Answer:
B. f(x) = 3x + 26;26≤ y ≤ 35
Step-by-step explanation:
This would be a linear equation in the form
y= mx+b
where b is the initial value (or 26 clients)
m is the slope, or the amount they want to increase by each week
y = 3x+26
Let x =0
y = 26 or what we start with
Let x =3, or be week 4 (we started with x= 0)
y = 3*3 +26
y =9+26
y= 35
x=-b-d/c-2a (the "/" is a fraction bar)
Hello:
<span>f(x)=12-3x
</span>f(-4) = 12-3(-4) = 24
f(-2) = 12-3(-2) = 18
f(0) =12-3(0) = 12
f(2) = 12-3(2) = 6
f(4) =12-3(4) = 0
the range is : {0,6,12,18,24}
Answer:
![V=1101cm^3](https://tex.z-dn.net/?f=V%3D1101cm%5E3)
Step-by-step explanation:
You are given this data:
![\left[\begin{array}{cccccccccccc}long&0&1.5&3&4.5&6&7.5&9&10.5&12&13.5&15&&\\Area&0&18&59&78&93&105&118&128&63&38&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccccccccc%7Dlong%260%261.5%263%264.5%266%267.5%269%2610.5%2612%2613.5%2615%26%26%5C%5CArea%260%2618%2659%2678%2693%26105%26118%26128%2663%2638%260%5Cend%7Barray%7D%5Cright%5D)
First, calculate the x points by dividing the total length in 5:
![\Delta{x}=\frac{l_f-l_0}{5}= \frac{15-0}{5}= 3](https://tex.z-dn.net/?f=%5CDelta%7Bx%7D%3D%5Cfrac%7Bl_f-l_0%7D%7B5%7D%3D%20%5Cfrac%7B15-0%7D%7B5%7D%3D%203)
x=3,6,9,12,15
Now you calculate the half point of the x axis intervals you just calculated:
![x_h=1.5,4.5,7.5,10.5,13.5](https://tex.z-dn.net/?f=x_h%3D1.5%2C4.5%2C7.5%2C10.5%2C13.5)
and find the function values of each of them (the Area for each cut):
A(1.5) = 18
A(4.5)=78
A(7.5)=105
A(10.5)=128
A(13.5)=38
Now you have formed the rectangles (see diagram below).
To calculate the volume, just use the next equation given by the midpoint rule:
![V=\Delta{x}\sum_1^5{h_{rectangle}}\\V=3\sum(18, 78, 105, 128, 38)\\V=3(367)\\V=1101cm^3](https://tex.z-dn.net/?f=V%3D%5CDelta%7Bx%7D%5Csum_1%5E5%7Bh_%7Brectangle%7D%7D%5C%5CV%3D3%5Csum%2818%2C%2078%2C%20105%2C%20128%2C%2038%29%5C%5CV%3D3%28367%29%5C%5CV%3D1101cm%5E3)
Answer:Plug it into demos and base your own graph off of the one that they give you.
Step-by-step explanation: