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
Marianna [84]
3 years ago
5

Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.

Expression: Negative (4 x minus 5) + 2 (x minus 3) Expression: –2x – 5 Step 1: Choose a value of x Choose x = 1. Choose x = negative 1. Step 2: Substitute Negative (4 (1) minus 5) + 2 (1 minus 3) Negative 2 (negative 1) minus 5 Step 3: Evaluate Negative (4 (1) minus 5) + 2 (1 minus 3) = negative (negative 1) + 2 (negative 2) = negative 3 Negative 2 (negative 1) minus 5 = 2 minus 5 = negative 3 Step 4: Compare Since –3 = –3, the two expressions are equivalent. Which explains whether Sophia is correct? She is correct because the value of the two expressions are the same in Step 3. She is correct because she substituted opposite values in Step 1. She is not correct because she did not substitute the same number in both expressions in Step 1. She is not correct because she did not perform the correct order of operations in Step 3
Mathematics
2 answers:
strojnjashka [21]3 years ago
6 0

Answer:

She is not correct because she did not substitute the same number in both expressions in Step 1

Step-by-step explanation:

CASE 1: substitute 1 for x  to both sides of the equations

L.H.S

-(4x-5)+2(x-3)

-(4 (1) - 5)+ 2(1-3) = - (-1) + 2(-2) = 1 - 4 = -3

R.H.S

-2x - 5

-2(1) - 5 = -2-5 = -7

Hence for x= 1

-(4x-5)+2(x-3) ≠ -2x -5

Because -3 ≠ -7

CASE 2: substitute -1 for x  to both sides of the equations

L.H.S

-(4x-5)+2(x-3)

-(4 (-1) - 5)+ 2(-1-3) = - (-9) + 2(-4) = 9 - 8 = 1

R.H.S

-2x - 5

-2(-1) - 5 = 2-5 = -3

Hence for x= -1

-(4x-5)+2(x-3) ≠ -2x -5

Because 1 ≠ -3

Answer:

She is not correct because she did not substitute the same number in both expressions in Step 1

WITCHER [35]3 years ago
6 0

Answer:

She is not correct because she did not substitute the same number in both expressions in Step 1

Step-by-step explanation:

The answer is C

You might be interested in
Fractions in simplest form that have denominators of 2,
Montano1993 [528]

One of the fractions could be 1/2

Hoped this helped at all :)

8 0
3 years ago
The parallelogram shown below has an area of 727272 units^2 2 squared. Find the missing height.
ivolga24 [154]

Answer:

12 units

Step-by-step explanation:

Allow me to revise your questions for a better understanding and I hope it will fit the original one.

7 0
3 years ago
Please help its my 2nd time having to repost this question
Charra [1.4K]
What is the question??
4 0
4 years ago
Read 2 more answers
Bianca works as a content writer for $ 10 an hour and as a library assistant for $ 14 an hour. This month, she worked a combined
trasher [3.6K]

It's given in the question,

  • Bianca works as a content writer for $10 per hour.
  • She works as a library assistant for $14 per hour.

She worked for a combined total of 75 hours for both the jobs this month.

Let c be the number of hours Bianca worked as a content writer.

Her earning for this month as a content writer = $10c

Her working hours as library assistant this month = (75 - c) hours

Therefore, her earning as a library assistant for the month = $14(75 - c)

By adding the earnings as a library assistant and a content writer for the month = $10c + $14(75 - c)

           = (10c - 14c) + 1450

           = $(9c + 1050)

    Therefore, expression for the combined total amount she earned this month will be $(9c + 1050).

Learn more,

brainly.com/question/196661

8 0
3 years ago
1.
LenKa [72]
The answer would be C because they say if 3 new students arrived each year.
4 0
3 years ago
Other questions:
  • What is the coordinates of point S?
    5·1 answer
  • G find the domain for the particular solution to the differential equation dy dx equals the quotient of negative 1 times x and y
    10·1 answer
  • What is the distance between the y axis and the point (6,-3)
    8·1 answer
  • Bobs bill for dinner at surefire steak house was $45 .in addition ,he paid 5% of the bill and he left a tip for 15% of the bill
    10·1 answer
  • Sherri borrowed $3,200 at 13 percent APR for 18 months. If she must pay 19.5 per $100, what is the total interest? $624 $3,824 $
    11·2 answers
  • Four friends participated in a free throw contest. Sean made twice as many
    14·1 answer
  • Please help me asapp
    11·1 answer
  • Please help me I have to get it done by 8 am!!!
    15·1 answer
  • Help and show workings out I will give your brainlest
    10·1 answer
  • 10. An arithmetic sequence has this recursive formula. What is the explicit formula?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!