Can you please help me with this I will mark the BRAINLIEST who ever can help thanks
2 answers:
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Given:
U be the set of all books, N the set of all novels, and H be the set of all hardcover books.
To find:
The description for the sets and
in words.
Solution:
We have,
U = The set of all books
N = The set of all novels
H = The set of all hardcover books.
We know that means common elements of set N and set H.
Therefore, is set of all books that are both novels and hardcover books.
We know that is the set of elements of universal set except the elements of set H.
Therefore, is the set of all books that are not hardcover books.
The graph of the pH function can be created by plotting the output of
input values of the hydronium ions, <em>x</em>, in the range 0 < x ≤ 1.
Correct responses:
First part:
Please find attached the graph of the pH function
From the attached graph of the pH function, we have;
- The point where the pH value is 0 is
- The point where the pH value is 1 is
- The pH level if the hydronium ion is raised to 0.50 is approximately <u>0.3</u>
Second part
- Please find attached the graph of the transformations, f(x) + 1, and f(x + 1) of the parent log function.
- The transformation that results in a y-intercept is
, because, at x = 0, f(x + 1) = 0.
First part
The pH function is; f(x) = -log₁₀x
Please find attached the graph of the pH function created with MS Excel
Where;
x = Amount of hydronium ions
f(x) = pH level
When the pH is 0, we have;
-log₁₀x = 0
Which gives;
x = 10⁰ = 1
- When the pH value is 0, the point on the graph is
When the pH value is 1, we have;
-log₁₀x = 1
log₁₀x = -1
x = 10⁻¹ = 0.1
- The point on the graph where the pH value is 1 is
- From the graph, the ideal pH level if the amount of hydronium ions is raised to 0.50 is pH = 0.301029996 ≈ <u>0.30</u>
Second Part
The given transformations are;
f(x) + 1, and f(x + 1)
- <u>The graph of the transformations created with MS Excel is attached</u>
At the y-intercept, x = 0
From the transformation, f(x) + 1, we have;
At x = 0, the transformation = -log₁₀(0) + 1
log₁₀(0) = Does not exist (DNE)
Therefore;
f(x) + 1 = -log₁₀(0) + 1 = DNE
The transformation, f(x + 1), at x = 0, gives;
f(0 + 1) = -log₁₀(0 + 1) = -log₁₀(1) = 0
Therefore;
The function f(x + 1) = -log₁₀(x + 1) is defined at x = 0, and therefore, has a y-intercept
- The transformation that has a y-intercept is
Learn more about the pH values here:
