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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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You and two friends are making a gift basket. You want to keep the cost below $15 per person. Write and solve a inequality that
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C < or = to $45

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5 0
2 years ago
HELP NEEDED!!
LenKa [72]

Answer:

a

Step-by-step explanation:

Given

2| x - 3 | + 5 = 17 ( subtract 5 from both sides )

2| x - 3 | = 12 ( divide both sides by 2 )

| x - 3 | = 6

The absolute value function always returns a positive value but the expression inside can be positive or negative, that is

x - 3 = 6 OR -( x - 3) = 6

x - 3 = 6 ( add 3 to both sides )

x = 9

OR

-( x - 3) = 6 ← distribute left side

- x + 3 = 6 ( subtract 3 from both sides )

- x = 3 ( multiply both sides by - 1 )

x = - 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 9 → 2|9 - 3| + 5 = 2|6| + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True

x = - 3 → 2|- 3 - 3| + 5 = 2| - 6 | + 5 = (2 × 6) + 5 = 12 + 5 = 17 ← True

Hence x = 9 or x = - 3 are the solutions → a

6 0
3 years ago
On Monday, Raven ran 2 3 4 miles; Tuesday, 2 3 5 miles; Wednesday, 2 1 2 miles; Thursday, 2 5 8 miles; and Friday, 2 7 10 miles.
melisa1 [442]

Do you add them?? or is it multyplying 2 3 and 4??



5 0
3 years ago
Read 2 more answers
Solve the system
Alexxandr [17]

Answer:

x = \frac{2u+v}{7}

y =  \frac{2v - 3u }{7}

Jacobian value = 1/7

Step-by-step explanation:

Given data:

u = 2x -y

v = 3x + 2y

solving the system for  x and  y in terms of u and v

x = \frac{2u+v}{7}

y =  \frac{2v - 3u }{7}

The value of the Jacobian =  1/7 ( solution attached below )

Image under the transformation of the triangular region with vertices ( 0,0) , (2,4) and (2,-3) in the x-y plane is attached below

5 0
2 years ago
PLEASEEE HELP ME ASAP!!
denpristay [2]

Answer:

Hence,

The measure of ∠A is 60.065°

\m\angle A= 60.065

Step-by-step explanation:

Given:

ΔABC is a Right Angle Triangle at ∠ B = 90°

BC = Opposite side to ∠A = 13 unit

AC = Hypotenuse  = 15 unit  

To Find:

m∠A = ?  

Solution:

In Right Angle Triangle ABC ,Sine Identity,

\sin A= \dfrac{\textrm{side opposite to angle A}}{Hypotenuse}\\

Substituting the values we get

\sin A= \dfrac{BC}{AC}=\dfrac{13}{15}=0.8666\\\angle A=\sin^{-1}(0.8666)\\m\angle A= 60.065\°

Hence,

The measure of ∠A is 60.065°

\m\angle A= 60.065

7 0
3 years ago
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