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3 years ago

How To Solve The Equation 3(x-6)=10x+3 ?

Mathematics

2 answers:

dem82 [27]3 years ago

6 0

$3(x-6)=10x+3\\
3x-18=10x+3\\
7x=-21\\
x=-3$

kykrilka [37]3 years ago

4 0

<span><u>3(x-6)=10x+3</u></span>

Expand the left side:

3x-18 = 10x + 3

Subtract 3x from each side:

-18 = 7x + 3

Subtract 3 from each side:

-21 = 7x

Divide each side by 7 :

<u>-3 = x</u>

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Divide. −5 1/3÷2 3/4

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Answer:

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Step-by-step explanation:

-5 1/3 / 2 3/4

-16/3 / 11/4

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4 years ago

What if i click on the edmentum tutorial but don't do it? Can they see that too??

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3 years ago

Determine whether or not the given differential equation is separable, that is, whether it can be expressed in the form p(y) dy

Flura [38]

Answer:

Yes , it is separable

Step-by-step explanation:

We are given that DE

$\frac{dy}{dx}-2y=16+3xy+24x$

We have to find the the given DE is separable or not.

$\frac{dy}{dx}-2y=16x+3xy+24x$

$\frac{dy}{dx}=16+3xy+24x+2y$

$\frac{dy}{dx}=16+24x+3xy+2y=8(2+3x)+y(3x+2)$

$\frac{dy}{dx}=(2+3x)(8+y)$

$\frac{dy}{8+y}=(2+3x)dx$

When the DE is separable then it can be written as

$p(y)dy=q(x)dx$

Given DE is in Separable form.Therefore, it is separable.

7 0

3 years ago

The back of jake's property is a creek. Jake would like to enclose a rectangular area, using the creek as one side and fencing f

kow [346]

Answer:

The maximum possible area of the pasture is 26,450 feet square.

Step-by-step explanation:

Let us assume the width of the rectangular area = m ft

and the length of the area = k ft

Also assume: ( one side with k units IS NOT FENCED)

So, the total perimeter of the fencing is:

2 m + k = 460

or, k = 460 - 2m ........ (1)

Now, AREA OF THE RECTANGULAR PORTION = Length x Width = k x m

Put k = 460 - 2m

We get: A = m (460 - 2m)

or, A = 460 m - 2m²

We need to find the maximum for the parabolic function A = 460 m - 2m²

The function has a maximum value as the quotient in front of x^2 is negative: -2 < 0

A (max) = $c-\frac{b^2}{4a}$ where a = -2, b = 460, c = 0

= $-\frac{(460)^2}{4(-2)} = 26,450$

A max = 26,450 sq ft.

The maximum possible area of the pasture is 26,450 feet square.

7 0

4 years ago

If a game consists of picking a number from a bag of beans numbered 2, 2, 3, 4, and 5 and flipping a coin, which probabilities a

Semenov [28]

The true statement is (d) none of the above

<h3>Missing information</h3>

I. P(3 and tail)

II. P(even and head)

III .P(odd and head)

<h3>How to determine the equivalent probabilities?</h3>

We start by calculating each probability

There is only one 3 in the 5 numbers.

So:

P(3) = 1/5

The probability of a tail in a coin is:

P(Coin) = 1/2

So, we have:

P(3 and tail) = 1/5 * 1/2

P(3 and tail) = 1/10

There are three even numbers in the 5 numbers.

So:

P(even) = 3/5

The probability of a head in a coin is:

P(head) = 1/2

So, we have:

P(even and head) = 3/5 * 1/2

P(even and head) = 3/10

There are two odd numbers in the 5 numbers.

So:

P(odd) = 2/5

The probability of a head in a coin is:

P(head) = 1/2

So, we have:

P(odd and head) = 2/5 * 1/2

P(even and head) = 1/5

By comparing the results, none of the probabilities are equal.

Hence, the true statement is (d) none of the above