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Ainat [17]
3 years ago
6

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

he 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:
miskamm [114]3 years ago
8 0
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.

I believe this would be the case due to the fact that we are not in control of the flow yet the flow impacts the depth. So flow would be independent while the pool depth would be dependent on the rate of flow.
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3 PART QUESTION!
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Answer:

See below

Step-by-step explanation:

<u>Given relationship:</u>

  • d = rt

a) r = 3, d = 4

  • t = d/r = 4/3 h = 1 h 20 min

b) d = 4 miles, rate = r

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c) d = 4 miles, time = t

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What is the solution for the system of equations?
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4 0
3 years ago
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A system of linear equations is shown below, where A and B are real numbers. 3x + 4y = A Bx – 6y = 15 What values could A and B
eduard

<u>ANSWER</u>

The equation has no solution if

A=6 and B=-4.5.


<u>EXPLANATION</u>

The first equation is


3x+4y=A--(1)


and the second equation is

Bx-6y=15--(2)


We try solving this equation for B using the <em>method of elimination.</em>


We multiply equation (2) by 3 to obtain;


3Bx-18y=45--(3)


We also multiply equation (1) by B to obtain;


3Bx+4By=AB---(4)


We now subtract equation (3) from  equation (4).


This will give us;

4By+18y=AB-45


We factor y on the right hand side to get;


(4B+18)y=AB-45


We solve for y to obtain;


y=\frac{AB-45}{4B+18}

The above equation is defined for all real values except

4B+18=0


This implies that

B=-\frac{18}{4}


B=-4.5


Remember that the system will have no solution if and only if the denominator is zero and the numerator is not equal to zero.


This means that,

AB-45\ne 0


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When we substitute B=-4.5, then we will have


-4.5A\ne 45


\Rightarrow A\ne -\frac{45}{4.5}


\Rightarrow A\ne -10


Hence the correct answer is option A


<em>Note however that if both the numerator and denominator equal zero, then the system has infinitely many solutions.</em>






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