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DanielleElmas [232]
2 years ago
13

Write an inequality for the situation. all real numbers at most –9.5 or at least 5.5

Mathematics
2 answers:
Tomtit [17]2 years ago
8 0
Hello,

If b represents any real number,

b<=-9.5
or
5.5<=b


Answer  C

dexar [7]2 years ago
3 0

Answer:

option (c) is correct.

The given expression all real numbers at most –9.5 or at least 5.5 is written as   b ≤ –9.5  or  b ≥ 5.5

Step-by-step explanation:

Given  expression all real numbers at most –9.5 or at least 5.5

We have to represent the given expression mathematically and choose the correct from given options.

Consider the given expression  all real numbers at most –9.5 or at least 5.5

Let the real number be represented by b

then the given expression contain two terms

1)  all real numbers at most –9.5  

Mathematically written as  b ≤ –9.5    .....(1)

2) all real numbers at least 5.5

Mathematically written as  b ≥ 5.5       ....(2)

Thus, the given expression   all real numbers at most –9.5 or at least 5.5 is written as   b ≤ –9.5  or  b ≥ 5.5

Thus, option (c) is correct.

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Answer:

$29.50

Step-by-step explanation:

First we need to find the tip

tip = pre tax bill * 10 %

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Final bill = pre tax bill + tax + tip

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2 years ago
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Answer:

  A.  (3, 10)

Step-by-step explanation:

You are told that ...

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The cost function for a certain company is C = 20x + 700 and the revenue is given by R = 100x − 0.5x2. Recall that profit is rev
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Answer:

x = 20

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Step-by-step explanation:

Find the equation for profit P

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Substitute the equations for R and C then simplify.

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P = -0.5x² + 80x - 700

Find the values of x when profit is $700

P = -0.5x² + 80x - 700

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0 = -0.5x² + 80x - 1400

This is in the standard form 0 = ax² + bx + c

Use the quadratic formula to find values of x

x = \frac{-b±\sqrt{b^{2}-4ac}  }{2a}

(Ignore Â)

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a = -0.5

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c = -1400

x = \frac{-(80)±\sqrt{80^{2}-4(-0.5)(-1400)}  }{2(-0.5)}

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Split the formula at the ± so that there are two to get the two x values.

x = \frac{-80+60}{-1}

x = \frac{-80-60}{-1}

x = 20

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The profit will be $700 when x is 20 or when x is 140.

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2 years ago
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</span>
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