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AnnyKZ [126]
3 years ago
6

The cost, in millions of dollars, for a company to manufacture x thousand speed boats is given by the function C(x) = 3x2 - 30x

+ 175. Find the number of speedboats that must be produced to minimize the cost.
Mathematics
1 answer:
nalin [4]3 years ago
7 0

Answer:

  5000

Step-by-step explanation:

In vertex form, the cost function is ...

  C(x) = 3(x² -10x) +175 = 3(x² -10x +25) +175 -3(25)

  C(x) = 3(x -5)² +100

The vertex is at x=5, so the cost function will be minimized when 5000 speed boats are produced.

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(a + b)(a ² - ab + b ²)
erastova [34]
Hi there!

You can use distributive property to solve this equation.

These are the list of terms you have to multiply :
a × a² = a³
a × -ab = -a²b
a × b² = ab²
b × a² = a²b
b × -ab = -ab²
b × b² = b³

add all of those terms...
a³ - a²b + ab² +a²b -ab² + b³
simplify by adding like terms... (- a²b + a²b , ab² - ab²)

a³ + b³

Hope this helped!! :)
4 0
3 years ago
I need help. I’ve been stuck
solniwko [45]
Ok RYU? Isn’t it 110*?
3 0
2 years ago
Please help <br><br>1 through 3​
Wewaii [24]

Answer:

  1. object is moving to the right with constant speed
  2. object is moving to the left with constant speed
  3. object was stationary for a while, then started moving to the right with constant speed

Step-by-step explanation:

These graphs are of position, so the slope of the graph is the change of position with time, which is velocity. When the slope is positive, the velocity is positive, meaning its direction is to the right. When the slope is negative, the velocity is negative, meaning its direction is to the left.

When the slope is zero, the object is stationary (not moving). The position remains as it was.

1. The position vs. time curve is a straight line with positive slope. The object is moving to the right with constant velocity.

__

2. The position vs. time curve is a straight line with negative slope. The object is moving to the left with constant velocity.

__

3. The position vs. time curve is flat for a while, then increasing with constant slope. The object stayed where it was for a while, then began moving to the right (to larger values of x) with constant velocity.

7 0
3 years ago
Help help help help I have a lot of stuff to do and I need help
maw [93]

Answer:

2 5/8

Step-by-step explanation:

1 6/8 + 7/8 = 1 13/8 = 2 5/8.

6 0
3 years ago
Read 2 more answers
1+h+j.h÷4; use h=8, and j=2​
horrorfan [7]

Answer:

1+8+2/4 = 9.5

Step-by-step explanation:

yeppp that's itttt

8 0
3 years ago
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