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3 years ago

Factor this expression completely 9a 4 - b 2

Mathematics

2 answers:

zepelin [54]3 years ago

5 0

9a^4 - b^2
(3a^2)^2 - (b)^2
Difference of squares
(3a^2 - b)(3a^2 + b)

notka56 [123]3 years ago

3 0

(3a2 + b) • (3a2 - b) would be ur answer x

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Will give brainliest if correct.

suter [353]

┐( ∵ )┌

I think it's 4x? I'm not up to that level of math yet.

6 0

3 years ago

A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?

seraphim [82]

Answer:

$P\left(E\right)=\frac{55}{1024}$

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

$nCr=\frac{n!}{r!\left(n-r\right)!}$

Plug in n = 12 and r = 9

$=\frac{12!}{9!\left(12-9\right)!}$

$=\frac{12!}{9!\cdot \:3!}$

$=\frac{12\cdot \:11\cdot \:10}{3!}$ ∵ $\frac{12!}{9!}=12\cdot \:11\cdot \:10$

$=\frac{1320}{6}$ ∵ $3!\:=\:3\times 2\times 1=6$

$=220$

Thus, the probability will be:

$P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}$

$=\frac{220}{4096}$

$=\frac{55}{1024}$

Thus, the probability of the coin landing tails up exactly nine times will be:

$P\left(E\right)=\frac{55}{1024}$

4 0

3 years ago

How many solutions does the following system of equations have? {4x + 6y = 24 2x + 3y = 12

Mila [183]

Answer:

Infinitely many solutions

Step-by-step explanation:

Note that 2(2x+3y=12) is 4x+6y=24, which is the first equation. Therefore, by canceling the equations out, you have 0=0, which means whatever one side equals, the other side ALWAYS equals that.

5 0

3 years ago

Yasmin had 3 bananas she shared them equally among the 4 people in her family write an expression that shows how much banana eac

Lera25 [3.4K]

Answer:

3/4 of a banana

Step-by-step explanation:

3 divided by 4 = 3/4

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3 years ago

A ball is kicked straight up into the air from a height of 48ft with an initial velocity of 88 ft/s. After how many seconds does

AlladinOne [14]

Answer:

Step-by-step explanation:

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3 years ago