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:
3x - 2.
Step-by-step explanation:
The length = area / width.
The area 3x^2 + 7x - 6 = (3x - 2 )(x + 3)
so the length = (3x - 2 )(x + 3 ) / x + 3
= 3x - 2.
Answer:
$12.40
Step-by-step explanation:
You can set this up as .20 x 62 which will give you $12.4 or $12.40. You get .20 by converting 20% to a decimal. Also you can simply put 60-20% on a calculator.
Answer: -920
Step-by-step explanation:
-447 - 473 = -920
In this case, smaller means more negative
The property that is shown is called the zero property.