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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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At an airport, it cost $7 to park for up to one hour and $5 per hour for each additional hour. Let x represent the number of hou

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C(x)=7+5x Should be the correct answer

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3 years ago

Read 2 more answers

Find the LCD of the given rational equation: -3/x+2 + 5x/x-1 = x+2/x^2-3x+2

Natali [406]

Answer:

(x - 1)( x - 2) (x + 2) = x³ -x² -4x + 4.

Explanation:

1) Given equation:

3 5x x + 2
- ------- + -------- = ---------------
x + 2 x - 1 x² - 3x + 2

2) So, the denominators are x + 2, x - 1, and x² - 3x + 2

3) The LCD is the product of the common and non common factors raised to the greatest power.

4) x + 2, and x - 1 are already prime factors

5) Factor x² - 3x + 2

x² - 3x + 2 = (x - 2)(x - 1)

6) Then, the factors are x + 2, x - 1, and x - 2, and the LCD is the product of them:
(x - 1)( x - 2) (x + 2)

7) If you expand the products (distributive property) you get:
x³ -x² -4x + 4.

5 0

3 years ago

Part A Predict what will happen to the coordinates of a point (x, y) as the point reflects across a line to produce point (x', y

mylen [45]

The list attached shows the coordinate of (x, y) after transformation when reflecting over x, y-axis, and lines y = x, y = -x

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have two lines of reflection:

y = x and

y = -x

The point is (x, y)

After reflecting over line y = x the coordinate (x, y) becomes:

(y, x)

After reflecting over the line y = -x the coordinate (x, y) becomes:

(-y, -x)

Thus, the list attached shows the coordinate of (x, y) after transformation when reflecting over x, y-axis, and lines y = x, y = -x

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2 years ago

Calculate the future value in five years of $8,000 received today if your investments pay future value a. 5 percent compounded a

zhannawk [14.2K]

The Future value is:

a) $10,210.25

b) $11,220.41

c) $12,308.99

d) $18,938.90

e) $44,835.28

What is future value?

The future value (FV) of any asset can be understood as an increase in its value at a fixed rate over a period of time. For a given principal sum P, rate of interest r, and time period t, the future value of an asset can be calculated as:

FV=P*(1+r) ^t

We can find future value as shown below:

P=$8,000

t=5 year

a) r=6%=0.06

FV=8000*(1+0.05) ^5

=8000*(1.0) ^5

=$10,210.25

b) r=7%=0.07

FV=8000*(1+0.07) ^5

=8000*(1.07) ^5

=$11,220.41

c) r=9%=0.09

FV=8000*(1+0.09) ^5

=$12,308.99

d) r=9% compounded semiannually

= 0.09

t=2*5=10

FV=8000*(1+0.09) ^10

=8000*(1.09) ^10

=$18,938.90

e) r=9 percent compounded quarterly

=0.09

t=5*4=20

FV=8000*(1+0.09) ^20

=8000*(1.09) ^20

=$44,835.28

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2 years ago

The nakagin capsule tower has 140 modules and is 14 stories high if the modules were divided evenly among the number of stories

ArbitrLikvidat [17]

To determine the number of modules that is in each story, we simply divide the number of modules by the number of stories.
= 140 / 14
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= 10 modules / story
Therefore, by even distribution we note that there are 10 modules per story.

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3 years ago