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3 years ago

Factor the polynomial 12y squared - 27. The answer is 3(2y-3). Plz help what are the steps to get the answer.

1 answer:

5 0

12y^2 - 27 =
3(4y^2 - 9) =

Now inside the parentheses is the sum of 2 squares so we factor

3 (2y + 3)(2y - 3)

That is as far as we can factor it.

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PLZ HELP! Use technology or a z-score table to answer the question.

Rashid [163]

Answer:

the answer would be A, or 5.3%

Step-by-step explanation:

you start by finding the z-score of 200, so 200-144.05 = 55.95/34.52 = 1.62 (rounded to the nearest ) Then you use a z-score table to find the probability that a customer will spend less than 200 dollars and subtract the decimal probability from one. then you convert the decimal probability to a percent and get 5.3%.

7 0

3 years ago

Infinite over E n=1 4(0.5)^n-1

yan [13]

Answer:

S = 8

Step-by-step explanation:

An infinite geometric series is defined as limit of partial sum of geometric sequences. Therefore, to find the infinite sum, we have to find the partial sum first then input limit approaches infinity.

However, fortunately, the infinite geometric series has already set up for you. It’s got the formula for itself which is:

$\displaystyle \large{\lim_{n\to \infty} S_n = \dfrac{a_1}{1-r}}$

We can also write in summation notation rather S-term as:

$\displaystyle \large{\sum_{n=1}^\infty a_1r^{n-1} = \dfrac{a_1}{1-r}}$

Keep in mind that these only work for when |r| < 1 or else it will diverge.

Also, how fortunately, the given summation fits the formula pattern so we do not have to do anything but simply apply the formula in.

$\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{1-0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = \dfrac{4}{0.5}}\\\\\displaystyle \large{\sum_{n=1}^\infty 4(0.5)^{n-1} = 8}$

Therefore, the sum will converge to 8.

Please let me know if you have any questions!

6 0

2 years ago

In the diagram below, BD is parallel to XY. What is the value of x?

Andrew [12]

Since the diagram represents parallel lines cut by a transversal line, the angles formed by these lines follow a series of rules. One of them is that corresponding angles are equal. Corresponding angles can be identified because they are located in the same position on different "crosses" formed by lines. In this case, angle x and the angle labeled 83° are corresponding angles and are therefore equal. We then know that angle x is 83° so choice B is correct.

I hope this helps.

6 0

3 years ago

Rodney can wash 24 windows in an hour how many windows can he wash in 1/8 of an hour

Viktor [21]

Answer:

Step-by-step explanation:

24x (1/8) = 3

hope this helps

3 0

3 years ago

The answers on how I do these problems the correct way

dimulka [17.4K]

Step-by-step explanation:

so what you need to do is answer the questions with () and then do the other part

8 0

4 years ago