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Natali [406]
3 years ago
5

What is (f–g)(x)?f(x) = -3x2g(x) = -3x2+9x

Mathematics
1 answer:
s2008m [1.1K]3 years ago
8 0

Answer:

what is it asking???? it doesn't make sense

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How would you answer this question?
grigory [225]

Answer: Choice B

If you lower your rates by 6% you will increase the number of occupancies by 12%

========================================================

Explanation:

Price Elasticity of Demand is found by dividing the percent change of demand over the percent change in price

\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}

If the price drops 6% leads to a 12% increase in demand, then we get this elasticity

\text{Price Elasticity of Demand} = \frac{\% \text{ change in demand}}{\% \text{ change in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\% \text{ increase in demand}}{6\% \text{ drop in price}}\\\\\text{Price Elasticity of Demand} = \frac{12\%}{-6\%}\\\\\text{Price Elasticity of Demand} = \frac{0.12}{-0.06}\\\\\text{Price Elasticity of Demand} = -2\\\\

The absolute value of that result is 2. We work backwards going from 2 to see the relationship between the 12% and 6%.

-------------

Side notes:

  • Choice A is incorrect as a price elasticity of demand larger than 2 means we have elastic (rather than inelastic) demand.
  • Choice C is incorrect because while raising rates does bring in more money in certain situations, there's a limit to how much the price goes up before people stop showing up. The prices can't go up forever. Also, the fact we have an elastic product means people are either forgoing this hotel or finding a substitute.
  • Choice D is incorrect. Products with high demand elasticity usually have substitutes. Any slight change in the price leads people to seek cheaper options. Unless we're dealing with a small town there are usually multiple hotels to choose from.
5 0
4 years ago
Michael breeds chickens and ducks. Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36
Radda [10]

Answer:

a chicken cost $4

a duck cost $11.66

Step-by-step explanation:

Let the cost of one chicken be x

then cost of 50 chicken = 50x

cost of one duck be y

cost of 30 ducks = 30y

It is given that  50 chickens and 30 ducks cost $550

thus

50x+30y = 550

dividing LHS and RHS by 10 we have

50x/10+30y/10 = 550/10

=>5x+3y = 55 ____________________(1)

_________________________________

for this month we have calculation as given below

cost of 44 chicken = 44x

cost of 36 ducks = 36y

It is given that  44 chickens and 36 ducks cost $532

thus

44x+36y = 532

dividing LHS and RHS by 4 we have

44x/4+36y/4 = 532/4

=>11x+9y = 133  ______________2

__________________________________

we have equation

5x+3y = 55 ____________________(1)

11x+9y = 133  ______________2

multiplying equation 1 by 3 on LHS and RHS we have.

(note: multiplication with3 is done to transform 3y into 9y

so that y can be removed from equation)

5x*3+3y*3 = 55*3

=> 15x+9y = 165  ___(3)

subtracting equation 3 from equation 1 we have

15x+9y = 165

-(11x+9y )= 133

15x +9y -11x -9y = 165 - 133

=> 4x = 32

=> x = 32/4 = 4

5x+3y = 55

=>5*4 +3y = 55

=>20+ 3y = 55

=>3y = 55-20 = 35

=>y = 35/3 =11.66

Thus,a chicken cost $4

a duck cost $11.66

5 0
3 years ago
Help me out with this question please!​
Mandarinka [93]

Answer:

1) Length of BC + Length of DE = 17 cm

2) The perimeter of the shape ABCDEF is 58 cm

Step-by-step explanation:

1) The given parameters are;

The length of the rectangular sheet of paper = 17 cm

The width of the rectangular sheet of paper = 12 cm

Therefore, we have;

The length of the side of the cut out square piece = DE = CD

By the definition of a square, the length of all sides of the square are equal

The length of BC + The length of one side of the square = The length of the rectangular paper = 17 cm

The length of BC + The length of one side of the square DE (or CD) = 17 cm

2) The perimeter, 'P', of the shape ABCDEF is given as follows;

P = Length of AB + Length of BC + Length of CD + Length of DE + Length of EF + Length of FA

Therefore, we have;

P = Length of AB + Length of BC + Length of DE + Length of CD + Length of EF + Length of FA

Length of BC + Length of DE = 17 cm

Similarly, we have;

Length of CD + Length of EF = 12 cm

∴ P = Length of AB + 17 cm + 12 cm + Length of FA

P = 12 cm + 17 cm + 12 cm + 17 cm = 58 cm

The perimeter of the shape ABCDEF = P = 58 cm.

6 0
3 years ago
Solve for x.<br> 4≥10−7x<br><br> x≥−2<br> x≤−2<br> x≥2 ( I think this is the correct answer)<br> x≤2
Allisa [31]
<span>= -4 ≥ 10 − 7x         [ changed 4 to -4 on the request of questioner ]
Subtract 10 from both sides, 
= -4 - 10 </span>≥ -7x + 10 - 10
= -14 ≥ -7x

Divide both sides from -7, 
= -14/-7 ≤ -7x/-7    [ sign changed as we use "-" here ]
= x ≥ 2

In short, Your Answer would be x ≥ 2 which is Option C

Hope this helps!
6 0
3 years ago
Read 2 more answers
Is ABC DEF? If so, name which similarity postulate or theorem applies. Pls explain. Thanks!! :)
Inessa05 [86]

Answer: B. Similar - AA

Step-by-step explanation:

The AA or Angle-Angle postulate states that if two corresponding angles are congruent, then the triangles are congruent.

3 0
3 years ago
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