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3 years ago

Given the parent functions f(x) = log10 x and g(x) = 3x − 1, what is f(x) • g(x)?

2 answers:

6 0

We are given with two functions f(x) = log10 x and g(x) = 3x − 1 and is asked for the product of the two functions expressed as f(x) • g(x). The answer then is simply the product of the two functions, that is log x * (3x - 1). log 10 x is equal to log x.

Molodets [167]3 years ago

6 0

Answer:

$\log_{10}x \cdot (3x-1)$ or

$3x \log_{10} x -\log_{10} x$

Step-by-step explanation:

Given the parent function:

$f(x) =\log_{10} x$ and $g(x)=3x-1$

we have to find $f(x) \cdot g(x)$

$f(x) \cdot g(x)$

⇒ $(\log_{10}x) \cdot (3x-1)$

⇒ $\log_{10}x \cdot (3x-1)$

we can write this as:

$3x \log_{10} x -\log_{10} x$

Therefore, the result of $f(x) \cdot g(x)$ we get, $\log_{10}x \cdot (3x-1)$ or $3x \log_{10} x -\log_{10} x$

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Mr. Thomas spent $1,600 of his savings on a television set and 2/5 of the remainder on a refrigerator. He had 1/3 of his origina

Katena32 [7]

Answer:

The amount spent on the refrigerator is $ 800 .

Step-by-step explanation:

Given as :

The amount spent on television = $ 1600

Le The total amount in the account = $ A

so, The amount left in account after spent on television = $ A - $ 1600

The amount spent on refrigerator = $\frac{2}{5}$ × ( A - 1600 )

The amount left in his saving account = $\frac{1}{3}$ × A

Now, According to question

A - ( 1600 + $\frac{2}{5}$ × ( A - 1600 ) ) = $\frac{1}{3}$ × A

Or, A - $\frac{1}{3}$ × A = 1600 + $\frac{2}{5}$ × ( A - 1600 )

Or, $\frac{2}{3}$ × A = 1600 + $\frac{2}{5}$ × A - $\frac{2}{5}$ × 1600

or, $\frac{2}{3}$ × A - $\frac{2}{5}$ × A = 1600 - 640

Or, $\frac{10 - 6 }{15}$ × A = 960

or, $\frac{4}{15}$ × A = 960

∴ A = $\frac{960\times 15}{4}$

I.e A = 3600

So, The amount in the saving account is $3600

∵ , The amount spent on refrigerator = $\frac{2}{5}$ × ( 3600 - 1600 )

Or, The amount spent on refrigerator = $\frac{2}{5}$ × 2000

I.e The amount spent on refrigerator = $ 800

Hence The amount spent on the refrigerator is $ 800 . Answer

4 0

3 years ago

a bank offers an annual simple interest rate of 8% on Home Improvement loans, Tobias borrowed $17,000 over a period of 2 years.

shepuryov [24]

The answer would be $19,270.
Steps:
1. Take 17,000 and multiply by 8%.
2. Take the sum of that which is $1,360 and multiply by two (for the two years).
3.The sum of that would be $2,720 and add onto $17,000.
4. The sum of that would be $19,270!

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3 years ago

In one hour Dele walks 8km. how long will it take her to walk 14km at the same rate

erastovalidia [21]

Answer:

it will take her 2 hours and 45 minutes

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2 years ago

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kati45 [8]

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