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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John would e 24 and mark would be 12
There are many I will some
12
18
24
30
36
.......
Answer: 40
Step-by-step explanation:
Number of DVDs = 160
Thrillers = 35%
Comedies = 2/5 = 40%
Science fiction = 100 - (35 + 40) = 100 - 75 = 25%
The number of science fiction DVDs that Rani has will be:
= 25% × 160
= 25/100 × 160
= 40
Answer:
The resulting function after the sequence of transformations is 
Step-by-step explanation:
Given a function f(x)
- the function a*f(x) will be a vertical stretch of factor a, given a > 1
- the function f(x) + b will be the translated function vertically up b units
- the function f(x+c) will be horizontally translated function of the original by c units left
Remembering these points, we can apply the rules to 
.
- Strech vertically by 3 would be
- translate up 1 unit would be
- translate left 2 units would make it
Hence the new function would be
