The solution to the system of inequalities is (-3.375, 1.75)
<h3>How to graph the inequalities?</h3>The system of inequalities is given as:
3y > 2x+12
2x+y < -5
Next, we plot the graph of the system using a graphing tool
From the graph, both inequalities intersect at
(-3.375, 1.75)
Hence, the solution to the system of inequalities is (-3.375, 1.75)
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Answer:
Step-by-step explanation:
We want to for a polynomial function whose real zeros are -2 with multiplicity 2 and 4 with multiplicity 1.
If -2 is a zero of a polynomial, then by the factor theorem, x+2 is a factor.
Since -2 has multiplicity 2, (x+2)² is a factor.
Also 4 is a zero which means x-4 is a factor.
We write the polynomial in factored form as:
We expand to get:
We expand further to get:
Answer:
$1080
Step-by-step explanation:
convert % to decimal by multiplying 3.2%x100=0.032
then multiply by initial amount 3000x0.032
then multiply by 2 because it's compounding semiannual
then multiply by 3 because it's over a 3 yr period
do the same for the quarterly compound but multiply by 4 because it's quarterly
over a 3 yr period the quarterly compounded amount will earn:
$504 more than the account compounded semiannual