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3 years ago

What is the solution for

Mathematics

2 answers:

zimovet [89]3 years ago

5 0

9514 1404 393

Answer:

x = 3

Step-by-step explanation:

We want the solution to ...

$\dfrac{1}{x}=\dfrac{x+3}{2x^2}\\\\2x=x+3\qquad\text{multiply by $2x^2$}\\\\\boxed{x=3}\qquad\text{subtract $x$}$

SVEN [57.7K]3 years ago

4 0

Answer:

<h2>Solution :-</h2>

We have to find the value of x in

$\sf \: \dfrac{1}{x} = \dfrac{x + 3}{2x {}^{2} }$

On cross multiplication

2x² × 1 = x × (x + 3)

2x² = x² + 3x

2x² - x² = 3x

x² = 3x

x × x = 3 × x

x = 3

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Eric invited 200 of his friends to his graduation party. 75% of those invited said yes. 15% said no. The rest said maybe. 10% of

Ilia_Sergeevich [38]

Answer:

145

Step-by-step explanation:

75% of 200 = 150

75% + 15% = 90%

100% - 90% = 10%

10% of 200 = 20

10% of 150 = 15

150 + 15 - 20 = 145

145 friends attended the party.

4 0

3 years ago

A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing t

qaws [65]

The inequality that can be used to determine x is $31.91x + 7 \leq 70$

<h3>How to generate the inequality</h3>

Given data

Rental company charge per day = $31.91

Rental company charge per mile driven = $0.07

Hudson plans to drive 100 miles

Hudson has at most $70

solution

let x represent he maximum number of days Hudson can afford to rent while staying on budget. cost of number of days is:

$31.91 * x= 31.91x

As Hudson plans to ride 100 miles; cost is:

100 * 0.07 = $7

therefore number of days plus 100 miles ride is:

31.91x + 7

with a limit of less than or equal to the budget we have:

$31.91x + 7 \leq 70$

The inequality above could be used to determine x

Read more on inequality here: brainly.com/question/11613554

#SPJ1

6 0

2 years ago

What is the slope of the line passing through the points (-1,-7) and (-9,-2)?

nalin [4]

Answer: m = -5/8

Step-by-step explanation:

The general equation for slope is rise over run, also known as:

m=(y2-y1)/(x2-x1)

From the points (x, y), we can get all the variables we need.

(-1, -7) gives us x1 = -1 and y1 = -7

(-9, -2) gives us x2 = -9 and y2 = -2

If we plug all the values in, we get:

m = (-2 - (-7))/(-9 - (-1))

m = (-2 + 7)/(-9 + 1) the negatives cancel

m = (5)/(-8)

m = -5/8

7 0

4 years ago

Solve the equation. Check your solution. :) Thanks!

Elden [556K]

Hi!

-32 = 4b

4b = -32

b = -32 : 4

b = -8

3 0

3 years ago

Read 2 more answers

Find the constant $a$ such that\[(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28.\]

Colt1911 [192]

The value of constant a is -5

Further explanation:

We will use the comparison of co-efficient method for finding the value of a

So,

Given

$(x^2 - 3x + 4)(2x^2 +ax + 7)\\= x^2((2x^2 +ax + 7)-3x((2x^2 +ax + 7)+4(2x^2 +ax + 7)\\= 2x^4+ax^3+7x^2-6x^3-3ax^2-21x+8x^2+4ax+28\\Combining\ alike\ terms\\=2x^4+ax^3-6x^3+7x^2-3ax^2+8x^2-21x+4ax+28\\= 2x^4 +(a-6)x^3+(15-3a)x^2-(21-4a)x+28\\$

As it is given that

(x^2 - 3x + 4)(2x^2 +ax + 7) = 2x^4 -11x^3 +30x^2 -41x +28

In this case, co-efficient of variables will be equal, so we can compare the coefficients of x^3, x^2 or x

Comparing coefficient of x^3

$a-6 = -11\\a = -11+6\\a = -5$

So the value of constant a is -5

Keywords: Polynomials, factorization

Learn more about factorization at:

#LearnwithBrainly

4 0

3 years ago