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allsm [11]
2 years ago
13

Due tomarrow please help!!!!!!!!!!!!!!!!!!!!!!!!!  Identify the independent and dependent variables in the following statement.

The more water flowing into the pool, the greater the water depth is in the pool. A. The independent variable is the depth of water in the pool, and the dependent variable is the rate that water is flowing into the pool. B. The independent variable is the rate that water is flowing into the pool, and the dependent variable is the depth of water in the pool.
Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
6 0
The independent variable is the variable that is being changed. In this statement, it would be water flowing flowing in the pool. The dependent variable is what is being changed so that would be the depth of the water.

There, I hope this helps! :)

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Question 14 of 25What is the complete factorization of the polynomial below?x³+x² + 4x+4O A. (x-1)(x+2)(x+2)B. (x + 1)(x + 2)(x
mote1985 [20]

GIVEN:

We are given the following polynomial;

x^3+x^2+4x+4

Required;

We are required to factorize this polynomial completely.

Step-by-step explanation;

To factorize this polynomial, we start by grouping;

(x^3+x^2)+(4x+4)

We now take the common factor in each group;

\begin{gathered} x^2(x+1)+4(x+1) \\  \\ (x^2+4)(x+1) \end{gathered}

Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;

\begin{gathered} x^2+4=0 \\  \\ Subtract\text{ }4\text{ }from\text{ }both\text{ }sides: \\  \\ x^2=-4 \\  \\ Take\text{ }the\text{ }square\text{ }root\text{ }of\text{ }both\text{ }sides: \\  \\ x=\pm\sqrt{-4} \\  \\ x=(\pm\sqrt{-1}\times\sqrt{4}) \\  \\ x=\pm2i \end{gathered}

Therefore, the factors of the other parenthesis are;

(x+2i)(x-2i)

Therefore, the complete factorization of the polynomial is;

ANSWER:

(x+1)(x+2i)(x-2i)

Option C is the correct answer.

4 0
1 year ago
Choose all of the zeroes of f(x).
Korolek [52]

Answer:

yes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
-7,-3,1,5,9
Serggg [28]

-7 + 4(n-1).  Use this and plug in 10 for n, making it

-7 + 4(9)

-7+36

29

5 0
2 years ago
Please help!
larisa [96]
Answer: 
Choice A
1/17; no, they are dependent events

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

Explanation:

There are 13 spades and 52 cards total. So 13/52 = 1/4 is the probability of drawing one spade

If we do not replace the card we pull out, then the probability of another spade is 12/51 since there are 12 spades left out of 51 total. 

Multiply the fractions 1/4 and 12/51 to get
(1/4)*(12/51) = (1*12)/(4*51) = 12/204 = 1/17

The two events are not independent because the second event (pulling out a second spade) depends entirely on what happens in the first event (pulling out a first spade). The fact that the probability is altered indicates we have dependent events.

6 0
3 years ago
What is the greatest common factor of the terms of the polynomial below? 8x^4 - 12x^3 + 20x^2
Daniel [21]

Answer: I think the greatest common factor is 4x^2

Step-by-step explanation:

Find the numerical common factors. Which are 8, -12, and 20. Find the variable common factors for x^4, x^3, and x^2. Multiply them together. Then break down the factors on both sides and pick the biggest one. Finally multiply them together. (I’m sorry, I’m very bad at explaining things.)

7 0
2 years ago
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