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. y=-x^2+72x-458 We need to sell each widget at $ ___ in order to make a maximum profit of $ ____

Answers

Answer 1

Answer:

x = $36 , y = $ 838

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

                       [tex]y = -x^2 + 72x -458[/tex]

We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).

From the properties of a parabola equation of the form:

                      [tex]y = ax^2 + bx + c[/tex]

The vertex ( turning point ) or maximum/minimum point is given as:

                     [tex]x = -\frac{b}{2a} \\\\x = -\frac{72}{-2} = 36[/tex]

The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:

                    [tex]y ( 36 ) = - ( 36 )^2 + 72 ( 36 ) - 458\\\\y ( 36 ) = -1296 + 2592 - 458\\\\y ( 36 ) = 838[/tex]

The maximum profit would be y = $838


Related Questions

While making oatmeal cookies, Angela needs to add cup of milk to her dough. However, she has only a -cup measuring cup. How many times does she need to fill the measuring cup to pour cup of milk?

Answers

Answer:

Once

Step-by-step explanation:

She needs 1 cup of milk.

She has a cup measuring cup.

Therefore she will only to fill the measuring cup to pour cup of milk.

Answer:

1

Step-by-step explanation:

Let f(x) = 5x + 4 and g(x) = −2x + 1. Find the indicated value f(6)+g(-8) plz help quickly

Answers

Answer:

The answer is 51

Step-by-step explanation:

f(x) = 5x + 4

g(x) = −2x + 1

To find f(6)+g(-8) first find f(6) and g(-8) and add them

For f(6) we have

f(6) = 5(6) + 4

= 30 + 4

= 34

For g(-8)

g(-8) = - 2(-8) + 1

= 16 + 1

= 17

So we have

f(6)+g(-8) is

34 + 17

= 51

Hope this helps you

can someone explain how to solve this? i’ll give brainliest :)

Answers

Answer:

add 10 on both sides

7<X

So X has to be bigger than 7

So 8,9,10, and 1000 can all be X.

Step-by-step explanation:

Answer:

7 < x

Step-by-step explanation:

the inequality is -3< x-10

-3 < x-10   add 10 in both sides -3+10 <x-10+107< x+07 < x

any number that is greater than 7 can be a solution

Which of the following is a like radical to 3 square root 7x

Answers

Answer:

A: 4(\root(3)(7x))

Step-by-step explanation:

Just took the test answer above is wrong this one is right.

.swag.

Answer: A

Step-by-step explanation: tis A. edge 2023 :)

I NEED HELP :_( Which of the following points is in the solution set of y > -x∧2 + 5? (0, 5) (2, 4) (1, 3)

Answers

Answer:

[tex]\huge\boxed{(2;\ 4)}[/tex]

Step-by-step explanation:

We have

[tex]y>-x^2+5[/tex]

Put the coordinates of the given points and check the inequality:

For (0; 5) → x = 0; y = 5

[tex]5>-0^2+5\\5>0+5\\5>5\qquad\bold{FALSE}[/tex]

For (2; 4) → x = 2, y = 4

[tex]4>-2^2+5\\4>-4+5\\4>1\qquad\bold{TRUE}[/tex]

For (1; 3) → x = 1, y = 3

[tex]3>1^2+5\\3>1+5\\3>6\qquad\bold{FALSE}[/tex]

Answer:

y>-x²+5

taking(0, 5)

5>-0²+5

5>5 false

taking 2,4

4>-2²+5

4>-4+5

4>1 true

taking 1,3

3>-1²+5

3>6false

so 2,4 is your answer

Paige has 3 coats: a pink one, a red one, and a white one. She has a black scarf, a gray scarf and 1 set of white gloves. Determine the different combinations Paige has for staying warm if she always wears a coat, a scarf, and gloves. For your answer, list the total number of possibilities and all possible combinations she has.

Answers

Hi there, again! Hopefully this helps, again!

------------------------------------------------------------------------------------------------------------

Since she has 3 coats, 2 scarfs, and 1 glove:

She has 6 ways to choose a coat, a scarf, and a glove(s).

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

My 6 combinations:

1.) Red coat, black scarf, white glove(s).

2.) White coat, grey scarf, white glove(s).

3.) Pink coat, black scarf, white glove(s).

4.) Red coat, grey scarf, white glove(s).

5.) White coat, black scarf, white glove(s).

6.) Pink coat, grey scarf, white glove(s).

Answer:
Paige has 6 possible combinations.

Working out:
In photo.

graph y= - x - 6 on a graph

Answers

Answer:

(Picture below)

Step-by-step explanation:

To solve this you will first need to make a coordinate plane that is 10 by 10.

After you have done that you will need to know what slope intercept form is. Slope intercept form is [tex]y=mx+b[/tex] and the equation that was given was [tex]y=-x-6[/tex]. In the formula [tex]y=mx+b[/tex], [tex]m[/tex] is the slope or rise over run and b is where the line crosses the y axis.

Now that you know the basics of slope intercept form we can start graphing. so b in this equation is -6, so we will put the first point on -6. after we have done that we can start putting the points of the line. So since the slope is just -1x  we will have to go down one and go to the right one about 3 times and just to finish it up go up and left on 3 times to. And there you have it.

please help me. Need answer asap.

Answers

Answer:

x=11.2

Step-by-step explanation:

Add the equations.

-10y=40

y=-4

input y

5x-8=48

5x=56

x=56/5

x=11.2

Answer:

x = 11.2 and y = -4

Step-by-step explanation:

Add the two equations

-5x -12y = -8

5x+2y = 48

-------------------

-10y = 40

Divide by -10

-10y/10 = 40/-10

y = -4

5x+2y = 48

5x +2(-4) = 48

5x -8 = 48

Add 8 to each side

5x = 56

Divide by 5

5x/5 = 56/5

x = 56/5

x =11.2

Which two solid figures have the same volume?

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

Help help help help
Plz

Answers

Answer:

Step-by-step explanation:

Probability of getting any number less than 6 = 2/6 =1/3

So, It is unlikely

Answer:

2/6 or 1/3

Step-by-step explanation:

the two umbers less than 6 or 2 and 4. In total on the dice there is 6 numbers. so 2/6 is tha answer and then we spimlify

Luis and Darcy are required to write essays for their English class. The table shows the number of words they wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228 Part A What is the mean number of words in Luis’s essays?

Answers

Answer:

210.8 (mean for Luis), 241.5 (mean for Darcy)

Step-by-step explanation:

Luis 178 + 213 + 198 + 245 + 236 + 198 + 221 + 253 + 189 + 177 = 2108

2108/10 = 210.8 (mean for Luis)

Darcy 231 + 210 + 245 + 259 + 286 + 245 + 231 + 244 + 236 + 228 = 2415

2415/10 = 241.5 (mean for Darcy)

Answer:

it is 210.8

Step-by-step explanation:

IS MY ANSWER CORRECT IS IT A? Please help!!!

Answers

Answer:

Below

Step-by-step explanation:

● 2-a > -12+4

●2-a > -8

Substract 2 from both sides

● 2-a-2 > -8-2

● -a > -10

Multiply both sides by -1 and switch the sign

● a < 10

So if a is less than 10 we aren't sure if it is less than 6 but it could be greather than it .

Yes, you are correct! The six is bigger because it comes down to a negative number when subtracting from 2

hope this helps!

Is the sequence arithmetic or geometric? 1, 2, 4, 8, 16, ...

Answers

Answer:

The answer is geometric

Step-by-step explanation:

    To solve this problem you will need to know the difference between an arithmetic and a geometric.

    An arithmetic is a sequence where a person is adding the same number over and over again so lets say you start with 1 and the common difference (the number being added each time) is 2, the sequence will look something like this 1, 3, 5, 7, 9 and so on.

    A geometric sequence is when the same number is being multiplied over and over again. So lets say that the number we start with is 2 and you are multiplying by three every single time, so you would get a sequence looking like this 2, 6, 18, 54 and so on.

    We can see in the sequence that the number that is being multiplied over and over again is 2 so the answer is a geometric sequence.

Seems way to fishy what do you think fine I’ll fight u

The graph for the equation y = x minus 4 is shown below. On a coordinate plane, a line goes through (0, negative 4) and (4, 0). Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions? y minus x = negative 4 y minus x = negative 2

Answers

Answer:

The correct option is:

y - x = -4

Step-by-step explanation:

The graphed equation is:

y = x - 4

The equation which will have infinite number of solution should overlap the graphed equation at infinity points.

It is only possible when both the equations are exactly same.

Consider the line given:

y - x = -4

Rearrange the equation:

y = x - 4

Thus, it is the same as the first equation.

Verify for point (0,-4)

y - x = -4

-4 - 0 = -4

-4 = -4

Proved.

Verify for point (4,0)

y - x = -4

0 - 4 = -4

0 = -4+4

0 = 0

Proved

The correct option is (1). [tex]y-x= -4[/tex]

Given equation,

[tex]y = x - 4[/tex]

the line, [tex]y = x - 4[/tex] passes through the points (0, -4) and (4, 0).

Comparing with the general equation of a straight line,

[tex]y = mx + c[/tex] , where [tex]m[/tex] is the slope and [tex]c[/tex] is the y-intercept.

The slope of the equation [tex]y = x - 4[/tex] is 1 and its The y-intercept is -4.

We know that,

Two equations will have an infinite number of solutions when they are on the same line, that is having the same slope and intercept.

Now we check for the slope and the intercept of the given options.

Option (1)  [tex]y - x = -4[/tex]

 [tex]y = x - 4[/tex]

Here the slope is 1 and y intercept is -4, which is the same as the given equation and both equations will have an infinite number of solutions.

Now option (2).

[tex]y - x = -2[/tex]

[tex]y=x-2[/tex]

The slope is 1 and y intercept is -2  

The slope is the same as the given equation but the intercept is different giving no solution.

Hence the correct option is (1). [tex]y-x= -4[/tex]

For more details follow the link:

https://brainly.com/question/11897796

 

Find the output. y. when the input. x,is - 1.

Answers

Answer:

the answer is 3

Step-by-step explanation:

if on the x-axis is -1 go over to -1 on the x- axis and then go up to the peak of the line and on the y- axis it would be 3

y=3

The value of output will be 3.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The value of input (x) = - 1

Now,

Since, The value of input (x) = - 1

By graph it is clear that;

At value x = - 1, we get;

The value of output (y) = 3

Thus, The value of output (y) = 3

Learn more about the coordinate visit:

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According to the diagram below, LMK = XYZ by HL. If the Pythagorean
theorem is used to show LK=XZ. congruence can also be shown by which of
the following theorems?

A. AAS
B. НА
C. LA
D. SSS

Answers

Answer: D. SSS

SSS = side side side, basically it says that if we have three pairs of congruent corresponding sides, then we have enough information to prove the triangles congruent. The first two pairs of sides are visually shown by the tickmarks. The third pair of sides is LK = XZ as found by the pythagorean theorem. The pythagorean theorem only works for right triangles.

the water was pumped out of a backyard pond. what is the domain of this graph?

A all real numbers less than or equal to 8

B all positive real numbers

C Real numbers from 0 to 8

D all integers less than or equal to 8​

Answers

Answer:

C. Real numbers from 0 to 8

Step-by-step explanation:

Given:

The graph above

Required

Determine the domain of the graph

The first step is to get the range of the depth of the pond

[this is plotted along the y axis]

The highest plot on the y axis is 95 and the least is 0

The next is to determine the corresponding time for the value listed above

When y = 95, x = 0

When y = 0, x = 8

The domain is x: 0 to 8

From the list of given options, option C correctly answers the question.

fill in the blank with <,>,or,= to make the statement true -1 1/2 _ -1/4

Answers

Answer:

<

Step-by-step explanation:

Since it is a negative value, whatever fraction is closer to 0 will be greater.

please help answer this question as soon as possible!

Answers

Answer:

[tex]a_{n}[/tex] = 10.5 - 3n

Step-by-step explanation:

The explicit rule for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

A recursive formula has the form

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d ( where d is the common difference )

Given

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 ⇒ d = - 3

Thus explicit rule with a₁ = 7.5 and d = - 3

[tex]a_{n}[/tex] = 7.5 - 3(n - 1) = 7.5 - 3n + 3 = 10.5 - 3n

1. Find P(rolling 2 or 5) with one number cube.

Answers

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when rolling 1 die

1,2,3,4,5,6

There are 2 outcomes that fit the category of 2 or a 5

P ( rolling 2 or a 5) = number of 2's or 5's / total number of outcomes

                               = 2/6

                               =1/3

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

A fair dice has 6 outcomes, 1, 2, 3, 4, 5, 6.

The outcomes 2 and 5 are 2 outcomes out of total 6 outcomes.

[tex]\frac{2}{6}=\frac{1}{3}[/tex]

Answer it pls and no memes

Answers

Answer:

There's two of them, of which are the 3rd and 5th option

Step-by-step explanation:

The formula for calculating a prism is length times width, times the height because it is a 3d object. Length times width is the same as B(base), so those two are the exact same. Don't let that fool you.

Here's a little abstract context:

You've got one loaf of bread right? Well, pretend it's 3 inches by 4 inches. You have one slice, one layer, with 12 inches squared as its area. To make it a loaf, you stack the layers up by multiplying that slice of bread by the value of h.

Find 83 1 3 % of 384 please help I really need it

Answers

Answer:

320

Step-by-step explanation:

0.83333333x384=319.9999999=320

8,313% of 384 is...384•8.313=3192.192

pls help !
simplify

Answers

Answer:

B

Step-by-step explanation:

Sqaure roots can be rewritten as fractions.

The numerator will be rewritten as 6^(1/4)

The denominator will he written as 6^(1/5)

Now u can subtract the power, but u have to find a common denominator so it is now (5/20)-(4/20)

The denominator stays the same so you are left with 1/20 which is still the power over 6

6^1/20

Answer:

[tex]6^{\frac{1}{20} }[/tex]

Step-by-step explanation:

[tex]6^{\frac{1}{4} } /6^{\frac{1}{5} }[/tex]

1/4 - 1/5 = 1/20

A region is said to be____if it is completely
enclosed by its constraints.

Answers

Answer:

Step-by-step explanation:

A region is said to be closed if it is completely

enclosed by its constraints

A region is said to be a closed area if it is completely enclosed by its constraints.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. For example, the space occupied by the circle in a two-dimensional plane is called the area of the circle.

The area of the circle is given by the formula below:-

Area = πr²

Where r is the radius of the circle.

Therefore, the region is said to be a closed area if it is completely enclosed by its constraints.

To know more about an area follow

https://brainly.com/question/25292087

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Felix drew two box-and-whisker plots to compare the same sets of data: In the form of a paragraph, use complete sentences to describe some of the differences in the prices of the two sets of books. Refer to the box and whisker plots to justify your answer.

Answers

The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.

help me plz on this i just need the answer Use the given parent function f(x)=|x| to graph g(x)=|x|+5. Use the ray tool and select two points to graph each ray.

Answers

Answer:

no

Step-by-step explanation:

the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.

Given the figure below, find the values of x and z.

Answers

Answer:

z = 96; x = 8.

Step-by-step explanation:

z = 96. This is because the angle measuring z degrees is a vertical angle of the angle measuring 96 degrees, which means that the two angles are congruent.

The angle measuring 5x + 44 degrees forms a straight angle with the 96 degree angle. That means that the measurements of the two angles will add to be 180 degrees.

5x + 44 + 96 = 180

5x + 140 = 180

5x = 40

x = 8

Hope this helps!

Find the amplitude of the sine curve shown below. a. 3 b. p c. 1.5 d. 6

Answers

Answer:

Amplitude = 3

Step-by-step explanation:

Given

The sine curve above

Required

Determine the amplitude

To determine the amplitude of a sine curve, we have to calculate the distance between the horizontal line of the curve and the top or bottom of the function

Using the top of the curve as a point of reference;

Amplitude = Top of curve - Horizontal Line.

The horizontal line is always at point 0

From the graph above, the top of the curve is at point 3

Hence,

Amplitude = 3 - 0

Amplitude = 3

Please help me with this geometry question :((

Answers

Answer:

95

Step-by-step explanation:

GH = SR

SR = 30

FG =TS

TS = 39

104-39 =65

30+65 =95

The answer 95
It was if you do the math

If a function f has an inverse function, then fis one-to-one.
A) True
B) False

Answers

Answer:

true

Step-by-step explanation:

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