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Kamila [148]
3 years ago
15

What is the equation of the asymptote? f (x) = 3^x-5+1 y=?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
4 0

The equation of the asymptote is y=1

Explanation:

The given equation is f(x)=3^{x-5}+1

We need to determine the horizontal asymptote of the equation.

The given equation is of the exponential function of the form f(x)=c \cdot n^{a x+b}+k and has a horizontal asymptote y=k

Hence, from the above equation, the value of k is 1.

Therefore, we have,

k=1

Thus, the horizontal asymptote is y=1

Therefore, the asymptote of the equation is y=1

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Solve using the elimination method. <br> show your work <br> 2x - y = 6 <br> x + y = 6
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x=4, y=2

Step-by-step explanation:

2x - y = 6  

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3x = 12

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David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to
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Answer:

The price of rice per gram is 0.006$

Step-by-step explanation:

I. David wants to make 10 servings,

each require 75 g of rice and 5 spice. When ratio is 15:1

If rice : spice = 75 : x

15x = 75

x = 5

=> 5 * 15 : 1 * 5

= 75 : 5

So rice : spice is  75 : 5

II. When 1 serving require 75 : 5

So 10 servings is 10 * 75 : 5 * 10

= 750 : 50

So he must has 750 grams rice and 50 grams spice.

III. He must buy spice and rice which..

a) He has 40 grams spice, he'll buy for 10 grams spice.

b) He has no rice, he'll buy for 750 grams rice.

But the question only ask for price of rice which he spend 4.5$

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That makes 0.006$ is the right answer.

Hope that help :)

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