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4 years ago

Solving one step equation -7x=63

Mathematics

2 answers:

PIT_PIT [208]4 years ago

7 0

To solve this equation, start by dividing both sides by -7

and we have our solution of x = 9 which is our final answer.

Work is attached below.

Stels [109]4 years ago

6 0

Answer:

x=-9

Step-by-step explanation:

-7x=63

x=63/-7

x=-9

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Answer:

1a) divide both sides by 2

1b) multiply both sides by -1

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Step-by-step explanation:

To solve equations, you take advantage of the properties of equality and of identity elements.

The multiplicative identity element is 1. (Multiplying by 1 does not change the value of a number or expression.) The product of a number and its reciprocal is the multiplicative identity element.

The multiplication property of equality tells you that you can multiply both sides of an equation by the same value, and the value of the variable remains the same. (The equal sign remains true.)

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(1/2)(2x) = (1/2)(17) . . . . multiply both sides by 1/2 (equivalently, divide by 2)

x = 17/2

1b) The coefficient of x is -1. The reciprocal of that is also -1. So, we can multiply this equation by -1 to get what we're after.

(-1)(-x) = (-1)(9) . . . . multiply both sides by -1

x = -9

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you measure the period of a mass oscillating on a vertical spring ten times as follows: period (s): 0.96, 1.40, 1.57, 1.25, 1.16

Law Incorporation [45]

For the given sample, mean = 1.307 and standard deviation = 0.1865.

Given,

Sample

xi : 0.96, 1.40, 1.57, 1.25, 1.16, 1.46, 1.44, 1.50, 1.11, 1.22

Total samples N=10

Mean,

$x =$ (∑ $x_{i}$ ) / N

= (0.96 + 1.40 + 1.57 + 1.25 + 1.16 + 1.46 + 1.44 + 1.50 + 1.11 + 1.22) / 10

= 13.07/10

= 1.307

Standard deviation = $\sqrt{}$ ((∑ $x_{i}$ $-x)^{2}$ /N)

Therefore we have to calculate (∑ $x_{i} -x)^{2}$ first.

That is,

(∑ $x_{i} -x)^{2}$

= (0.96 - 1.307)² + (1.40 - 1.307)² + (1.57 - 1.307)² + (1.25 - 1.307)² + (1.16 - 1.307)² + (1.46 - 1.307)² + (1.44 - 1.307)² + (1.50 - 1.307)² + (1.11 - 1.307)² + (1.22 - 1.307)²

= 0.34781

Now standard deviation = √((∑ $x_{i} -x)^{2}$ /N)

= $\sqrt{\frac{0.34781}{10} }$

= 0.1865

Therefore, for the given sample, mean = 1.307 and standard deviation = 0.1865.

Learn more about sample here: brainly.com/question/28443861

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