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3 years ago

A company sells widgets. The amount of profit, y, made by the company, is

Mathematics

1 answer:

denis23 [38]3 years ago

4 0

Answer:

449.25 units

Step-by-step explanation:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation as follows :

$y=-x^2+51x-201$ ...(1)

For maximum profit,

Put dy/dx = 0So,

$\dfrac{d}{dx}(-x^2+51x-201)=0\\\\-2x+51=0\\\\x=\dfrac{51}{2}\\\\x=25.5$

Now put x = 25.5 in equation (1).

$y=-(25.5)^2+51(25.5)-201\\\\y=\$ 449.25$

so, the required answer is 449.25 units.

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Find an equation of the line that goes through the points (10,34) and (-1,10)

kotykmax [81]

Answer:

Given points are ( 10 ,34 ) and ( -1 , 10)

Step-by-step explanation:

The equation of line is given by 

first we can find slope (m) 

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

= 34-10/10+1

 =24/11

Now the equation is

y - y1 = m ( x - x1) 

y - 10 = 24/11 ( x +11)

11 ( y - 10 ) = 24 (x + 11)

11y - 110 = 24x + 264

24x + 264 +110-11y =0

24x - 11y + 374 = 0

which is the required equation 

3 0

3 years ago

The line of best fit in a scatter plot is ___________________________.

Kipish [7]

A. the most accurate trend line for the data represented

4 0

4 years ago

Halla la medida del lado de un cuadrado cuya diagonal es de 14 cm

8_murik_8 [283]

Answer:

The length side of the square is $7\sqrt{2}\ cm$

Step-by-step explanation:

The question in English is

Find the measure of the side of a square whose diagonal is 14 cmd

Let

d ----> the diagonal of a square in cm

b ---> the length side of a square in cm

we know that

Applying the Pythagorean Theorem

see the attached figure to better understand the problem

$d^2=b^2+b^2$

$d^2=2b^2$

we have

$d=14\ cm$

substitute the given value

$14^2=2b^2$

solve for b

$196=2b^2$

$98=b^2$

take square root both sides

$b=\sqrt{98}\ cm$

simplify

$b=7\sqrt{2}\ cm$

5 0

4 years ago

In which number is the value represented by the digit 9 equal to 1/10 of the value represented by the digit 9 in the number 73,9

marshall27 [118]

Answer: 90

Step-by-step explanation:

In the number 73,951, the digit 9 is on the third position, so you need to put the number of the position minus one zeros before it: ( position number 3, 3 - 1 = 2, so we put 2 zeros)

the 9 in that digit represents a 900.

now, 1/10 times that number is:

900*(1/10) = 900/10 = 90

then the answer is 90.

In the number 90, the value represented by the 9 is equal to 1./10 times the value represented by the 9 in 73,951

3 0

3 years ago

Write an equation for each line.

lesya692 [45]

Answer:

Blue (p): x = -4

Red (l) : y = 4

Black (m): y = -2x + 4

Green (n): y = x - 1

Step-by-step explanation:

For the first two, red and blue, you just simply look at what axis they lie on, and what point! Since blue is on the x, its x = -4.

The remaining two lines, I always look for the y-intercept first! You should write that down, then use RISE/RUN to figure out the slope!

I hope this helps, and I'll be here if you need me!! Have a nice day :D

7 0

3 years ago