Answer:
yes
Step-by-step explanation:
it is a function. it i think is a linear function
<span>Given that A
dataset shows that, on average, smokers do not live as long as
nonsmokers and heavy smokers do not live as long as light smokers.
If
you compute the least squares line for y = age at time of death and x =
number of packets per day typically smoked, you will notice that as the number of packets per day a person smokes increases, the age at time of death of the person decreases.
Thus, the graph wil have a negative slope.
Therefore, the slope of your
regression line will be less than 0.</span>
Answer:
The function of height has a maximum value.
Step-by-step explanation:
Maximum or Minimum:
A given function f(x).
- Find out f'(x) and f''(x)
- Then set f'(x)=0 which gives x=a.
- f''(a) > 0 , then at x=a , f(x) has minimum value.
- If f''(a)<0 , then at x=a, f(x) has maximum value.
Given that, a baseball is thrown with with an velocity of 32 feet per second.
The equation of height is
![h=-16t^2+32t](https://tex.z-dn.net/?f=h%3D-16t%5E2%2B32t)
Differentiating with respect to t
![h'=-32 t+32](https://tex.z-dn.net/?f=h%27%3D-32%20t%2B32)
Again differentiating with respect to t
![h''=-32](https://tex.z-dn.net/?f=h%27%27%3D-32)
Next, we set h'=0
![-32 t+32=0](https://tex.z-dn.net/?f=-32%20t%2B32%3D0)
![\Rightarrow 32t=32](https://tex.z-dn.net/?f=%5CRightarrow%2032t%3D32)
![\Rightarrow t=1](https://tex.z-dn.net/?f=%5CRightarrow%20t%3D1)
Now ![h''|_{t=1}=-32](https://tex.z-dn.net/?f=h%27%27%7C_%7Bt%3D1%7D%3D-32%3C0)
Since at t=1, h''<0.
The function of height has a maximum value.
The maximum of h is = -16.(1)²+32
= -16+32
=16 feet
You would divide 973 by 2 and your answer would be 486.5
Answer:
Let the larger number = y and the smaller number = x.
The largest number is 10 less than twice the smaller number. Remember that less than means subtract the 10 from the other amount while twice means multiply by two. Therefore,
y = 2x - 10
The sum of the two numbers is 38. Remember sum means add the two numbers to get their result. Therefore,
x + y = 38
Since y = 2x - 10, we rewrite the lower equation as:
x + (2x - 10) = 38
Solving:
3x - 10 = 38
3x = 48
x = 16
The lesser number is 16 and the greater number is 2(16) - 10 or 22.