Question:
Use your understanding of rational functions to answer the following question about the relationship of concert profit P(x)=-25x^2+875x-4750 to concert operating expenses c(x)=4750-125x.
Write an algebraic rule for the function T(x), which gives the ratio of profit to operating expenses, that is, the number of dollars earned for every dollar spent by the concert promoters.
Answer:
[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]
Step-by-step explanation:
Given
[tex]P(x)=-25x^2+875x-4750[/tex] --- concert profit
[tex]c(x)=4750-125x.[/tex] --- concert operating exercise
Solving (a): An expression for T(x)
T(x) is the ratio of P(x) to c(x)
So:
[tex]T(x) = \frac{P(x)}{c(x)}[/tex]
[tex]T(x) = \frac{-25x^2+875x-4750}{4750-125x}[/tex]
Factorize
[tex]T(x) = \frac{-25(x^2-35x+190)}{-25(-190+5x)}[/tex]
[tex]T(x) = \frac{x^2-35x+190}{-190+5x}[/tex]
Rewrite as:
[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]
An expression is shown.
(4 x 10-5+ (2x 10-5
(3 x 107)
Which expression is equivalent?
A 2x 10-17
® 2 x 10-12
© 2x 10-2
2x 1012
Answer:
4575t8768756970
Step-by-step explanation:
46879x468790x587690x587690x758690x6587x90=2314567890-
The bottom edge of a 16-foot long cantilever is given by the equation y = 2Vx, where y is the distance the
bottom edge is from ground height, in feet.
y
(a) What is the value of b, the height of the
cantilever, in feet?
b
T
y=2&x
b) To the nearest tenth of a foot, what is the
thickness, T, of the cantilever at x =6 feet?
Answer:
[tex](a)\ b = 8[/tex]
[tex](b)\ T = 3.1[/tex]
Step-by-step explanation:
Given
[tex]y = 2\sqrt x[/tex]
See attachment
Solving (a): Find b
At point b, [tex]x = 16[/tex]
So, the value of b is:
[tex]b = 2 * \sqrt{16[/tex]
[tex]b = 2 * 4[/tex]
[tex]b = 8[/tex]
Solving (b): Find T
First, we calculate the value of y at point T
[tex]y = 2\sqrt x[/tex]
At point T, [tex]x = 6[/tex]
So:
[tex]y = 2 * \sqrt 6[/tex]
[tex]y = 2 * 2.45[/tex]
[tex]y = 4.9[/tex]
To calculate T, we subtract the calculated height (y) from the value of b
[tex]T =b - y[/tex]
[tex]T = 8 - 4.9[/tex]
[tex]T = 3.1[/tex]
The net of a square pyramid and its dimensions are shown in the diagram. What is the total surface area of the pyramid in square meters?
Answer: the general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base
Which ordered pair is the solution to the system of linear equations y= -7x+2 and. y=9x - 14
A (-5,1)
B (1,-5)
C (5, -1)
D (-1,5P
The answer is (1,-5), If you put those two on a graph, that point is where they collide.
isosceles triangle ... area and y intercept comparison. WORTH 100 points !!!!
A
5
B
10
C
6
D
4
pls help
Answer:
Pretty sure it's C.
Step-by-step explanation:
A and B are 6 units away from each other.
Answer:
C
Step-by-step explanation:
Count the boxes
HELP!!! ANYONE!! ASAP!!!
Answer:
A
Step-by-step explanation:
I'm not going to give an explanation but for next time, the stem is the tens place and the leaf is the ones place.
HELP PLEASE!!
If –8x + 2y = -4 is a true equation, what would be the value of 40x – 10y?
someone help me pls. 24 points
In the quadratic equation x2 - 8x + a = 0; what is the value, a, in order to form a perfect square?
Answer:
16
Step-by-step explanation:
(x - y)² = x² - 2xy + y²
x = x and y = a
2xy = 8x
2*x*a = 8x
a = [tex]\frac{8x}{2x}[/tex]
a = 4
a² = 16
Students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces) Which statement best describes the data represented in the box plot?
Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.
Step-by-step explanation:
The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.
What is a box plot?A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.
Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).
The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.
Therefore, the correct option for the box plot will be F.
To know more about the Box plot follow
https://brainly.com/question/14513996
#SPJ2
Which is NOT true?
A
16 + 3 = 11 + 8
В.
16 = 16
C.
16 - 4 = 7 + 6
D
16 = 19-3
Answer:
C. 16 - 4 = 7 + 6
Step-by-step explanation:
16 - 4 = 12
7 + 6 = 13
12 does not equal 13.
Hope this helps! :)
Answer:
C
Step-by-step explanation:
A is true because 16 + 3 = 19 and 11 + 8 = 19
B is true because 16 = 16
C is Not true because 16 - 4 = 12 and 7 + 6 = 13
D is true because 19 - 3 = 16
Mark me Brainllest plz
A sequence defined by the rule f(n)=4f(n-1)+2.if f(1)=3 then find f(4)=?
Answer:
f(4) = 6
Step-by-step explanation:
Given the rule f(n) = 4f (n - 1) + 2 where f(1) = 3, f(n) is just a fancy way to name the variable y. As you've seen before, there are equations that are usually y equals x and something. For example:
y = mx + b
is the same thing as
f(n) = y = mn + b.
It might be that you have multiple of the same equation where f(n) and f(x) have two different outcomes.
The f(n) part (bolded) is the "x variable" in this equation. So in f(1), n = 1.
f(n) = 4f (n - 1) + 2
f(n) = (4fn - 4f) + 2
f(n) = (n) + 2
f(1) = 1 +2
3 = 3
Now do the same thing for f(4):
f(n) = 4f (n - 1) + 2
f(n) = (4fn - 4f) + 2
f(n) = (n) + 2
f(4) = 4 + 2
f(4) = 6
Bob can paint a fence in 12 hours, and working with Jen can paint a fence in 4 hours. How long would it have taken Jen to paint the fence alone?
Answer:
6 hours
Step-by-step explanation:
For Bob
12 hours = 1 fence
1 hour = 1/12 fence
Together Bob and Jen
4 hours = 1 fence
1 hour = 1/4 fence
Now, for Jen:
1 hour = 1/4 - 1/12= 3/12 - 1/12 = 2/12=1/6
Find the amount of time Jen will need:
1/6 fence = 1 hour
1 fence = 6 hour
What is the equation for the line?
Answer:
y=mx+b
so, y=1/4x+6
Step-by-step explanation:
plug in, then simplify the slope.
Helllllllpppppp me plz
Answer:
90 degrees
Step-by-step explanation:
Answer:
x=103
Step-by-step explanation:
sum=(n-2)*180
sum=(6-2)*180
sum=4*180
sum=720
90+155+112+120+140+x=720
617+x=720
x=720-617
x=103
hello, and good morning ppl!!
what´s [tex]\sqrt{70* 70}[/tex]
Answer:
[tex]\sqrt{70\times70}[/tex]
[tex]70\times70=4900[/tex]
[tex]=\sqrt{4900}[/tex]
[tex]=70^2[/tex]
[tex]=\sqrt{70^{2} }[/tex]
[tex]=70[/tex]
OAmalOHopeO
Which statement is not true about the pattern shown?
2 4 8 16
3: 612' 24'
Answer:
Each fraction is greater than the previous.
Step-by-step explanation:
Each fraction is equivalent to 2/3 and the next is 32/48 so the first choice is not true.
small perfect cubes.
2.
1. A company makes square picture frames
whose sides are integer lengths. Select the
area that would satisfy this requirement.
a) 14 in?
b) 16 in?
c) 18 in?
d) 1.5 in2
Write an EQUATION that represents what is seen in the figure.
Step-by-step explanation:
x°+55°+40°=180°
x=180-95
×=85°What is the volume of the figure below?
A.180 centimeters cubed
B.540 centimeters cubed
C.380 centimeters cubed
D.360 centimeters cubed
Answer:
a
Step-by-step explanation:
PLS HELP WILL GIVE BRAIN THINGY
Answer:
Teachers are tough
Step-by-step explanation:
your welcome i hope you do good in ur test! :)
What is the perimeter?
I’ll give you brainiest however you spell it
Answer:
solution given :
side1[S1]=17cm
side2[S2]=21cm
side3[S3]=10cm
height[H]=8cm
we have .
perimeter of triangle[P]= sum of all sides
=S1+S2+S3=17+21+10=48cm is your answer
There was 1/3 of a box of cereal left. Four brothers shared it evenly how much cereal did they all get
Answer:
1/12
Step-by-step explanation:
1/3 divided by 4
keep it change it flip it
would change to 1/3 times 1/4 = 1/12
hope this helps!
HELP PLEASE 15 POINTS
All you have to do is rotate the left-hand triangle to match the right one, and you see that the angle degrees match up, so KL = 9.5
ASAP, REALLY EASY If x = -3 then what is -x
Answer:
3
because it says -3
so yeah
atleast i hope Im so bad at math
What is the measure of the internal angle H' of the image in degrees
Answer:
40 degrees
Step-by-step explanation:
- All internal angles of a triangle add up to 180 degrees.
- A right angle is 90 degrees.
90+50=140
subtract 140 from 180, which is 40 degrees.
Using the graph as your guide, complete the following statement.
The discriminant of the function is
Answer:
Positive
Step-by-step explanation:
Both of the roots are real numbers so that means the discrimnat is greater than zero or positive.
a rectangular garden has a perimeter of 100 meters. the length is four times it’s width. find the dimensions of the garden.
Answer:
Step-by-step explanation:
p = 100
l = 4w
l = 80
w = 20
80 = 20*4
Help! I will give me the brainiest!
Answer:
48 Ounces of red
Step-by-step explanation:
4+3=7
112/7= 16
you will need to add 3 ounces of red and 4 ounces of blue 16 times
16 x 3 (ounces of red)= 48