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vfiekz [6]
2 years ago
6

if the slopes of the lines in the system are equal and their y-intercepts are also equal, then the system is blank and blank

Mathematics
1 answer:
Tems11 [23]2 years ago
6 0

Answer:

Step-by-step explanation:

same slope and same y-intercept = dependent system and represent the same line.

I'm not sure if those are words they want you use, as you didn't provide the answer choices.

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In a causal-comparative study, what is the difference between independent variables and dependent variables? independent variabl
AlladinOne [14]

Answer: independent variables cause the effect measured in the dependent variables

Step-by-step explanation: In a causal - comparative study, the dependent variables refers to the variable whose changes is being measured or observed. The changes or alteration of the dependent variable is induced by the different values of the independent variable. In causal - comparative study, the different independent variables is assumed to have a direct impact on the output or values of the dependent variable which is measured by the experimenter. Therefore, the independent variable does not change, but causes the observed changes noticed in the dependent variable.

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The function c(x)=35x+75 r
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3 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
8. The product of 5, and 3 more than twice a number,<br> is 85. What is the number?
Zolol [24]

Answer:

Step-by-step explanation:

5(2x+3) = 85

10x + 15 = 85

x = (85 - 15)/10

x = 7

6 0
3 years ago
Which of the following can be represented by the expression 2 ➗ (1/3)? a. Faye has 2 yards of twine and uses (1/3) yard to tie a
GREYUIT [131]

Answer: C. She is dividing the entire length into shorter lengths.

The rest of the question would be "How many pieces will she get?"

Step-by-step explanation:

A would be a subtraction problem UNLESS it goes on to ask "how many 1/3 yard pieces can she cut?"

It's a subtraction problem if it's about "how many yards are left?"

B is just backwards and makes no sense with the expression given.

7 0
3 years ago
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