The values of x are 2 and -1.
Solving the equation created by substitution listed in the question:
-2x+14=x²-3x+12
Add 2x to both sides:
-2x+14+2x=x²-3x+12+2x
14=x²-1x+12
Subtract 14 from both sides:
14-14=x²-1x+12-14
0=x²-1x-2
Factoring this, we want factors of -2 that sum to -1; -2(1) = -2 and -2+1=-1:
0=(x-2)(x+1)
Using the zero product property, we know that either x-2=0 or x+1=0:
x-2=0
x-2+2=0+2
x=2
x+1=0
x+1-1=0-1
x=-1
Answer:
0.5289 to the nearest thousandth is 0.529.
Step-by-step explanation: If a number is less than 5, round down, but if a number is 5 or more, round up. The digit after the thousandths place is the digit we should look at to answer the question and it is 9, so we round up from 0.528 or 0.529. So, the answer is 0.529.
Answer:
0.085
Step-by-step explanation:
1% is the same as 0.01, so 8.5% of 100 is 0.085
Answer:
Step-by-step explanation:
I’m not sure if this is super accurate, but since P is prime, the only factors it has is 1 and itself, meaning that the square root of it will be irrational
Answer:
The answer is D: the number of candies in a box.
Step-by-step explanation: