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: Option E is the correct answer; (1 + p⁴) / (1 + p³)
Step-by-step explanation:
P (3 head) = P(first and 3 heads) + P(second coin and 3 heads)
= (1/2)×1³ + (1/2)× p³ = (1/2) × (1 + p³)
therefore P(first coin given 3 heads) = (1/2)×1³/ ((1/2)×(1 + p³))
= 1 / (1 + p³)
Also P( second coin given 3 heads) = p³ /(1 + p³)
therefore P(4th toss in heads given first 3 are heads) will be;
= P(first and 4th toss heads) + P(second and 4th toss heads)
=(1/( 1 + p³ )) × 1 + p³ / (1+p³) × p
= (1 + p⁴) / (1 + p³)
Therefore Option E is the correct answer
In this situation, the -$55 represents the debt of $55,
since this happens when Miguel does not have enough money in his account to
cover payments or transactions. On Thursday, he has a debt of more than $55. The
explanation behind this is if an account balance is less than -55 dollars, it exemplifies
a debt bigger than 55 dollars.
There are an infinite number of such subsets. One of them is the set of real numbers in the interval (7, 8). Perhaps you're thinking "irrational" numbers, as opposed to "integers" or "rational" numbers.
Answer:
C.
Step-by-step explanation:
1 -3
2 -5
3 -7
4 -9
Because it has a constant slope it is increasing x by 1 and decreasing y by -2.
Slope: -2/1 or -2x
