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2 years ago

5n2+100=30n , need help explaining how you would work this out

Mathematics

1 answer:

andreev551 [17]2 years ago

6 0

Answer:

n = 3 + i√11 , 3 - i√11

Step-by-step explanation:

This is a quadratic equation and the first step is to write it in standard form:

5n^2 - 30n + 100 = 0

Divide through by 5:

n^2 - 6n + 20 = 0

Completing the square:-

(n - 3)^2 - 9 + 20 = 0

(n - 3)^2 = -11

n - 3 = i√11 or - i√11

n = 3 + i√11 , 3 - i√11

(2 complex roots).

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One step equations: integers 3x=36

Scorpion4ik [409]

Answer:

Step-by-step explanation:

3 times 12 is 36

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3 years ago

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Question 6 of 9 (3•8) • 1 = 3 • (8.1) O A. True B. False

olga nikolaevna [1]

Answer:

No, (false). The question I assume was: $(3*8)*1=3*(8.1)$

Step-by-step explanation:

1. Multiple: 3 * 8 = 24

2. Multiple: The result of step No. 1: * 1 = 24 * 1 = 24

3. Conversion a decimal number to a fraction: 8.1 = $\frac{81}{10}$ = $\frac{81}{10}$

a) Write down the decimal 8.1 divided by 1: 8.1 = $\frac{81}{1}$

b) Multiply both top and bottom by 10 for every number after the

decimal point. (For example, if there are two numbers after the decimal

point, then use 100, if there are three then use 1000, etc.)

$\frac{8.1}{1}$ = $\frac{81}{10}$

Note: $\frac{81}{10}$ is called a decimal fraction.

c) Simplify and reduce the fraction

$\frac{81}{10} = \frac{81*1}{10*1} = \frac{81}{10}$

4. Multiple: 3 * 8.1 = $\frac{3*81}{1*10}$ = $\frac{243}{10}$

Multiply both numerators and denominators. Result fraction keep to lowest

possible denominator GCD(243, 10) = 1. In the next intermediate step the

fraction result cannot be further simplified by canceling.

In words - three multiplied by eighty-one tenths = two hundred forty-three

tenths.

5. Compare: The result of step No. 2 vs The result of step No. 4: = 24 vs $\frac{243}{10}$ = $\frac{24}{1}$ vs $\frac{243}{10}$ = $\frac{24*10}{1*10}$ vs $\frac{243}{10}$ = $\frac{240}{10}$ vs $\frac{243}{10}$ = 240 vs 243 = No

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3 years ago

Mark rode his bike 22/8 miles. which mixed number shows the fraction of miles he rode his bike

Vlad1618 [11]

Answer:

Hey there!

There aren't any options, but the correct answer would be 2 6/8, which simplifies to 2 3/4.

Let me know if this helps :)

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3 years ago

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diamong [38]

Answer:

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3 years ago

Which statements about the system are true? Check all that apply. y =1/3 x – 4 3y – x = –7 The system has one solution. The syst

fredd [130]

Answer:

The true statements are:

- The system consists of parallel lines

- Both lines have the same slope

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

where a is the coefficient of x , b is the coefficient of y and

c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

a is the coefficient of x , b is the coefficient of y and c is the

numerical term

* Lets solve the problem

∵ The system of equation is:

y = 1/3 x - 4 ⇒ (1)

3y - x = -7 ⇒ (2)

- Lets put equation (1) in the form of equation (2)

∵ y = 1/3 x - 4 ⇒ multiply both sides by 3

∴ 3y = x - 12 ⇒ subtract x from both sides

∴ 3y - x = -12

∴ Equation (1) is 3y - x = -12

∵ Equation (2) is 3y - x = -7

∵ The coefficients of x and y in the two equation are equal

∵ The numerical terms in the two equations are not equal

∴ The equations have no solution because their lines are parallel

∵ The parallel lines have same slope

* The true statements are

- The system consists of parallel lines

- Both lines have the same slope

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2 years ago

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