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Sergeeva-Olga [200]

2 years ago

13

what is the distance between the line going through points (1, -5/4) and (1/3, -3/4) and the point (2, -3)?

1 answer:

Mamont248 [21]2 years ago

6 0

Answer:

1.60078105936

Step-by-step explanation:

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Describe a way that someone could estimate the length of a book

postnew [5]

They could look at the length of the book and the size of the font to estimate the length of a book.

4 0

2 years ago

Simplify the expression (2x − 9)(x + 6)

kenny6666 [7]

<u>Answer: </u>

Simplified form of given expression (2x – 9 )( x + 6 ) is $2 \mathrm{x}^{2}+3 \mathrm{x}-54$

<u> Solution: </u>

We need to simplify following expression.

(2x – 9) ( x + 6)

For sake of simplicity lets first assume 2x – 9 = A

So expression becomes A(x+6)

= Ax + A6

Now replace A by 2x – 9

= (2x – 9 ) x + (2x – 9 ) 6

$=2 \mathrm{x}^{2}-9 \mathrm{x}+12 \mathrm{x}-54$

On simplification, we get

$=2 \mathrm{x}^{2}+3 \mathrm{x}-54$

Hence simplified form of given expression (2x – 9 )( x + 6 ) is $= 2 \mathrm{x}^{2}+3 \mathrm{x}-54$

7 0

2 years ago

A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x)=72,000+60x

myrzilka [38]

Answer:

Step-by-step explanation:

Given

Cost Price $c(x)=72000+60x$

Price $p(x)=300-\frac{x}{20}$

Revenue generated $R(x)=P(x)\times x$

where x=no of units

$R(x)=300x-\frac{x^2}{20}$

To get maxima and minima differentiate R(x)

$\frac{\mathrm{d} R(x)}{\mathrm{d} x}=0$

$\frac{\mathrm{d} R(x)}{\mathrm{d} x}=300-2\times \frac{x}{20}=0$

$300=2\times \frac{x}{20}$

$x=3000$

maximum Revenue $R(x)=(300-\frac{300}{20})\times 300=4,50,000$

(b)Profit=Revenue - cost

$Profit=xp(x)-c(x)$

$Profit=300x-\frac{x^2}{20}-72000-60x$

$Profit(z)=240x-\frac{x^2}{20}-72000$

differentiate Profit to get maximum value

$\frac{\mathrm{d} z}{\mathrm{d} x}=240-2\times \frac{x}{20}$

$x=2400$

maximum Profit $z=2,16,000$

(c)Now company decided to tax the company $ 55 for each set

Profit $(z_1)=xp(x)-c(x)-55x$

$z_1=300x-\frac{x^2}{20}-72000x-60x^2-55x$

$z_1=185x-\frac{x^2}{20}-72,000$

differentiate Profit to get maximum value

$\frac{\mathrm{d} z_1}{\mathrm{d} x}=0$

$\frac{\mathrm{d} z_1}{\mathrm{d} x}=185-\frac{2x}{20}=0$

$x=1850$

$P(z_1\ at\ x=1850)=99125$

company should charge 207.5 $ for each set

6 0

3 years ago

Marysya12 [62]

Answer:

why dont youbsearch yourself and get your answer yourself

Step-by-step explanation:

why dobt you seach to us elf and get to ur answer yourself

4 0

3 years ago

Find the distance between the points A and B given below round your answer to the nearest hundredth

trasher [3.6K]

Answer:

$\sqrt{13}$ or 3.61

Step-by-step explanation:

Draw a right triangle and use the Pythagorean Theorem to find the hypotenuse, using the given points to find the length of the two sides. See the attachment.

8 0

1 year ago