The graph is the space between (and including) the lines
... 5x + y = -1
... 5x + y = 11
Fails the vertical line test at 2,3 and -1, 3
in return it is not a function
Answer: $13.95
Step-by-step explanation:
1/4 of a Dollar is 25 cents
4/5 of a Dollar is 80 cents
30 - 10.25 = 19.75
19.75 - 5.80 = 13.95
David has $13.95 to spend of Gift C
Answer:
- Inverse Variation
- Equation: 
Step-by-step explanation:
Given
X-> 2 | 4 | 8 | 12
Y-> 6 | 3 | 3/2 | 1
Required
- State the type of variation the table represents
- Determine the equation to model the data
To check for type of variation; we'll make use of trial by error method.
To start with; We'll check for direct variation.
This is done using the following expression;
where k is the constant of variation
Make k the subject of formula

When Y = 6, X= 2

When Y = 3, X = 4

There's no need to check further as both values of k are not equal
To check for inverse variation;

Make k the subject of formula

When Y = 6, X= 2

When Y = 3, X = 4

When Y = 3/2; X = 8

When Y = 1, X = 12

Note that for all values of X and Y, K remains constant;
Hence, the table represents an inverse direction
To determine the equation;
We make use of 
Substitute 12 for k
So, the equation becomes

Reorder

Hence, the equation is 
<h3>
Answer: x < 1/2</h3>
This is the same as saying x < 0.5 since 1/2 = 0.5
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Work Shown:
2(1-x) > 2x
2*1 + 2*(-x) > 2x ..... distribute
2 - 2x > 2x
2 > 2x+2x .... adding 2x to both sides
2 > 4x
4x < 2 ..... flip both sides; flip the inequality sign
x < 2/4 ..... dividing both sides by 4; see note below
x < 1/2
Note: We do not flip the inequality sign here because we are dividing both sides by a positive value. The inequality sign would only flip if you divide both sides by a negative number.