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fredd [130]
2 years ago
5

write the equation of the line, in standard form, that is perpendicular to y=3x-2 and passes through (-7,2)

Mathematics
1 answer:
34kurt2 years ago
8 0

Answer:

x+3y=-1

Step-by-step explanation:

y=3x-2 so m=3 old slope

the new slope must be -1/3 (opposite reciprocal of the old slope).

y-y0=m*(x-x0)

y-2=-1/3*(x-(-7))

y-2=-1/3x-1/3*7

y-2=-1/3x-7/3

3y-6=-x-7

The standard form for linear equations in two variables is Ax+By=C.

x+3y=6-7

x+3y=-1

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The rug in Alan's room has an area of 18 square feet. He is planning to buy another rug that is twice as long and twice as wide.
Dennis_Churaev [7]
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Instructions: Enter your responses as percentages. Include a minus (-) sign for all negative answers. a. The price of good X dec
zalisa [80]

Answer:

COMPLETE QUESTION:

Suppose the own price elasticity of demand for good X is -3, its income elasticity is 1, its advertising elasticity is 2, and the cross-price elasticity of demand between it and good Y is -4. Determine how much the consumption of this good will change if: Instructions: Enter your answers as percentages. Include a minus (-) sign for all negative answers.

a. The price of good X decreases by 5 percent.

b. The price of good Y increases by 8 percent.

c. Advertising decreases by 4 percent.

d. Income increases by 4 percent.

ANSWER

a) The quantity demanded of good X will change by 15 percent

b) The demand for X will change by -32 percent.

c) The demand for good X will change by -8 percent

d) The demand of good X will change by 4 percent

Step-by-step explanation:

Price elasticity of demand measures how responsive  quantity demanded is to a change in the  price of  a commodity.

price elasticity = \frac{\frac{dQ}{Q} }{\frac{dP}{P} } .    

Note:  Same applies to income,advertising and cross-price elasticity.

where, P is the price of the demanded good and Q is the quantity of the demanded good and dQ and dP are the changes in quantities of demanded goods and prices respectively.

a) Quantity demanded on goods X due to decrease by 5 percent in price is ;

-3 = \frac{\frac{dQ}{Q} }{-5}     , therefore  percentage increase in quantity of goods demanded is  (-3 x -5) = 15 percent

       

b) Cross- Price Elasticity; Quantity demanded on goods X due to increase by 8 percent in price in goods Y is;

-4 = \frac{\frac{dQ}{Q} }{8}   , therefore percentage decrease in quantity of goods demanded is  (-4 x 8) = -32 percent

c)  Advertising Elasticity ; Quantity demanded on goods X due to decrease  by 4 percent in advertising is;

2 = \frac{\frac{dQ}{Q} }{-4}   , therefore percentage decrease in quantity of goods demanded is  (2 x -4) = -8 percent

d) Income Elasticity ; Quantity demanded on goods X due to increase by 4 percent in income is;

1 = \frac{\frac{dQ}{Q} }{4}   , therefore percentage increase in quantity of goods demanded is   (1 x 4) = 4 percent

3 0
3 years ago
Please answer this for me!!!
erastova [34]
Answer for this question would be yellow (-2,-3)
8 0
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0.15 with dash on top and the dash means its a repeating decimal and a repeating decimal is a decimal that repeats itself in this case it would be 0.1515151515 and so on 
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