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FrozenT [24]
2 years ago
7

Which number produces an irrational number when multiplied by 2/5?

Mathematics
1 answer:
Ganezh [65]2 years ago
5 0

Answer: The correct option is (D) pie.

Step-by-step explanation:  We are to select the correct number that produces an irrational number when multiplied by pie.

We know that if one of number is a non-zero rational number, then for the product to be irrational, we must have the other number irrational.

Give number is 2/5, which is rational. So the other number must be irrational.

Out of the given options, first three numbers are rational.

Only the last number pie is irrational. Because, the digits after the decimal are non-repeating and non-terminating.

So, the product will be irrational, if the other number is pie.

Thus, the correct option is (D).

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Classify the following functions as growth or decay: f(x) = 10 (6/7)^x, g(x)= 1/3e^x, h(x)=5e^-x, k(x)= -10(6/7)^x
Strike441 [17]

It is known that any exponential function with the form f(x)=a^x is an increasing function while a function of the form g(x)=a^(-x) is a decreasing function.

Furthermore, it a function h(x) is increasing, then the function -h(x) is decreasing. By analogy, if a function k(x) is decreasing, then -k(x) is increasing.

Now let's analyze the functions from the problem.

\text{ Let }f(x)=10\cdot(\frac{6}{7})^x

Since (6/7)^x is increasing and the multiplying factor of 10 is positive, then the function <em>f(x)</em> is also increasing.

Use these rules to find whether each function is increasing or decreasing.

Remember that increasing functions are used to represent growth while decreasing functions are used to represent decay.

8 0
10 months ago
Which number is in the set of integers but is not in the set of whole numbers?
klemol [59]

Answer:

D

Step-by-step explanation:

5 and 1/2 is not a whole nubmer in this list

7 0
3 years ago
Read 2 more answers
How many ways are there to choose a committee of 7 people from a group of 10 people?
Aneli [31]
I think it's 720
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7 0
3 years ago
7(x + 4) + 5(x-6) please expand and simplify
Neporo4naja [7]

Answer:

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Step-by-step explanation:

7(x+4)+5(x−6)

Distribute:

=(7)(x) + (7)(4) + (5)(x) + (5)(−6)

=7x + 28 + 5x − 30

Combine Like Terms:

=7x + 28 + 5x − 30

=(7x+5x) + (28−30)

= 12x − 2

8 0
3 years ago
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For the functions f and g, find (f o g)(8). f(x) = 17x^2 - 10x, g(x) = 9x - 9
Andreyy89

Hey mate. Here is your answer.

Set up the composite function and evaluate.

g (17x^2 - 10x) = 153x^2 - 90x - 9

Hope this helps.

5 0
3 years ago
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