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2 years ago

Which function is a shrink of the exponential growth function shown on the graph?

Mathematics

2 answers:

SOVA2 [1]2 years ago

5 0

Answer:

B is the anwer just took the test

Step-by-step explanation:

fgiga [73]2 years ago

3 0

The exponential function shown in the graph is 3^x, so (1/2)3^x is a shrink of it.

Selection B is appropriate.

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Anni [7]

Answer:

8/17

Step-by-step explanation:

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sin∠D = $\frac{8}{17}$

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2 years ago

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3 years ago

A fried chicken franchise finds that the demand equation for its new roast chicken product, "Roasted Rooster," is given by p = 4

LUCKY_DIMON [66]

Answer:

1. $q=(\dfrac{45}{p})^{\frac{2}{3}}$

2. $E_d=-\dfrac{2}{3}$

Step-by-step explanation:

The given demand equation is

$p=\dfrac{45}{q^{1.5}}$

where p is the price (in dollars) per quarter-chicken serving and q is the number of quarter-chicken servings that can be sold per hour at this price.

Part 1 :

We need to Express q as a function of p.

The given equation can be rewritten as

$q^{1.5}=\dfrac{45}{p}$

Using the properties of exponent, we get

$q=(\dfrac{45}{p})^{\frac{1}{1.5}}$ $[\because x^n=a\Rightarrow x=a^{\frac{1}{n}}]$

$q=(\dfrac{45}{p})^{\frac{2}{3}}$

Therefore, the required equation is $q=(\dfrac{45}{p})^{\frac{2}{3}}$ .

Part 2 :

$q=(45)^{\frac{2}{3}}p^{-\frac{2}{3}}$

Differentiate q with respect to p.

$\dfrac{dq}{dp}=(45)^{\frac{2}{3}}(-\dfrac{2}{3})(p^{-\frac{2}{3}-1}})$

$\dfrac{dq}{dp}=(45)^{\frac{2}{3}}(-\dfrac{2}{3})(p^{-\frac{5}{3}})$

$\dfrac{dq}{dp}=(45)^{\frac{2}{3}}(-\dfrac{2}{3})(\dfrac{1}{p^{\frac{5}{3}}})$

Formula for price elasticity of demand is

$E_d=\dfrac{dq}{dp}\times \dfrac{p}{q}$

$E_d=(45)^{\frac{2}{3}}(-\dfrac{2}{3})(\dfrac{1}{p^{\frac{5}{3}}})\times \dfrac{p}{(45)^{\frac{2}{3}}p^{-\frac{2}{3}}}$

Cancel out common factors.

$E_d=(-\dfrac{2}{3})(\dfrac{1}{p^{\frac{5}{3}}})\times \dfrac{p}{p^{-\frac{2}{3}}}$

Using the properties of exponents we get

$E_d=-\dfrac{2}{3}(p^{-\frac{5}{3}+1-(-\frac{2}{3})})$

$E_d=-\dfrac{2}{3}(p^{0})$

$E_d=-\dfrac{2}{3}$

Therefore, the price elasticity of demand is -2/3.

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2 years ago

On a backpacking trip through Europe, Troy spent 20 Swiss francs to stay one night in a youth hostel. If the foreign exchange ra

Vlad [161]

He spent 9 dollars and 9 cents so $9.09

5 0

3 years ago

Read 2 more answers

I need help, plato hates me...

klemol [59]

Answer:

The inverse function is g(x) = ± $\frac{\sqrt{x+12}}{3}$ , x ≥ -12 ⇒ D

Step-by-step explanation:

* Lets explain how to find the inverse function

- The steps of find the inverse of function f(x)

# Write y = f(x)

# Switch x and y

# Solve to find the new y

* Lets solve the problem

∵ f(x) = 9x² - 12

- Do the steps above

- Put y = f(x)

∵ y = f(x)

∴ y = 9x² - 12

- Switch x and y

∴ x = 9y² - 12

- Add both sides by 12

∴ x + 12 = 9y²

- take √ for both side don't forget to put ± in-front of it

∴ ± $\sqrt{x+12}$ = 3y

- Divide both sides by 3

∴ y = ± $\frac{\sqrt{x+12}}{3}$

∵ There is no square root for negative number

∴ x + 12 ≥ 0 ⇒ subtract 12 from both sides

∴ x ≥ -12

- The function is defined for all values of x greater than or equal -12

∴ The inverse function is g(x) = ± $\frac{\sqrt{x+12}}{3}$ , x ≥ -12

5 0

3 years ago