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Anarel [89]
3 years ago
10

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

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
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)

or

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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Answer:

D - ASA

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John and his friend ordered lunch at a local sandwich shop. They each ordered a soft drink that costs $1.65. John orders a whole
ExtremeBDS [4]

Answer:

a. $12.54 = $ 1.65 + c/2 + c b. $ 7.26

Step-by-step explanation:

a. What equation can you use to find the cost c of a sandwich

Let c be the cost of a whole ham sandwich. Now, the total bill = cost of drinks + cost of half a ham sandwich  + cost of a whole ham sandwich.

total bill = $ 12.54, cost of drinks = $ 1.65, cost of half a ham sandwich = c/2 and cost of a whole ham sandwich = c. So,

$12.54 = $ 1.65 + c/2 + c

b. What is the value of c

We then solve for c in the equation $12.54 = $ 1.65 + c/2 + c

collecting like terms, we have

$12.54 - $ 1.65 = c/2 + c

$ 10.89 = 3c/2

multiplying through by 2, we have

$ 10.89 × 2 = 3c

$ 21.78 = 3c

dividing through by 3, we have

c = $ 21.78/3

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4 0
2 years ago
An art studio purchased a triangular plot of land in a town and constructed a new building whose base is in the shape of a right
Vinvika [58]

Answer:

The sides are 30 ft, 40 ft and 50 ft.

Step-by-step explanation:

The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.

Using Pythagoras theorem the length of the sides can be found.

a² + b² = c²

(x - 4)² + (x + 6)² = (2x - 18)²

(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)

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2x² - 8x + 12x + 16 + 36 = 4x² - 72x +  324

2x² + 4x + 52 = 4x² - 72x +  324

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2x² - 76x + 272 = 0

divide through by 2

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find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.

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x(x - 4) - 34(x - 4) = 0

(x - 4)(x - 34 ) = 0

x = 4 or 34

we can only use 34 since using 4 will result to negative number.

x - 4  = 34 - 4 = 30 ft

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kakasveta [241]

Answer:

true

Step-by-step explanation:

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