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2 years ago

6|n| - 2 = 10 . What are the solutions of the equation?

Mathematics

1 answer:

DIA [1.3K]2 years ago

3 0

Answer:

n=-2 or n=2

Step-by-step explanation:

6InI-2=10

6InI=10+2

6InI=12

(6InI)/6=12/6

InI=2

n=2 or n=-2

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to which family does the function y=(x 2)1/2 3 belong? a: quadratic b: square root c: exponential d :reciprocal

Neko [114]

Answer:

option a is correct.

Step-by-step explanation:

We have given the equation:

$y=x+\frac{1}{2}^{\frac{1}{2}}+3$

Squaring both sides of the above equation we get:

$y^2=(x+\frac{1}{2})^2+9+2\cdot(x+\frac{1}{2})(3)$

After simplifying the first step

$y^2=x^2+\frac{1}{4}+x+9+3(2x+1)$

$y^2=x^2+x+6x+3+9+\frac{1}{4}$

$y^2=x^2+7x+12+\frac{1}{4}$

After final simplification we get:

$4y^2=4x^2+28x+49$

We are getting quadratic equation since, the degree in resultant is 2.

Therefore, option a is correct.

8 0

3 years ago

Read 2 more answers

How do you simplify 4³

Fantom [35]

Answer:

Your answer is 64

Step-by-step explanation:

search in google 4 to the 3rd power

8 0

3 years ago

The sum of the interior angles of a triangle is 180 the second angle of a triangle is 45 more than the first and the third angle

vfiekz [6]

First angle is x
x + (x + 45) + 2x = 180
4x + 45 = 180
4x = 180 - 45 = 135
x = 135 divided by 4
x = 33.75
first angle 33.75
second angle 78.75
third angle 67.5
checking
33.75 + 78.75 + 67.5 = 180

5 0

2 years ago

The Orchard Cafe has found that about 3% of the diners who make reservations don't show up. If 83 reservations have been made, h

daser333 [38]

Answer:

$\mu = 80.51\\\sigma = 1.56$

Step-by-step explanation:

We are given the following information in the question:

Percentage of of the diners who make reservations don't show up = 3%

Number of reservations = 83

Thus, we are given a binomial distribution with n = 83 and p = 0.97

$X\sim \text{ Binom}(p = 0.97, n = 83)$

$\mu = np = (83)(0.97) = 80.51$

Around 81 people can be expected to show up.

$\sigma = \sqrt{np(1-p)} = \sqrt{(83)(0.97)(1-0.97)} = 1.5541 \approx 1.56$

The standard deviation of this distribution is 1.56

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2 years ago

Find each side length,round to the nearest tenth if necessary 11.

vagabundo [1.1K]

We can use a modified form of the Pythagorean Theorem to find the length of x, also known as side b.

Pythagorean Theorem:

a^2 + b^2 = c^2

We can fill in the values of a^2 and c^2, and then solve for b.

14^2 + b^2 = 25^2

196 + b^2 = 625

Subtract 196 from both sides.

b^2 = 429

√ both sides.

b = 20.7

<h3>The value of x, or b, is equal to 20.7.</h3>

6 0

3 years ago