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2 years ago

2(3x – 1) = 6x – 2 number of solutions

Mathematics

1 answer:

Alexxandr [17]2 years ago

4 0

Answer: All real numbers are solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

2(3x−1)=6x−2

Step 1: Simplify both sides of the equation.

2(3x−1)=6x−2

(2)(3x)+(2)(−1)=6x+−2(Distribute)

6x+−2=6x+−2

6x−2=6x−2

Step 2: Subtract 6x from both sides.

6x−2−6x=6x−2−6x

−2=−2

Step 3: Add 2 to both sides.

−2+2=−2+2

0=0

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Greatest common factor in 8 and 14

Helen [10]

Try it like this. it may help: Make it like a rainbow. Find out what all can go into 8 and 14. So kinda like this.

1,2 4 ,8

then just connect it, like a rainbow, hence the name.

Hope that helped!

6 0

3 years ago

___,36 ,108 ,324 ,972

hjlf

12

First figure out of it is a arithmetic or geometric sequence, in this case it is a geometric sequence because you have to multiply, not add to find the next number.

Divide one number, I'll pick 324 by the number before it, 108, you get three.

Now divide 36 by 3, you get 12.

To check, multiply 12 by 3, you get 36, multiply that by 3, you get 108, and so on and so forth.

3 0

3 years ago

Tara and Michelle are growing trees in their back yard. Tara's tree starts at a height of 10 feet, and grows 4 ft. a year. Miche

Anuta_ua [19.1K]

Answer:

To determine the exponential growth of Michelle's tree at 12 years, taking into account that it measures 7 feet and grows 14% annually, the following calculation must be performed:

X = 7 x (1 + 0.14) 12

X = 33.7

Thus, in 12 years, the height of Michelle's tree will be 33.7 feet. In turn, the tree of Tara will measure 58 feet at the same time.

The first time Michelle's tree surpasses Tara's will be at age 20, when Michelle's tree will measure 96.2 feet (X = 7 x (1 + 0.14) 20), while Tara's tree will measure 90 feet.

6 0

3 years ago

Please someone help me

ruslelena [56]

Answer:

r = 0.046212737

Step-by-step explanation:

A = 14,400 (what your investment originally is)

P = 7,200 (what you want your investment to be)

n = 365 (interest is compounded daily)

t = 15 (15 years)

Plug all of these numbers into the equation, then solve for r

14,400 = 7,200(1 + r/365)^365 · 15

Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15

365 · 15 = 5475 --> 2 = (1 + r/365)^5475

5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)

(5475√(2)) - 1 = r/365 (subtract one from both sides)

((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)

Type the left side into the calculator to get r --> 0.046212737.

Hope this helps!

8 0

3 years ago

Read 2 more answers

Select the correct answer. A company employs 48 people in various departments. The average annual salary of each employee is $25

Anna35 [415]

Answer:

A. $1,056,000 ≤ x ≤ $1,344,000

Step-by-step explanation:

The average annual salary of each of the 48 employees is given as;

$25,000

The total salary that the company pays to its employees annually is thus;

$25,000 * 48 = $1,200,000

Now, the total annual maximum variance of the employees salaries would be;

$3,000 * 48 = $144,000

The lower limit of the total salary that the company pays to its employees annually is calculated as;

$1,200,000 - $144,000 = $1056000

The upper limit of the total salary that the company pays to its employees annually is calculated as;

$1,200,000 + $144,000 = $1344000

Therefore, the range of the total salary that the company pays to its employees annually is;

$1,056,000 ≤ x ≤ $1,344,000

8 0

3 years ago