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valentina_108 [34]
4 years ago
11

The graph below shows the solution to which system of inequalities?

Mathematics
1 answer:
Andreyy894 years ago
5 0

Answer:

B

Step-by-step explanation:

The solid red line is y = x + 8 and the dashed line is y = -1/2x. Since the solution is shaded on the left side of y = x + 8 we know that the first part is y ≥ x + 8. We use ≥ and not > because the line is solid, meaning that all points on the line are also solutions to the inequality. The solution is shaded on the right side of y = -1/2x so the second part is y > -1/2x. We use > and not ≥ because the line is dashed, meaning that the points on the line <em>are not</em> solutions to the inequality. Therefore, the answer is y ≥ x + 8 and y > -1/2x.

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What is the product of Three-fourths and Negative StartFraction 6 over 7 EndFraction? -9/14
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Answer:

The product is :  -\frac{9}{14}

Step-by-step explanation:

First term given to us is =  \frac{3}{4}

Second term given to us = -\frac{6}{7}

We have to find product for term 1 and term 2

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-\frac{18}{28}= -\frac{9}{14}

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Step-by-step explanation:

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Match the real-world problem to its constant of proportionality.
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Answer:

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b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 2

Step-by-step explanation:

<u>PROPORTIONALITY:</u>

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k i s called the PROPORTIONALITY CONSTANT.

⇒  x \propto y \implies  k = \frac{x}{y}

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here,k =  \frac{18.36}{3} = 6.12

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b. $4.17 for 3 pounds of bananas [box]

Here,k =  \frac{4.17}{3} = 1.39

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d. 2 cups of flour to make 24 cookies

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So, the proportionality constant is 12

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