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
Fed [463]
3 years ago
9

Anna is given the equation 3 + 2x = 2x + 3 The replacement set is {2, 3, 4, 5} Anna says the solution is {3}, but the teacher ma

rked her problem incorrect. Explain what the answer should be and why. Why do you think this is?
Mathematics
1 answer:
alexira [117]3 years ago
5 0

<u><em>Answer:</em></u>

The given equation has <u>infinite number of solutions</u>. This means that <u>any real number</u> can be considered a solution to the given equation.

Since the given replacement set {2,3,4,5} consists of real numbers, therefore, the whole set is considered as a solution to the given equation.

This is because, when solving the given equation for x, we will end up with 0 = 0, this means that whatever the value of x is, both sides of the equation will always be equal.

<u><em>Explanation:</em></u>

To solve for x, we need to isolate the x on one side of the equation.

<u>This can be done as follows:</u>

3 + 2x = 2x + 3 (subtract 3 from both sides)

2x = 2x (subtract 2x from both sides)

0 = 0

This means that whatever, the value of x is, both sides of the equation will be equal. This means that all real numbers are considered a solution for this equation.

<u>Let's verify this using the given replacement set {2,3,4,5}:</u>

<u>For x = 2: </u>

Left hand side: 3 + 2(2) = 3 + 4 = 7

Right hand side: 2(2) + 3 = 4 + 3 = 7

Both sides are equal.

<u>For x = 3:</u>

Left hand side: 3 + 2(3) = 3 + 6 = 9

Right hand side: 2(3) + 3 = 6 + 3 = 9

Both sides are equal.

<u>For x = 4:</u>

Left hand side: 3 + 2(4) = 3 + 8 = 11

Right hand side: 2(4) + 3 = 8 + 3 = 11

Both sides are equal.

<u>For x = 5:</u>

Left hand side: 3 + 2(5) = 3 + 10 = 13

Right hand side: 2(5) + 3 = 10 + 3 = 13

Both sides are equal.

Hope this helps :)


You might be interested in
What is 7 2/6 plus 8 5/6
yulyashka [42]
7  2/6 + 8  5/6
= (7 x 6 + 2)/6 + (8 x 6 + 5)/6
= (42 + 2)/6 + (48 + 5)/6
= 44/6 + 53/6
= (44 + 53)/6
= 97/6
= 16  1/6
3 0
3 years ago
Read 2 more answers
Find the area of the polygon. A = __ft squared
Nataliya [291]

Answer:

28.5^2

Step-by-step explanation:

The formula is, b(base)+c(height)= b+c over 2.  b+c/2.

B=19ft in this problem.

C=38ft

Knowing this, we can further simplify.

19+38/2

Now, we add 19 and 38.

(57)

57/2= 28.5

So, the anwser is 28.5^2

8 0
2 years ago
Please help me!!!<br> solve for f : 5/6 f =5<br> 1. 5<br> 2. 4.2<br> 3. 7.3<br> 4. 6
Alik [6]

Answer:

6

Step-by-step explanation:

5 0
3 years ago
Jill had some candy to give to her five
Mama L [17]
She started with 32 pieces.

Explanation: If she had 5 children and each child received 5 pieces, you can determine that she gave her children a total of 25 pieces because 5 x 5 = 25. If she took 7 pieces for herself before giving the rest away, you can determine that she had 32 pieces of candy to start with because 25 + 7 = 32.
8 0
2 years ago
An Article a Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the
Sergio039 [100]

Answer:

The estimate is  P__{hat}} \pm E  = 0.37 \pm 0.0348

Step-by-step explanation:

From the question we are told that  

    The sample size is  n =  522

    The sample proportion of students  would like to talk about school is  \r p__{hat}} =  0.37

  Given that the confidence level is  90 % then the level of significance can be mathematically evaluated as

                  \alpha  =  100 - 90

                  \alpha  =  10\%

                  \alpha  =  0.10

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table, the value is  

               Z_{\frac{\alpha }{2} } =Z_{\frac{0.10}{2} } =  1.645

Generally the margin of error can be mathematically represented as

               E =  Z_{\frac{\alpha }{2} } *  \sqrt{\frac{\r P_{hat}(1- \r P_{hat} )}{n } }

=>            E = 1.645 *  \sqrt{\frac{0.37 (1- 0.37  )}{522 } }

=>             E = 0.0348

Generally the estimate the proportion of all teenagers who want more family discussions about school at 90% confidence level is  

                       P__{hat}} \pm  E

substituting values

                     0.37 \pm 0.0348

5 0
3 years ago
Other questions:
  • What is the surface area of the figure ?
    8·2 answers
  • I NEED HELP !!!!!!!!!
    5·1 answer
  • Gabe bought 8 bananas at the market for $1.84. Lucy bought 6 bananas at the grocery store for $2.10 . One banana at the grocery
    10·2 answers
  • 60 = −2(−10 − 4x)<br> what is the answer show step by step
    15·2 answers
  • PLEASE HELP !! DUE SOON GEOMETRY
    15·2 answers
  • Question 3 (1 point)
    11·2 answers
  • Which system of equations shows a solution of (0.5, –1)? On a coordinate plane, 2 lines intersect at (0.5, negative 1). On a coo
    6·2 answers
  • Free brainliest whoever can guess my character name??
    7·2 answers
  • Plz helppp thank uuuu :)
    9·1 answer
  • Josh attempted 56 free throws during the basketball season.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!