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
Law Incorporation [45]
3 years ago
12

A) Simplify the expression and explain each step. (2 points)4(3x+2) -2= ?

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Answer:

6 (2 x + 1)

Step-by-step explanation:

Simplify the following:

4 (3 x + 2) - 2

Hint: | Distribute 4 over 3 x + 2.

4 (3 x + 2) = 12 x + 8:

12 x + 8 - 2

Hint: | Group like terms in 8 + 12 x - 2.

Grouping like terms, 8 + 12 x - 2 = 12 x + (8 - 2):

12 x + (8 - 2)

Hint: | Subtract 2 from 8.

8 - 2 = 6:

12 x + 6

Hint: | Factor out the greatest common divisor of the coefficients of 12 x + 6.

Factor 6 out of 12 x + 6:

Answer: 6 (2 x + 1)

You might be interested in
Chang has 36 coins, all dimes and half-dollars. The total value of all these coins is $12.00. How many dimes does he have?
Daniel [21]
The first thing we must do for this case is to define variables.
 We have then:
 x = number of dimes
 y = number of half-dollars
 We write the system of equations:
 x + y = 36
 0.10x + 0.50y = 12
 Solving the system we have:
 x = 15
 y = 21
 Answer:
 
He has 15 dimes
4 0
3 years ago
What is 0.5 divided by 2.675
eduard

.186915888

that is the answer

if I meant 2.675 divided by .5 it is 5.35

7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%20%7B%20%5Ccos%5E%7B4%7D%5Calpha%7D%20%5C%3A%20%2B%20%20%20%5Csin%5E%7B2%7D%20%5Calpha%20%5C%
timurjin [86]

Answer:

Proved

Step-by-step explanation:

cos^4\alpha +sin^4\alpha =\frac{1}{4}(3+cos4\alpha )\\\\

Take the Left Hand Side:

cos^4\alpha +sin^4\alpha\\\\(cos^2\alpha )^2+(sin^2\alpha )^2\\\\(\frac{1+cos2\alpha }{2})^2+(\frac{1-cos2\alpha }{2})^2  \\\\\frac{1+2cos2\alpha +cos^22\alpha }{4}+\frac{1-2cos2\alpha +cos^22\alpha }{4} \\\\

\frac{1+2cos2\alpha +cos^22\alpha +1-2cos2\alpha +cos^22\alpha }{4} \\\\\frac{2+2cos^22\alpha }{4} \\\\\frac{1+cos^22\alpha }{2} \\\\\frac{1}{2}(1+cos^22\alpha )\\\\

\frac{1}{2}(1+\frac{1+cos4\alpha }{2})

\frac{1}{2}(\frac{2+1+cos4\alpha }{2})\\\\\frac{1}{4}(3+cos4\alpha )\\\\

Hence Proved!

The following identities were used are attached in an image

3 0
3 years ago
RoBoCo Costume Inc plans to launch a major campaign to sell Robby the Robot costumes for Halloween. The price-demand equation fo
Neko [114]

Answer:

x = 20,000

p = $40

If the price increase by $1, the demand will decrease by 1000

Step-by-step explanation:

Given:

x = 160 - p

x = number of Robby costumes demanded in thousands

p = price in dollars.

a. How many costumes can be sold at a price of $140?

x = 160 - p

x = 160 - 140

= 20

x = 20,000

20 thousand costumes can be sold at a price of $140

b. What price should be charged if the demand is 120,000 Robby costumes?

x is in thousand

p is in dollars

x = 160 - p

x + p = 160

120 + p = 160

p = 160-120

= 40

p = $40

c. If the price increases by $1.00, by how much does the demand decrease?

x = 160 - p

= 160 - 141

= 19

x= 19,000

If the price increase by $1, the demand will decrease by 1000

5 0
3 years ago
Which of the following statements follows from (x - 3)2 = 7?
matrenka [14]

Answer:

x = 17

Step-by-step explanation:

(x-3)2 = 7

Divide both sides by two

(<u>x-3)2</u> = <u>7</u>

2 2

x-3= 31/2

x= 31/2-3

x= 1/2 or 0.5

4 0
3 years ago
Read 2 more answers
Other questions:
  • Jane has 6 more than half the number of pairs of shoes that Mercedes has. Jane has j pair of shoes, and Mercedes has m pairs of
    6·1 answer
  • A pony keg (quarter barrel) of beer contains 62 pints.  If the local drinking establishment sells draft beer in 400mL pilsner gl
    14·1 answer
  • Plot 7 &gt; c on a number line
    6·1 answer
  • Specify three fractions with different denominators that have an LCD of 24
    14·1 answer
  • Mr. Martin and his son are planning a fishing trip to Alaska. The rates of two companies are shown.
    7·1 answer
  • 60. The distance between two stars increases at a rate
    7·1 answer
  • Find the equation for the line that passes through (-9,-5) that has slope - 4/7 give your answer in point-slope form. you do not
    11·1 answer
  • Which equation has roots -3 and 4
    13·1 answer
  • Whats 3x+2 x 12.
    8·2 answers
  • The temperature at 9 p.m. was 12°F. The temperature dropped 15°F by 5 a.m.The temperature at 5 a.m. was
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!