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Ratling [72]
3 years ago
13

What is the factorization of the expression below?

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
5 0

Answer:

Well factorizing 16x^2-49

You can use the difference of squares

Which is when theirs 2 perfect sqaures and it’s a subtraction problem.

So 16x^2 - 49

the formula is

a^2-b^2= (a+b) (a-b)

16x^2 - 7^2 = (a+b) (a-b)

SO plug it in

(4x+7) (4x-7)

Thats simplified to the max

So your answer would be (c)

sesenic [268]3 years ago
4 0

16x² - 49

= (4x)² - 7²

Identity =》 a² - b² = (a + b) (a - b)

(4x)² - 7²

= (4x + 7) (4x - 7) [3rd option]

_______

Hope it helps ⚜

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Answer:

B. Side <em>a</em> is 7 inches long and side <em>b</em> is 6 inches long.

Step-by-step explanation:

Since the scale drawing is three times bigger than the actual object, divide both numbers by three to find the object size.

Side a:

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Side b:

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Add an intersection the red light times normally distributed by the mean of three minutes and a standard deviation of .25 minute
Soloha48 [4]

95% of red lights last between 2.5 and 3.5 minutes.

<u>Step-by-step explanation:</u>

In this case,

  • The mean M is 3 and
  • The standard deviation SD is given as 0.25

Assume the bell shaped graph of normal distribution,

The center of the graph is mean which is 3 minutes.

We move one space to the right side of mean ⇒ M + SD

⇒ 3+0.25 = 3.25 minutes.

Again we move one more space to the right of mean ⇒ M + 2SD

⇒ 3 + (0.25×2) = 3.5 minutes.

Similarly,

Move one space to the left side of mean ⇒ M - SD

⇒ 3-0.25 = 2.75 minutes.

Again we move one more space to the left of mean ⇒ M - 2SD

⇒ 3 - (0.25×2) =2.5 minutes.

The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.

Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)

Therefore, the percent of  red lights that last between 2.5 and 3.5 minutes is 95%

8 0
4 years ago
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