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3 years ago

Plz, help if you are an expert at math. his lesson is called "Equations with variables on both sides" thanks

Mathematics

1 answer:

kicyunya [14]3 years ago

3 0

Answer:

solve the equation by multiplying and arranging.

Step-by-step explanation:

I didn't saw the question properly but I think it's the right question.

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Solve this..(factorise)

Snowcat [4.5K]

Answer:

The factors are: (3a+2b +ab-6)(3a+2b -ab+6)

Step-by-step explanation:

$(a^2-4)(9-b^2)+24ab$

We need to solve the above expression using factorization.

Multiplying (a^2-4)(9-b^2)

9(a^2-4)-b^2(a^2-4) + 24ab

9a^2 -36 -a^2b^2+4b^2 + 24ab

Rearranging:

9a^2 + 4b^2 +24ab -36 -a^2b^2

We try to make perfect square of the form a^2+2ab-b^2

We have 24ab that can be written as 12ab + 12ab

Now, we can arrange the above equation:

9a^2 +12ab+ 4b^2 -(a^2b^2-12ab +36)

(3a)^2 +2(3a)(2b) + (2b)^2 -((ab)^2 -2(ab)(6)+(6)^2)

The perfect square will be:

(3a+2b)^2 - (ab-6)^2

Now We know a^2 - b^2 = (a+b)(a-b)

Here a = 3a+2b , b=ab-6

So,

(3a+2b +(ab-6))(3a+2b - (ab-6))

(3a+2b +ab-6)(3a+2b -ab+6)

So, the factors are: (3a+2b +ab-6)(3a+2b -ab+6)

3 0

3 years ago

Find two conesecutive integers whose sum is 45

Afina-wow [57]

First, let's declare that the average of the two integers would be 22.5. Using this, we are going to try and find two consecutive integers that have an average of 22.5. We can start to work outward from this average and see what integers work.

Instantly, we can test the integers 22 and 23. They have an average of 22.5 and sum to 45. Thus, they are our answer.

3 0

3 years ago

Read 2 more answers

Suppose that daily calorie consumption for american men follows a normal distribution with a mean of 2760 calories and a standar

lianna [129]

Answer:

38.11% probability that the mean of her sample will be between 2700 and 2800 calories

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .