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raketka [301]
3 years ago
11

Solve for x:(x-1)^3/2 = 27

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
8 0
(x-1)^3 / 2 = 27

For equations like this, we want to isolate x in order to get the value of it.

First, let's multiply both sides by 2 to eliminate the fraction.

(x-1)^3 = 27(2)

Now, let's take the cube root of both sides

(x-1) = ∛(27 * 2)

Now, simplify the root

x - 1 = 3∛2

Add both sides by 1

x = 1 + 3∛2

That's your answer.

Have an awesome day! :)
Angelina_Jolie [31]3 years ago
4 0
If you want the decimallll, x = 4.779763147, you probably don't need that. But whatever. XD
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Which list is in order from least to greatest? A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3 B) 2.5 *10^3, 7 * 10^3, 9.25 *
vladimir1956 [14]

ANSWER

A) 9.4 * 10^-8, 9.25 * 10^-6, 2.5 * 10^3, 7* 10^3

EXPLANATION

The numbers are given in standard form.

The first criteria we will use to order them is the exponents.

The bigger the exponents the bigger the number.

The second criteria is that, if the exponents of any two numbers are the same, then we use the numbers multiplying the powers of 10 to order.

9.4 * 10^{-8}  \: <   \: 9.25 * 10^{-6} \:  <  \: 2.5 * 10^3 \:  <  \: 7* 10^3

The correct choice is A.

6 0
3 years ago
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This diagram shows triangles ABC and PQR.
Stels [109]

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<h3>A reflection across the line x=3, a reflection across the x-axis and a dilation with a scale factor of 2, because each side is double.</h3><h3>Step-by-step explanation:</h3>

We know that the first transfomration is a rotation 90° clockwise.

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3 years ago
Y=–3x + 6y=9 What is the solution to the system of equations? (–21, 9) (9, –21) (–1, 9) (9, –1)
weqwewe [10]

ANSWER


The solution is (-1,9)

EXPLANATION

We want to solve the simultaneous equations


y=-3x+6---(1)


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We substitute equation (2) in to equation (1), to obtain


9=-3x+6


This has now become a linear equation in a single variable x.


We solve for x  by grouping like terms.


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-1=x.


Hence, the solution is (-1,9)





7 0
3 years ago
Read 2 more answers
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