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3 years ago

(-2x + 6)1/5 = (-8 + 10x)1/5

Mathematics

1 answer:

Nesterboy [21]3 years ago

6 0

Answer:

12x = 14

simplify x=7/6

Step-by-step explanation:

(-2x+6)1/5 ║ (-8+10x)1/5

Then you'll times 1/5 to every number in the (bracts) on both sides

1/5 · (-2x) = -2/5x ║ 1/5 ·(-8) = -8/5

1/5 · (6) = 6/5 ║ 1/5 · (10x) = 10/5→ 2/1 = 2

Now you have -2/5x + 6/5 = -8/5 + 2x

Next you will subtract 6/5 from both sides and it would be

-2/5x + 2x -14/5

then you will subtract 2x from both sides and it would be

-12/5x = -14/5

Then you will multiply both sides by 5

which is 12x = 14

simplify x= 7/6

decimal x= 1.16667...

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It is called the payback period

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3 years ago

Find a linear equation to model this real-world application:

SSSSS [86.1K]

The linear equation to model the company's monthly expenses is y = 2.5x + 3650

Solution:

Let "x" be the units produced in a month

It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.

Cost per unit = $ 2.50

The company has monthly operating expenses of $350 for utilities and $3300 for salaries

We have to write the linear equation

The linear equation to model the company's monthly expenses in the form of:

y = mx + b

Cost per unit = $ 2.50

Monthly Expenses = $ 350 for utilities and $ 3300 for salaries

Let "y" be the total monthly expenses per month

Then,

Total expenses = Cost per unit(number of units) + Monthly Expenses

$y = 2.50(x) + 350 + 3300\\\\y = 2.5x + 3650$

Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650

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3 years ago

Select all the common denominators for

Vitek1552 [10]

Answer:

B, E

Step-by-step explanation:

There are a few ways to check for common denominator.

Here is one method

Take the 4 and 10 and see if both numbers will go into the numbers evenly. If they do, it is a common denominator

Will 4 and 10 divide evenly into 10 ?

4 will not go into 10 evenly

10 is not a common denominator.

Will 4 and 10 divide evenly into 20?

4 will go into 20 evenly. 20 /4 = 5

10 will go into 20 evenly 20 / 10 = 2

So 20 is a common denominator

Will 4 and 10 divide evenly into 24?

4 will go into 24 evenly 24 / 4 = 6

10 will not go into 24 evenly

24 is not a common denominator

Will 4 and 10 divide evenly into 32?

4 will go into 32 evenly 32 / 4 = 8

10 will not go into 32 evenly

32 is not a common denominator

Will 4 and 10 divide evenly into 40?

4 will go into 40 evenly 40/4 = 10

10 will go into 40 evenly 40 / 10 = 4

40 is a common denominator

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3 years ago

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a

levacccp [35]

Answer:

$P(x>12) = 0$

Step-by-step explanation:

Given

$x = \{1,2,3,4,5,6,7,8,9,10,11,12\}$ --- outcomes

$n(x) = 12$ -- sample size

Required

$P(x > 12)$

This is calculated as:

$P(x > 12) = \frac{n(x > 12)}{n(x)}$

$n(x>12) = 0$ because none of the outcomes is greater than 12:

So:

$P(x > 12) =\frac{0}{12}$

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6 0

3 years ago

Can someone please help me with these math problems ASAP?! Thanks in advance! ;)

Mamont248 [21]

Answer:

11) Here given Function,

$f(x) = \sqrt{2x-11}$

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For f(x) = g(x)

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$2x-11=(-|0.1|x+5)^2$

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$2x=0.01x^2 - 10|0.1|x+25+11$

$2x=0.01x^2 - 10|0.1|x+36$

$0.01x^2 - 10|0.1|x - 2x+36=0$

When we solve this equation,

We found,

x = 12.5227 ≈ 12.53

Thus, the required solution is, x = 12.53

12) Here the height of rocket A in x second,

$f(x) = -16x^2+74x+9$

And, The height gain by the rocket B in x seconds,

$g(x) = -16x^2+82x$

If at x seconds both A and B gain the same height,

That is, f(x) = g(x)

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⇒ $74x + 9 = 82x$

⇒ $82x - 74x = 9$

⇒ $8x = 9$

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3 years ago