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
worty [1.4K]
3 years ago
10

2x − 1/4 (12x + 4) = 3

Mathematics
2 answers:
irina1246 [14]3 years ago
3 0
Hi there! The answer is A.

In which step was the error made and why? The answer was in:
A.) Step 1, because incorrect signs have been used.

In the first step the parenthesis are worked out incorrectly. When we work out the parenthesis in a function we can for instance use the rainbow method. We mustn't forget the sign that is used in front of the parenthesis.

In this particular situation the sign in front of the parenthesis is − . This means we multiply a negative (outside the parenthesis) with a positive (inside the parenthesis) and therefore end up with a negative.

When the perenthesis had been worked out correctly, we would get the following.
2x - \frac{1}{4} (12x + 4) = 3

Rainbow method
2x - \frac{1}{4} \times 12x - \frac{1}{2} \times 4 = 3

Multiply
2x - 3x - 1 = 3

Collect terms
- x - 1= 3

Add 1 to both sides.
- x = 4

Divide by -1.
x = - 4

In short: the answer is A.
~ Hope this helps you!
dsp733 years ago
3 0
Hi there!
The answer is [ A. ]

EXPLANATION :-

[ A. ] - Incorrect signs have been used.

We must remember th' rules of multiplication while doing calculations.
Here, th' Parenthesis are work'd out incorrectly.

Now,

Let's look at th' correct answer. If th' Parenthesis worked out Correctly :-

2x - \dfrac {1}{4} (12x + 4) = 3

=> 2x - (\dfrac {12x}{4} + \dfrac {4}{4}) = 3

=> 2x - (3x + 1) = 3

=> 2x - 3x - 1 = 3

=> - x = 3 + 1

=> - x = 4

Dividin' by -1 :-

=> x = - 4

~ Hope it helps!
You might be interested in
How to solve this |9x-12|<-4
Neporo4naja [7]
<span> |9x-12|  <  -4

There is no solution for this inequality...

Because an absolute value is NEVER less than an a negative number </span>
5 0
3 years ago
It says I have 13 free answers left and then it says I used them all so I only get 2 free. why?
creativ13 [48]

Answer: That used to happen to me but if you answer peoples questions it doesnt do that anymore because you are helping out

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is a mutual fund’s
leonid [27]

A pool of money where investors buy shares and a fund manager invests them and gives the investor the return; the way that most Americans invest their money because of the ease. hope that helps!

3 0
3 years ago
PLEASE HELP!!! ITS TWO PARTS
tresset_1 [31]

Answer:

$78, $79.20

Step-by-step explanation:

PART A: $60 times 1.3 = $78

you add 30% to 100% to get 130% since it is a mark up, and then you convert to a decimal by going to the left twice then multiplying by original price.

PART B

Since it is a discount you subtract 15 percent from 100, but then add back 5 percent since there is tax applied to get 90%, convert to decimal and multiply by original price to get $88 x .9 = $79.20

6 0
3 years ago
Type the slope-intercept equation
natulia [17]

Answer:

y= -2x +1

Step-by-step explanation:

<u>slope- intercept form</u><u>:</u>

y= mx +c, where m us the gradient and c is the y-intercept.

Let's find the value of m first using the gradient formula.

Gradient= \frac{y1 - y2}{x1 - x2}

m =  \frac{ - 3 - 3}{2 - ( - 1)}  \\ m =  \frac{ - 6}{2 + 1}  \\ m =  \frac{ - 6}{3}  \\ m =  - 2

y= -2x +c

To find the value of c, substitute a pair of coordinates.

When x= -1, y=3,

3= -2(-1) +c

3= 2 +c

c= 3 -2

c= 1

Thus the equation of the line is y= -2x +1.

4 0
3 years ago
Other questions:
  • How do you sol e 2/3 (3x+2)=1x
    11·1 answer
  • (-2p⁻⁵q . 4p⁵q⁻³)²<br><br> Explain with steps
    13·1 answer
  • Find the distance between the points (-3, 11) and (5, 5).<br><br> 10<br> 2<br> 2
    7·2 answers
  • When the lengths of the sides of a square are increased by 5 cm, the area is increased by 85 square cm. What was the size of the
    10·1 answer
  • The length of the shadow of a building is 120 meters, as shown below:
    12·2 answers
  • Round 128.599 to 3 decimal places
    5·1 answer
  • If the temperature is -1 degrees and it drops 5 degrees overnight what is the new temperature?
    15·1 answer
  • I need help ASAP !!! I will mark brainlest!!!
    13·1 answer
  • Plz help with this 5th one
    5·2 answers
  • HELP!!!! Match the following.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!