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yKpoI14uk [10]
2 years ago
15

Consider the graph of the function f(x)=10^x

Mathematics
2 answers:
stich3 [128]2 years ago
8 0

Answer:

Horizontal asymptote of y = 0

Step-by-step explanation:

Given function:

f(x)=10^x

<u>Given translation</u>

f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}

Therefore,

g(x)=f(x+4)=10^{x+4}

So g(x) is f(x) <u>translated 4 units left</u>

As the curve has been translated horizontally, the <u>horizontal asymptote</u> will <u>not</u><u><em> </em></u><u>change</u> and so is still y = 0.

There is <u>no x-intercept</u> as the curve gets very close to, but never touches, the x-axis.

The y-intercept is when x = 0:

\implies \textsf{y-intercept}=10^{0+4}=10^4=10000

So the y-intercept of g(x) is (0, 10000)

Sidana [21]2 years ago
4 0

Step-by-step explanation:

B. Is correct, the graph will never touch 0 if we shift the graphs horizontally,

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Answer :Anita's age = 7 years

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Step 1. Assign variables to Anita's and Basilio's ages.

Anita's age = A

Basilio's age = B

 

Step 2. Use the information given to form two equations.

Anita is 4-1/2 years older than Basilio

A = 4.5 + B

 

Three times Anita's age added to six times Basilio's age is 36

3A + 6B = 36

 

Step 3. Substitute the value of A from first equation in to the second equation and solve for B

3(4.5 + B) + 6B = 36

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13.5 + 9B = 36

9B = 36 - 13.5

9B = 22.5

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Step 4. Find the value of A

A = 4.5 + 2.5 = 7

 

Answer:

Anita's age = 7 years

Basilio's age = 2.5 years

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