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DanielleElmas [232]
3 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]3 years ago
8 0
Hello,

If b represents any real number,

b<=-9.5
or
5.5<=b


Answer  C

dexar [7]3 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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CaHeK987 [17]
Answer: 17

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2 years ago
Keith exercises x hours a week. Troy exercises three hours less than Keith and Joe exercises two times more than Troy. Which exp
umka21 [38]
If Keith is represented by x, and Joe is three less than Keith, Troy is represented by x-3. 
Then, we know that Joe exercises for twice the amount of time as Troy, we multiply the expression for Joe by two. 

Keith = x
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4 0
3 years ago
A certain fraction is greater than 2. The denominator is 8. What must be true about the numerator?
Volgvan

Answer:

The numerator must be greater than 16

Step-by-step explanation:

We are told that a certain fraction is greater than 2. Thus, if the numerator and denominator are x and y respectively, then we have;

x/y > 2

We are further told that the denominator is 8.

Thus;

x/8 > 2

Multiply both sides by 8 to give;

x > 16

Thus,the numerator must be greater than 16.

5 0
2 years ago
A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate off
GuDViN [60]

Correct question is;

A manufacturer has been selling 1400 television sets a week at $450 each. A market survey indicates that for each $21 rebate offered to a buyer, the number of sets sold will increase by 210 per week

A) Find the demand function (price p as a function of units sold x).

p(x)=______

(B) How large a rebate should the company offer the buyer in order to maximize its revenue?

$=_____

Answer:

A) p(x) = (-1/10)x + 590

B) Rebate = $170

Step-by-step explanation:

A) We are told that p(x) is the demand function and x is the number of TV sets sold per week.

Now, since for each $21 rebate offered, the number of sets sold increases by 210 per week, it means that the slope here of this demand function is; m = -21/210 = -1/10

Now, he has been selling 1400 TV sets a week at $450 each. This means; p(1400) = $450

Thus, the demand function will be;

p(x) - 450 = (-1/10)(x - 1400)

Expanding the RHS;

p(x) - 450 = (-1/10)x + 140

Add 450 to both sides to get;

p(x) = (-1/10)x + 140 + 450

p(x) = (-1/10)x + 590

B) Formula for revenue is;

R = price × quantity sold

Our demand function is p = (-1/10)x + 590

Making x the subject, we have;

x = 5900 - 10p

x is quantity sold.

Thus,

R = p(5900 - 10p)

R = 5900p - 10p²

Maximum price will occur at dR/dP = 0

Thus;

dR/dP = 5900 - 20p

At dR/dP = 0,we have;

20p = 5900

p = 5900/20

p = $280

Thus, rebate = 450 - 280 = $170

6 0
2 years ago
Plz help fast!
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A scatter plot matrix shows all pairwise scatter plots for many variables. If the variables tend to increase and decrease together, the association is positive. If one variable tends to increase as the other decreases, the association is negative, I hope this helps

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