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3 years ago

What are all the real zeroes of y = (x –12)^3 – 7

Mathematics

2 answers:

kodGreya [7K]3 years ago

8 0

y = (x –12)^3 – 7

set y=0

0 = (x –12)^3 – 7

add 7 to each side

7 = (x –12)^3

take the cube root of each side

7^ 1/3 = x-12

add 12 to each side

12 + 7^(1/3) = x

this is the only real root

the other 2 are imaginary

Delvig [45]3 years ago

3 0

You might be right.

Let y = 0

(x - 12)^3 - 7 = 0 Subtract 7 from both sides

(x - 12)^3 = 7 Take the cube root of both sides.

x - 12 = cuberoot(7) Add 12 to both sides

x = 12 + cuberoot(7)

Are the other two real or imaginary? The quickest way to find out the answer is to graph the original equation. It has the shape of something that crosses the x axis but once. So the other two roots are imaginary.

My calculator says that the real root is 13.91

The two complex ones are 11.04 +/- 1.66i which of course is not real.

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A water molecule is made up of three Adams. 1/3 of the atoms are oxygen and the remaining Adams are hydrogen. If there are 114 w

motikmotik

The number of hydrogen atoms are 304

Solution:

Given that a water molecule is made up of three atoms

Number of atoms in water molecule = 3 atoms

1/3 of the atoms are oxygen and the remaining Adams are hydrogen

$Number\ of\ oxygen\ atoms = \frac{1}{3}\\\\Number\ of\ hydrogen\ atoms = 3 - \frac{1}{3} = \frac{8}{3}$

There are 114 water molecules

8/3 of water molecule is hydrogen

Therefore, number of hydrogen atoms is given as:

$Number\ of\ hydrogen\ atoms = \frac{8}{3} \times 114\\\\Number\ of\ hydrogen\ atoms = 8 \times 38\\\\Number\ of\ hydrogen\ atoms = 304$

Thus number of hydrogen atoms are 304

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swat32

Substitute y = 15x to the equation y = 25 + 12.5x:

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inysia [295]

When finding the domain of a square root, you have to know that it is impossible to get the square root of 0 or any negative number. since domain is possible x values this means that x cannot be 0 or any number less than 0. However, you can find the square root of the smallest most infinitely small number greater than 0. since an infinitely small number close to zero can not be written out, we must must say that the domain starts at 0 exclusive. exclusive is represented by an open or close parenthesis so in this case the domain starts with:
(0,
we can get the square root of any number larger than 0 up to infinity but infinity can never be reached so it is also exclusive. So so the ending of our domain would be:
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So the answer if the square root is only over the x the answer is
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