The linear inequality is
16S + 10T ≤ 100
T = Number of t-shirts
S = Number of shorts
For 2 shorts,
32 + 19T ≤ 100.
<h3>What is inequality?</h3>
It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Cost of shorts = $16
Cost of t-shirts = $10
Total amount to spend = $100
Number of shorts to purchase = S
Number of t-shirts to purchase = T
The linear inequality is given as:
16S + 10T ≤ 100
Since S = 2,
16 x 2 + 10T ≤ 100
32 + 10T ≤ 100
10T ≤ 100 - 32
1OT ≤ 68
T ≤ 6.8
This means he can buy 6 or less than 6 t-shirts.
Thus,
The linear inequality is
16S + 10T ≤ 100
T = Number of t-shirts
S = Number of shorts
For 2 shorts,
32 + 19T ≤ 100.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ1
(2*8 - 1) / 5 = (16 - 1) / 5 = 15/5 = 3
Answer:
Step-by-step explanation:
We are to integrate the function
from 0 to b for different ascending values of x.
![\int e^-0.00001x = -10^5 e^-0.00001x](https://tex.z-dn.net/?f=%5Cint%20e%5E-0.00001x%20%3D%20-10%5E5%20e%5E-0.00001x)
Now we substitute the limits
When b =10
I = integral value = ![-10^5 e^-0.00001*10](https://tex.z-dn.net/?f=-10%5E5%20e%5E-0.00001%2A10)
b =50, I = ![-10^5(e^-0.00001*50-1)](https://tex.z-dn.net/?f=-10%5E5%28e%5E-0.00001%2A50-1%29)
b =100, I = ![-10^5( e^-0.00001*100-1)](https://tex.z-dn.net/?f=-10%5E5%28%20e%5E-0.00001%2A100-1%29)
b =1000 I= ![-10^5 (e^-0.00001*1000-1)](https://tex.z-dn.net/?f=-10%5E5%20%28e%5E-0.00001%2A1000-1%29)
b) As b increases exponent increases in negative, or denominator increases hence when b becomes large this will be a decreasing sequence hence converges
c) Converges to
=10^5
The slope intercept form is first y = mx + b, and once you use algebraic to get that you'd find that the slope intercept form of that equation is y = -3/2x + 2.
The answer to your question is 5.875