1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
viktelen [127]
3 years ago
5

The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 – 7.2b + 390. What number of bats shoul

d be produced to keep costs at a minimum?

Mathematics
1 answer:
kozerog [31]3 years ago
6 0

Check the picture below, that's just an example of a parabola opening upwards.

so the cost equation C(b), which is a quadratic with a positive leading term's coefficient, has the graph of a parabola like the one in the picture, so the cost goes down and down and down, reaches the vertex or namely the minimum, and then goes back up.

bearing in mind that the quantity will be on the x-axis and the cost amount is over the y-axis, what are the coordinates of the vertex of this parabola?  namely, at what cost for how many bats?

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ C(b) = \stackrel{\stackrel{a}{\downarrow }}{0.06}b^2\stackrel{\stackrel{b}{\downarrow }}{-7.2}b\stackrel{\stackrel{c}{\downarrow }}{+390} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)

\bf \left( -\cfrac{-7.2}{2(0.06)}~~,~~390-\cfrac{(-7.2)^2}{4(0.06)} \right)\implies (60~~,~~390-216) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{\textit{number of bats}}{60}~~,~~\stackrel{\textit{total cost}}{174})~\hfill

You might be interested in
Solve for j. 144j2 + 21 = 85
Sphinxa [80]

Answer:

2/3

Step-by-step explanation:

I assume the 2 after the j is a square. So, we bring the 21 to the other side by subtracting it from both sides, getting 144j^2=64. Now we divide to get 64/144 = j^2. Make sure NOT to simplify it, it's perfect right now. The square root of that is \sqrt{64}/ \sqrt{144}, or 8/12, which we can now simplify to 2/3. Hope this helps!

5 0
2 years ago
Which number will have the same result when rounded to the nearest ten or hundred A-97 B-118and5 C-179 D-5091
slamgirl [31]
Lets round it to the nearest ten
A 97 ====> 100
B 118 ===> 120
C 179 ===> 180
D 5091 ==> 5090
No result yet, lets round to the nearest hindred.
A 97 ====> 100
B 118 ===> 100
C 179 ===> 180
D 5091 ==> 5100
As we can see only A give the same result when we round it to the nearest hundred and nearest ten.

5 0
3 years ago
Write an equation perpendicular to the line y=3/2x-2 that goes through (-4,3)
Goryan [66]

Answer: y=-2/3x-2/3

Step-by-step explanation:

concept to know: two lines that are perpendicular has opposite reciprocal slopes.

y=-2/3x+b

in order to find b or the y-intercept, we need to plug in a point

3=-2/3(-4)+b

3=8/3+b

b=-2/3

y=-2/3x-2/3

Hope this helps!! :)

4 0
3 years ago
2 people answer this so i can give one of you brainliest2 people answer this so i can give one of you brainliest2 people answer
Arturiano [62]
Hi, have a good day :)!!!!!
3 0
2 years ago
Read 3 more answers
Determine the scale factor for triangle abc to triangle ab^ prime c^ prime a 20 ft 10 2 b. 10 c. 20 1/2
Sergio [31]

Answer: 2

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • There are 180 students registered in a soccer camp. Of those registered, 35% are seventh graders. How many of the students regis
    11·1 answer
  • 5log2(3x+7)=0 help!!
    10·1 answer
  • Help me again please
    15·1 answer
  • The pilot of a Coast Guard patrol aircraft on a search mission had just spotted a disabled fishing trawler and decided to go in
    13·1 answer
  • The population of osaka japan declined at an average annual rate of 0.05% for five years between 1995 and 2000. If the populatio
    9·1 answer
  • write an equation of a line with the given slope and y-intercept. m = 1, b = 4 a. y = –1x 4 b. y = x – 4 c. y = 4x 1 d. y = x 4
    15·1 answer
  • Apply the technique of using nets to create an equation to solve for the surface area of the rectangular prism. -- Place answers
    10·1 answer
  • (3² +5 x (180/15)² pls help eidjwnnwjdjjsnwkfkdjanwkfodnanendnsjajejdksoejnfkdksjrf
    13·1 answer
  • Hugh has to earn at least $400 to meet his fundraising goal he only has 100 books that he plans to sell at $8 each. Which inequa
    12·1 answer
  • PLSSS HELP I’LL GIVE BRAINIEST
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!