then;
y = 3x+2 begins at
y= 3(-2)+2 = -6+2= -4.
and
when x=5 at the end of the interval [-2, 5],
y = 3x+2 ends up at
y= 3(5)+2 = 15+2= 17.
So,
y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21
and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7
So, the average rate of change of y with respect to x over the interval
[-2, 5] is given by ;
=
Therefore, the average rate of change y with respect to x over the interval is, 3
Step-by-step explanation:
Answer: Minimum: 20
Quartile Q1: 23.5
Median: 27
Quartile Q3: 31
Maximum: 35
Step-by-step explanation: The five number summary gives you a rough idea about what your data set looks like. For example, you’ll have your lowest value (the minimum) and the highest value (the maximum) or where data is more concentraced. The main reason you’ll want to find a five-number summary is to find more useful statistics, like the interquartile range IQR, sometimes called the middle fifty.
Answer:yes
Step-by-step explanation:
There is one very important exception to the rule that multiplying or dividing an inequality is the same as multiplying or dividing an equation. Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.
Answer:
hello good morning.have a nice day
Answer:
125 mph
Step-by-step explanation:
This can be calculated as a simple rule of 3.
In rule of 3 problems, you need to first identify the measures and whether they are direct or inverse to each other.
If they are direct to each other, if one value increases the other will increase too. For example, lets suppose that the Buffalo Bills have won 3 of 4 games. When there are 8 games, then will have won 6, keeping this proportion. Here, the measures are the number of games and the number of Buffalo Bills wins.
Now if they are inverse to each other, if one value increases the other will decrease. For example, if you travel at 60 mph, you will need 6 hours to arrive at your destination. At 80 mph, you will need less time. So, a the average speed increases, the time you need will decrease.
In this case the speeds is proportional to the time. So, if the time increases, the speed will increase too. It can be calculated by the following rule of 3.
Speed Time
100 mph - 0.8 seconds
x mph - 1 second
x = 100/0.8 = 125 mph.
