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VikaD [51]
3 years ago
10

When graphing a linear inequality, when can you NOT use (0, 0) as a test point to determine which side of a boundary line to sha

de?
When the point (0, 0) is on the boundary line.
When the point (0, 0) is below the boundary line.
When the point (0, 0) is above the boundary line.
When the point (0, 0) is part of the solution.
Mathematics
2 answers:
TEA [102]3 years ago
8 0
When the point (0,0) is on the boundary line
Georgia [21]3 years ago
6 0

Answer:

1. When the point (0, 0) is on the boundary line.

Step-by-step explanation:

We know that,

<em>'Zero Test'</em><em> states that 'After substituting the point (0,0) in the inequality, if the result is true, then the solution region is towards the origin. If the result is false, then the solution region is away from the origin'.</em>

So, we see that,

This test holds only if the point (0,0) does not lie on the boundary line of the inequality.

Since, then the expression 'towards the origin and away from the origin' will not make sense.

Hence, (0,0) cannot be used as test point if it lies on the boundary line.

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1. Jemima wants to make chocolate chip walnut brownles. Chocolate chips come in a 12oz bag that costs $3. Walnuts
fomenos

Answer:

4 bags of chocolate chips and 1 bag of walnuts.

Step-by-step explanation:

Find how many ounces are in 3 pounds:

16 oz = 1 lb

16 oz × 3 = 3 lbs

48 oz = 3 lbs

Variable x = number of chocolate chips

Variable y = number of walnuts

4x + 1y = 15

Keep in mind it must equal up to 48 oz and be $15 or under.

4 bags × 12 oz = 48 oz

1 bag × 4 oz = 4 oz

48 oz + 4 oz = 52 oz > 48 oz

4 bags × $3 = $12

1 bag × $2 = $2

$12 + $2 = $14 < $15

Both requirements have been met.

7 0
2 years ago
In a direct variation, the ratio of y -values to x -values is equal to a constant.
liberstina [14]

Answer:

True

Step-by-step explanation:

The equation of direct variation is

y = kx ← k is the constant of variation

To find k divide both sides by x

\frac{y}{x} = k

That is the constant is the ratio of y- values to x- values

3 0
3 years ago
Carlos is arranging books on shelves. He has 56 novels and 16 autobiographies. Each shelf will have the
labwork [276]

Answer:

72

Step-by-step explanation:

it would be 72 because your adding 56+16 and that equals 72 numbers he will use

8 0
3 years ago
1 If 2x+2 = 32, then x =​
VashaNatasha [74]
The answer would be x=15
5 0
3 years ago
If QR=PQ , RS=PQ and QR is 2x+5 and RS is 10-3x Solve for x using the given information
AfilCa [17]

Answer:

x = 1

Step-by-step explanation:

2x + 5 = 10 - 3x

2x + 3x = 10 - 5

5x = 5

x = 1

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3 years ago
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