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3 years ago

Solve for y in the following equation.

Mathematics

1 answer:

Tju [1.3M]3 years ago

5 0

Answer:

$y = \frac{z^2 - x}{2}$

Step-by-step explanation:

Given:

$\sqrt{x + 2y} = z$

Required:

Solve for y (make y the subject of the formula)

SOLUTION:

$\sqrt{x + 2y} = z$

Square both sides

$(\sqrt{x + 2y})^2 = z^2$

$x + 2y = z^2$

Subtract both sides by x

$2y = z^2 - x$

Divide both sides by 2

$y = \frac{z^2 - x}{2}$

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What is the z-score of 0.6064?

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The number 0.6064 represents the area under the standard normal curve below a particular z-score.

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X/10 = 2 Solve for x x = ?

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Answer:

20 ÷ 10 = 2

So x = 20

Step-by-step explanation:

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Solve by Completing the Square: x2 + 8x + 6 = 0

BlackZzzverrR [31]

Answer:

X2+8X+6=0

We add all the numbers together, and all the variables

X^2+8X+6=0

a = 1; b = 8; c = +6;

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Δ = 82-4·1·6

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The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

X1=−b−Δ√2aX2=−b+Δ√2a

The end solution:

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X2=−b+Δ√2a=−(8)+210√2∗1=−8+210√2

Step-by-step explanation:

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3 years ago

Here are the numbers on a table that shows student's scores for 10 rounds of a video game.

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Answer:

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| 7 + m | - 4 > 8

cestrela7 [59]

Answer:

m > 5 or m < -19

Step-by-step explanation:

We are given the Inequality:

$\displaystyle \large{ |7 + m| - 4 > 8}$

First, add both sides by 4.

$\displaystyle \large{ |7 + m| - 4 + 4 > 8 + 4} \\ \displaystyle \large{ |7 + m| > 12}$

Absolute Value Property

$\displaystyle \large{ |a| = \sqrt{ {a}^{2} } }$

Given a = any expressions and b = any positive numbers, zero or any expressions.

$\displaystyle \large{ |a| = b \longrightarrow a = \pm b}$

From the Inequality, change > to equal

$\displaystyle \large{ 7 + m = \pm12}$

Subtract 7 both sides.

$\displaystyle \large{ 7 - 7 + m = \pm12 - 7} \\ \displaystyle \large{ m = \pm12 - 7}$

±12-7 can be 12-7 = 5 or -12-7 = -19

$\displaystyle \large{ m = 5, - 19}$

Refer to the attachment. The region is when the absolute value function is greater than constant function y = 12 or a blue horizontal line.

Since the absolute graph is above constant graph when x > 5 and x <-19.

Therefore,

$\displaystyle \large{ m > 5, m < - 19}$

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