Mathematics, 21.05.2021 17:40 ayannabrewer4408

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Answer from: simrankaurdhatt

9514 1404 393

x = ±√13x = ±3√6x = ±√66x = 0 or 8

Step-by-step explanation:

As in any "solve for" situation, you "undo" what is done to the variable.

Here, (for 3 of the 4 problems) the variable is ...

squaredmultiplied by a constantadded to a constant

We undo these operations in reverse order. First, we add the opposite of the added constant. Then we divide by the coefficient of x². Finally, we take the square root to "undo" the squaring operation.

1. 4x² -30 = 22 . . . . . . given

4x² = 52 . . . . . . . . . add 30 to both sides

x² = 13 . . . . . . . . . . . divide both sides by 4

x = ±√13 . . . . . . . . . take the square root. Both signs are solutions.

2. 3x² +4 = 166 . . . . . given

3x² = 162 . . . . . . . . add -4 to both sides

x² = 54 . . . . . . . . . . divide both sides by 3

x = ±√54 . . . . . . . . take the square root. 54 = 3²·6 has a square factor

x = ±3√6 . . . . . . . simplified result

3. (1/3)x² +14 = 36 . . . . given

(1/3)x² = 22 . . . . . . . . add -14 to both sides

x² = 66 . . . . . . . . . . . multiply both sides by 3

x = ±√66 . . . . . . . . take the square root

4. The same "undo" idea applies. Here, we can start with the square root.

(x -4)² = 16 . . . . . given

x -4 = ±4 . . . . . . . square root

x = 4 ± 4 . . . . . . add 4 to both sides

This means x = 4-4 = 0, or x = 4+4 = 8.

The solutions are x = 0, x = 8.

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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rauschg

rauschg · hand

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step-by-step explanation:

Answer from: Quest

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: $\sqrt{\frac{ {72x}^{16} }{ {50x}^{{{36} }}}} = \frac{ { \sqrt{72}x}^{ {16}^{ (\frac{1}{2}) } } }{ { \sqrt{50} x}^ {{36}^{ (\frac{1}{2}) } }}$ multiply exponents per exponent rules to get: $\frac{ { \sqrt{72}x}^{8} }{ { \sqrt{50}x}^{18} }$ remember you subtract exponents from the denominator and add exponents in the numerator so: $\sqrt{ \frac{72}{ 50}} \times ( {x}^{(8 - 18) } ) = \sqrt{ \frac{36}{25} } \times ( {x}^{ - 10} )$ simplify further: $\frac{6}{5} {x}^{ - 10} = \frac{6}{5 {x}^{10} }$ so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.
Plz hurrywhat is the simplified form of ? assume x ≠ 0.

Plz hurrywhat is the simplified form of  ? assume  x  ≠ 0.

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