For this case we have the following inequality: y < 3x + 1 < br/ >
What we must do is to evaluate a point of the Cartesian plane and verify if it is in the shaded region.
The shaded region represents the solution of the system of equations.
For the point (0, 0) we have:
0 < 3(0) + 1 < br / >
0 < 0 + 1 < br / >
0 < 1 < br / >
Therefore, the point (0, 0) is in the shaded region because it satisfies the inequality.
Then, the points that are on the line, are not part of the solution because the sign is of less strict.
Hope I helped ~~Laurel
Y intercept: 0,-15 or just -15
Slope: 9
Answer: 10/117
Step-by-step explanation:
3 distinct letters and 4 distinct nonzero digits
For letters: A → Z = 26 options
For numbers: 1 → 9 = 9 options
As we have 26 options for letters and 9 for numbers and they have to be distinct, for the total of codes we have
Total of codes: 26.25.24.9.8.7.6
For the particular code asked, we have 5 options of vowels and 4 options of even numbers, so
5.25.24.8.7.6.4
probability: <u>5.25.24.8.7.6.4</u> = <u>10</u>
26.25.24.9.8.7.6 117
Answer:
The formula to determine the population of penguins at the end of the 7th year is:
Step-by-step explanation:
With this information, we know that the initial population at end of year 0 is 1000 penguins.
The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.
We can then model the population for the end of year 1 as:
As this dynamic will continue with the years, we can generalize as:
Then, the value of the population at the end of the 7th year should be:
