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2 years ago

What is the greatest common factor of the terms 14c to the second power D and 42 C to the third power d

Mathematics

1 answer:

irina [24]2 years ago

7 0

Answer:

Step-by-step explanation:

To find the GCF we factor all the given terms and then find the Greatest Common Factor from both ,

So , The given two terms can be given by

$14c^2d = 2.7.c.c.d\\42c^3d =2.3.7.c.c.c.d\\$

Here common numbers that are in both are

2.7.c.c.d

so GCF= $14c^2d$

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Given f(x)=x3 and g(x)= 1-5x2, fine (fog)(x) and it’s Domain

andre [41]

Answer:

Option B. $f(g(x)) = (1-5x ^ 2) ^ 3$ all real numbers

Step-by-step explanation:

We have

$f(x) = x ^ 3$ and $g(x) = 1-5x ^ 2$

They ask us to find

(fog)(x) and it's Domain

To solve this problem we must introduce the function g(x) within the function f(x)

That is, we must do f(g(x)).

So, we have:

$f(x) = x ^ 3$

$g(x) = 1-5x ^ 2$

Then:

$f(g(x)) = (1-5x ^ 2) ^ 3$

The domain of the function f(g(x)) is the range of the function $g(x) = 1-5x ^ 2$ .

Since the domain and range of g(x) are all real numbers then the domain of f(g(x)) are all real numbers

Therefore the correct answer is the option b: $f(g(x)) = (1-5x ^ 2) ^ 3$

And his domain is all real.

5 0

3 years ago

Read 2 more answers

Answers now please!

gulaghasi [49]

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4 0

3 years ago

The question is in the picture.

nordsb [41]

The first bullet is the answer

7 0

3 years ago

Which shows an equation in point-slope form of the line shown?

kramer

Answer: Option (3)

Step-by-step explanation:

The slope of the given line is

$\frac{-2-4}{-6-2}=\frac{-6}{-8}=\frac{3}{4}$

Thus, the answer must be Option (3)

4 0

2 years ago

Evaluate f(x)=x^2+1 for f(10)

marshall27 [118]

For f(10) replace x with 10 then solve:
f10) = 10^2 + 1
= 100 +1
= 101

4 0

3 years ago