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AfilCa [17]
3 years ago
9

Which of the following expressions is equivalent to 3x + 3x + 5 + 5?

Mathematics
2 answers:
Aleks [24]3 years ago
6 0

Answer:  The correct option is

(B) 2(3x+5).

Step-by-step explanation:  We are given to select the expression that is equivalent to the following expression :

E=3x+3x+5+5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following property :

az+bz=(a+b)z.

From expression (i), we get

E\\\\=3x+3x+5+5\\\\=(3+3)x+10\\\\=6x+10\\\\=2\times3x+2\times5\\\\=2(3x+5).

Thus, the required equivalent expression is 2(3x+5).

Option (B) is CORRECT.

Kipish [7]3 years ago
4 0
Remember
ab+ac=a(b+c0

3x+3x+5+5
2(3x)+2(5)
2(3x+5)

2nd option
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Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.
blagie [28]
A.
5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0

B.
3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  |\hbox{add 12 to both sides} \\
x=11
3 0
2 years ago
PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( ! <br> ILL GIVE 40 POINTS .
RSB [31]

Answer:

x = 5

Step-by-step explanation:

11 = 4x-9

20 = 4x

20/4 = 4x/4

5 = x

5 0
3 years ago
15 points PLEASE HELP!!!<br><br> Factor the following equation:<br> <img src="https://tex.z-dn.net/?f=x%5E2%2B3x%2B4" id="TexFor
ycow [4]

Step-by-step explanation:

x²+3x+4=0

x²+3x_ +2=0

x²+3x_2=-2

x²+3x_2+(3x_4)²=-2+(3/4)²

(x+3/4) =-2+9_16

x+3_4 = -32+9__16 =√-23_6

x+3_4 =-√23_4

x = -3+√-23___4

x = -3- √-23___4 , -3+√-23___4 //

Mark my answer as branlist answer

follow me on my another account "sarivigakarthi"

5 0
2 years ago
Heather chops 250 carrots in 2 hours, and 750 carrots in 6 hours. Write an equation that represents the direct relationship betw
Luda [366]
C represents carrots. t represents time in hours.

c= 125t

To find this equation, I found the unit rate, or how many carrots were chooped per hour. I then plugged it into slope intercept form (y=mx+b) where the y intercept was 0 because she can chop 0 carrots in 0 hours.
3 0
3 years ago
Read 2 more answers
Please help someone
ratelena [41]

Answer:

1. Y

2. N

3. N

4. N

Step-by-step explanation:

Let's use the second equation, since it seems to be easier to use.

To check if an ordered pair is a solution, plug it in to the equation.

1. -10+18=8 --> Y

2. 25-12=13 --> N

3. 0-9=-9 --> N

4. 35-27=8 --> N

Edit : The 4th equation doesn't work for the first equation, whereas the first one still does.

7 0
3 years ago
Read 2 more answers
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