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3 years ago

2(x-3) = (x-1)+7 step by step explantion please

Mathematics

2 answers:

mel-nik [20]3 years ago

7 0

Answer:

Step-by-step explanation:

lana66690 [7]3 years ago

6 0

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

2(x - 3) = (x - 1) + 7

Step 2: Solve for x

Combine like terms [Addition]: 2(x - 3) = x + 6
[Distributive Property] Distribute 2: 2x - 6 = x + 6
[Addition Property of Equality] Add 6 on both sides: 2x = x + 12
[Subtraction Property of Equality] Subtract x on both sides: x = 12

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4 quadrant

plot the graph of the line

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3 years ago

Four friends went to the movies together. Each ticket cost $8, and then each person also bought a soda for $3.75. Two friends ea

photoshop1234 [79]

Answer:

$37.00

Step-by-step explanation:

Tickets:

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4 friends, each soda costs $3.75

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32+15=47

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7 0

3 years ago

During the summer, Vontavious makes $8.50 working for his

bekas [8.4K]

Answer:

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Step-by-step explanation:

I multiplied 8.50 by 60 and got 510

6 0

3 years ago

The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial

maks197457 [2]

Answer:

The initial population P0 is 7500

Step-by-step explanation:

First of all, we are told that the population is proportional to time. This means that as time goes by, the population will increase. This type of relationship between two variables has the form of a linear equation expressed as:

y = mx + b,

where m is the slope of the curve and b is the intercept of it.

In this case we can state the following equation:

P = mt + P0

Where P is the population at a certain time "t", "m" is the slope of the curve, "t" is the time (this is the independent variable) and P0 is the intercept of the curve and represents the initial population.

Once we state the equation, let's see what we know:

If t = 0, then P = P0

If t = 3, then P = 12000 just as we are told

and if t = 5, then P = 2 P0 because after five years the population has doubled compared to the initial population (P0).

From the definition of the slope of the curve:

(Y2 - Y1)/(X2-X1) = m

and using the data described before we can formulate the slope value:

m = (2P0 - P0)/(5-0)

m = (2P0 - P0)/5

m = P0/5

Then, let's replace the value of m in the following equation:

P = mt + P0

12000 = (P0/5) × 3 + P0 → This is the equation presented when 3 years has gone by and we now have a population of 12000.

12000 = (3/5) P0 + P0

12000 = (8/5) P0

12000×5/8 = P0 = 7500

Then we can calculate the value of the slope m:

m = P0/5

m = 7500/5 = 1500

Now, knowing the value of m and the initial population P0 we are able to calculate the population at any value of "t".

6 0

3 years ago

HELP PLEASE! I will rate 5 stars and give brainliest!!!

larisa86 [58]

Answer:

see explanation

Step-by-step explanation:

The n th term ( explicit formula ) of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = - 95 and a₃₇ = - 270 , then

a₁ + 11d = - 95 → (1)

a₁ + 36d = - 270 → (2)

Subtract (1) from (2) term by term to eliminate a₁

25d = - 175 ( divide both sides by 25 )

d = - 7

Substitute d = - 7 into (1) and solve for a₁

a₁ + 11(- 7) = - 95

a₁ - 77 = - 95 ( add 77 to both sides )

a₁ = - 18 , thus

$a_{n}$ = - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11

$a_{n}$ = - 7n - 11 ← explicit formula

--------------------------------------------------------------

The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus

$a_{n}$ = $a_{n-1}$ - 7 with a₁ = - 18 ← recursive formula

5 0

3 years ago