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2 years ago

Find the product of (4x + 3y)(4x − 3y).

Mathematics

2 answers:

EastWind [94]2 years ago

5 0

Answer:

It's B

Step-by-step explanation:

B, 16x2-9y2

USPshnik [31]2 years ago

3 0

Answer: The correct option is (B) $16x^2-9y^2.$

Step-by-step explanation: We are given to find the following product :

$P=(4x+3y)(4x-3y)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the given product, we will be using the following formula :

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

The product (i) can be calculated as follows :

$P\\\\=(4x+3y)(4x-3y)\\\\=(4x)^2-(3y)^2\\\\=16x^2-9y^2.$

Thus, the required product is $16x^2-9y^2.$

Option (B) is CORRECT.

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Gala2k [10]

Since the parabola passes by the center its equation is:

y = ax². But it opens downward, that means the coefficient a is negative.

Then the equation becomes:

y = - ax², with x = 0 as its axis of symmetry.

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That means to the (height) y, corresponds x =+21 & x=-21 (due to symmetry).
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2 years ago

Suppose we have a group of 10 light users and 10 heavy users. what is the probability that exactly 3 of the 20 users are hiv pos

dmitriy555 [2]

Answer: The answer is 30%.

Step-by-step explanation: Given that there is a group of 10 light users and 10 heavy users. We are to find the probability that exactly 3 of the 20 users are HIV positive.

We have the following four possible cases -

(i) All 3 are light users.

(ii) 1 is a light user and 2 are heavy users.

(iii) 2 are light users and 1 is a heavy user.

(iv) All 3 are heavy user.

Since there is a 45% chance of a light user to be HIV positive and 55% chance of a heavy user to be HIV positive, so the required probability is given by

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2 years ago

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Answer:

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Step-by-step explanation:

This is a binomial probability distribution problem.

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Thus;

P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02

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