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Verizon [17]
3 years ago
12

5x-3=21-x please someone answer ​

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
6 0

Answer:

X=4

Step-by-step explanation:

  1. The first thing you would do is to make it so there is only x's on one side. To do this add the x on both sides
  2. This would make it so you have 6x-3=21
  3. Plus the 3 on both sides
  4. This would give you 6x=24
  5. Do 24÷6 giving you 4
  6. X=4
wolverine [178]3 years ago
5 0

Answer:

X=4 Hope it helps Lol

Step-by-step explanation:

  5*x-3-(21-x)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  6x - 24  =   6 • (x - 4)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    6   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    x-4 = 0

Add  4  to both sides of the equation :

                     x = 4

One solution was found :

                  x = 4

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<h3>Given</h3>

The values of two houses (in thousands of dollars)

\left[\begin{array}{c|cccc}\text{year}&0&1&2&3\\\text{value 1}&286&294.58&303.4174&312.51992\\\text{value 2}&286&295&304&313\end{array}\right]

<h3>Find</h3>

A) the nature of the function, linear or exponential, that can be used to model the value after x years

B) the actual function f(x) that can be used in each case

C) f(25) for each house. Is there a significant difference?

<h3>Solution</h3>

A) The oddball numbers give you a clue immediately that the value of house 1 will be best modeled by an exponential function.

The value of house 2 is increasing steadily at 9,000 per year, so is modeled by a linear function.

B) The ratio of values from a given year to the year before for house 1 is

... 294.58/286 = 1.03

A check for other years reveals the same ratio, so the exponential function can be written for house 1 as

... f(x) = 286·1.03^x . . . . . value of house 1

In part A we determined the year-to-year difference in value for house 2 is 9,000. That is the slope of the linear function. Then (in thousands), that function is

... f(x) = 286 +9x . . . . . value of house 2

C) After 25 years, the house values are (in thousands of dollars)

f_1(25)=286\cdot 1.03^{25}\approx 598.82049\\\\f_2(25)=286+9\cdot 25=511.00000

The value of house 1 has more than doubled in the same time that the value of house 2 has increased by about 79%. This is a significant difference.

___

An exponential function will always outperform a linear function over a long enough time period.

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