<h3>
Answer: Choice C) x^4 - 2</h3>
Explanation:
If the exponent is negative, then that means we apply the reciprocal. So something like x^(-2) becomes 1/(x^2). A polynomial cannot have a variable in the denominator like this. So we can rule out choices A, B, and D. Choice C is the only thing left. It is a polynomial because the exponent is a positive whole number.
Answer:
x = - 5, x = - 3
Step-by-step explanation:
Given
x² + 15 = - 8x ( add 8x to both sides )
x² + 8x + 15 = 0 ← in standard form
Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)
The factors are 5 and 3, since
5 × 3 = 15 and 5 + 3= 8, thus
(x + 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x + 3 = 0 ⇒ x = - 3
Heather invested $2,200 at 9% and invested $3,700 at 4%
What represents the amount invested in each asset?
The amount invested at 9% can be represented as x whereas the balance invested at 4% is (5900-x), as a result, the interest earned on each is computed thus:
Interest 9%=x*9%
interest at 9%=0.09x
Interest at 4%=(5900-x)*4%
interest at 4%=236-0.04x
Total interest=0.09x+236-0.04x
total interest=0.05x+236
Total interest earned=346
346=0.05x+236
346-236=0.05x
110=0.05x
x=110/0.05
x=$2,200(invested at 9%)
amount invested at 4%=5900-2200
amount invested at 4%=$3,700
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