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4 years ago

Susie said the relation above is also a function. Explain why Susie is correct or incorrect

Mathematics

1 answer:

astra-53 [7]4 years ago

5 0

Correct because X doesn't repeat its self

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Radical functions. please help me!

Sphinxa [80]

These are 8 questions and 8 answers:

1) Quesion 1:

9+√2
---------
4 - √7

Answer: the third option:

36 + 9√7 + 4√2 + √14
-----------------------------
9

Explanation:

Multiply both numerator and denominator by the conjugate of the denominator.

The conjugate of 4 - √7 = 4 + √7

=>

$\frac{9+ \sqrt{2} }{4- \sqrt{7} } . \frac{4+ \sqrt{7} }{4+ \sqrt{7} } = \frac{(9)(4)+9 \sqrt{7}+4 \sqrt{2} + \sqrt{2} . \sqrt{7} }{(4)^2-( \sqrt{7})^2 } =$

$= \frac{36+9 \sqrt{7} +4 \sqrt{2} + \sqrt{14} }{16-7}$

2) Question 2: sum

$5x (\sqrt[3]{x^2y})+2( \sqrt[3]{x^5y})$

Answer: fourth option

$7x( \sqrt[3]{x^2y} )$

Explanation:

Take x^5 out of the second radical which will result in a like term of the first radical:

$5x( \sqrt[3]{x^2y} )+2( \sqrt[3]{x^5y}) =5x( \sqrt[3]{x^2y} )+2x( \sqrt[3]{x^2y})=7x( \sqrt[3]{x^2y})$

which is the fourth option

3) Question 3. Which expression is equivalent to:

$\frac{ \sqrt{10} }{ \sqrt[4]{8} }$

Answer: the first option

Explanation

$\frac{ \sqrt{10} }{ \sqrt[4]{8} } = \frac{ \sqrt[4]{10^2} }{ \sqrt[4]{8} } = \frac{ \sqrt[4]{100} }{ \sqrt[4]{8} } . \frac{ \sqrt[4]{8^3} }{ \sqrt[4]{8^3} } = \frac{ \sqrt[4]{(100)(512)} }{8} = \frac{ \sqrt[4]{51200} }{8} = \frac{4 \sqrt[4]{200} }{8} = \frac{ \sqrt[4]{200} }{2}$

4) Question 4 What is the simplest form?

Answer: the second option

Explanation:

$\sqrt[4]{81x^8y^5}=x^2 y\sqrt[4]{3^4y} =3x^2y \sqrt[4]{y}$

5) Question 5 Product

Answer: the fourth option:

$104x^4+16x^4 \sqrt{30} [/tex]\\Explanation:\\Use the square of a binomial product: (a + b)^2 = a^2 + 2ab + b^2\\[tex](4x \sqrt{5x^2} )^2+2(4x \sqrt{5x^2})(2x^2 \sqrt{6}) +(2x^2 \sqrt{6} )^2=$

$=16x^2(5x^2)+16x^4( \sqrt{30} )+4x^4(6)=80x^4+16x^4 \sqrt{30} +24x^4=$

$=104x^4+16x^4 \sqrt{30}$

which is the fourth option.

6) Question 6 Product

Answer: fourth option

Explanation:

$\sqrt[3]{16x^7} . \sqrt[3]{12x^9} = \sqrt[3]{2^4.2^2.3x^7x^9} = \sqrt[3]{2^6.3.x^{16}}=2^2 x^5 \sqrt[3]{3x} =4 x^5\sqrt[3]{3x}$

which is the fourth option.

7) Question 7. Simplified form of 2√18 + 3√2 + √162

Answer: 18√2

Explanation:

$2 \sqrt{18}+3 \sqrt{2} + \sqrt{162}=2(3) \sqrt{2} + 3 \sqrt{2} +9 \sqrt{2} =18 \sqrt{2}$

which is the second option.

8) Question 8 which function is undefined for x = 0.

Answer: second option y = √ (x - 2)

Explanation.

The square root function is not defined for negative values.

When x = 0, x - 2 = -2, whose square root is not defined.

Therefore, the square root of x - 2 is not defined for x = 0.

5 0

4 years ago

Will give BRAINLIEST if right!

DiKsa [7]

To convert a number from scientific notation to standard form, consider 1.5625 x 10^4. First, focus on the exponential number, which is 10^4. Multiply the base number, which is 10, by itself the number of times indicated by the exponent, which is four. You would do that like this:

10 x 10 x 10 x 10 = 10, 000

Plug the product -- which is 10,000 -- into the original equation to get this:

1.5625 x 10,000 = 15, 625

Therefore, the standard form of this number is 15,625.

For a number in expanded form, convert the number, using basic addition. For example, consider the expanded number 10,000 + 2000 + 100 + 10 + 9. Add up these numbers to get the standard form. Your equation would look like this:

10,000 + 2,000 + 100 + 10 + 9 = 12,119

Therefore, the standard form of the number is 12,119.

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3 years ago

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Can someone help me with this? ;^;

zavuch27 [327]

Answer:

The mode would be 10

Step-by-step explanation:

Because it is there more than the others

hope this helps! =D

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3 years ago

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Okay random but if you think Michael Jackson and Bruno Mars are good singers and dancers. Plz respond just curious???

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Answer:

yeah

Step-by-step explanation:

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Use the graph below to fill in the blank with the correct number:

n200080 [17]

Can you attach the graph?

But what you have to do is do find -2 on your graph and see the point there. Since f(-2) needs to have -2 in the x of the point, the (-3,0) and (1,0) dont matter. So check your graph for the points (-2, 2) and (-2, 1). Whatever point on your graph matches, then thats the answer

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4 years ago