The value of x in which profit can be maximized is -43.67
Given:
C = 0.6x² + 0.52x + 3200
R = 100x
The profit maximizing value of x = R - C
= 100x - (0.6x² + 0.52x + 3200)
= 100x - 0.6x² - 0.52x - 3200
= 0.6x² + 99.48x - 3200
x = -b ± √b² - 4ac / 2a
= 99.48 ± √99.48² - 4×0.6×-3200
= -99.48 ± √9,896.2704 - 7680 / 1.2
= -99.48 ± √2,216.2704 / 1.2
= -99.48 ± 47.08 / 1.2
x = -99.48 + 47.08 / 1.2
or = -99.48 - 47.08 / 1.2
x = -52.4/1.2 or -146.56 / 1.2
x = -43.67 or -122.13
Therefore, the value of x is -43.67
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To graph y=x^2-4, you would shift the graph of y=x^2 ____ a distance of ____ units?
Answer:
"To graph y = x² - 4, you would shift the graph of y = x² _down_ a distance of __4__ units.
Step-by-step explanation:
Start with the parent function
y = x²
When you substitute y - k for y, you are shifting the graph vertically k units.
The translated function is
y = x² - 4
Add 4 to both sides.
y + 4 = x²
y was substituted by y + 4.
We must write the substitution as y - k, so rewrite y + 4 as
y - (-4). Now compare y - (-4) with y - k.
k = -4
The vertical shift is -4, so the graph was translated 4 units down.
"To graph y = x² - 4, you would shift the graph of y = x² _down_ a distance of __4__ units.
To draw graph y = x² - 4, we shift the graph y = x² down a distance of 4 units.
What is Quadratic equation?
An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
Draw the graph y = x² - 4 with the help of graph y = x².
Now,
Since, The translated graph is,
y = x² - 4
Add 4 both side, we get;
y + 4 = x²
Clearly, y is substituted by y + 4.
Since, when we substitute y - k for y , then we shift k units down.
So, By comparing we get;
y + 4 = y - (-4)
The graph y = x² - 4 is shift down to 4 units.
Thus, To draw graph y = x² - 4, we shift the graph y = x² down a distance of 4 units.
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9. Fill in the blanks with the provided
expressions to match each expression
with its equivalent.
x4
Х
+9
x-2
xul
X4 = x3 :
(x2)2
3. x3. x3
HURRYYYYYY!
Answer
Step-by-step explanation:
what type of question is it?
9x^3 - 18x^2 + 10x = 0
factor completely, and solve for each polynomial
[include all roots, real and complex numbers]
Answer:
{0, 1 + i/3, 1 - i/3}Step-by-step explanation:
9x³ - 18x² + 10x = 0x(9x² - 18x + 10) = 0x[9x² - 18x + 9 + 1) = 0x[(3x - 3)² + 1] = 01. x = 0, 2. (3x - 3)² = - 1 ⇒ 3x - 3 = ± i ⇒ 3x = 3 ± i ⇒ x = 1 ± i/3Answer for this question
y= -14x^2 + 1035x - 10266
answer:_ _ _ _18043. 02_ _ _ _
Solve for X. 5.4 + 0.2x = 7.09 Enter your answer as a decimal or as a mixed number in simplest form in the box. x =
Answer:
x = 8.45
Step-by-step explanation:
5.4 + 0.2x = 7.09
Subtract 5.4 from both sides to leave 0.2x alone
0.2x = 1.69
Divide by 0.2 on both sides to isolate x
x = 1.69/0.2
x = 8.45
Evaluate the expression for f = –19.8.
Write your answer as a decimal or whole number.
17.8 + f =
Answer:
-2
Step-by-step explanation:
17.8 + f =
17.8 + (-19.8)
= -2
Answer:
r = radius
h = height
s = slant height
V = volume
L = lateral surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
Calculator Use
This online calculator will calculate the various properties of a right circular cone given any 2 known variables. The term "circular" clarifies this shape as a pyramid with a circular cross section. The term "right" means that the vertex of the cone is centered above the base. Using the term "cone" by itself often commonly means a right circular cone.
Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft2 or ft3. For example, if you are starting with mm and you know r and h in mm, your calculations will result with s in mm, V in mm3, L in mm2, B in mm2 and A in mm2.
Below are the standard formulas for a cone. Calculations are based on algebraic manipulation of these standard formulas.
Circular Cone Formulas in terms of radius r and height h:
Volume of a cone:
V = (1/3)πr2h
Slant height of a cone:
s = √(r2 + h2)
Lateral surface area of a cone:
L = πrs = πr√(r2 + h2)
Base surface area of a cone (a circle):
B = πr2
Total surface area of a cone:
A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Circular Cone Calculations:
Use the following additional formulas along with the formulas above.
Given radius and height calculate the slant height, volume, lateral surface area and total surface area.
Given r, h find s, V, L, A
use the formulas above
Given radius and slant height calculate the height, volume, lateral surface area and total surface area.
Given r, s find h, V, L, A
h = √(s2 - r2)
Given radius and volume calculate the height, slant height, lateral surface area and total surface area.
Given r, V find h, s, L, A
h = (3 * v) / (πr2)
Given radius and lateral surface area calculate the height, slant height, volume and total surface area.
Given r, L find h, s, V, A
s = L / (πr)
h = √(s2 - r2)
Given radius and total surface area calculate the height, slant height, volume and lateral surface area.
Given r, A find h, s, V, L
s = [A - (πr2)] / (πr)
h = √(s2 - r2)
Given height and slant height calculate the radius, volume, lateral surface area and total surface area.
Given h, s find r, V, L, A
r = √(s2 - h2)
Given height and volume calculate the radius, slant height, lateral surface area and total surface area.
Given h, V find r, s, L, A
r = √[ (3 * v) / (π * h) ]
Given slant height and lateral surface area calculate the radius, height, volume, and total surface area.
Given s, L find r, h, V, A
r = L / (π * s)
h = √(s2 - r2)
Step-by-step explanation:
this is my answer on cone question
What do you call a character’s direct speech in a literary text?
1. voice
2. dialogue
3. conversation
4. characterization
A character’s direct speech in a literary text is called as dialogue, so option 2 is correct.
In a literary text, a character's direct speech is referred to as "dialogue."
Dialogue is a literary device that involves a conversation between two or more characters.
It is the written representation of the spoken words between characters in the story.
Dialogue allows readers to understand the interactions, emotions, thoughts, and personalities of the characters through their words and interactions with each other.
Hence, a character’s direct speech in a literary text is called as dialogue, option 2 is correct.
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Which function's graph is stretched vertically by a factor of 3 and shifted up 17 units when compared to the parent function f(x) = 5x^4 - 4x^3 + 10x?
A) 3(5x^4 - 4x^3 + 10x) - 17
B) 3(5x^4 - 4x^3 + 10x) + 17
C) 3(5x^4 - 4x^3 + 10x + 17)
D) 3(5x^4 - 4x^3 + 10x - 17)
not sure on how to type this out but can anyone help me ??
Answer:
615
Step-by-step explanation:
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jdjdhfhfhchfhfhhfhdhfggc DC DC FB b NH bang BB bg
What is the equation for a proportional relationship?
Question 1 options:
y=kx
x=ky
k=yx
y=k/x
Answer:
y=kx
Step-by-step explanation:
John wants to construct a fence around his farm.
The farm is circular in shape with a diameter of 3 ft.
What is the length of fencing material he will need to fence one complete circle around his farm?
(Use 3.14 for the value of ∏ (pi))
HELP ASAP PLEASE
Answer:
9.42
Step-by-step explanation:
[tex]p = \pi \: r \\ [/tex]
=3.14 × 3ft
=9.42 ft
Find the value of x
………..
Answer:
135°
Step-by-step explanation:
In a hexagon, sum of all angles = 720
x + x + x + x + 90 + 90 = 720
4x + 180 = 720
4x = 720 - 180
4x = 540
x = 135°
please explain set in mathematics
Answer:
Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory, as a branch of mathematics, is mostly concerned with those that are relevant to mathematics as a whole.
hope this helps
i need help with this question
Answer:
what question?
Step-by-step explanation:
5 Which of the following does NOT represent an equation?
A Twice a number is six.
B x + 6 = 10
C 6 years older than Mike
D-9 +2 = -1 -
Steve set up a business making friendship bracelets. He earned $70 in January. He is projected to earn 120% more in February. How much is Steve projected to make in February?
$84
$98
$154
$190
Answer:
$84
Step-by-step explanation:
84 is the answer because they said he earned $70 dollars in January he then projected to
earn 120% in February so the solution is:
120÷100×70
Make y the subject of each of y − p = m
6) Which of the following is not a solution to the
inequality 5x + 3y ≥ -3?
Step-by-step explanation:
5x + 3y ≥ -3
5x ≥ -3
x ≥ -3/5
5x + 3y ≥ -3
3y ≥ -3
y ≥ -3/3
y ≥ -1
Solution
x ≥ -3/5 and y ≥ -1
Are 2/3 and 8/12 equivalent ratios? If so, what can you multiply one by to get to the other?
Answer:
Yes
Step-by-step explanation:
Yes, since the relationship between the denominators can be expressed as x(4) = y, then you must apply this to the numerators as well. If you multiply 2 by 4 the result is 8, which aligns with the 2nd ratio - in fraction form.
I hope this helped a bunch! Tell me if you need any further assistance...
( :
Answer:
Yes
Step-by-step explanation:
2/3 and 8/12 are equal because of a multiplying factor. To get from 2 to 8, you'd have to multiply by 4. And to get from 3 to 12 you would have to multiply by 4 as well. So that means they are equal because both the numerator and denominator are multiplied by 4.
Can anyone help me with this?
Step-by-step explanation:
1 step-Multiple the angle by π/180° to present it in radians.
2 step- Simplify the expression.
The answer is in the photo.
How many boys completed and how many girls competed
Answer:
504 boys and 496 girls
Step-by-step explanation:
that my guess
find the value of x
please help
- 7.4x = - 22.2
Answer:
x = 3
Step-by-step explanation:
To solve this for x, divide both sides by -7.4. This step results in
-22.2
x = -------------- = 3
-7.4
x has the value 3 here.
all the math on khan
The sourdough bread machine at the restaurant can bake 20 loaves of bread in
1/2 of an
hour. The whole wheat bread machine can bake 30 loaves of bread in 1/3
of an hour.
Which machine makes bread faster? Explain or show how you know.
Answer........
Step-by-step explanation:
Enter the value for x that makes the equation 2(x - 4) = 6x + 8 true
Answer:
x = -4
Step-by-step explanation:
2(x - 4) = 6x + 8
2x - 8 = 6x + 8
-4x - 8 = 8
-4x = 16
x = -4
Answer:
x = - 5.33
Step-by-step explanation:
2(x - 4) = 6x + 8 Remove the brackets
2x - 8 = 5x + 8 Subtract 2x from both sides
2x-2x - 8 = 5x - 2x + 8 Combine
- 8 = 3x + 8 Subtract 8 from both sides
-8 - 8 = 3x + 8 - 8 Combine
- 16 = 3x Divide by 3
-16/3 = 3x/3
-5.33 = x
Find the area of the area Of the trapezoid
Answer:
70
Step-by-step explanation:
u dint give me the hight but i guess its around 7 so i might be 70
Give the semantic type for each of the functions in (1).(1) a. λf(et) .tina(e)b. λg(e(et)).λx(e).g(x)(John(e))c. λf(et).λg(et). ∼(g(tina) ∧ f(tina))d. λg(et).λx(e). ∼(g(x))Simplify the expressions in (2) as far as possible using the beta-reduction rule and showing all intermediate steps.(2) a. (λx(e) .x)(mary(e))b. ((λx(e) .λf(et) .x)(tina(e) ))(tall(et) )c. ((λg(e(et)).λx(e).λy(e).g(y)(x))(shave(e(et))))(Mary(e))d. ((λg(e(et)).λx(e).g(x)(x))(shave(e(et))))(John(e))e. ((λf(et.)λg(tt).λx(e).g(f(x)))(tall(et)))(λy(t).1 − y)
Answer:
ahmmm d ko gets
sary sary phoooooo
How would i solve this?
Answer: 3 & 1/3
whole part = 3
fractional part = 1/3
=======================================================
Work Shown:
4/6 = x/5
4*5 = 6*x
20 = 6x
6x = 20
x = 20/6
x = (18+2)/6
x = (18/6) + (2/6)
x = 3 + (1/3)
x = 3 & 1/3
Side note: The first equation mentioned is only valid when we have parallel lines like this. This in turn leads to similar triangles and helps set up the ratio.
Brenda is buying three birthday cards for $8.97. Sales tax on the three cards is $0.63. What is the total cost?$9.50$8.60$9.60$8.50
Answer:
the answer would be $9.60
Step-by-step explanation:
$8.97 + $0.63 = $9.60
To prove you own a car, what are the papers called?
✅Title
- Lease
- Owner’s Manual
- License Plate
Answer:
the answer is title
Step-by-step explanation:
