Essentially, we are trying to find the missing constant term of $(x - a)^2$ (remember that we are subtracting $a$ due to the negative sign in front of the second term). Let's expand this to see what we can work with:

$(x - a)^2$

Set up

$x^2 - ax - ax + a^2 = x^2 - 2ax + a^2$

FOIL and simplify

Now, we know the second term is $12x$ , so let's set the second term in the polynomial we just found equal to $12x$ :

$2ax = 12x$

Set up

$2a = 12$

Divide both sides of the equation by $x$

$a = 6$

Divide both sides of the equation by 2

We have found $a = 6$ . We know the missing constant term is $a^2$ , according to the polynomial we found earlier. Thus, the missing term is:

$a^2 \Rightarrow 6^2 = 36$

The missing constant term is 36.

4 0

3 years ago

A state lottery randomly chooses 7 balls numbered from 1 through 45 without replacement. You choose 7 numbers and purchase a lot

Firdavs [7]

Answer:

Answer is D - No, because the probability of success is different for each trial.

Step-by-step explanation:

As given-

A state lottery randomly chooses 7 balls numbered from 1 through 45 without replacement.

You choose 7 numbers and purchase a lottery ticket.

Determine whether this experiment is binomial.

Answer is D - No, because the probability of success is different for each trial.

5 0

4 years ago