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3 years ago

[2/(n+2)] - (3/n+2) = 5 Solve by u-substitution

1 answer:

7 0

let n+2=u so, the equation became= [2/u]-[3/u]=5 => [(2+3)/u]=5 => 5/u=5 => u=5/5=1 thus, u=1 we know u=n+2 so, n+2=1 => n=1-2=-1 so, n=-1

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Laura’s printer takes 5 minutes to print 85 pages.

evablogger [386]

Answer:

17.

Step-by-step explanation:

Divide 85 by 5 to find the unit rate:

$\frac{85}{5} =17$

17 represents the amount of pages printed for 1 minute.

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3 years ago

Read 2 more answers

Four hundred meters of fencing is provided to fence three sides of a rectangular pasture. One side is bounded by an existing wal

Sidana [21]

150x100= 15,000 square meters
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100 + 300 = 400 meters of fencing

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3 years ago

Numbered disks are placed in a box and one disk is selected at random. If there are 6 red disks numbered 1 through 6, and 2 yell

Tatiana [17]

Answer:

$\frac{3}{4}$

Step-by-step explanation:

Total number of red disk=6

Total number of yellow disk=2

Total disk=6+2=8

Odd number=1,3,5,7=4

Odd number on red disk=1,3,5=3

Probability, $P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}$

Using the formula

The probability of getting odd number disk= $\frac{4}{8}=\frac{1}{2}$

The probability of getting odd numbered red disk= $\frac{3}{8}$

The probability of selecting a red disk,given that an odd numbered disk is selected= $\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}$

Using conditional probability

$P(A/B)=\frac{P(A\cap B)}{P(B)}$

6 0

3 years ago

Subtract - 7x2 + 1 from – 2x2 - 4x.

Black_prince [1.1K]

Answer:

11-4x

Step-by-step explanation:

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3 years ago

The cost to produce a product is modeled by the function f(x) = 5x2 − 70x 258, where x is the number of products produced. compl

ad-work [718]

The minimum cost to produce the product is $7.

What are functions?

A function from a set X to a set Y allocates exactly one element of Y to each element of X.

To determine the minimum cost:

We have to determine the minimum cost of producing this product.

Since $f(x) = 5x^{2} -70x+258$ .

Now, consider the equation $5x^{2} -70x+258= 0$ .

Dividing the above equation by 5, we get

$x^{2} -70x/5+258/5=0\\x^{2} -14x+258/5=0$

Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing.

Since the coefficient of 'x' is 14, and half of 14 is '7'.

So, adding and subtracting from the above equation.

$x^{2} -14x+(7)^{2} -(7)^{2}+258/5=0\\x^{2} -14x+49 -49+258/5=0\\(x-7)^{2} -49+258/5=0\\(x-7)^{2} +258-245/5=0\\(x-7)^{2} +13/5=0\\5(x-7)^{2} +13=0$

Now, we have to determine the minimum cost to produce the product.

Since $f(x) = 5x^{2} -70x+258$ .

$f'(x) = 10x-70$

Now, let f'(x)=0

$10x-70=0\\10x=70$

Therefore, x=7

Now, consider which is greater than 0.

Therefore, x= 7 is the minimum cost.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

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2 years ago