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3 years ago

For the function F (X) = (x - 2)^2 + 4, identify the vertex.

Mathematics

1 answer:

VLD [36.1K]3 years ago

5 0

Answer:

The answer will be D. (2,4)

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The weekly sales of Honolulu Red Oranges is given by q = 896 − 20p.(A) Calculate the price elasticity of demand when the price i

vitfil [10]

Answer with Step-by-step explanation:

Since we have given that

q = 896-20p

p = $32

.(A) Calculate the price elasticity of demand

As we know that

$e=-\dfrac{dq}{dp}\times \dfrac{p}{q}\\\\e=-(-20)\times \dfrac{32}{896-20p}\\\\e=\dfrac{20\times 32}{896-20p}\\\\e=\dfrac{640}{896-20p}\\\\e=\dfrac{640}{896-640}\\\\e=\dfrac{640}{256}=2.5$

(B) The demand is going down with increase in 15 increase in price at that price level, as we know that there is inverse relationship between price and quantity demanded.

(C) Also, calculate the price that gives a maximum weekly revenue.

$R=pq\\\\R=p(896-20p)\\\\R=896p-20p^2$

We first find the first derivative:

$R'(p)=896-400p$

So, it becomes,

$896-40p=0\\\\40p=896\\\\p=\dfrac{896}{40}=\$22.4$

R=-40<0, so, it will give maximum revenue.

(D) Find this maximum revenue.

Maximum revenue would be $R=pq\\\\R=22.4(896-20\times 22.4)\\\\R=\$10035.2$

7 0

3 years ago

What do you mean by the value of function?

Ghella [55]

Answer:

defined as the average value of the function over its domain

4 0

3 years ago

Read 2 more answers

The width of a rectangle is 1units less than the length. The area of the rectangle is 42 units

Sever21 [200]

Answer:

Step-by-step explanation:

w=l-1

∵A=l×w

∴A=l×(l-1)

⇒42=l²-l

⇒l²-l-42=0 (After subtracting 42 from both sides)

Two factors of 42 that add to give negative 1 :-7+6

∴ (l-7)(l+6)=0

∴ l=7 or l=-6

but remember that length is a scalar quantity, hence l≠6 but l=7.

I hope this helped you solve this math problem and made you better understand

8 0

3 years ago

5x+10y= −5 ;-5x-y=32

sashaice [31]

Answer:

x=-7 y=3

Step-by-step explanation:

5x+10y=-5

-5x-y=32

9y=27

y=3

5x+10(3)=-5

5x+30=-5

5x=-35

x=-7

8 0

3 years ago

Graph the linear equation x+y=-2<br> make 3 points

netineya [11]

There is no graph so we cant graph it

6 0

3 years ago