1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dmitry [639]
2 years ago
8

Which equation represents a line that passes through the point (−2, 6) and is parallel to the line whose equation is 3x − 4y = 6

? 1. 3x + 4y = 18 2. 4x + 3y = 10 3. −3x + 4y = 30 4. −4x + 3y = 26?
Mathematics
1 answer:
mart [117]2 years ago
8 0
Method 1:  Realize that the desired equation will look exactly the same as the given equation 3x − 4y = 6, except that the constant will be different.

Thus, the equation of the new line is   3(-2) − 4(6) = C, where C comes out to 30.

Then the new line is 3x - 4y = 30.


You might be interested in
HELP PLEASE <br><br> Which graph best represents the equation y= 2x
uysha [10]

Answer:

The answer is H.

Step-by-step explanation:

There is no "b" in this y = mx + b, so it has to go through zero, eliminating the bottom two. If we insert y = 2(1), the point should be at (1, 2), and if when looking at the possible answers, we can go with letter H.

3 0
2 years ago
When a frequency distribution is exhaustive, each individual, object, or measurement from a sample or population must appear in
KiRa [710]

Answer:

a. True

Step-by-step explanation:

The frequency distribution is a summary of the gathered data set, in which the interval of values is divided into classes.

A requirement for a frequency distribution is for the classes to be mutually exclusive and exhaustive. That is, each individual, object, or measurement in the data set must belong to <em>one and only one</em> class.

Then, we can conclude that each individual, object, or measurement must appear in at least one (in fact, only in one) category or class.

4 0
3 years ago
Find PNO, please help asap
Scilla [17]

Answer:

Step-by-step explanation:

Since MNP is equilateral, so <PNM=60, and since OP//NM, and <PON is 90, so <MNO=90=<PNM+PNO,so 90=60+<PNO,so <PNO=30

4 0
3 years ago
A company manufactures and sells x television sets per month. The monthly cost and​ price-demand equations are ​C(x)equals72 com
solmaris [256]

Answer:

Part (A)

  • 1. Maximum revenue: $450,000

Part (B)

  • 2. Maximum protit: $192,500
  • 3. Production level: 2,300 television sets
  • 4. Price: $185 per television set

Part (C)

  • 5. Number of sets: 2,260 television sets.
  • 6. Maximum profit: $183,800
  • 7. Price: $187 per television set.

Explanation:

<u>0. Write the monthly cost and​ price-demand equations correctly:</u>

Cost:

      C(x)=72,000+70x

Price-demand:

     

      p(x)=300-\dfrac{x}{20}

Domain:

        0\leq x\leq 6000

<em>1. Part (A) Find the maximum revenue</em>

Revenue = price × quantity

Revenue = R(x)

           R(x)=\bigg(300-\dfrac{x}{20}\bigg)\cdot x

Simplify

      R(x)=300x-\dfrac{x^2}{20}

A local maximum (or minimum) is reached when the first derivative, R'(x), equals 0.

         R'(x)=300-\dfrac{x}{10}

Solve for R'(x)=0

      300-\dfrac{x}{10}=0

       3000-x=0\\\\x=3000

Is this a maximum or a minimum? Since the coefficient of the quadratic term of R(x) is negative, it is a parabola that opens downward, meaning that its vertex is a maximum.

Hence, the maximum revenue is obtained when the production level is 3,000 units.

And it is calculated by subsituting x = 3,000 in the equation for R(x):

  • R(3,000) = 300(3,000) - (3000)² / 20 = $450,000

Hence, the maximum revenue is $450,000

<em>2. Part ​(B) Find the maximum​ profit, the production level that will realize the maximum​ profit, and the price the company should charge for each television set. </em>

i) Profit(x) = Revenue(x) - Cost(x)

  • Profit (x) = R(x) - C(x)

       Profit(x)=300x-\dfrac{x^2}{20}-\big(72,000+70x\big)

       Profit(x)=230x-\dfrac{x^2}{20}-72,000\\\\\\Profit(x)=-\dfrac{x^2}{20}+230x-72,000

ii) Find the first derivative and equal to 0 (it will be a maximum because the quadratic function is a parabola that opens downward)

  • Profit' (x) = -x/10 + 230
  • -x/10 + 230 = 0
  • -x + 2,300 = 0
  • x = 2,300

Thus, the production level that will realize the maximum profit is 2,300 units.

iii) Find the maximum profit.

You must substitute x = 2,300 into the equation for the profit:

  • Profit(2,300) = - (2,300)²/20 + 230(2,300) - 72,000 = 192,500

Hence, the maximum profit is $192,500

iv) Find the price the company should charge for each television set:

Use the price-demand equation:

  • p(x) = 300 - x/20
  • p(2,300) = 300 - 2,300 / 20
  • p(2,300) = 185

Therefore, the company should charge a price os $185 for every television set.

<em>3. ​Part (C) If the government decides to tax the company ​$4 for each set it​ produces, how many sets should the company manufacture each month to maximize its​ profit? What is the maximum​ profit? What should the company charge for each​ set?</em>

i) Now you must subtract the $4  tax for each television set, this is 4x from the profit equation.

The new profit equation will be:

  • Profit(x) = -x² / 20 + 230x - 4x - 72,000

  • Profit(x) = -x² / 20 + 226x - 72,000

ii) Find the first derivative and make it equal to 0:

  • Profit'(x) = -x/10 + 226 = 0
  • -x/10 + 226 = 0
  • -x + 2,260 = 0
  • x = 2,260

Then, the new maximum profit is reached when the production level is 2,260 units.

iii) Find the maximum profit by substituting x = 2,260 into the profit equation:

  • Profit (2,260) = -(2,260)² / 20 + 226(2,260) - 72,000
  • Profit (2,260) = 183,800

Hence, the maximum profit, if the government decides to tax the company $4 for each set it produces would be $183,800

iv) Find the price the company should charge for each set.

Substitute the number of units, 2,260, into the equation for the price:

  • p(2,260) = 300 - 2,260/20
  • p(2,260) = 187.

That is, the company should charge $187 per television set.

7 0
2 years ago
3/4 ÷ 1/2 what is the answer to this
Maksim231197 [3]
Dividing by a half is the same as multiplying by two. 3/4 multiplied by 2 is
1 \frac{1}{2}
or, in improper fraction form
\frac{3}{2}
or, in decimal form, 1.5
5 0
3 years ago
Other questions:
  • Factor completely 5x^2 -15x+25
    9·1 answer
  • M(7,3) is the midpoint of RS.The coordinates of point S are (8,4).What are the coordinates of R?
    15·2 answers
  • Scientifc notaion of 33
    13·1 answer
  • Subtract the two expressions. 2b + 4 from -8b - 12
    9·2 answers
  • last year beth's annual salary was $38,350. this year she received a promotion and now earns $46,462 annually. she is paid biwee
    9·1 answer
  • The roots of x2 -( ) +34 are 5 -/+3i
    12·1 answer
  • PLEASE PLEASE HELP ME !!!
    12·2 answers
  • Find the value of x and y in the parallelogram..HELPP
    11·1 answer
  • Write the word sentence as an inequality:<br><br> A number "x" is no more than 30.
    5·1 answer
  • If Bryan had 2 apples and one of them is gone what happen to the other apples
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!