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Alex787 [66]
3 years ago
12

Find the width of the rectangle if it's area is (3x^2 + 9xy + 6y^2 ) square centimeters

Mathematics
1 answer:
Lelechka [254]3 years ago
8 0
The area of a rectangle is given by:
area=length*width
this implies that the width will be given by:
width=(area)/(length)
area=(3x^2+9xy+6y^2)
length=(3x+6y)
thus;
width=(3x^2+9xy+6y^2)/(3x+6y)
=[(3x+6y)(x+y)](3x+6y)
=(x+y) units

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Using the midpoint method (show your work), calculate the price elasticity of demand when the price of a barrel of gosum berries
Setler79 [48]

Answer:

0.18

Step-by-step explanation:

Given that:

P₁ = $10, P₂ = $20

From the tables Q₁ = 900, Q₂ = 800

Using midpoint method:

Percentage change in quantity = \frac{Q_2-Q_1}{(Q_1+Q_2)/2} *100\%=\frac{800-900}{(900+800)/2}*100\%= -11.76\%\\

Percentage change in price =

\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\

Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18

The Price of elastic demand is positive because we took the absolute value and elasticity are always positive

Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.

This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded

7 0
3 years ago
What is the area of this tile?
8_murik_8 [283]

Answer:

The area is 480 inches

10 × 8 = 80

80 × 6 = 480

8 0
3 years ago
Examine the diagram, where BD is tangent to circle M at point D, and BA is secant to the same circle at points E and A.
Stella [2.4K]

Answer:

19 = x

Step-by-step explanation:

The square of the tangent segment = The product of (whole secant segment) (the outside part of the secant segment)

BD²= (BA)(BE)        

8² = (4 + x - 7) (4)             BA = BE + EB

8² = (x - 3)(4)

64 = 4x - 12

64 + 12 = 4x

76 = 4x

19 = x

3 0
2 years ago
The growth of one child is represented by the expression 5x – 1. The growth of a second child is represented by the expression 2
IRISSAK [1]

5x-1=2x+3

subtract 2x from both sides.

3x-1=3

add 1 to both sides.

3x=4

3/4 is .75

answer is 3/4

7 0
3 years ago
If santa has to get to 11904762 houses per hour in 42 hours, how fast will rudolph have to fly in miles per hour?
Mashcka [7]

Answer:

Step-by-step explanation:

11904762\42 =283,446.7 houses per hour

6 0
3 years ago
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