Answer:
The constant of porportionality is k = 12.5; the equation that describes the relationship is y = 12.5x.
Step-by-step explanation:
When you divide the miles by the hours, it's always 12.5, meaning that k must be 12.5.
If x is the hours and k is 12.5, the equation that describes the relationship is y = 12.5x.
Answer:
Step-by-step explanation:
There are two ways to go about solving this problem, depending on your available time and fluency with the topic:
Solve it “properly”, by graphing the inequalities yourself, then comparing your graph to the available options.
Use the test-taking strategies of “ruling out answers that are clearly wrong”, followed by “use enough of what you know about the problem to select the correct answer.
Let’s walk through both, since you should be able to do both, as this problem looks very much like a practice problem for a standardized Algebra 1 test.
So! To graph a linear inequality, the steps include graphing the line, determining what type of line, and determining how it’s shaded, though the order of these steps is only important if you’re doing math in pen, which is a terrible idea.
The first inequality:
Step-by-step explanation:
We have the original equation n ^ 2 + 5 * n - 24, when factoring we have:
(n + 8) * (n - 3)
Now by replacing the values:
n = 0
0 ^ 2 + 5 * 0 - 24 = - 24
(0 + 8) * (0 - 3) = - 24
n = 1
1 ^ 2 + 1 * 0 - 24 = - 18
(1 + 8) * (1 - 3) = -18
n = 2
2 ^ 2 + 5 * 2 - 24 = - 10
(2 + 8) * (2 - 3) = - 10
n = 3
3 ^ 2 + 5 * 3 - 24 = 0
(3 + 8) * (3 - 3) = 0
n = 4
4 ^ 2 + 5 * 4 - 24 = 12
(4 + 8) * (4 - 3) = 12
The answer should be -3 you just subtract it
3C + 5A = 115
C + A = 33
A = 33 - C
3C + 5(33-C) = 115
3C + 165 - 5C = 115
-2C = -50
C=25
25+A=33
A=8
C=25, A=8
