22. The function C= 75x + 2600 gives the cost, in dollars, for a small company to
manufacture x items. The function R = 225x-X gives the revenue, also in
dollars, for selling x items. How many items should the company produce so
that the cost and revenue are equal?
Given:
[tex]c=75x+2600\\[/tex]; where c is cost in dollars and x is items sold
[tex]r=225x-x^{2}[/tex]; where r is revenue in dollars and x is items sold
Equations:
[tex]x=\frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]
Answer:
For cost and revenue to be equal, the company should produce and sell 20 or 130 items.
[tex]x=20\\[/tex] or [tex]x=130[/tex]
Step-by-step explanation:
1. Set the equations equal to each other; [tex]75x+2600=225x-x^2[/tex]
2. Subtract [tex]225x-x^2[/tex] from each side; [tex]x^2-150x+2600=0\\[/tex]
3. Determine quadratic formula variables; [tex]a=1; b=-150; c=2600[/tex]
4. Substitute [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] into quadratic formula; [tex]x=\frac{-(150)\±\sqrt{(-150)^2-4*1*260}}{2*1}[/tex]
5. Solve quadratic formula; [tex]x_{1} = 130[/tex], [tex]x_{2}=20[/tex]
Can someone please help me??
Answer:
the missing side of the triangle is 4, solving by the theorem of Pitagoras a^2 + b^2 = c^2
Using Pythagorean theorem
[tex]\\ \sf\longmapsto P^2=H^2-B^2[/tex]
[tex]\\ \sf\longmapsto P^2=8^2-(4√3)^2[/tex]
[tex]\\ \sf\longmapsto P^2=64-48[/tex]
[tex]\\ \sf\longmapsto P^2=16[/tex]
[tex]\\ \sf\longmapsto P=√16[/tex]
[tex]\\ \sf\longmapsto P=4[/tex]
A pump dispenses 15 gallons of water per minute. How many quarts per second can
the pump dispenses
(1 gal = 4 qts)
Answer:
1
Step-by-step explanation:
I beileve it would be 1 because if you grab the 15 gallons and mutiply them by 4, then you would get 60. There is 60 seconds in a minute therefore, I would take the quarts and divde them by the seconds. Then I would get my answer of 1 quart per second.
Hope this helped. If you still do not understand I will gladly explain it more. If im wrong, feel free to correct me. :)
tính chẵn lẻ của hàm số sau :
y = 1/x+2
Step-by-step explanation:
y=1/x + 2
y=1x + 2
y=3x
This is my answer above thank you
What rotation centered about the origin maps (4, −7) to (7, 4) ?
90° counterclockwise
180° counterclockwise
270° counterclockwise
Answer:
A) 90° counterclockwiseStep-by-step explanation:
Preimage (4, - 7) and image (7, 4).
Rule applied:
(x, y) → (-y, x), this is a 90° counterclockwise rotationCorrect choice is A
Answer:
Option A
Step-by-step explanation:
90° counterclockwise rotation about origin rule is
(x,y)=(-y,x)So here
(4,-7)Rotate it
(-(-7),4)(7,4)Option A is correct
a room is 3m longer than its width .if the perimeter is 126m. what is the width of the room?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are :
Length = 33 m
Breadth (width) = 30 m
solution is in attachment ~
Did I do this right? I’m not sure it this is right
The function y=kx is given in the table. Find the coefficient k and fill in the table.
In the 1st table of values,
take x = 3 and y = 12
since,
y = kx
k = 12÷3
k = 4.
thus,
x = -2, y = -8
x = -1/3, y = -4/3
x = 0, y = 0
y = 16 , x = 3
y = 1/8, x = 1/32
All the best!
Make ℎ the subject = − ℎ + 4 can i have a working out please points giveaway
So i dont really understand what you are trying to say. Are you trying to say "h=-h+4" and if so the answer is 2
Answer:
answer is 2
Step-by-step explanation:
Please answer this please
Answer:
the people don't believe in ghosts=372000.
( in scientific notation 3.72×10^5)
...........
Answer:
10,372,000
Step-by-step explanation:
subtractio=128,000 -10,500,000
q + 67 = q+68
what is q?
.If the side of an equilateral triangle is 6cm, then the area of triangle is
Answer:
[tex]9\sqrt{3}[/tex] cm^2
Step-by-step explanation:
area of an equilateral triangle = [tex]\frac{s^{2} \sqrt{3} }{4}[/tex] (s = length of the side)
area = [tex]\frac{6^{2}\sqrt{3} }{4}[/tex]
area = [tex]\frac{36\sqrt{3} }{4}[/tex]
area = [tex]9\sqrt{3}[/tex] cm^2
What is .73% of 125?
Answer:
The answer to that is 91.25
A lumberyard wanted to do a survey to see if its customers were interested in purchasing
rope along with lumber. Four different groups volunteered to do the study for them. Which
group should do the study so the bias is minimal?
Answer:
Choose a group to do the study that didn't have any volunteers that worked at the lumberyard, shopped at the lumberyard nor had any family members that shopped or worked there.
Step-by-step explanation:
Since you didn't specify any groups to chose from, I answered in the way that I thought there would be less bias.
8-7(-6 + 5^2 )4 / 3+2
Answer:
-121 2/3
Step-by-step explanation:
what decimal is equivalent to 2/9?
0.2 / 0.22
it would've been 0.22222222 but if you cut it short its 0.2 or 0.22.
Simplify √5×√7 Simplify √3×√27
Answer:
✓35. √9
Step-by-step explanation:
✓5 x √7. √3 x √27
√3 x √3 x √ 9
3x3
√35. 9
Answer:
✓35. √9
Step-by-step explanation:
Antonne can build 4 towers using 68 blocks. What equation can be used to model the total number of blocks y needed for the number of towers x? Write the equation in the form y=kx . Please Heeelp
Answer:
68=k4
k=17 or the amount of stacks you can use to make each tower
A group of friends wants to go to the amusement park. They have $117.50 to spend on parking and admission. Parking is $5.50, and tickets cost $14 per person, including tax. Write and solve an equation which can be used to determine xx, the number of people who can go to the amusement park.
Answer:
X = 8 people can go to the amusement park.
Step-by-step explanation:
Based on the given conditions, formulate: 5.5 + 14 × x = 117.5
Rearrange unknown terms to the left side of the equation: 14 x = 117.5 − 5.5
Calculate the sum or difference: 14 x = 112
Divide both sides of the equation by the coefficient of variable: x = 112 ÷ 14
Calculate the product or quotient: x = 8
Find the smallest integer greater than or equal to x = 8 :
Answer: x = 8
(Hope this helps can I pls have brainlist (crown)☺️)
The equation will be (5.5) + (14 × x) = $ 117.5 and the value of x will be 8.
It is given that a group of friends have $117.50 to spend on parking and admission. Cost of parking is $5.50 and tickets is $14 per person.
We have to write an equation and find out the value of x , if x is the number of people who can go to the amusement park.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.
As per the question ;
Total amount spend on parking and admission = $117.50
Cost of parking = $ 5.50
Cost of ticket per person = $ 14
Let's assume no. of people who can go to the amusement park is x.
So ,
Total cost of ticket and parking will be ;
(5.5) + (14 × x)
and this equal to $ 117.50.
So ,
the equation will be ;
(5.5) + (14 × x) = 117.5
Solving the equation to find the value of x ;
⇒ 14 × x = 117.5 - 5.5
⇒ 14x = 112
⇒ x = 112 ÷ 14
⇒ x = 8
Thus , the equation will be (5.5) + (14 × x) = $ 117.5 and the value of x will be 8.
To learn more about algebra click here ;
brainly.com/question/26479183
#SPJ2
For GJ in triangle GHJ, what is the corresponding segment in similar triangle HIJ?
IJ
How?
In triangle GHJ <H is right angle
So GJ is the hypotenuse.Now
in triangle HIJ
<H=90°IJ is the hypotenuse
So option A is correct
The corresponding segment for GJ in triangle GHJ in similar triangle HIJ is, 'JI'.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
⇒ Δ GHJ ≈ Δ HIJ
By the figure, we have;
In ΔGHJ, Side GJ is opposite side of the right angle.
And, In Δ JHI, Side JI is opposite side of the right angle.
Hence, The side JI in Δ JHI is corresponding segment in similar triangle GHJ.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
5x-2y=11 and 3x+4y=4
Find the value of x and y in equation.
(1)×3 and (2)×5
15x-9y=33-(3)15x+20y=20-(4)Subtract both
[tex]\\ \sf\longmapsto -29y=13[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{-13}{29}[/tex]
Put in eq(1)[tex]\\ \sf\longmapsto 5x+\dfrac{-117}{29}=11[/tex]
[tex]\\ \sf\longmapsto 5x=11+\dfrac{117}{29}=\dfrac{261+117}{29}=\dfrac{278}{29}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{278}{145}[/tex]
En cuanto tiempo se triplicara un capital prestado a 1.9% mensual?
Answer:
36
Step-by-step explanation:
which expression is equvialent to a+4a+8
Answer:
Step-by-step explanation:
Answer:
5a + 8
Step-by-step explanation:
In the circumstance where a is unknown, we combine like terms to get 5a + 8
HELLP THIS IS EASY 8TH GRADE STUFF BUT
scale the numerator and the denominator down by a factor of 5 (just divide) to write a fraction equivalent to 30/70.
Answer:
6/14
Step-by-step explanation:
you need to just divide the denominator and numerator by 5. 30 / 5 is 6 and 70 / 5 is 14 so your answer is 6 / 14.
MARKING BRAINLIEST !! please help asap !
Describe the end behavior of the graph. Then determine whether it represents me odd-degree or an even-degree polynomial function and state the number of real zeros.
Answer:
78
Step-by-step explanation:
...............................
If y varies directly as x and inversely as Z, and y = 22 when x=4 and z= 6, find y when x= 10 and z=25.
I give Brainliest!
Answer:
25
Step-by-step explanation:
y = 10 x - 3 z
yeah-ya........ right?
perpendicular to y = 5/2x - 1 and passes through (-1, -4)
whats this game called
Answer:đây là 1 ưeb giải các môn học
Step-by-step explanation:
(a) Calculate the value of 2/0.4^2
Answer:
32/0 or infinity
Step-by-step explanation:
[tex]\frac{2}{0}(4^2)[/tex] [tex]\frac{2}{0}(16)[/tex] [tex]\frac{32}{0}[/tex] [tex]\frac{32}{0} =[/tex] ∞Therefore, the answer is 32/0 or infinity.
The diagram shows a cuboid
What is the surface area of the cuboid?
4cm,5cm and 9cm
Answer:
surface area of a cuboid=2(L*W)+ 2(L*H)+ 2(W*H)
2(9*5)+2(9*4)+2(5*4)
[tex]2 \times 45 + 2 \times 36 + 2 \times 20[/tex]
[tex]90 + 72 + 40 = 202 {cm}^{2} [/tex]