Answer:
You look at the sign between y and 2x
Step-by-step explanation:
To find which way to shade, look at your symbol. The symbol you have is a less than or equal to, you shade to the left. Because it has the line underneath, you have a closed circle. (This is for line plots so I don't know if this completely helps)
Hopefully it does help though!!
4) A company manufactures widgets. The expense function E=8q+12,000 and the
demand function q= -10p +20,000, where p is the price.
a. Express the variable expense V in terms of q, where q is the quantity of widgets
produced
b. Express the total expenso E in terms of p.
c. Determine the Revenue R in terms of p. (Hint: R=p•q).
d. Determine the profit P in terms of p. (Hint: P=R-E).
e. Determine the price that will yield the maximum profit. (Hint: x = -b/2a).
f. Determine the maximum profit.
Revenue, profit and expenses are all integral parts of a company's balance sheet
The expense in terms of q is [tex]\mathbf{E = 8q + 12000}[/tex]The expense in terms of p is [tex]\mathbf{E = -80p + 172000}[/tex]The revenue in terms of p is [tex]\mathbf{R = -10p^2 + 20000p}[/tex]The profit in terms of p [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]The price that yields the maximum profit is $1004The maximum profit is $9908160The expense function is given as:
[tex]\mathbf{E = 8q + 12000}[/tex]
The demand function is given as:
[tex]\mathbf{p = -10p + 20000}[/tex]
(a) The expense in terms of q
This is already given as: [tex]\mathbf{E = 8q + 12000}[/tex]
(b) The expense in terms of p
Substitute -10p + 20000 for p in [tex]\mathbf{E = 8q + 12000}[/tex]
[tex]\mathbf{E = 8(-10p + 20000) + 12000}[/tex]
Expand
[tex]\mathbf{E = -80p + 160000 + 12000}[/tex]
[tex]\mathbf{E = -80p + 172000}[/tex]
(c) The revenue in terms of P
This is calculated as:
[tex]\mathbf{R = p \times q}[/tex]
So, we have:
[tex]\mathbf{R = p \times (-10p + 20000)}[/tex]
Expand
[tex]\mathbf{R = -10p^2 + 20000p}[/tex]
(d) The profit in terms of p
We have:
[tex]\mathbf{R = -10p^2 + 20000p}[/tex] and [tex]\mathbf{E = -80p + 172000}[/tex]
So, the profit P is calculated as:
[tex]\mathbf{P =R - E}[/tex]
This gives
[tex]\mathbf{P =-10p^2 + 20000p +80p - 172000}[/tex]
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
(e) The price that yields maximum profit
In (d), we have:
[tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
The maximum price is calculated using:
[tex]\mathbf{p = -\frac{b}{2a}}[/tex]
Where:
[tex]\mathbf{b =20080}[/tex]
[tex]\mathbf{a = -10}[/tex]
So, the equation becomes
[tex]\mathbf{p = -\frac{20080}{2 \times -10}}[/tex]
[tex]\mathbf{p = 1004}[/tex]
Hence, the price that yields the maximum profit is $1004
(f) The maximum profit
In (e), we have: [tex]\mathbf{p = 1004}[/tex]
Substitute 1004 for p in [tex]\mathbf{P =-10p^2 + 20080p - 172000}[/tex]
[tex]\mathbf{P =-10(1004)^2 + 20080(1004) - 172000}[/tex]
[tex]\mathbf{P =9908160}[/tex]
Hence, the maximum profit is $9908160
Read more about revenue, expenses and profit at:
https://brainly.com/question/23103804
r(2)=120 and r(4)=378 divide the difference in the r(x) values by the difference in the x-value
Answer:
im not sure ask siri
Step-by-step explanation:
she knows everything
Fill in geometry proofs. ANGLES. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
Answer:
See belowStep-by-step explanation:
Missing reasons are:
2. Vertical angles theorem3. Definition of vertical angles4. Third angle theorem5. Given6. Given7. Definition of bisect8. SSSAnswer:
2. Reason: Vertical angles theorem
3. Reason: Definition of vertical angles
4. Reason: Third angle theorem
5. Reason: Given
6. Reason: Given
7. Reason: Definition of bisect
8. Reason: SSS
Hoped this helped.
-64/8 do i divide ? what do i do
Answer:
-8
Step-by-step explanation:
-64/8 = -8................ .......
mark me brainliest plz if you are helped
Answer:
so you divide -64/8 like you would 64/8 and once you get your answer you just put a negative in front because a negative divided by a positive is a negative so your answer is -8
Step-by-step explanation:
Solve for x please. I need step-by-step explanation. Thank you.
Step-by-step explanation:
[tex](7x)^x=7^{7^7}[/tex]log both sides:
[tex]log_7(7x)^x=log_7(7^{7^7})[/tex][tex]xlog_7(7x)=7^7[/tex][tex]x(1 +log_7x) = 7*7^6[/tex][tex]x(1 +log_7x) = 7^6(1+6)[/tex][tex]x(1 +log_7x) = 7^6(1+log_77^6)[/tex]Compare both sides to get:
[tex]x=7^6[/tex]or
[tex]x=117649[/tex]
Erin finds 5% sales tax for a shirt that costs $21. She calculates the tax as
0.05 * 21 = 1.05 or $1.05.
Erin notices that she can add 21 + 1.05 = 22.05 to find the total cost, $22.05.
She uses the Distributive Property to write (1 * 21) + (0.05 * 21) = 1.05 * 21.
For each item, write the total cost of
the item as the product of two
numbers.
Tax
1.05 x 21
a.
b.
c.
d.
Item Name Price Tax Rate
shirt
$21.00 5%
bicycle $45.90 7%
shoes
$67.50 6%
laptop $299.99 8%
$39.95 4%
Credit Debit Subtotal
Check Cash
Tax
Order total
Print Receipt Cash
video game
$474.34
Answer:
Step-by-step explanation:
a. Bicycle (1.07 x 45.90)
b. Shoes (1.06 x 67.50)
c. Laptop (1.08 x 299.99)
d. Video Game (1.04 x 39.95)
NEED ASAP PLEASE SHOW WORK! Follow the directions and solve this sequence for the first 10 terms:-3,-12,-48,-192
A.
CR: 4
10th term: -262,144
B.
CR:-4
10th term: 786,432
C.
CR:4
10th term: - 786,4323
Answer: B (786,432)
Geometric sequence follows by multiplying by 4.
-3
-12
-48
-192
-768
-3072
-12288
-49152
-196,608
-786,432
What is 8.798 rounded to the nearest cent
Answer:
For some reason i couldn't add an answer, but it 8.80 because 9 was rounded to 10 and changed the 7 to 8.
Step-by-step explanation:
−56z+28minus, 56, z, plus, 28?
Answer-
Not quite sure what your asking but the if I understood correctly the answer is -122z+56
Answer:
−112z+56
Step-by-step explanation:
−56z+28−56z+28
Combine −56z and −56z to get −112z.
−112z+28+28
Add 28 and 28 to get 56.
−112z+56
write the ratio in simplest form.
12 DVDS to 10 books.
Answer:
6:5
Step-by-step explanation:
divide both numbers by using gcd/ greatest common divisor
= 12:10/ 2
=6:5
please mark me as brainliest!!! Good luck with your tests!
785 to the nearest 10
100 IF U GET THIS RIGHT!
Answer:
y-intercept: 3/7
Step-by-step explanation:
Our equation: y = mx + b
Given equation: y = 6x + 3/7
Now, let's compare:
y = mx + b = y = 6x + 3/7
We can tell that the y intercept is b, which is 3/7
Hoped this helped.
Answer:
y-intercept: 3/7
Step-by-step explanation:
PLEASE HELP
1/3(9×+16+2)+2x
×-3+7(×+3)-3×-12
USE TWO DIFFERENT METHODS TO EXPAND 1/4(×+2×+16-8)
Answer:
Multiply 1/3 with the numbers in the parenthesis and evaluate
Step-by-step explanation:
2x=x-4
solve for x
step by step please
2x = x - 4
2x - x = - 4
x = - 4
________
Hope it helps ⚜
Answer:
x=-4
Step-by-step explanation:
2x=x-4
2x-x=-4
x=-4
Proof
2*(-4)=-4-4
-8=-8
Please Pleaseee help...will make the brainliest
Answer:
A and F.
Explaination:
Please help I need to show my work
The product of 7 and a number is greater than 42. If the number is a whole number less than 10 , what could the number be?
Answer:
8 or 9
Step-by-step explanation:
Your primary equation that they gave you is ?b and has to be greater than ?a 7 x ?a =42
So your answer to ?a is 7 because 7 x 7 =42 therefore your answer to ?b has to be 8 or above.
the next part of your problem states that it is a whole number UNDER 10.... this limits your possible answer to either 8 or 9.
HELP?!?!!! pleaseeee
Answer:
option 1. 3 juniors and 5 seniors
option 2. 4 juniors and 2 seniors
Step-by-step explanation:
3 + 5 = 8
8 is less than 9 and more than 4
4 + 2 = 6
6 is less than 9 and more than 4
7.6.1 Determine the new dimensions of the follo figures below given the scale factor: 1 Scale Factor of 1/4 4 U! 6 15 in 12 in
Answer: at least 2
Step-by-step explanation: idek
Equation -5+2 = -3 5+(-2) = 3 2+(-5)=-3 -3+5=2
Answer:
false
Step-by-step explanation
:
A particular variety of bamboo grows for
4
months out of the year at a rate of
3
inches per day. The rest of the year, the bamboo is dormant and does not grow.
A graph of the growth for a
12
-month period is shown.
What is the domain of the function that models this phenomenon?
Using function concepts, it is found that the domain of the function that model this phenomenon is [0, 12].
The domain of a function is the set that contains all possible input values.
In this problem, the function is the height of the bamboo according to the month of the year, hence, the input is the month of the year, which has values between 0 and 12, and thus, the domain of the function that model this phenomenon is [0, 12].
A similar problem is given at https://brainly.com/question/10891721
solve pls brainliest
Answer:
64in
Step-by-step explanation:
v=L×W×H
= 4×4×4
= 16 ×4
= 64in²
Pls hurry Accurate Answer= Brainlist
Step-by-step explanation:
it would have to be practically the same equation.
because only then do you end up with 1 equation for 2 variables (the second equation does not create any additional information).
the only one being exactly the same as the original equation is the fourth option
y = 2(x + 5)
because that is
y = 2x + 10
║3x²+x+5║= 5x²- 3x+ 7
Is this what you needed ?
Please help! take a pic and put a dot with the drawing tools on ur snipping tool/snip and sketch. Please i cant fail these questions!
Answer:
x > 7/8 and the picture is below.
Step-by-step explanation:
To find the answer, you plug in the values for x. Nothing less than one in the set of given values, works. 1 works, 9/4 works, and 5/2 works. But everything else doesn't. Or, you could simply divide both sides by 2 to get x alone. That makes x>7/8. Meaning 7/8 doesn't work, but anything above it, does. So you could just look for the ones that are greater than 7/8.
Which function represents a reflection of f(x)=3/8
(4) across the y-axis?
O g(x) = - a)
O g(x) = - 3 (4%
o g(x) = (4)
O g(x) = 2 (4)*
—
Answer:
Step-by-step explanation:
Reflecting a function across the Y axis means replacing x with -x.
First one could *almost* work, if there wasn't the minus sign at the beginning, so it's a no.
Second one is also a no, the original one is always positive, the second one is always negative.
3rd one is reflecting the graph all right, but it's also adding some sort of stretch (try with the point x=1 in both cases, [tex]f(1) = \frac 32[/tex] while [tex]g_3(1) = 2/3[/tex]
4th one is the charm.
The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To reflect the function f(x) = (3/8) 4^x across the y-axis, we need to replace x with -x in the function.
This will cause the function to be reflected across the y-axis.
So,
The function that represents the reflection of f(x) = (3/8) 4^x across the y-axis is:
g(x) = (3/8) 4^(-x)
We replaced x with -x in f(x) and simplified to obtain g(x).
Therefore,
The function that represents a reflection of f(x) = (3/8) 4^x across the y-axis is [tex]g(x) = (3/8) 4^{-x}.[/tex]
Learn more about functions here:
https://brainly.com/question/28533782
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GIVING BRAINLIEST!! (ignore the answer i put i accidentally clicked on it) A line passes through the point (-2, 7) and has.a slope of -5.
What is the value of a if the point (a, 2) is also on the line?
7⋅5+(4^2−2^3)÷4 answers: 49 41 34 9
On evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.
What is Expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. For example -
5x + 7 = 6
7r + π = 4
Given is the following expression -
7.5 + (4² − 2³) ÷ 4
The given expression is -
7.5 + (4² − 2³) ÷ 4
Using the BODMAS rule, we can solve -
7.5 + (16 - 8) ÷ 4
7.5 + 8 ÷ 4
7.5 + 2
9.5
Therefore, on evaluating the given expression 7.5 + (4² − 2³) ÷ 4, we get 9.5 as the result.
To solve more questions on evaluating expressions, visit the link below-
https://brainly.com/question/13589173
#SPJ5
A color printer prints 10 pages in 3 minutes.
How many minutes does it take per page?
Answer:
3.3 secs
Step-by-step explanation:
divide the pages by the minutes
WHAT IS THE AREA OF THE CURVED SURFACE OF A CYLINDER OF BASE RADIUS 4 CM AND HEIGHT 10 CM
Answer:
The curved surface area of cylinder is 251.42 cm².
Step-by-step explanation:
Here's the required formula to find the curved surface area of cylinder :
[tex]\star\underline{\boxed{\sf{CSA_{(Cylinder)}} = 2\pi rh}}[/tex]
Csa = Curved surface areaπ = 22/7r = radius h = heightSubstituting all the given values in the formula to find the curved surface area of cylinder :
[tex]\implies{\tt{CSA_{(Cylinder)}= 2\pi rh}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 4 \times 10}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 40}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{2 \times 22 \times 40}{7}}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{44 \times 40}{7}}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)}= \dfrac{1760}{7}}}}[/tex]
[tex]{\implies{\tt{CSA_{(Cylinder)} \approx 251.42 }}}[/tex]
[tex]{\star{\underline{\boxed{\tt{\red{CSA_{(Cylinder)} \approx 251.42 \: {cm}^{2}}}}}}}[/tex]
Hence, the curved surface area of cylinder is 251.42 cm².
[tex]\rule{300}{2.5}[/tex]