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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
the area of a window is 192 in squared. The width if the window is four inches more than half the length of the window. What are
Leya [2.2K]

Answer:

Length = 16 inches and width = 12inches

Step-by-step explanation:

A = 192 in² . The width is 4 + 1/2x.  therefore let x = length

Area = LW

192 =  x(4 + 1/2 x)

192 = 4x + 1/2x²      

384 = 8x  + x²                            Multiply each term by 2 to make a  

384 + 16 =  x² + 8x + 16              Complete the square

400 = (x  + 4)²        

\sqrt{400} = \sqrt{(x + 4)^2}

± 20 = x + 4

20 = x + 4  or  -20 = x + 4

20 - 4 = x     or  -20 - 4 = x

    16 = x   or   -24 = x   reject the negative amount

   Length = 16

   width = 4 + 1/2(16);   4 + 8 = 12

8 0
3 years ago
An employee at an organic food store is assembling gift baskets for a display. Using wicker baskets, the employee assembled 2 sm
Bingel [31]

Let \: x,  y \: (x,y>0) \: be \: the \: number \: of \: fruits \: the \: small \: and \: large \: baskets \: hold \: respectively \\ We  \: have \:  a \:  system \:  of \:  equations:2x + 4y = 60 \: \wedge \: 2x + 10y = 132 \\ \Leftrightarrow x = 6 \: \wedge \: y = 12 \\ \Rightarrow The  \: small \:  baskets  \: each \:  include  \: 6  \: fruits \\ \Rightarrow The  \: large \: baskets \: each \: include \: 12 \: fruits

5 0
3 years ago
Is the line through points P(0, 1) and Q(5, 0) parallel to the line through points R(–4, 3) and S(–5, 4)? Explain.
ale4655 [162]

Answer:

No

Step-by-step explanation:

Let's find the slope of both lines and then compare these slopes:

From (-4,3) to (-5,4) entails a decrease of -1 in x and an increase of 1 in y.  Thus, the slope is m = rise / run = 1/(-1) = -1.

From (0,1) to (5,0) entails an increase of 5 in x and a decrease of 1 in y.  The slope here is m = rise / run = -1/5.

For these lines to be parallel, their slopes must be the same.  That is not the case here, so NO, the lines are not parallel.



8 0
3 years ago
Any1 know the answers for this?
Bezzdna [24]
X=4 because you combine 2+4 and subtract -6 then divide
7 0
3 years ago
70 points for 7 questions answer. math...please and thank you
a_sh-v [17]

Answer:

6. Actual length is 8 mm.

7. 13

8. 4

9. x=12

10. y=4

11. a=-3

12. y=-5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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