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2 years ago

The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below.

Mathematics

1 answer:

Andreas93 [3]2 years ago

7 0

Answer:

Minimum 100 bicycles
Minimum cost is 13500

Step-by-step explanation:

Given function:

C(x) = 3x^2- 600x + 43500

Minimum cost is obtained at vertex.

Vertex is determined by formula x = -b/2a, in standard form of

f(x) = ax^2 + bx + c

Vertex of the given function is:

x = -(-600)/(2*3) = 100

Cost at vertex is:

C(100) = 3*100^2 - 600*100 + 43500 = 13500

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The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo

kompoz [17]

Answer:

$h = 12$

$x = 9$

$y= 16$

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

$A = \frac{1}{2} * 15 * 20$

$i.e\ height = 20$

$A = \frac{1}{2} * 300$

$A = 150$

Let the base of the triangle be 25.

So, the area is:

$A = \frac{1}{2} * 25 * h$

$i.e\ height = h$

$A = \frac{1}{2} * 25h$

Substitute $A = 150$

$\frac{1}{2}*25h = 150$

Solve for h

$h = \frac{150 *2}{25}$

$h = 6 *2$

$h = 12$

Considering the smallest triangle

$Hypotenuse = 15$

So:

$15^2 = h^2 + x^2$

$15^2 = 12^2 + x^2$

This gives:

$15^2 - 12^2 = x^2$

$81 = x^2$

Take square roots

$9 =x$

$x = 9$

Solving for y

$x + y = 25$

$y= 25 - x$

$y= 25 - 9$

$y= 16$

7 0

2 years ago

ANYONE KNOWS THAT ANSWER FOR THIS PLEAS EHELP ME ASAP

Tasya [4]

Answer:

triangular prism

Step-by-step explanation:

Shape 1 attached is a triangular prism it has the same name and same net but is not identical as its slightly longer. The top side has 5 edges and its base has 4 edges

Has the same Faces: 5

Has the same Edges: 9

Has the same Vertices: 6

Shape 2 attached, is called a square based pyramid

It differs as its top side has 4 edges and its base has 4 edges where the base is the only common side and slope as the other one.

Faces: 5

Edges: 8

Vertices: 5

3 0

2 years ago

Evaluate 2/3+3/4 1and5/12

chubhunter [2.5K]

2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12

1 + 5/12 = 12/12 + 5/12 = 17/12 = 1 5/12

2/3 + 3/4 = 1 + 5/12

6 0

2 years ago

A country's people consume 6.6 billion pounds of candy (excluding chewing gum) per year. Express this quantity in terms of po

german

Aâ€‹ country's people consume 6.6 billion pounds of candyâ€‹ (excluding chewingâ€‹ gum) per year. Population of the country is 303 million. Specific consumption, = ((6.6*10^9 pounds)/( year* 303*10^6 persons))*(year/ 12 months) =1.8 pounds/(months*persons)

4 0

2 years ago

If triple the difference of a number and two is three more than the number.

aksik [14]

Answer:

Rephrase that so that x=the number.

3+2x=x

(-2x) => 3=-x

(*-1) => -3=x

Therefore the number is -3!

Step-by-step explanation:

hope this helps :)

5 0

1 year ago