Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:
8x-10 = x^2+12x+30
Group all terms together on the right side. To do this, add -8x+10 to both sides. Then 0 = x^2 +4x +40. You must now solve this quadratic equation for x, if possible. I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.
If you have a graphing calculator, please graph 8x-10 and x^2+12x+30 on the same screen. You will see two separate graphs that do NOT intersect. This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
Answer:
7 mugs
Step-by-step explanation:
Assuming bowls equal same amt of clay as a mug.
3.5 pounds of clay
3.5/0.5 = 7 mugs
To put together or pair something...
Well, we need to divide $36.25 by 12.5. This will give us the per gallon price. So 36.25/12.5=2.90.
So regular gasoline is $2.90 a gallon
So, now we know this, if we add 14¢ to 2.90, we get $3.04. Now, we multiply 3.04 by 12.5=38. So, 12 and a half gallons of premium gas costs $38
