Answer:
x = 4
Step-by-step explanation:
To begin, first find Angle SUT.
Knowing that SUH is a straight line, Angle SUT plus 100 degrees should equal 180 degrees. Angle SUT is 80 degrees.
The sum of all the degrees in a triangle is also 180 degrees.
SO
(4x + 4) + (21x - 4) + 80 = 180
25x + 80 = 180
25x = 100
x = 4
Answer:
D
Step-by-step explanation:
When you are raising something to a fractional power, you are raising it to the power of the numerator and finding the root denoted by the denominator. The explanation above is kinda confusing, so here is an example:
x^(3/5)
This would be written as:
Now for the actual problem. Since the numerator is 4, we start by raising x to the 4th power, x^4.
Because the denominator is 5, we find the 5th root:
This matches none of the answers shown, so the answer is none of the above or D.
Based on the information provided, the amount of money associated with the credit card debt is inferred to be $10,000.
<h3>What is a debt?</h3>
A debt is a term that refers to an obligatory payment commitment that relates two entities that can be:
- Person - group
- Person - company
- Person - State
- Group - company
- Group - State
- Company - State
Based on the foregoing, it can be inferred that the term debt refers to the payment obligation of $10,000 that a person may have in order to use their credit card.
Learn more about debt in: brainly.com/question/1293792
For the given functions, the domains are:
1) All real numbers.
2) D: x≥ -3
3) D: set of all real numbers such that x ≠ 0
4) D: 7 ≥ x ≥-7
5) All real numbers.
<h3>
How to get the domain of the given functions?</h3>
For any function, we assume that the domain is the set of all real numbers, and then we remove all the values of x that generate problems (like a denominator equal to zero or something like that).
1) f(x) = x^2 - 4
This is just a quadratic equation, the domain is the set of all real numbers.
2) f(x) = √(x + 3)
Remember that the argument of a square root must be equal to or larger than zero, so here the domain is defined by:
x + 3 ≥ 0
x≥ -3
The domain is:
D: x ≥ -3
3) f(x) = 1/x
We can assume that the domain is the set of all real numbers, but, we can see that when x = 0 the denominator becomes zero, then we need to remove that value from the domain.
Thus, we conclude that the domain is:
D: set of all real numbers such that x ≠ 0
4) f(x) = √(49 - x^2)
Here we must have:
49 - x^2 ≥ 0
49 ≥ x^2
√49 ≥ x ≥-√49
7 ≥ x ≥-7
The domain of this function is:
D: 7 ≥ x ≥-7
5) f(x) = √(x^2 + 1)
Notice that x^2 is always a positive number, then the argument of the above square root is always positive, then the domain of that function is the set of all real numbers.
If you want to learn more about domains:
brainly.com/question/1770447
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You use the quotient rule
It comes to
18x^4 - 3x^3 + 18x^2 + 8x + 4
-----------------------------------------
(3x2 + 2)^ (3/2)