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3 years ago

Which classification best describes the following system of equations?

Mathematics

2 answers:

Luda [366]3 years ago

5 0

its d.........................................................

AlladinOne [14]3 years ago

4 0

Inconsistent system of equation consists of equations whose graphs do not intersect (they are parallel lines) and there is no solution.
Dependent system of equations consists of equations that are same (their graph is the same) but written in different form.
Let us analyze the equations:
5x+<span>10y+15z=60 (1)
</span>2x+4y+6z=60 (2)
<span>x+2y+3z=60 (3)
We can divide the first one by 5 </span><span>to obtain the same left side as in equation (3), and to see if they are dependent:
x+2y+3z=12
</span>which is not the same as <span>x+2y+3z=60.
</span>They are not dependent (they are independent).<span>

We can divide the second one by 2 to obtain the same left side as in equation (3), and to see if they are dependent:
</span><span>x+2y+3z=30 (2) divided by 2
which is not the same as </span><span>x+2y+3z=60. They are not dependent (they are independent).

The graphs of the three functions are parallel so, they are inconsistent.
Solution: inconsistent and independent

</span>

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Solve the following equation |x – 3| = 4. Show all work.

Igoryamba

<h2>Solving Equations with Absolute Values</h2><h3>Answer:</h3>

$x = 7$ and $x = -1$

<h3>Step-by-step explanation:</h3>

Solving for the Positive Absolute Value:

$|x -3| = 4 \\ x -3 = 4 \\ x -3 +3 = 4 +3 \\ x = 7$

Solving for the Negative Absolute Value:

$|x -3| = 4 \\ -(x -3) = 4 \\ -(x -3) \cdot -1 = 4 \cdot -1 \\ x -3 = -4 \\ x -3 +3 = -4 +3 \\ x = -1$

8 0

2 years ago

Read 2 more answers

Please help!<br> Subtract h + 3 from 6h + 1.

cricket20 [7]

6h+1-h+3
=5h+4
because 6h-1h is 5h and 1+3 is 4

4 0

2 years ago

How to find the square root of 56 without using a calculator

Olegator [25]

There an old algorythmic method similar to long division:-

7 . 4 8 3
-----------------
) 56. 00 00 00
7 ) 49
  ) ---
   144 ) 7 00
) 576
----
148 8 ) 12400
) 11904
-------
) 496 00
1496 3 ) 44889

THis gives the square root as 7.48 to the nearest hundredth

7 0

2 years ago

Read 2 more answers

A swimming pool at a park measures 9.75 meters by 7.2 meters.

neonofarm [45]

Answer:

Part a) The area of the swimming pool is $70.2\ m^2$

Part b) The total area of the swimming pool and the playground is $105.3\ m^2$

Step-by-step explanation:

Part a) Find the area of the swimming pool

we know that

The area of the swimming pool is

$A=LW$

where

L is the length side

W is the width side

we have

$L=9.75\ m\\W=7.2\ m$

substitute the values

$A=(9.75)(7.2)$

$A=70.2\ m^2$

therefore

The area of the swimming pool is $70.2\ m^2$

Part b) The area of the playground is one and a half times that of the swimming pool. Find the total area of the swimming pool and the playground

we know that

To obtain the area of the playground multiply the area of the swimming pool by one and a half

$\frac{1}{2}(70.2)=35.1\ m^2$

To obtain the total area of the swimming pool and the playground, adds the area of the swimming pool and the area of the playground

$70.2\ m^2+35.1\ m^2=105.3\ m^2$

therefore

The total area of the swimming pool and the playground is $105.3\ m^2$

6 0

2 years ago

The cost of 24 bottles of water is $6. Which expression shows how to find the cost of 10 bottles of water?

yaroslaw [1]

So first you need to find out how much one water bottle cost.
6/24= 0.25
Okay now you need to find how much it would cost for 10.
so you would times 10 by $0.25:
10*0.25= $2.50
So $2.50 would be you answer.
Hope that helps!!
Have a wonderful day!!

4 0

2 years ago