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Zanzabum
2 years ago
15

Translate then Solve for the variable:

Mathematics
1 answer:
Sergeu [11.5K]2 years ago
8 0

The linear equation will be 2x + 10 = 5(x - 6). Then the value of the variable x will be 23.33.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Translate then Solve for the variable:

The sum of two times a number and 10 is five times the difference between a number and six.

Let the number be x.

Then the equation will be

2x + 10 = 5(x - 6)

Then the value of x will be

2x + 10 = 5x - 60

5x - 2x = 60 + 10

      3x = 70

        x = 23.33

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

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Need help solveing this for class!
Mandarinka [93]

According to <em>graphical</em> and <em>analytical</em> methods, the value of the <em>input</em> variable associated with point of intersection between f(x) and g(x) is 1.5. (Correct choice: C)

<h3>How to determine the point of interception between two linear functions</h3>

<em>Linear</em> functions are polynomials with a grade of 1 and described by the following form:

y = m · x + b     (1)

Where:

  • x - Independent variable
  • m - Slope
  • y - Dependent variable
  • b - Intercept

Please notice that <em>horizontal</em> lines have a slope of 0.

There are two forms to estimate the coordinates of the point of intersection of the two functions: (i) <em>graphical</em>, (ii) <em>analytical</em>. According to the first method, the value of the <em>input</em> variable is approximately 1.5.

And according to the second method, we have the functions f(x) = 1 and g(x) = (4/3) · x - 1. Then, we must solve the following formula to determine the input variable of the point of interception:

1 = (4/3) · x - 1

(1/3) · x = 1/2

x = 3/2

x = 1.5

The value of the <em>input</em> variable is approximately 1.5.

According to <em>graphical</em> and <em>analytical</em> methods, the value of the <em>input</em> variable associated with point of intersection between f(x) and g(x) is 1.5. (Correct choice: C)

To learn more on systems of linear equations: brainly.com/question/27664510

#SPJ1

7 0
2 years ago
Your annual salary is $28,460 your State personal deductions total $88 for a weekly pay period. The state tax rate is 3.6% of ta
miv72 [106K]

Answer:

First, in one year you win:

$28,460

Now yearly we can subtract:

3.6% for the taxable income

1.7% for the gross pay:

(Those apply to the complete annual salary)

3.6% + 1.7% = 5.3%

This in decimal notation is 0.053, then paying those two things we have left:

$28,460*(1 - 0.053) = $26,951.62

Now we need to subtract the union dues, which are $156 per year.

$26,951.62 - $156 = $26,795.62

Now, this is yearly, and we want to know the weekly pay.

In one year we have 365 days.

One week has 7 days.

Then in one year, we have:

365/7 = 52.14 weeks.

Then the pay per week is:

$26,795.62/52.14 = $513.92

And now, each week we must pay $88 for state personal deductions, and $67 for FIT.

Then we have:

$513.92 - $88 - $67 = $358.92

Then the net pay for each weekly pay period is: $358.92

3 0
3 years ago
You have a coin collection of nickels and dimes containing 63 coins. If you have
xxTIMURxx [149]

Answer: 25 nickels

Step-by-step explanation:

EQUATIONS:

quantity: n + d = 63

value: 5n + 10d = 505

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

Divide thru the 2nd equation by 5 to get:

n + 2d = 101

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

Subtract that from the 1st equation:

-d = -38

d = 38 (# of dimes)

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

Substitute that into n+d=63 to solve for "n":

n + 38 = 63

n = 25 (# of nickels)

6 0
3 years ago
A school system is reducing the amount of dumpster loads of tosh removed each week. In week 5, there were 60 dumpster loads of w
Degger [83]
(5,60)(10,40)
slope = (40 - 60) / (10 - 5) = - 20/5 = -4

y = mx + b
slope(m) = -4
(5,60)...x = 5 and y = 60
now we sub and find b, the y int
60 = -4(5) + b
60 = -20 + b
60 + 20 = b
80 = b

equation is : y = -4x + 80
function form : f(x) = -4x + 80...where x = number of weeks and f(x) = loads of waste removed 

7 0
3 years ago
Read 2 more answers
Expand and combine like terms. (7m6 + 6)(7m6 – 6)
Darina [25.2K]
5+620=728-72=*8%fc per second
4 0
3 years ago
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