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Ghella [55]
2 years ago
12

Which of the following are solutions to the equation below?

Mathematics
1 answer:
larisa86 [58]2 years ago
5 0

Step-by-step explanation:

therefore A is the correct answer

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What composition forms the equation p(x) when given the functions for h(x), f(x), k(x), and g(x)? PLEASE HELP!!!!! thank you!!!!
Flura [38]

Answer:  Choice B.  k(h(g(f(x))))

For choice B, the functions are k, h, g, f going from left to right.

===========================================================

Explanation:

We have 4x involved, so we'll need f(x)

This 4x term is inside a cubic, so we'll need g(x) as well.

So far we have

g(x) = x^3

g( f(x) ) = ( f(x) )^3

g( f(x) ) = ( 4x )^3

Then note how we are dividing that result by 2. That's the same as applying the h(x) function

h(x) = \frac{x}{2}\\\\h(g(f(x))) = \frac{g(f(x))}{2}\\\\h(g(f(x))) = \frac{(4x)^3}{2}\\\\

And finally, we subtract 1 from this, but that's the same as using k(x)

k(x) = x-1\\\\k(h(g(f(x)))) = h(g(f(x)))-1\\\\k(h(g(f(x)))) = \frac{(4x)^3}{2}-1\\\\

This leads to the answer choice B.

To be honest, this notation is a mess considering how many function compositions are going on. It's very easy to get lost. I recommend carefully stepping through the problem and building it up in the way I've done above, or in a similar fashion. The idea is to start from the inside and work your way out. Keep in mind that PEMDAS plays a role.

6 0
3 years ago
Write 605.8 correct to the nearest 10
kvv77 [185]
Rounding to the nearest 10 means if the digit to the right of the 10s collum is 5 or more round up. if less than 5 round down.
605.8
610 is the answer as 5 is rounded up
6 0
3 years ago
Mark spins a penny 100 times and it lands head side up 41 times. Explain why Mark's experimental probability may be different fr
astra-53 [7]

Answer:

Hey there!

This is because the theoretical probability is different from the experimental probability. The theoretical probability is what is expected, but the experimental probability is what actually happens.

Hope this helps :)

4 0
3 years ago
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Answer:

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4 0
3 years ago
WILL GIVE BRAINLIEST AND 25 POINTS! Which of the following statements are true? Check all that apply. A. If any row of a square
sertanlavr [38]

Answer:

Option A, B and E

Step-by-step explanation:

Determinant = ad-bc

Let's look at the picture and solve all

<u><em>Option A)</em></u>

If the row ( c and d ) is zero, the determinant will be zero

=> a(0)-b(0)

=> 0-0

=> 0 (So, True)

<u><em>Option B) </em></u>

If a = b = c = d (Let's say 1), the determinant will be

=> (1)(1)-(1)(1)

=> 1-1

=> 0  (So, True)

<u><em>Option C)</em></u>

An Identity matrix is

=> \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]

So , it's determinant will be

=> (1)(1)-(0)(0)

=> 1-0

=> 1  (So, False)

<u><em>Option D)</em></u>

The determinant with matrix will all positive numbers can be negative as well as positive. This is not necessary that it would be positive. (So, False)

<u><em>Option E)</em></u>

A zero matrix is

=> \left[\begin{array}{ccc}0&0\\0&0\end{array}\right]

So, it's determinant is:

=> (0)(0)-(0)(0)

=> 0-0

=> 0 (So,True)

5 0
3 years ago
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