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DENIUS [597]
3 years ago
6

A) Simplify the expression and explain each step. (2 points)

Mathematics
2 answers:
GarryVolchara [31]3 years ago
8 0
A) 4 (3x+2)-2
12x+8-2
12x+6
2x+1 simplified expression
Nuetrik [128]3 years ago
5 0

Answer:

a) 4\left(3x+2\right)-2=12x+6

b) 20b-16= 4\left(5b-4\right)

Step-by-step explanation:

a) To simplify the expression you must:

Expand 4(3x + 2):

Apply the distributive law: \:a\left(b+c\right)=ab+ac

a=4,\:b=3x,\:c=2\\\\4\left(3x+2\right)=4\cdot \:3x+4\cdot \:2

Simplify 4\cdot \:3x+4\cdot \:2= 12x+8

12x+8-2

Subtract the numbers: 4\left(3x+2\right)-2=12x+6

b) To factor the expression 20b - 16 you must:

Rewrite 16 as 4\cdot 4 and 20 as 4\cdot 5

20b-16=4\cdot \:5b-4\cdot \:4

Factor out common term 4

20b-16= 4\left(5b-4\right)

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How do you begin isolating the variable x to one side of the equation?
Naily [24]
When you isolate the variable to one side of the equation, you have to use the given operation to simplify the number on the other side of the equal sign.

Ex: 4x + 8 = 40

This is a simple one-step equation, but to solve this, first, you need to subtract 8 from 40. 

4x = 40
       -  8

4x = 32

Then, you divide 4x by 32.

4x = 32
4x     4
   
  x = 8

However, with multi-step equations you have to do these three important steps.

1.) Distribute - the number that's on the outside of the parentheses, gets multiplied to all the numbers except for the one on the right side of the equal sign

2.) Combine Like Terms - numbers with coefficients like 3x, 6y, or 7a, that have another one like it, you need to add them together and keep the variable. 

3.) Simplify - it's almost like combining like terms, except if you have more than one number with coefficient, then again, add all the numbers with the same variable together. 

And by the way, coefficient basically is a "fancy" way to say "number with a variable attached".

I hope I helped :)
5 0
3 years ago
A shirt is $25.99 if the sales tax is 8.5% what will be the total cost of the shirt? Please help:)
tankabanditka [31]
Total=shirtcost+tax
shirtcost=100%
8.5%+100%=108.5%=1.085

1.085 times 25.99=28.19915
round
total cost is
$28.20
7 0
3 years ago
Read 2 more answers
Find the exact value of the indicated trigonometric function of θ.
Mariana [72]

Answer:

cosθ = -√(35/36)

tanθ = -1/√35

Step-by-step explanation:

We know that

sin²θ + cos²θ = 1

(1/6)² + cos²θ = 1

1 - (1/6)² = cos²θ

35/36 = cos²θ

sec θ = 1/ cosθ

1/ secθ = cos θ

Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0

cosθ = -√(35/36)

tanθ = sinθ/cosθ = (1/6)/-√(35/36)

= (1/6) / -(√35/6)

= -1/√35

8 0
3 years ago
Find the value of x in each case:
kicyunya [14]
I think the value of x is 15
7 0
3 years ago
Read 2 more answers
What is the domain of the radical function shown on the graph? GRAPH IS IN THE PIC BELOW. A.
irina1246 [14]

Given:

The graph of a radical function.

To find:

The domain of the given radical function.

Solution:

We know that, domain is the set of input values or we can say domain is the set of x-values for which the function is defined.

From the given graph it is clear that, for each value of x there is a y-value. It means the function is defined for all real values of x. So,

Domain = Set of all real numbers.

Therefore, the correct option is A.

8 0
2 years ago
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