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3 years ago

Which of the following statements is not true?

Mathematics

1 answer:

Yuki888 [10]3 years ago

4 0

I'm positive its D but I'm for sure it is not B

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Novay_Z [31]

Answer: $3+\sqrt{2}$

Step-by-step explanation:

Given the following expression shown in the picture:

$\frac{7}{3-\sqrt{2} }$

You need to use a process called "Ratinalization".

By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.

Then, in order to simplify the expression, you can follow the following steps:

Step 1. You need to multiply the numerator and the denominator of the fraction by $3+\sqrt{2}$ , which is the conjugate of the denominator $3-\sqrt{2}$ .

Step 2. Then you must apply the Distributive property in the numerator.

Step 3. You must apply the following property in the denominator: $(a+b)(a-b) = a^2 - b^2$

Therefore, applying the procedure shown above, you get:

$=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}$

Step 4. You can observe that the expression can be simplified even more. Since:

$\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}$

You get:

$\frac{21+7\sqrt{2}}{7}=\frac{21}{7}+\frac{7\sqrt{2}}{7}=3+\sqrt{2}$

3 0

3 years ago

Tan's electricity bill for the month of August was $267.00. His September bill showed a 2% increase from his August bill. In Oct

vovikov84 [41]

267 x 0.02 = 5.34
267 + 5.34 = 272.34

267 x 0.08 = 21.36
267 - 21.36 = 245.64

267 + 272.34 + 245.64 = $784.98

7 0

3 years ago

A minor-league hockey team had the following scores for the start of the season: 3, 6, 2, 1, 2, 3, 0, 4, 5, 1, 5, 4.

ale4655 [162]

If the hockey team scores 9 goals in their next game, it means that; the mean would be the most affected.

<h3>How to find mean, median and mode?</h3>

We are given the data set as;

3, 6, 2, 1, 2, 3, 0, 4, 5, 1, 5, 4.

Let us rearrange in ascending order to get;

0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6.

The mean = (0 + 1 + 1 + 2 + 2 + 3 + 3 + 4 + 4 + 5 + 5 + 6)/12 = 3

Median = (3 + 3)/2 = 3

Mode = 1, 2, 3, 3, 5

Now, if they score 9 goals in their next game, it means that;

Mean = 45/13 = 3.46

Median = 3

Mode remains the same

Thus, mean will be the most affected.

Read more about Mean, Median and Mode at; brainly.com/question/14532771

#SPJ1

4 0

2 years ago

What does 9/5 equals to ?

goldenfox [79]

Answer:

9/5 = 1.8

All you have to do is divide the numerator by the denominator.

Hope this helps!

-Mikayla

8 0

3 years ago

Read 2 more answers

Write the equation of the line that is parallel to the line 4x − 3y = −12 and passes through the point (−3, 4).

Jobisdone [24]

The answer is
y = four thirdsx + 8

3 0

3 years ago