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ZanzabumX [31]
3 years ago
14

f as a function of x is equal to the square root of quantity x plus six; g(x) = 8x - 10 Find f(g(x)).

Mathematics
1 answer:
rosijanka [135]3 years ago
6 0

Answer: The value of f(g(x)) is 2\sqrt{2x-1}

Step-by-step explanation:

Since we have given that

g(x)=8x-10

and f(x) is given by

f(x)=\sqrt{x+6}

We need to find the fog(x) i.e. f(g(x)).

So, it becomes,

f(g(x))=f(8x-10)\\\\f(g(x))=\sqrt{8x-10+6}\\\\f(g(x))=\sqrt{8x-4}\\\\f(g(x))=\sqrt{4(2x-1)}\\\\f(g(x))=2\sqrt{2x-1}

Hence, the value of f(g(x)) is 2\sqrt{2x-1}

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3(x-4)=-5 solve for x
tiny-mole [99]

Answer:

x = 7/3

Step-by-step explanation:

3(x-4)=-5

Distribute

3x - 12 = -5

Add 12 to each side

3x -12+12 = -5+12

3x = 7

Divide by 3

3x/3 = 7/3

x = 7/3

5 0
3 years ago
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Can someone help me with this question please :) <br> I’ll mark as brainliest.
zavuch27 [327]

\sqrt{84}

6 0
3 years ago
Apply the laws of exponents, calculate the result and express the result in scientific notation, and as a decimal: (8.1*10^-4)^2
AfilCa [17]
<h3>Answer:</h3>
  • the result in scientific notation is 6.561×10⁻⁷
  • the result as a decimal is 0.000 000 656 1
<h3>Explanation:</h3>

The rules of exponents say the exponent outside parentheses applies to each factor inside parentheses.

... (8.1*10^-4)^2 = 8.1^2 × (10^-4)^2

... = 65.61 × 10^-8

... = 6.561 × 10^-7 . . . . adjust to scientific notation with one digit left of the decimal point

The exponent of -7 means the decimal point in the decimal number is 7 places to the left of where it is in scientific notation. That is ...

... 6.561 × 10^-7 = 0.0000006561

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4 years ago
An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean outpu
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Answer: brother

Step-by-step explanation:

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3 years ago
Leslie decides to join a gym. She must pay a monthly fee plus a one time fee to open a membership. This situation can be modeled
omeli [17]

Step-by-step explanation:

Given function is,

y=55x+80

Where,

y = amount paid to the gym in dollars

x = number of months

So when x = 0, y =55(0)+80 = 80

i.e when number of months is 0, you have to pay a fee of $80.

This is the one time fee to open a membership.

After that for each month you have to pay $55 for each months.

So 55 is multiplied with x.

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3 years ago
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