Using exponential function concepts, it is found that the second function has a greater rate, as 0.8 > 0.2.
<h3>What is an exponential function?</h3>
It is modeled by:
In which:
- a is the initial value, that is, y when x = 0.
- b is the rate of change, as a decimal.
Function 1 is given by:
Hence the rate is b = 0.2.
Considering the values on the table, function 2 is given by:
Hence the rate is b = 0.8.
Hence, the second function has a greater rate, as 0.8 > 0.2.
More can be learned about exponential function concepts at brainly.com/question/14398287
Step-by-step explanation:
Slope (m) =ΔYΔX=12=0.5θ =arctan(ΔY)ΔX=26.565051177078°ΔX = 6 – 4 = 2ΔY = 10 – 9 = 1Distance (d) = √ΔX2 + ΔY2 = √5
= 2.2360679774998
Answer:
f(-1) = 2
Step-by-step explanation:
To evaluate this function at x = -1, replace "x" in the equation with (-1) (you should use the parentheses as indicated here).
f(x)=x²-3x-2 becomes
f(-1)=(-1)² - 3(-1) -2, or
f(-1) = 1 + 3 - 2, or
f(-1) = 2
The best answer to the question that is being stated above would be that A and B are both dependent. If I was told that P(A | B) = P (B | A), then the true statement is that both variables inside would be dependent upon each other, no matter if you exchange their places with one another.
Answer:
420 ways
Step-by-step explanation:
According to the given statement:
We want to divide the 10 dogs into three groups, one with 3 dogs, one with 5 dogs, and one with 2 dogs. How many ways can we form the groups such that fluffy is in the 3-dog group and nipper is in the 5-dog group.
In this way we have 8 dogs left.
2 spaces left in 3 dogs group
4 spaces left in 5 dogs group
and 2 spaces in 2 dogs group
Therefore:
= 8!/2!4!2!
= 8*7*6*5*4*3*2*1/2*4*3*2*2
= 8*7*6*5/2*2
= 1680/4
=420
It means there are 420 ways to from the groups....
