Step 1: Simplify both sides of the equation.
Step 2: Subtract 6x from both sides.
- 65x²+390x+585−6x=6x−6x
- 65x²+384x+585=0
For this equation: a=65, b=384, c=585
Step 3: Use quadratic formula with a=65, b=384, c=585
- x=−b±√b2−4ac/2a
- x=−(384)±√(384)2−4(65)(585)/
- 2(65)
- x=−384±√−4644/130
Therefore, There are no real solutions.
Answer: (a) x + 2y = -1 and 3x + y = 1
<u>Step-by-step explanation:</u>
I am not sure what the purpose was for the colored lines but I included them on the graph (below).
Answer:
x 
9
Step-by-step explanation: i took a quiz with this on it
Set up the equation:
x=(3x-70)
0=2x-70
2x=70
x=35
Now to find LMN we plug it back in:
3(35)-70=35
Final answer: 35 degrees
:)
Answer: The ratio of regular sodas sold to diet sodas sold is 9:7
Step-by-step explanation:
The restaurant offers diet soda and regular soda.
In one day they sold a total of 64 sodas. If 28 of the sodas they sold were diet sodas, the rest would be regular sodas. Therefore, the number of regular sodas sold will be 64 - 28 = 36 regular sodas. The ratio of regular sodas sold to diet sodas sold would be the number of regular sodas sold divided by the number of diet sodas sold. It becomes
36/28 = 18/14 = 9/7
