Which equation is represented by the intersection of the graphs below?

Mathematics

2 answers:

Pavel [41]3 years ago

6 0

The red curve is y = tan x

The blue line is y = 1

Therefore your answer is tan x = 1

<h3>Answer: A</h3>

Ad libitum [116K]3 years ago

4 0

Answer: The answer is (A) tan x = 1.

Step-by-step explanation: We are given to select the correct equation from the options that is represented by the intersection of the graphs shown in the figure.

We can see in the graph that the red graph shows the function (1) as follows:

$y=\tan x,$

and the blue graph shows the following function (2):

$y=1.$

Therefore, the intersection of the graphs (1) and (2) will be

$\tan x =1.$

Thus, (A) is the correct option.

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Sqrt(32x^3) - sqrt(16x^3) + root(4,x^3) -sqrt(2x^3)

almond37 [142]

An expression is defined as a set of numbers, variables, and mathematical operations. The simplified version of the given expression is (3√2-2)√x³.

<h3>What is an Expression?</h3>

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The given expression $\sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3}$ can be simplified as shown below.

$\sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3}\\\\=\sqrt{x^3}(\sqrt{32}-\sqrt{16}+\sqrt{4}-\sqrt{2}})\\\\= \sqrt{x^3} (4\sqrt{2}-4+2-\sqrt2)\\\\= \sqrt{x^3} (3\sqrt{2}-2)$