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
My name is Ann [436]
3 years ago
8

The number of portable widgets produced weekly by Widget, Inc., is related to the weekly profit in the way:

Mathematics
1 answer:
mixer [17]3 years ago
3 0

9514 1404 393

Answer:

  • 22 widgets
  • $58,400

Step-by-step explanation:

The turning point (maximum or minimum) of quadratic function ...

  f(x) = ax² +bx +c

is at x = -b/(2a).

Here, this means the maximum profit will be had when the number of widgets produced weekly is ...

  x = -88/(2(-2)) = 22

The profit at that level of production is ...

  P(22) = (-2·22 +88)(22) -384 = 44(22) -384 = 968 -384 = 584 . . . hundreds

22 widgets must be produced weekly for the maximum weekly profit of $58,400.

You might be interested in
-4x+7=11 I need some to explain
oee [108]
-4x+7=11\\
-4x=4\\
x=-1
5 0
3 years ago
Read 2 more answers
Help me please owo due today​
Allushta [10]

Answer:

the area of the mat = total area added minus the original area of the water color painting.

length of the mat is:

L = 21 in + 3 in + 3 in because 3 in  is added to each side

L = 27 inwidth of the mat is:w = 11 in + 3 in + 3 inw = 17in

Area mat = (27 in x 17 in) - ( 21 in x 27 in)

area mat = 108 sq in is the area of the mat

4 0
3 years ago
Read 2 more answers
Triangles abc, dbe, and fbg are all symmetric about the y-axis. what are the coordinates of the centroid?
Drupady [299]

Answer:

The coordinates of the centroid are (0, 5)

Step-by-step explanation:

The coordinates of the centroid of a triangle whose vertices (x1, y1), (x2, y2), and (x3, y3) are (\frac{x1+x2+x3}{3} , \frac{y1+y2+y3}{3})

In Δ ABC

∵ A = (-20, 0), B = (0, 15), C = (20, 0)

∴ x1 = -20, x2 = 0, x3 = 20

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\frac{-20+0+20}{3} , \frac{0+15+0}{3}) = (\frac{0}{3} , \frac{15}{3}) = (0, 5)

∴ The coordinates of the centroid of Δ ABC are (0, 5)

In Δ DBE

∵ D = (-15, 0), B = (0, 15), E = (15, 0)

∴ x1 = -15, x2 = 0, x3 = 15

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\frac{-15+0+15}{3} , \frac{0+15+0}{3}) = (\frac{0}{3} , \frac{15}{3}) = (0, 5)

∴ The coordinates of the centroid of Δ DBE are (0, 5)

In Δ FBG

∵ F = (-5, 0), B = (0, 15), G = (5, 0)

∴ x1 = -5, x2 = 0, x3 = 5

∴ y1 = 0, y2 = 15, y3 = 0

∴ The centroid = (\frac{-5+0+5}{3} , \frac{0+15+0}{3}) = (\frac{0}{3} , \frac{15}{3}) = (0, 5)

∴ The coordinates of the centroid of Δ FBG are (0, 5)

∵ The three triangles are symmetric about the y-axis

→ That means they have the same centroid and it lies on the y-axis

∴ The coordinates of the centroid are (0, 5)

8 0
2 years ago
The graph of the equation below is a circle. What is the length of the radius of the circle?
storchak [24]

Answer:

17

Step-by-step explanation:

(X-4)2+(y+12)2=17^2

radius is square root of  17^2

4 0
2 years ago
Find the midpoint of A and B where A has coordinates (2,9)and B has coordinates (7,4)
valkas [14]

Answer:(4.5, 6.5)

step-by-step explanation: this is the formular for finding a midpoint of a line.

  1. <u>midpoint=x1+y1?|/2 ,x2+y2/2</u>
3 0
3 years ago
Read 2 more answers
Other questions:
  • I need to know for my hw
    12·1 answer
  • Is 6r and -15r like terms?
    6·1 answer
  • Sandy paid $23.40 for a handbag. The price of the handbag was $22.50. How much sales tax did she pay on the handbag?
    7·1 answer
  • 6) When ten people hire a boat for a week the cost per person is £56. Work out the
    5·1 answer
  • What is 44.6825 rounded to the nearest hundredth
    8·1 answer
  • Mason borrowed 1,200 from a friend to buy a new hot tub, His friend does't charge any interest and mason makes 50 payments eavh
    14·1 answer
  • Kamisha is planning to conduct a survey at her school. She has decided to interview 7 out of 30 students. If there are 510 stude
    8·1 answer
  • At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount. E
    15·1 answer
  • At noon, a barista notices she has $20 in her tip jar. If she makes an average of $0.50 from each customer, how much will she ha
    12·1 answer
  • For a school project, 6 students are working on a skit that has 4 different roles. Each role can be played by anyone, and no stu
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!