Multiply: (3x to the power 4 + 2y to the power 2)(5x to the power 2- y to the power 4)
Answers
Answer:
it is the last one because you are adding the powers but, multiplying the numbers infront the Xs.
Related Questions
A manufacturer is planning to sell a new product at the price of 210 dollars per unit and estimates that if x thousand dollars is spent on development and y thousand dollars is spent on promotion, consumers will buy approximately 160y/(y+4)+170x/(x+7) units of the product.
If manufacturing costs for the product are 130 dollars per unit, how much should the manufacturer spend on development and how much on promotion to generate the largest possible profit?
Round your answer to the nearest dollar.
Development costs: $ ?
Promotion costs: $ ?
Answers
Answer:
Development costs: $2757
Promotion costs: $3155
Step-by-step explanation:
This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.
Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).
Let's solve separately.
We need to maximize:
$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y
$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x
Let's go:
$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y
we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.
deriv = $51200/(y+4)/(y+4) - $1000
We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.
(y+4)^2 = $51.2
y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).
y ~= 3.155417528
lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.
rounding $1000y to the nearest dollar gives us $3155
Let's do the same for x:
$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x
deriv = $95200/(x+7)/(x+7) - $1000
$95200/(x+7)/(x+7) - $1000 = $0
(x+7)^2 = 95.2
(x+7) ~= 9.75704873412
x ~= 2.75704...
rounding $1000x to the nearest dollar yields $2757
Help me out please??
Answers
Graph the rational function.
f(x)=4x+6/2+2
Answers
Answer:
my answer is 4x+6/2+2 is 10.3221Answer:
The graph is a line with slope 4 and Y intercept 5.
Step-by-step explanation:
Simplifying gives f(x)=4x+5.
Which rectangle has an area of 40 square units
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Answer:
The First square has an area of 40 square units
some one pleas help y=2x+3 y=-2x+15
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Answer:
x = 3. y= 9
Step-by-step explanation:
2x +3 = -2x +15
4x = 12
x = 3
y 2(3) + 3 = 9
HELP FIND THE VOLUME
ROUND TO THE NEAREST HUNDRETH
SHOW WORK PLEASE
WILL GIVE BRAINLIEST
Answers
5. Volume of sphere = 4/3 x pi xr ^3
Volume = 4/3 x 3.14 x 2^3 = 33.49 cubic feet.
6 . Volume of cylinder = pi x r^2 x height
Volume = 3.14 x 2^2 x 3 = 37.68 cubic meters
If a x b = 2a - 3b + ab, then 3 x 5 + 5 x 3 is equal to?
1. 20
2. 22
3. 24
4. 26
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Find the value of the expression 100 – 10p3 when p = 0
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Answer:
Step-by-step explanation:
despacito
A 6-pack of movie tickets cost $56.94. what is the unit price $__ per ticket
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Answer:
$9.49
Step-by-step explanation:
you take the $56.94 and divide by 6 to get the unit price
For to 30-60-90 triangle below, the length of side AB is 52 cm.
Find the length of CB.
PLZ
Answers
Answer:
Using 60°
Let side CB be x
Cos60= x/52
Cross multiply=
x= 52cos60
x= 26 cm
Which of the values in the set (2, 3, 4, 5) is a solution to the equation 2x + 4 = 10?
Answers
Answer:
3
Step-by-step explanation:
2x+4=10
2(3)+4=10 2*3 = 6
6+4=10
10 = 10
Given f(x)=0.25(6)x, find f−1(x).
Answers
Answer:
f−1(x) = [tex]\frac{4x}{6}[/tex]
Step-by-step explanation:
f(x) = 0.25(6)x, find f−1(x).
f(x) = 0.25(6)x
f(x) = [tex]\frac{6}{4}[/tex]x = [tex]\frac{6x}{4}[/tex]
f(x) = y
y = [tex]\frac{6x}{4}[/tex]
Substitute y for an x & x for a y
x = [tex]\frac{6y}{4}[/tex]
Multiply both sides by 4
4( x ) = 4( [tex]\frac{6y}{4}[/tex] )
4x = 6y
Divide both sides by 6 to solve for y
[tex]\frac{4x}{6}[/tex] = y
y = [tex]\frac{4x}{6}[/tex]
so f−1(x) = [tex]\frac{4x}{6}[/tex]
PLEASE HELP IMAGE ATTACHED⚠️⚠️⚠️⚠️⚠️
Answers
Answer:
A'(4, -3) ; T'(-1, 4)
Step-by-step explanation:
Multiply the coordinates by 1/2, or divide them by 2 to get the new points.
A(8, -6) ⇒ A'(4, -3)
T(-2, 8) ⇒ T'(-1, 4)
My mama is mad at me because I don't know how to do it can someone help me please it would mean a lot to help me understand what a exponent is in algebra
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can the sides of a right triangle have the lengths 5 15 and 250. explain
Answers
Answer:
yes
Step-by-step explanation:
Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides. Here a is equal to 5 and c is equal to 14, so b2 = 142 – 52 = 171. Therefore b is equal to the square root of 171 or approximately 13.07.
HELP WITH MATH THANKS SO MUCH
Answers
Answer:
120 units^2
Step-by-step explanation:
1/2bh
In this scenario rotate the triangle and you get 10 as the base and 24 as the height
1/2*10*24
12*10=120
Answer:
6,240 unit squared is the answer
Use the Distributive Property to simplify this expression:
7 - 3 (2x + 3)
X=
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Answer:
8x+12
Step-by-step explanation:
(Take the=22/7)
curved surface area of cylinder with diameter 21cm and height 5cm.
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Answer:
330cm²
Step-by-step explanation:
CSA of a cylinder = 2πrh
(r = d/2 = 21/2 = 10.5 cm)
Putting the values of 2πrh;
2 x 22/7 x 10.5 x 5
2 x 22 x 1.5 x 5 *(10.5/7 = 1.5)
330 cm²
two numbers with a total between 300 and 400
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It equals 361
If we add together different numbers lime 234 and 184 it would make 418 and thats too high.
Hope this helps:)
ILL GIVE BRAINIEST ANSWER IM IN A RUSH!!!!!PLEASE AND THANK YOU!
Answers
Answer:
I believe the answer is $52.46
Hope this helps :)
Find the value of x.
(Round to the nearest tenth as needed.)
Answers
Answer:
x ≈ 12.8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Angle θ = 58°
Opposite Leg = x
Adjacent Leg = 8
Step 2: Solve for x
Substitute in variables [tangent]: tan58° = x/8[Multiplication Property of Equality] Isolate x: 8tan58° = xRewrite: x = 8tan58°Evaluate: x = 12.8027Round: x ≈ 12.8I’m confused need help please
Answers
Answer: The answer is 8
If you bought something in Texas for $52.00, you would be charged $3.25 in state sales tax. What is the state sales tax rate in Texas? Round your answer to the nearest hundredth of a percent
Answers
Answer:6.25%
Step-by-step explanation:
3.25 / 52 = 0.0625
The diameter of a basketball rim is 18 inches. What is the circumference of the rim?
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Please help ASAP!!!
Answers
Answer:
Cry about it wah wah wahhhhhhhh
Step-by-step explanation:
2x+5y=50
Solve for x and then solve for y
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Answer:
x = 25 - 5y/2
y = 10 - 2x/5
help Which is the product of 15 and 5/12
?
A.
5
5
/
12
B.
6
1
/
4
C.
7
1
/
12
D.
7
3
/
4
Answers
Answer:
the answer to your question would be b,6 1/4
Put the following equation in Standard Form:
(1/2)x - 4 = (2/3)y
Answers
Answer:x=4/3y+8
Step-by-step explanation:
Step 1: Add 4 to both sides.
Step 2: Divide both sides by 1/2.
Answer:
3x-4y =24
Step-by-step explanation:
hope this helped xoxo
10= p/10 what does p equals? WILL MARK BRAINIEST
Answers
Answer:
p=100
hope this helps
Triangle EFG is similar to triangle HIJ. Find the measure of side JH. Round your
answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answers
Answer:
JH = 97.9
Step-by-step explanation:
25/12 = x/47
12x = 1175
x = 97.917