Add -5 to each side of the inequality:
-3 ≤ x + 5 ≤ 8
-3 - 5 ≤ x + 5 - 5 ≤ 8 - 5
-8 ≤ x ≤ 3
Since x is an integer, there are 12 possible solutions belonging to {-8, -7, ..., 1, 2, 3}. In the sum of these solutions, the integers -3 to 3 cancel out, and the rest give
-8 - 7 - 6 - 5 - 4 = -30
Answer:
y = x / 7
Step-by-step explanation:
For us to get direct variation equation, we must introduce a constant term.
If y varies directly as x:
y ~ x
y = Kx
Where K, is the introduced constant.
Now let's solve to get a direct variation equation.
When y=3 , x=21
We substitute, y=3 and x=21 in the
y = Kx
3 = K 21
Divide both sides by 21
3 / 21 = K 21/ 21
K = 3/21
K = 1 / 7
Therefore, we introduce K = 1 / 7 into the mother equation.
y = 1/7 * x
y = x / 7
The direct variation equation for the situation:
y = x / 7
Answer:
C
Step-by-step explanation:
Asymptote is basically a line that the graph approaches but NEVER cuts/crosses.
<em><u>Remember, x = a where a is a constant is an equation of a vertical line and x = b, where b is a constant, is the equation of a horizontal line.</u></em>
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- Looking at the graph, we can see that the curve doesn't cross an imaginary line at x = 0, this is a vertical asymptote.
- Also, we can see that the curve doesn't cross an imaginary line at y = -2, this is a horizontal asymptote.
Looking at the answer choices, the choice C is right.
