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
Shalnov [3]
3 years ago
9

6(m-1) = 3(3m + 2) Show all work

Mathematics
1 answer:
nordsb [41]3 years ago
7 0

Answer:

\boxed{\sf m = -4}

Step-by-step explanation:

\sf Solve \:  for  \: m: \\  \sf \implies 6 (m - 1) = 3 (3 m + 2) \\  \\  \sf Expand \:  out  \: terms \:  of \:  the \:  left  \: hand \:  side: \\  \sf \implies 6 m - 6 = 3 (3 m + 2) \\  \\  \sf Expand \:  out  \: terms  \: of  \: the  \: right \:  hand \:  side: \\  \sf \implies 6 m - 6 = 9 m + 6 \\  \\  \sf Subtract \:  9 m  \: from  \: both  \: sides: \\  \sf \implies (6 m - 9 m) - 6 = (9 m - 9 m) + 6 \\  \\  \sf 6 m - 9 m = -3 m: \\  \sf \implies -3 m - 6 = (9 m - 9 m) + 6 \\  \\  \sf 9 m - 9 m = 0: \\  \sf \implies -3 m - 6 = 6 \\  \\  \sf Add  \: 6 \:  to \:  both  \: sides: \\  \sf \implies (6 - 6) - 3 m = 6 + 6 \\  \\  \sf 6 - 6 = 0: \\  \sf \implies -3 m = 6 + 6 \\  \\  \sf 6 + 6 = 12: \\  \sf \implies -3 m = 12 \\  \\  \sf Divide  \: both  \: sides  \: of \:  -3 m = 12 \:  by \:  -3: \\  \sf \implies  \frac{ - 3m}{ - 3}  =  \frac{12}{ - 3}  \\  \\  \sf \frac{ - 3}{ - 3} = 1: \\  \sf \implies m =  \frac{12}{ - 3}  \\  \\  \sf -  \frac{12}{3}  =  - 4 :  \\  \sf \implies m =  - 4

You might be interested in
Select the functions whose value is undefined.
Irina18 [472]
Should be
cot 0and csc 0
6 0
3 years ago
What exponential function is the best fit for the data in the table?
gogolik [260]
Answer: fourth option

\frac{1}{4} 4^{x-1}-4

Explanation:

1) the pair x = 3 f(x) = 0, leads you to probe this:

f(3) = 0 = A [4 ^ (3 - 1) ] + C = 0

=> A [4^2] = - C

A[16] = - C

if A = 1/4

16 / 4 = 4 => C = - 4

That leads you to the function f(x) = [1/4] 4 ^( x - 1) - 4

2) Now you verify the images for that function for all the x-values of the table:

x = 2 => f(2) + [1/4] 4 ^ (2 - 1) - 4 = [1/4] 4 - 4 = 4 / 4 - 4 = 1 - 4 = - 3 => check

x = 3 => f(3) = [1/4] 4^ (3 - 1) - 4 = [1/4] 4^2 - 4 = 16 / 4 - 4 = 4 - 4 = 0 => check

x = 4 -> f(4) = [1/4] 4^ (4-1) - 4 = [1/4] 4^(3) - 4 = (4^3) / 4 - 4 = 4^2 - 4 = 16 - 4 = 12 => check.

Therefore, you have proved that the answer is the fourth option.
6 0
3 years ago
Read 2 more answers
How do I round 0.3 to the nearest thousandth
Luda [366]
0.3 is 3 tenths.
The order of "ths" is tenths, hundredths, thousandths.
Since there are no numbers after the 3, you simply have to add 2 zeros to make it 300 thousandths.

0.300<span />
6 0
3 years ago
Which line is a linear model for the data?
riadik2000 [5.3K]

Answer:

Here you go...

7 0
3 years ago
What is the volume of the cylinder? Use 3.14 for pie and round to the answer to the nearest hundred.
Schach [20]

Answer:

502.4

Step-by-step explanation:

Volume of a cylinder(formula)=πr2h

So pie is 3.14

3.14×4×4(radius2)×10

This is equal to 502.4

Hope it helped

5 0
2 years ago
Other questions:
  • Georgia built a model of the Empire State Building that is proportional to the actual building. The actual building is 187 feet
    7·1 answer
  • How do u find the area of the shaded region?
    10·1 answer
  • Please help!!! Will give brainly if correct!! 50 points
    9·2 answers
  • Write y=-3/4x+3
    15·1 answer
  • Please help!!!! largest, and smallest 6 digit number divisible by 2,3,4,5,6,8,9,10
    14·1 answer
  • What is 5 didvdied by 5836?
    7·2 answers
  • Are 124 and 741 relatively prime?
    14·2 answers
  • Show a graph Slope function of -1 with a y intercept of 3
    11·1 answer
  • A children's ride at an amusement park has a rule that a person must be shorter than 4 feet tall to ride it.
    8·1 answer
  • WILL GIVE BRAINLIEST. Need an answer ASAP!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!