Answer:
The correct option is 3. The rate of change in the function 
is less than the rate of change of the function represented in the table.
Step-by-step explanation:
The given table represents a function.
Choose any two points from the table. The two points are (0,-5) and (2,1).
Slope of a line is
Slope of the function that is represented by the table, is
Therefore the rate of change of function is 3.
The given function is
It is a slope intercept form of a line.
Where m is the slope and b is y-intercept.
Therefore the slope of the given function is 1.
Since 1<3, therefore rate of change in the function is less than the rate of change of the function represented in the table. Option 3 is correct.
To get the number of members between 15 years and 30 years we proceed as follows:
z=(x-μ)/σ
where:
mean,μ=23
standard deviation, σ=4 years
thus
P(15<x<31)
when x=15
P(x<15)
z=(15-23)/4
z=-2
thus
P(x<15)=P(z<-2)=0.0228
when x=31
z=(31-23)/4
z=2
thus
P(x<31)=P(z<2)=0.9772
Hence:
P(15<x<31)=0.9544
hence the number of members between that age was:
0.9544×300
=286.32 people
~285 People
Answer: 285 people
The formula for finding the distance between points is √(x-x₁)²+(y-y₁)²
x=0, y=6, x₁=5, y₁=12
√(0-5)²+(6-12)²
√(-5)²+(-6)²
√25+36
√61 is irrational
7.81 points(rounded to nearest hundredth) is the distance between those two points.
The percentage increase of the value of Tessa's stock is 21%.
<h3>Percentage increase</h3>
Using this formula
Percentage increase=Current stock worth-Old stock worth/Old stock worth
Where:
Current stock worth=$297.66
Old stock worth=$246.00
Let plug in the formula
Percentage increase=$297.66 - $246.00 / 246.00 × 100
Percentage increase=$51.66/ 246.00 × 100
Percentage increase=21%
Inconclusion the percentage increase of the value of Tessa's stock is 21%.
Learn more about percentage increase here:brainly.com/question/11360390
Answer:
x = 7/3
Step-by-step explanation:
4x - 2 = x + 3 + 2
4x - 2 = x + 5
Rearranging the terms, we get,
4x - x = 5 + 2
3x = 7
x = 7/3
Hence, x = 7/3.
