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Sophie [7]
4 years ago
12

Write the linear inequality shown in the graph. The gray area represents the shaded region.

Mathematics
2 answers:
Katarina [22]4 years ago
7 0

Answer:

D

Step-by-step explanation:

find the slope (-3,1), and see the shaded region for if it's over or under the line

AleksandrR [38]4 years ago
4 0

Answer:

Option D, y \leq -3x+4

Step-by-step explanation:

<u>Step 1:  Find the y-int</u>

The value of y when x is 0:  4 -> This is the b for y = mx + b

y = mx + 4

<u>Step 2:  Find the slope</u>

Since the line is facing in a negative direction, that means that it is negative.  Also the slope is -3.

y = -3x + 4

<u>Step 3:  Find the shaded region</u>

Since the shaded region is below/before the line, that makes this inequality:  y \leq -3x+4

Answer:  Option D, y \leq -3x+4

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Answer:

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Step-by-step explanation:

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3 years ago
3. Mrs.Galicia bought 3 tacos and 2 sodas and paid $9.75. The next day she went back and bought 5 tacos and 1 soda and paid $12.
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Answer:

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b) The cost of 1 soda =  $1. 5

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Step-by-step explanation:

Let the cost of each taco = $x

Let the cost of each soda  = $y

Now, according to the question:

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5x + y = $12.75  are the required system of equations.

Now, substituting the value of y = 12.75 - 5x  in (1).

⇒The equation 3x + 2y  = 9.75 becomes 3x + 2(12.75 -5x)  = 9.75

or, 3x - 10x + 25.5  = 9.75

or, -7x = -15.75

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Hence, the cost of 1 taco = $x = $2.25

Now, y =  12.75 - 5x

 = 12.75 - 5(2.25) = 12.75 - 11.25   = = 1.5

or, y =  $1.5.

Hence, the cost of 1 soda =  $y = $1.5

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