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gayaneshka [121]
3 years ago
7

(4,7) y=3x+6 write an equation passing through the point and parallel to the given line

Mathematics
1 answer:
Elis [28]3 years ago
4 0

So, we will be using point-slope form to construct this equation.


Point-slope form's general formula is as follows:

Y-Y_1=m(X-X_1)

M is the slope,

Y₁ is the Y-coordinate of the point

X₁ is the X- coordinate of the point.


So, our slope is 3 (since the equation is given in slope-intercept form)

Our Y₁ is 7 and out X₁ is 4


So, now we just plug our numbers into the equation.

Y-7 = 3(X-4)


There's your equation.


Hope this helps!

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Zinaida [17]

Answer: Slope = 2; 3-intercept=-1

Step-by-step explanation:

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True or false the values [x] and [-x] are always equal
RoseWind [281]

Answer:

If you mean |x| and |-x| yes they are equal.

Step-by-step explanation:

Brackets do not exactly specify the meaning of absolute value.

On most keyboards, above the enter button on the main keyboard part (not the keypad one) there is a back slash symbol \ and if you hold shift, there might be another symbol | which more accurately represents absolute value,

If you aren't talking about the absolute value, then no.

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3 years ago
Why is the point (12, 780) significant on the graph of the functions representing these three salesmen? Use complete sentences t
patriot [66]

Answer:

Hope this helps 0>0

Step-by-step explanation:

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x.  We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

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4 0
3 years ago
Read 2 more answers
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

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2 years ago
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Pepsi [2]

Answer:

Where is the rest of this Question???

Step-by-step explanation:

4 0
3 years ago
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