Which rules of exponents will be used to evaluate this expression? Check all that apply. StartFraction left-brace (negative 8) S
1 answer:
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Bryan has to take 8 classes for both Pro's to be the same price.
Step-by-step explanation:
Given,
Monthly charges of Pro at Windy = $20.00
Charges per lesson = $10.00
Let,
x be the number of lessons
W(x) = 10x +20
Monthly charges of Sunny Sands = $100.00
They offer unlimited classes.
S(x) = 100
For the price to be same;
W(x) = S(x)
Dividing both sides by 10
Bryan has to take 8 classes for both Pro's to be the same price.
Keywords: function, division
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Option B
Trevor isn't correct because -2i must also be a root
<em><u>Solution:</u></em>
For the polynomial with roots -7, 2i and 7 their roots can be,
1. ) Real roots
2.) Imaginary roots
The real roots are: -7 and +7
The imaginary root given is: 2i
The imaginary roots come from the square root. So they will be in form of
Therefore,
For f(x) with roots -7 and +7 and we have,
Fundamental Theorem of Algebra states that a polynomial will have exactly as many roots as its degree (the degree is the highest exponent of the polynomial).
So for f(x) with 4 roots, degree of f(x) is 4
So option B is correct. Trevor is not correct because –2i must also be a root.