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=-x^2+90x-454
Answers
9514 1404 393
Answer:
$1571
Step-by-step explanation:
If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...
ymax = $1571
The maximum profit the company can make is $1571 at a selling price of $45 each.
_____
The function can be written in vertex form as ...
y = -(x^2 -90x) -454
y = -(x^2 -90x +45^2) -454 +45^2
y = -(x -45)^2 +1571
Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.
Related Questions
for all positive values of x the value of ^log x ^x is always __ and the value of ^log x ^1 is always__
Answers
Answer: 1, 0
Step-by-step explanation: Logarithm base x of x is 1 and Logarithm base x of 1 is 0.
The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .
What is a Logarithm base?It is the function where the log , base a of the x. It shows the inverse of the exponential function so here the exponential form be used.
So we can conclude that The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .
Hence, the above answers are correct.
Learn more about values here: https://brainly.com/question/20347857
Expression 10 x (250 + 45) years
Answers
Answer:
2950
Step-by-step explanation:
the answer is 2950 the reason why is if u solve the given problem this is what you get
Answer:
250+45=325 x 10=3250
Step-by-step explanation:
Writing Equations of Lines
Answers
Answer:
Please leave more information.
Step-by-step explanation:
Which equation represents exponential decay?
O A y = 100(31)
O B. y = 1 (3.1)
C. y = 10(0.13)
D. y = 100(1.03)
Answers
Answer:
The function y = 10(0.13)ˣ represents exponential decay.
Hence, option C is the correct function.
Step-by-step explanation:
We know that an exponential function is of the form
y = abˣ
where 0 < b < 1
Please note that an exponential function cannot have a base of 0, 1, or a negative value.
Now, if we carefully observe, the function y = 10(0.13)ˣ is the only option correct as
here 0 < b < 1 and a > 0
Therefore, the function y = 10(0.13)ˣ represents exponential decay.
Hence, option C is the correct function.
Help im behind my math class. pls
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
From the given diagram, we can observe that r and s are the two parallel lines intersected by the two transversal lines.
Therefore, the pairs of alternating interior angles formed by the two transversal lines are:
∠1 & ∠5 ∠2 & ∠4∠2 & ∠7 ∠3 & ∠6We know that alternating interior angles formed by a transversal line are congruent.
Thus,
∠1 = ∠5 ∠2 = ∠4∠2 = ∠7 ∠3 = ∠6Part a)
Given
m∠1 = 3x + 42
m∠5 = 8x - 8
As
∠1 = ∠5
So
3x + 42 = 8x - 8
flipe the equation
8x - 8 = 3x + 42
subtract 3x from both sides
8x - 8 - 3x = 3x + 42 - 3x
5x - 8 = 42
add 8 to both sides
5x - 8 + 8 = 42 + 8
5x = 50
divide both sides by 5
5x/5 = 50/5
x = 10.0000 (Rounded to four decimal places)
Thus, the value of x = 10.0000 (Rounded to four decimal places)
Part b)
Given
m∠6 = 12°
It is clear that angles ∠6 and angle ∠7 lie on a straight line.
Thus,
The sum of ∠6 and ∠7 is 180°.
∠6 + ∠7 = 180°
substituting m ∠ 6 = 12° in ∠6 + ∠7 = 180°
12° + ∠7 = 180°
subtract 12 from both sides
12° + ∠7 - 12° = 180° - 12°
∠7 = 168°
Thus, measure of angle ∠7 = 168°.
We already know that alternating interior angles formed by a transversal line are congruent.
∠7 and ∠2 are alternating interior angles.
Thus,
∠2 = ∠7
As ∠7 = 168°.
Therefore,
∠2 = 168°
Hence, we conclude that
∠2 = 168°
If 7 + 3x = 22, then 2x = ?
O 5
O 10
O 12
0 14
og
3
Answers
Answer:
10
Step-by-step explanation:
Answer:
2x=10
Step-by-step explanation:
EASY ALGEBRA! HELP PLEASEEE <3
Fill in the blank with a number to make the expression a perfect square.
v²-14v+__
(fill in where the underscore is)
I know the answer is 49, But please just work out the problem!!
Answers
2v-14v+49(combine like terms)
12v+49
V=61
I hope its right
What is 123x264 answer fast
Answers
Answer:
theres something call a calculator but anyways lol the answer is 32472
Answer:
32,472 is the correct answer
Write a quadratic function to model the graph. Please help!!
Answers
Answer:
80 because that you need to work on
The quotient of 9 and a number less 4
Answers
Answer:
ead the excerpt from "The Most Dangerous Game,” by Richard Connell.
His foot touched the protruding bough that was the trigger. Even as he touched it, the general sensed his danger and leaped back with the agility of an ape. But he was not quite quick enough; the dead tree, delicately adjusted to rest on the cut living one, crashed down and struck the general a glancing blow on the shoulder as it fell; but for his alertness, he must have been smashed beneath it. He staggered, but he did not fall; nor did he drop his revolver. He stood there, rubbing his injured shoulder, and Rainsford, with fear again gripping his heart, heard the general's mocking laugh ring through the jungle.
Which analysis best explains the effect of adding the female character
Step-by-step explanation:
Rose was tracking the movements of a rabbit and plots the movements of the rabbit on this graph.
Calculate the fastest speed that Rose observes the rabbit move.
Answers
Answer:
2.25 m/sStep-by-step explanation:
Looking at the graph, we observe that the interval CD is when the speed was the fastest
Let's calculate this, use points C(4,3), D(12,12)
(12 - 3)/(12 - 8) = 9/4 = 2.25 m/sWhat is the volume of the following rectangle prism? Plz help
Answers
Answer:
7 2/3 or 7.666
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
since we only have two points we have to do
4/3 x 23/4 = 7 2/3 or 7.666
so the answer is 7 2/3 or 7.666
How do I do this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
x = 5
Step-by-step explanation:
39° + 90° + (7x + 16)° = 180°
39 + 90 = 129
180 - 129 = 51
7x + 16 = 51
7x + 16 - 16 = 51 - 16
7x = 35
7x/7 = 35/7
x = 5
P and q are points on the line y=2-4X
Draw the line y= 2-4X for vales of x from -2 to 2
Answers
Answer:
`The answer is below
Step-by-step explanation:
P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)
Draw the line y= 2-4X for vales of x from -2 to 2
Solution:
The equation of a line is given by:
y = mx + b
Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).
The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.
x: -2 -1 0 1 2
y: 10 6 2 -2 -6
The value P(0, ) Q( ,0)
The y coordinate of point P is gotten by substituting x = 0:
y = 2 - 4(0) = 2
P = (0, 2)
The x coordinate of point Q is gotten by substituting y = 0:
0 = 2 - 4x
4x = 2
x = 0.5
Q = (0.5, 0)
2y - x = -8
Put it in line slope-intercept simplifying all fractions
Answers
2y=x-8
y=1/2x-4 is the slope intercept form
jan takes her dog for a walk.
she leaves her house at 11:40am and returns at 12:17pm.
how long did the walk take?
Answers
Answer:
37 minutes. :))
Step-by-step explanation:
Use the slope formula to find the slope between the given two points. (2, 1) and (8, 9)
Answers
Answer:
if the two points are known. 4/3 or 1.333
3x + 16 = 136
(3 seconds per item, plus 16 seconds to process payment, equals 136 seconds total.)
Subtract 16 from each side. Then divide both sides by 3.
Answers
Answer:
x = 40
Step-by-step explanation:
1. Mr. Jones is correcting math test. Here are the scores for the
first fourteen tests he corrected 62, 65,93, 51, 55, 12,79,
85, 55, 72, 78, 83, 91, and 76. Which score does not seem
to fit the data? Explain how the outlier score affects the
mean and the median of the data.
Answers
Answer:
12
Step-by-step explanation:
12 doesn't fit the data because it is so much farther from the general average of the others.
12 affects the median because with it, the median is 74. but without 12, the median is 76.
12 affects the mean because with it, the mean is 68.36. but without 12, the mean is 72.69.
Two important ingredients for baking bread are yeast and flour. To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200. If you're making a loaf of more than 30 servings, use a ratio of 1:180. If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need?
Answers
If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? ANSWER=90
If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need? ANSWER=4
The flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.
Given to us
To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200.
To make a loaf of bread of more than 30 servings, maintain a yeast to flour ratio of 1:180.
Ratio for 30 ServingsA.) If We are making 30 servings of bread and using 0.45 oz of yeast,
As it is given that for 30 servings we must maintain a yeast to flour ratio of 1:200, therefore,
[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{200}[/tex]
Using the ratio for 0.45 oz of yeast,
[tex]\rm \dfrac{0.45\ oz}{Flour} = \dfrac{1}{200}[/tex]
[tex]\rm {Flour} = 200 \times 0.45\ oz[/tex]
[tex]\rm {Flour} = 90\ oz[/tex]
Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.
Ratio for 90 ServingsB.) If We are making 90 servings of bread and using 720 oz of flour,
As it is given that for more than 30 servings we must maintain a yeast to flour ratio of 1:180, therefore,
[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{180}[/tex]
Using the ratio for 720 oz of flour,
[tex]\rm \dfrac{Yeast}{720\ oz} = \dfrac{1}{180}[/tex]
[tex]\rm {Yeast} = \dfrac{720\ oz}{180}[/tex]
[tex]\rm {Flour} = 90\ oz[/tex]
Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.
Hence, the flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.
Learn more about Ratio:
https://brainly.com/question/1504221
please help thank you so much
Answers
Answer:
Q=63 degrees
Step-by-step explanation:
R=60 degrees
since T=123 degrees, S=180-123=57 degrees
There is 180 degrees in a triangle
Q=180-60-57
Q=63 degrees
a
\large 140\frac{1}{2}
b
\large 140\frac{1}{3}
c
\large 141
d
\large 140\frac{3}{4}
Answers
What is the square root of X with an exponent of 7?
Answers
Answer:
[tex] {x}^{3} \sqrt{x} [/tex]
Step-by-step explanation:
hope it helps ☺️
suggestions : Photomath application
it will be explained you about how to find solutions.
21 of an ice cream company's flavors contain nuts.
How many total flavors does the company make if
30% of them contain nuts?
PLEASE HELP ME! :(
Answers
Answer:
The company has 70 falvors
Find the scale factor
Answers
Answer:
36/x =48/24
36/x =2
2x= 36
x= 36/2
x=18
Rewrite in slope-intercept form.
10x + 2y = 8
Enter your answer in the form y=mx+c
Simplify your answer if possible using integers or simplified fractions. Example: y=3/4x-2
10x+2y=8
Answers
Answer:
y = -5x + 4
Step-by-step explanation:
Solve for y
10x + 2y = 8
2y = -10x + 8
y = (-10x)/2 + 8/2
y = -5x + 4
Hy my friend needs help with her math I say it’s pretty easy but it cuz I have my hw to do .. so can someone help her out ?!
Answers
Answer: the answer I’m is 16,800
Step-by-step explanation:
To find the number of kg you multiply the number by 1,000.
16.8*1,000=16,800
Plsssssss help meeeeeeeeeeeee I need help
Answers
Answer:
honestly I think its QT
Step-by-step explanation:
hope it helps
please answer the following
Answers
how to find the surface area of a triangular prism
Answers
Answer:
Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.
Step-by-step explanation:
