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
Reika [66]
3 years ago
14

WILL MARK THE CORRECT ANSWER BRAINLIEST! Select all the correct answers:

Mathematics
1 answer:
stepladder [879]3 years ago
8 0

Answer:

B, D

Step-by-step explanation:

Solve all equations:

A.

x-3x=-2x+4\\ \\-2x=-2x+4\\ \\0=4

This is false equality, so this equation has no solutions.

B.

x-\dfrac{1}{3}(3x)=0\\ \\x-x=0\\ \\0=0

This equality is true for all values of x, so this equation has infinitely many solutions.

C.

\dfrac{1}{3}x-3=4+2x\\ \\x-9=12+6x\\ \\x-6x=12+9\\ \\-5x=21\\ \\x=-\dfrac{21}{5}

This equation has the unique solution.

D.

3x+2-\dfrac{1}{3}(3x)=2+2x\\ \\9x+6-3x=6+6x\\ \\6x+6=6+6x\\ \\0=0

This equality is true for all values of x, so this equation has infinitely many solutions.

E.

x-\dfrac{1}{3}x+2=0\\ \\3x-x+6=0\\ \\2x=-6\\ \\x=-3

This equation has the unique solution.

You might be interested in
Graph A line goes through the point (6,–2) and has a slope of –3. What is the value of a if the point (a,7) lies on the line?
3241004551 [841]

Answer:

The value of a is 3

Step-by-step explanation:

First you have to make an equation based on the point and slope that you were given. The formula for this is y-(y cordinate of point)=slope(x-x cordinate of slope)

y--2=-3(x-6), which simplifies to y+2=-3(x-6)

In (a,7), 7 is the y coordinate. We have to plug 7 in for the y in our equation.

7+2=-3(x-6),

Combine like terms on the left side to get to 9=-3(x-6)

Multiply out on the left to get 9=-3x+18

Subtract 18 from the left side to get -9=-3x

Divide both sides by negative 3 to get 3=x (remember x is a)

7 0
3 years ago
The number of daily sales of a product was found to be given by S = 600xe−x2 + 600 x days after the start of an advertising camp
Elena-2011 [213]

Answer:

a. 20520

b. 12600

Step-by-step explanation:

Given the function S = 600xe^-x² + 600.

a. To find the average, we have to find the definite integral of the function because average, as it is known, is the sum of data points divided by the size of its dataset, this can be used for discrete data. Integral formula is just the continuous form of average, so we are using integral because we were given an interval of x= 0 to X = 30.

Let's integrate 100xe^x² first. Let –x² = u, this means –2xdx = du and we have dx = –du/2x. Also, when x = 0, u = –(0)² = –0 and when x = 30, u = –(30)² = –900. When we make our substitutions we have:

–600(xe^udu)/2x = –600(e^udu)/2 upon integrating that we have –600(e^u)/2. Applying our interval we have

–600[(e^900)/2 – (e^0)/2] ≈ – [– 3.7 – (1/2)] = –600 (–4.2) = 600 x 4.2 = 2520

Now let's integrate 600, with the interval x = 0 to x = 30 (we are using this interval here because the substitution we made didn't affect this).

We have, upon integrating:

600x.

Substituting our intervals we have:

600(30 – 0) = 600 x 30 = 18000.

Adding that up we have: 2520 + 18000 = 20520.

b. The same method is needed, just difference of interval.

Therefore, after integrating the first component with intervals u = 900 to u = 2500 (from x² = u) we have:

–600[(e^2500)/2 – (e^900)/2] ≈ –600[2.7 – 3.7] = –600(–1) = 600.

Then for the second component:

600x using x = 30 to x = 50

600(50 – 30) = 600 x 20 = 12000.

Adding that up we have:

12000 + 600 = 12600.

4 0
3 years ago
-17-(-1)+2/3+(-1/2) or negative seventeen minus (negative one) plus two thirds plus (negative one half)
julia-pushkina [17]
-95/6 or negative ninety-five over six
3 0
3 years ago
Substitute this equation x+3y=18 & -x-4y=-25
sveticcg [70]

Answer:

 {x,y} = {3/7,-43/7}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    x + 3y = -18

  [2]    -x + 4y = -25

Graphic Representation of the Equations :

   3y + x = -18        4y - x = -25  

 

 

Solve by Substitution :

// Solve equation [1] for the variable  x  

 

 [1]    x = -3y - 18

// Plug this in for variable  x  in equation [2]

  [2]    -(-3y-18) + 4y = -25

  [2]    7y = -43

// Solve equation [2] for the variable  y  

  [2]    7y = - 43  

  [2]    y = - 43/7  

// By now we know this much :

   x = -3y-18

   y = -43/7

// Use the  y  value to solve for  x  

   x = -3(-43/7)-18 = 3/7  

Solution :

{x,y} = {3/7,-43/7}

5 0
3 years ago
Angela and Neil are going to the movies. They each bought a medium popcorn, and Neil got a small soft drink. Angela had a $5 gif
bagirrra123 [75]
Let us assume the cost of a soft drink = x dollars
Value of the gift certificate that Angela had = $5
Cost of the movie ticket = $10
Cost of a medium popcorn = $5.50
Then
27.90 + 5 = 2(10) + 2(5.50) + x
32.90 = 20 + 11 + x
32.90 = 31 + x
x = 1.90 dollars

From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the first option or $1.90.
6 0
3 years ago
Other questions:
  • Select the correct answer from each drop down menu y=x^2+2x-1 y-3x=5
    5·1 answer
  • The lateral surface area of cone A is exactly the lateral surface area of
    10·2 answers
  • Solve -x^2(x-2)(x-5)^3
    6·1 answer
  • A plane can fly 325 mph in still air. If it can fly 190 downwind in the same amount of time it can fly 135 miles upwind, find th
    10·1 answer
  • Which is the graph of f(x) = 2(3)x?
    8·1 answer
  • Does anyone understand exactly what is going on in the example and how to use it for the next two problems? Can anyone explain t
    8·1 answer
  • a(b+c) =a.b+a.c, where a, b, and c are real numbers. Use the distributive property to simplify the expression 8(3+4)=24+ ?
    10·1 answer
  • Need hep with this question​
    9·1 answer
  • Find the sum. 15 + (−15)
    11·2 answers
  • The initial number of people that are sick with the flu is 36 and growing at a rate of 8% every day. How many people will be sic
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!