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2 years ago

A3-9a2b + ab - 9b2 Can someone help please

Mathematics

1 answer:

Murrr4er [49]2 years ago

7 0

Answer:

(a−9b)(a2+b)

Step-by-step explanation:

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Two unique letters are chosen at random from the alphabet.

ElenaW [278]

A - choosing letter A first

$|\Omega|=P(26,2)=\dfrac{26!}{24!}=25\cdot26\\
|A|=1\cdot25=25\\\\
P(A)=\dfrac{25}{25\cdot26}=\dfrac{1}{26}\approx0.0385$

7 0

2 years ago

Read 2 more answers

Find all the zeros of the equation 12x^2-64=-x^4

Natalija [7]

Answer: all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

Step-by-step explanation:

Since we have given that

$12x^2-64=-x^4\\\\x^4+12x^2-64=0$

We need to find the zeroes of the above equation.

So, we will use "Split the middle terms" :

$x^4+12x^2-64=0\\\\x^4+16x^2-4x^2-64=0\\\\x^2(x^2-16)-4(x^2-16)=0\\\\(x^2-4)(x^2-16)=0\\\\x^2-4=0\ or\ x^2-16=0\\\\\text{ "Using }a^2-b^2=(a+b)(a-b)"\\\\x^2-4=x^2-2^2=(x-2)(x+2)\\\\x^2-16=x^2-4^2=(x+4)(x-4)$

So, all the zeroes of the above equation will be

(x-4)(x+4)(x-2)(x+2)

7 0

2 years ago

For what value of θ, in degrees, is sin θ = cos 58°?

AlexFokin [52]

Answer: 32

Step-by-step explanation:

1. cos of 58 deg= 0.529919264

2. sin^-1 (0.529919264)= 31.999... = 32

5 0

2 years ago

A multiple choice question has 18 possible answers, only one of which is correct. Is it "significant" to answer a question cor

yan [13]

Answer:

It is not ''significant''

Step-by-step explanation:

Let's call the event

A : ''Answer a question correctly if a random guess is made''

Now we calculate the probability for the event A

$P(A)=\frac{cases where A occurs}{total cases}$

In the exercise A occurs in only one way and the total cases are the number of possible answers

$Total cases = 18$

$P(A)=\frac{1}{18} =0.0555555$

An event B is ''significant'' if $P(B)\leq 0.05$

$P(A)=0.0555555$

⇒A it is not a ''significant'' event

8 0

2 years ago

A dealer paid $10,000 for a boat at an auction. At the dealership, a salesperson sold the boat for 30% more than the auction pri

pickupchik [31]

<span>Given situation:
=> A deadler paid $10 000 for a boat at an auction.
=> At the dealership, a sales person sold the boat for 30% more than the auction price
=> 10 000 dollars + 30%
=> Then the salesperson received a commission of 25% of the difference between the auction price and the dealership price
=> 10 000 + 25%
Let’s find the solution
=> 10 000 x .30 = 3000
=> 10 000 + 3 000 = 13 000, he sell it for this price
=> then he received a commission
=> 13 000 – 3 000 = 10 000
=> 10 000 x .25
=> 2500 , his commission </span>

7 0

2 years ago