Which graph represents the system 3x + 5y ≤ 9 and 2x + y ≥ 5?

Graph 1 represents the system.

Step-by-step explanation:

The system of equations is given by,

Now, 'Zero Test' states that,

'If after substituting (0,0) in the inequalities the result is true, then the solution region is towards the origin. If the result is false, then the solution region is away from the origin'.

So, substituting (0,0), we get,

implies 0≤9, which is true.

Then, the solution region is towards the origin.

implies 0≥5, which is false.

Then, the solution region is away from the origin.

Hence, graph 1 represents the system.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05