Answer:
2x -y ≥ 4
Step-by-step explanation:
The intercepts of the boundary line are given, so it is convenient to start with the equation of that line in intercept form:
... x/(x-intercept) + y/(y-intercept) = 1
... x/2 + y/(-4) = 1
Multiplying by 4 gives the equation of the line.
... 2x -y = 4
This line divides the plane into two half-planes. The half-plane that is shaded is the one for larger values of x and/or smaller values of y than the ones on the line. So, for some given y, if we increase x we will get a number from our equation above that is greater than 4. Hence, the inequality we want is ...
... 2x -y ≥ 4
We use the ≥ symbol because the line is solid, so part of the solution space.
27/5 - 10/3
81/15 - 50/15
31/15
2 1/15
Answer:
c
Step-by-step explanation:
4 times 5 is 20 and 20 times 6 is 120
Using an exponential function, it is found that:
a) 
b) 37.5 grams of the gas remains after 3.8 days.
c) The amount remaining will be of 10 grams after approximately 11 days.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
Item a:
We start with 75 grams, and then work with a half-life of 3.8 days, hence the amount after t daus is given by:
Item b:
This is N when t = 3.8, hence:
37.5 grams of the gas remains after 3.8 days.
Item c:
This is t for which N(t) = 10, hence:
The amount remaining will be of 10 grams after approximately 11 days.
More can be learned about exponential functions at brainly.com/question/25537936
9514 1404 393
Answer:
yes
Step-by-step explanation:
A linear function can have its domain restricted to discrete values. The resulting graph will be of points that would lie on a line.
Yes, a discrete graph can be linear.
