Answer: b
Step-by-step explanation: 19 x 3 = 57 & 12 x 3= 36 so subtract 57 and 36 that’s going to give you 21 & 21 plus 6 is 27
Answer: It has two distinct real zeros.
Step-by-step explanation:
The formula that is used to calculate the discriminant of a Quadratic function is the one shown below:

In this case you have the following Quadractic function provided in the exercise:

Let's make it equal to 0:

You can identify that:

Knowing these values, you can substitute them into the formula and then evaluate:

Therefore, since:

You can determine that the it has two distinct real roots.
Answer:
The answer is 27
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(3y+6+3)=196−16
(2)(3y)+(2)(6)+(2)(3)=196+−16(Distribute)
6y+12+6=196+−16
(6y)+(12+6)=(196+−16)(Combine Like Terms)
6y+18=180
6y+18=180
Step 2: Subtract 18 from both sides.
6y+18−18=180−18
6y=162
Step 3: Divide both sides by 6.
6y
/6
=
162
/6
y=27
Answer:
Solution set = {-12, 12}
Step-by-step explanation:
Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:

Now we consider the two possible cases:
1) The expression inside the absolute value symbol is a positive number, then :

and replacing it in the equation, this becomes:

which is our first answer.
2) The expression inside the absolute value symbol is a negative number, then :

and replacing it in the equation, this becomes:

which is our second possible answer.
Then the set of solutions is: {-12, 12}
Answer:
Step-by-step explanation:
x0.130000000400