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Yuki888 [10]
3 years ago
7

Need help with multiple answer math problem!

Mathematics
1 answer:
svetlana [45]3 years ago
6 0
(a) getting the difference of outputs of any two inputs that are 1 unit apart, we have the following:
-3 – (-11) = 8
5 – (-3) = 8
13 – 5 = 8
21 – 13 = 8
29 – 21 = 8
37 – 29 = 8
45 – 37 = 8
53 – 45 = 8
(b) getting the difference of outputs of any two inputs that are 2 units apart, we have the following:
5 – (-11) = 16
13 – (-3) = 16
21 – 5 = 16
29 – 13 = 16
37 – 21 = 16
45 – 29 = 16
53 – 37 = 16
(c) getting the difference of outputs of any two inputs that are 3 units apart, we have the following:
13 – (-11) = 24
21 – (-3) = 24
29 – 5 = 24
37 – 13 = 24
45 – 21 = 24
53 – 29 = 24
(d) To get the ratio of the required problem, first we divide the first difference of outputs by one input interval, that is
8÷1=8
Next, we divide the second differences of outputs by two input intervals, that is
16÷2=8
Lastly, we divide the third differences of outputs by three input intervals, that is
24÷3=8
Notice that each ratio have the same result which is 8. This means that whatever the number input intervals are, between two outputs is 8 times apart.
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7 0
3 years ago
The demand equation for a manufacturer's product is:
Juli2301 [7.4K]

From the given price function, we have;

(a) \frac{dp}{dq}  =  - 13

(b) The point elasticity of demand is 0.0256<u>;</u><u> </u><u>i</u><u>nelastic demand</u>

(c) $46.6

(d) Increase

<h3>How can the elasticity of demand be found?</h3>

a. The given function is presented as follows;

p = 50 \times (151 - q) ^{0.02 \times  \sqrt{q + 19} }

Differentiating the above function with a graphing calculator and setting q = 150 gives;

\frac{dp}{dq}  =  - 13

b. The point elasticity of demand is given by the formula;

e \:  = \frac{dq}{dp}  \times  \frac{p}{q}

When q = 150, we have;

P = 50

Which gives;

e \:  =  \frac{1}{13} \times  \frac{50}{150}  = 0.0256

The point elasticity of demand, <em>E </em>= <u>0.0256</u>

  • The <u>demand is inelastic</u> (less than 1) when the quantity demanded is 150 units

c. If the quantity demanded decreases from 150 to 140 units, we have;

0.0256 \:  =  \frac{1}{13} \times  \frac{p}{140}  =

Which gives;

p = 46.6

  • The price when the quantity demanded decreases to 140 is <u>$46.6</u>

d. Given that increase in price, from 46.6 to 50, increases the quantity demanded from 140 to 150, therefore;

  • The manufacturer should<u> increase the price</u>, <em>p </em>to increase the revenue, <em>R</em>.

R = p × q

Learn more about elasticity of demand here;

brainly.com/question/19141990

3 0
2 years ago
Which point would be on the residual plot of the data
Korolek [52]

Answer:

C.  (3,0)

hope this help

4 0
3 years ago
Read 2 more answers
Can someone help with this?
Veronika [31]

9514 1404 393

Answer:

  1. (x -3)(x -1)

  2. (x -4)(x +1)

Step-by-step explanation:

1. The long division is shown in the first attachment. The quotient is (x -3), so the factorization is ...

  x^2 -4x +3 = (x -1)(x -3)

__

2. The long division is shown in the second attachment. The quotient is (x -4), so the factorization is ...

  x^2 -3x -4 = (x +1)(x -4)

4 0
3 years ago
Is the statement below always something or never true give at least two examples to support your reasoning the LCM of two number
Mashcka [7]

Answer:

Sometimes, it is true

Step-by-step explanation:

The L. C. M of two numbers could be the product of the two Given numbers. This happens sometimes but not always. For instance, the Lowest Common. Multiple of 4 and 5 is 20

4 : 4, 8, 12, 16, 20, 24, 28, 32

5 : 5, 10, 15, 20, 25,...

L. C. M = 20 ; 4 * 5 = 20

However, L. C. M of 4 and 8

4 : 4, 8, 12, 16, 20, 24, 28, 32

8 : 8, 16, 24, 32, 40

L.C.M = 8 ; 4 * 8 = 32

HENCE, L. C. M could be the product of the 2 numbers sometimes and it may not in other scenarios.

3 0
2 years ago
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