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2 years ago

Solve for x: 3√5x² +25x-10√√5 = 0

Mathematics

2 answers:

bogdanovich [222]2 years ago

3 0

Answer: x = - 2√5, √5/3

Step-by-step explantion

3 √ 5 x 2 + 25 x − 10 √ 5 = 0 35x2+25x−105=0

⇒ 3√5x2 + 30x – 5x – 10√5 = 0

⇒ 3√5x(x + 2√5) – 5(x + 2√5) = 0

⇒ (x + 2√5)(3√5x – 5) = 0

x = - 2√5, √5/3

Natasha2012 [34]2 years ago

3 0

$3 \sqrt{5} {x}^{2} + 25x - 10 \sqrt{5} = 0 \\ \\ 3 \sqrt{5} {x}^{2} + 30x - 5x - 10 \sqrt{5} = 0 \\ \\ 3x( \sqrt{5} x + 10) - \sqrt{5} ( \sqrt{5} + 10) = 0 \\ \\ ( \sqrt{5} x + 10)(3x - \sqrt{5} ) = 0$

$\sqrt{5} x + 10 = 0 \\ \\ \sqrt{5}x = - 10 \\ \\ x = \frac{ - 10}{ \sqrt{5} } \\ \\ x = \frac{ - 2 \times \sqrt{5 } \times \sqrt{5} }{ \sqrt{5} } \\ \\ x = - 2 \sqrt{5} .$

$3x - \sqrt{5} = 0 \\ \\ 3x = \sqrt{5} \\ \\ x = \frac{ \sqrt{5} }{3} .$

The values of x are -2√5 & √5/3 .

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Answer:

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Step-by-step explanation:

Volume of cubes is proportional to the cube of the side length.

Using proportions,

Volume of smaller cube / 1728 = (3/4)^3

Cross multiply,

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= 1728 * (3/4)^3

= 1728 * (27/64)

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3 years ago

Turn 0.272727... into a fraction

kherson [118]

Answer:

0.272727… = 27/99

Step-by-step explanation:

(since 27 is the repeating part of the decimal and it contains 2 digits). We can reduce this fraction (a process that we'll talk more about in a future article) by noticing that we can divide both the numerator and denominator by 9 to get 0.272727… = 27/99 = 3/11.

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3 years ago

Read 2 more answers

Solve for y 3) 2y + 4x = 8

kobusy [5.1K]

Answer:

Step-by-step explanation:

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3 years ago

Dale works at a mattress store, and makes a salary plus commission. He has a $500 weekly salary and makes a 5% commission for sa

Anni [7]

Answer:

1. $\( f\circ g(x)=0.05x-150$

2. $\( g\circ f(x)=0.05x-3000$

3. The first one represents Dale's commission

Explanation:

1. The composition of the function

$f\circ g(x)=f(g(x))$

means that you first apply the function g(x) and then f(x) on the output of g(x).

That is:

f(x) = 0.05x
g(x) = x - 3000

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

2. The composition of the function

$g\circ f(x)=g(f(x))$

means that you first apply the function f(x) and then g(x) on the output of f(x).

That is:

$g(f(x))=((0.05x)-3000)=0.05x-3000$

3. Which one represents Dale's commission

To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).

Therefore, you first use g(x).

Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.

Therefore, the composition that represents Dale's commission is the first one:

$f(g(x)=0.05(x - 3000)$

$f(g(x))=0.05x-150$

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3 years ago

Type the correct answer in each box. Round the vector's magnitude to the nearest tenth.

Mama L [17]

Component form of u is (-18,13) and The magnitude of u is 22.2

<h3>What is a vector?</h3>

A vector is a two-dimensional entity with both magnitude and direction. A vector can be visualized geometrically as a directed line segment.

The component form of a vector is an ordered pair that describes the change in x and y values

This is mathematically expressed as (Δx, Δy) where Δx=x₂-x₁ and Δy=y₂-y₁

Given ;

Initial points of the vector as (14,-6)

The terminal point of the vector is (-4,7)

Here x₁=14,x₂=-4, y₁=-6,y₂=7

The component form of the vector u is (-4-14,7--6) =(-18,13)

Finding the Magnitude of the vector

u=√(x₂-x₁)²+(y₂-y₁)²

u=√-18²+13²

u=√324+169

u=√493

u=22.2

Therefore the Component form of u is (-18,13) and The magnitude of u is 22.2

To know more about vectors follow

brainly.com/question/25705666

#SPJ1

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2 years ago