MATHEMATICS HIGH SCHOOL

G=H(q+Q)for Q

Solve for Q

I dont understand how to do this.

Answers

Answer 1
Answer: G=H(q+Q)\n\nH(q+Q)=G\n\nHq+HQ=G\ \ \ \ \ |both\ sides\ -Hq\n\nHQ=G-Hq\ \ \ \ |both\ sides\ :H\n\nQ=(G-Hq)/(H)

or\n\nH(q+Q)=G\ \ \ \ \ |both\ sides\ :H\n\nq+Q=(G)/(H)\ \ \ \ \ |both\ sides\ -q\n\nQ=(G)/(H)-q
Answer 2
Answer: G=H(q+Q)\n q+Q=(G)/(H)\n Q=(G)/(H)-q

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What is the length of the hypotenuse, x, if (12, 35, x) is a Pythagorean triple?
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Answers

Answer:

x = 37

Step-by-step explanation:

Lets take  12 as base (b) and 35 as perpendicular (p)

The hypotenuse (h) = x = ?

We know by using Pythagoras theorem

h^(2) =p^(2) +b^(2)

h^(2) =35^(2) +12 ^(2)

h^(2) = 1225 + 144\nh^(2)= 1369

h =√(1369)

Therefore h = 37

Hope it was helpful:)

Suppose that a when a cell phone store charges 16$ for a car charger, it sells 92 units. When it drops the price to 15$ it sells 96 units. Assume that demand is a linear function of price. If each phone charger costs 1$ to make, what price should the store charge to maximize its profit?
If x is the number of times the price is reduced by one dollar.

Find a function for total profit with respect to x. A negative value for x will mean the price is increased.

Answers

D(x) = mx + c ; where x is selling price , c is constant, m is slope 
given D = 21 when x = $16 
21 = 16m + c ------------1) and also we know D = 24 unit, when x = $15, 
24 = 15m + c ------------2) 
subtract eqn 2) from eqn 1) we get 
-3 = m , and plug this value of m in eqn 1) we get 
21 = 16*(-3) + c => c = 69 
hence demand function 
D(x) = -3x + 69 
Cost price is C = $1 
Profit = Revenue - Cost price 
P(x) = Demand*Selling price - Cost per unit* Demand 
P(x) = (69 - 3x)*x - 1*(69 - 3x) 
P(x) = 69x - 3x² - 69 + 3x ; or 
P(x) = - 3x² + 72x - 69 -------------Answer 
Differentiate profit function with respect to x (selling price) 
dP/dx = -3*2x + 72 - 0 
0 = 72 - 6x ; plug dP/dx = 0 for maxima minima 
6x = 72 
x = $12 per unit --------Answer 
(Since d²P/dx² = -6 < 0 , hence profit will be maximum at x = $12 per unit 
and Demand would be D(@12) = 33 unit 
Revenue = 33*$12 = $396 
Cost = $1*33 = $33 
Max Profit = #396 - $33 = $363 

Each side of a regular pentagon is m + 10 inches. The formula for finding the perimeter of the pentagon is shown below. P = 5(m + 10) Which equation shows this formula solved for m? A. m =P − 5 / 10 B. m = 5P − 50 C. m = P − 50 / 5 D. m = P5 − 50

Answers

Answer:

Solving for m gives:

m=(P-50)/(5)

which is option C in the list of possible answers

Step-by-step explanation:

Starting with the given equation, we work on using distributive property, and then on isolating the term with the variable to express:

P=5\,(m+10)\nP=5m+50\nP-50=5m\n(P-50)/(5) = m\nm=(P-50)/(5)

Is This a Linear Function?explain

Answers

no because it’s points dont form a straight line.

To begin an indirect proof you assume the converse of what you intend to prove is true

Answers

False. The converse may be either true or false, depending on what the original statement is, so assuming the converse would be pointless.

Answer:

false

Step-by-step explanation:

statement: if apple, than it is fruit

converse: if fruit, than it is apple (not always true)

The converse statement is sometimes true sometimes not

What is the simplified expression for 5 a b + 9 a b minus a b?

Answers

Answer:

13ab

Step-by-step explanation:

5ab+9ab-ab=ab(5+9-1)=13ab
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