Step-by-step explanation:
20
opposite angles are equal
6x = 120
x = 20
Answer:
B. f(x) = -x^3 - x^2 + 7x - 4
Step-by-step explanation:
For this problem, we want to find the fastest-growing term in our given expressions and equate them when x is - infinite and when x is infinite to see the given trends.
For each of these equations, we will simply take the terms with the highest power and consider those. The two cases we need to consider is + infinite for x and - infinite for x. Let's check each of these equations.
Note, any value raised to an even power will be positive. Any negative value raised to an odd power will be negative.
<u>[A] - x^4</u>
<em>When x is +∞ --> - (∞)^4 --> f(x) is -∞</em>
<em>When x is -∞ --> - (-∞)^4 --> f(x) is -∞</em>
<em />
<u>[B] - x^3</u>
<em>When x is +∞ --> - (∞)^3 --> f(x) is -∞</em>
<em>When x is -∞ --> - (-∞)^3 --> f(x) is ∞</em>
<em />
<u>[C] 2x^5</u>
<em>When x is +∞ --> 2(∞)^5 --> f(x) is ∞</em>
<em>When x is -∞ --> 2(-∞)^5 --> f(x) is -∞</em>
<em />
<u>[D] x^4</u>
<em>When x is +∞ --> (∞)^4 --> f(x) is ∞</em>
<em>When x is -∞ --> (-∞)^4 --> f(x) is ∞</em>
<em />
Notice how only option B, when looking at asymptotic (fastest-growing) values, satisfies the originally given conditions for the relation of x to f(x).
Cheers.
Answer:
7x + 6 = 55; x=7
Step-by-step explanation:
"six more than" -> +6
"product of seven and a number" -> 7x
7x + 6 = 55
7x = 55 - 6
7x = 49
x=7
The logarithmic expression of 4^(1/2) = 2 is 
<h3>How to rewrite the expression?</h3>
The expression is given as:
4^(1/2) = 2
Take the logarithm of both sides
log(4^(1/2)) = log(2)
Apply the change of base rule
1/2log(4) = log(2)
Divide both sides by log(4)
1/2 = log(2)/log(4)
Change the base
Rewrite as:
Hence, the logarithmic expression of 4^(1/2) = 2 is
Read more about logarithmic expression at:
brainly.com/question/24211708
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Answer:
CED = 117
Step-by-step explanation:
21x +21 = 7x +49
21x - 7x = 49 - 21
14x = 28
x = 28/14
x = 2
7x + 49
=7(2) + 49
=14 + 49
=63
180 -63 = 117
CED= 117
