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
strojnjashka [21]
3 years ago
7

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.
y=-8x^2+242x-1056
Mathematics
1 answer:
Alex17521 [72]3 years ago
3 0

The equation is that of a parabola, meaning that the maximum (or sometimes minimum) is 1/2 the sum of the solutions found using the quadratic equation.

y = 0 for the 2 solutions to {-b +/- sqrt[b2 - 4ac]} / 2a, where a = -3, b = 152 and c = -1150 from the equation for y. Plug a, b and c into the quadratic formula to get x = 9.2571 and x = 41.4095 as the 2 solutions.

9.2571 + 41.4095 = 50.6666... and the midpoint is 25.3333...

When x = 25.3333..., y = 775.33333.....

To the nearest cent, x=25.33 results in a profit of 775.33.

When x=25.25, Y = 775.31

When x=25.4, Y = 775.32

These are both less than 775.33 when x = 25.33.

You might be interested in
That’s the pic of it and I need the answer PLEASE
ser-zykov [4K]

Answer:

45 degrees

Step-by-step explanation:

6 0
3 years ago
(21 POINTS) Don't explain answer just put what you got, I'm only comparing answers that's all.
m_a_m_a [10]

Answer:

This may not be that accurate as I am a bit rusty with trigonometry:

tan D: d/f

sin F: f/e

tan F: f/d

cos F: d/e

sin D: d/e

cos D: f/e

8 0
3 years ago
HELP I'M FAILING .....<br> so if you have 300 coins and you take away half how much do you have left
My name is Ann [436]
You will have 150 left
8 0
3 years ago
Read 2 more answers
Help me solve the following?
Semmy [17]

Answer:

A. n=70

Step-by-step explanation:

Let the number be n

According to the question

15+n=85

Subtract 15 from both sides

n=70

Hope it helps:-)

4 0
3 years ago
A 96 ft tree casts a shadow that is 120 ft long. What is the angle to the nearest hundredth the sun makes with the ground?
Alinara [238K]

Answer:

The angle to the nearest hundredths is 38. 66 °

Step-by-step explanation:

From the question above the events will form a right angle triangle.  From the triangle above the opposite side is the height of the tree. The adjacent side is the length of the shadow. The x value is the angle formed.

From the triangle,

height of tree (opposite) = 96 ft

length of shadow(adjacent) = 120 ft

angle formed = x

Using the SOHCAHTOA principle,

tan x = opposite/adjacent

tan x = 96/120

tan x = 0.8

x = arctan(0.8)

x =  38.659808254

6, immediately after the decimal → tenth value

5  → hundredth value

9  → thousandth value

The thousandth value(9) is greater than 5 so we give 1 to the hundredth value(5) to make it 6.

To the nearest hundredth ,

x = 38. 66 °

5 0
3 years ago
Other questions:
  • Determine la ecuación general de la recta que pasa por los puntos (1,4); (- 2, - 5) y grafíquela.
    15·1 answer
  • If n = 37 cm and l = 12 cm, what is the length of m?
    12·1 answer
  • Name three numbers that would be placed between 5.89 and 5.9 on a number line
    5·1 answer
  • What does the slope of the line represent?​
    14·1 answer
  • Expand 8x - 2x + 3(-4x+9)
    11·2 answers
  • Casandra is training for a 10 mile race.On the first day of training she runs 4 miles, each day after that sge adds on 0.5 mile.
    12·1 answer
  • Expand: In 2a3/b4<br> In 2 + 3 In a - 4 In b<br> In 2 - 3 In a - 4 In b<br> In 2-3 In a + 4 In b
    12·1 answer
  • Under which angle conditions could a triangle exsist
    12·2 answers
  • Following e.g. C, how do you do D? 30 points
    15·2 answers
  • Evaluate the expression if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2 | 16 + 4 ( 3 q + p )
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!