The linear inequality in standard form is: x + y < -2 or x + y + 2 < 0
<h3>How to Write a Linear Inequality?</h3>
To determine what sign to use, follow these rules:
- Use "<" or ">" when the boundary line is dotted or dashed.
- Use "<" or "≤" when the shaded area is under the boundary line (dotted or dashed).
- Use "≤" or "≥" when the boundary line is not dotted or dashed.
- Use ">" or "≥" when the shaded area is above the boundary line (dotted or dashed).
The graph given has the following features:
- It has a boundary line that is dotted/dashed.
- It has a shaded area that is under the boundary line.
- Thus, the inequality sign we would use is, "<".
Find the slope:
Slope (m)= rise/run = -(2 units) / (2 units).
Slope (m) = -1.
The y-intercept (b) = -2.
Substitute m = -1 and b = -2 into y < mx + b:
y < (-1)x + (-2)
y < -x - 2
Rewrite
x + y < -2
x + y + 2 < 0
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Answer:
See below
Step-by-step explanation:
-4 (1/3)^(n-1)
Part A
<em><u>For n = 1</u></em>
-4(1/3)^(1 - 1)
-4(1/3)^0 Anything to the 0 power (except 0) is 1
-4 (1)
-4
<em><u>n = 2</u></em>
-4(1/3)^(2 - 1)
-4*(1/3)^1
-4/3
<em><u>n = 3</u></em>
- 4(1/3)^2
-4/9
<em><u>n = 4</u></em>
-4/(1/3)^3
-4 / 27
Part B
The series converges.
1/3 is between -1 <= 1/3 <= 1
Part C
<em><u>Formula</u></em>
Sum = a/(1 - r)
a = - 4
r = 1/3
Sum = -4/(1 - 1/3) = -4//2/3 = - 4/(0.666666666...) = -6
Answer:
58p+15
Step-by-step explanation:
First, we want to get rid of the parentheses in the equation. To do that, let's start with 7(1+10p). We multiply 7 by each item in the parenthesis, and get 7+70p. Keep that little thing in mind, we will use it later. Next, same process with the other part, and we get 8+48p. We multiplied both parts out, so now we just add like terms. 7 and 8 don't have letters, so we add them to get 15. 10p and 48p do have letters, so we add those together and get 58p. We can't add that to the other numbers, because 58p is 58 times p, and 15 doesn't have that p so it wouldn't work without knowing p. What we are left with, by simplifying the problem, is 58p+15, or 15+58p. The order doesn't matter, as long as you have that answer.
Answer:
big poop face looking butt with a massive forehead poopy duck dipers
Step-by-step explanation:
↑∴↔↔⇔⇔³∛÷≈≤≥≥β⇵⊕⊕¬⊕⊕⊕⊕⊕⊕¬∪∪⊥∡∠°∞㏒㏑∡Ф⇒⇒√³π∫↓∵∴∴
and thats why it is big poop face looking butt with a massive forehead poopy duck dipers
Answer:
35.2 ft
Step-by-step explanation:
Multiply the scale factor and the height.
