Answer:
(1, 4)
Step-by-step explanation:
y=x+3
y=3x+1
y=x+3
x+3=3x+1
x=3x-2
-2x=-2
x=1
y=1+3
y=4
 
        
             
        
        
        
For this case, the first thing we must do is define variables.
 We have then:
 x: number of pens
 y: number of pencils
 We now write the system of inequations: 

 The solution to the system of inequations is given by the shaded region.
 Note: see attached image.
 
        
        
        
Answer:
When the volume of a gas in a container varies inversely with the pressure on the gas and a container of nitrogen has a volume of 29.5 litres with 2000 psi. So, if the tank has a 14.7 psi pressure, then the volume of the tank would be 4013.6 litres.
Step-by-step explanation:
- The volume of a gas in a container varies inversely with the pressure on the gas. If a container of nitrogen has a volume of  litres with  psi, what is the volume if the tank has a  psi pressure.
- Calculate the volume to the nearest whole number.
- Use the given values and calculate the proportionality constant as well as required solution.
Step 1 of 2
Write the inversely proportionality relation between the volume and pressure of a gas in container.

Where volume is represented by v and pressure is represented by p.
Remove the proportionality and place a constant say k.

Substitute the given values of nitrogen that v=29.5 and
p=2000 and calculate the value of k from above equation.

Step 2 of 2
Substitute the value p=14.7 and above calculated k value in the equation

 
        
             
        
        
        
171.76 ÷ 555 = 0.3094774775
        
             
        
        
        
Answer:
a
Step-by-step explanation:
a=-4 r=12/-4=-3
T7= ar^n-1
 = (-4)(-3)^7-1
 =-2916