PLEASE HELP THIS IS URGENT!!
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The inequality that can be used to determine x is
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<h3>How to generate the inequality</h3><u>Given data</u>
Rental company charge per day = $31.91
Rental company charge per mile driven = $0.07
Hudson plans to drive 100 miles
Hudson has at most $70
solution
let x represent he maximum number of days Hudson can afford to rent while staying on budget. cost of number of days is:
$31.91 * x= 31.91x
As Hudson plans to ride 100 miles; cost is:
100 * 0.07 = $7
therefore number of days plus 100 miles ride is:
31.91x + 7
with a limit of less than or equal to the budget we have:
The inequality above could be used to determine x
Read more on inequality here: brainly.com/question/11613554
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A second degree polynomial function has the general form:
, where 
.
The leading coefficient is a, so we have a=-1.
5 is a double root means that :
i) f(5)=0,
ii) the discriminant D is 0, where
.
Substituting x=5, we have
f(5)=a(5)^2+b(5)+c,
and since f(5)=0, and a is -1 we have:
0=-25+5b+c
thus c=25-5b.
By ii)
.
Substituting a with -1 and c with 25-5b we have:
Finally we find c: c=25-5b=25-50=-25
Thus the function is
Remark: It is also possible to solve the problem by considering the form
directly.
In general, if a quadratic function has leading coefficient a, and has a root r of multiplicity 2, then its form is
The leading coefficient is a, so we have a=-1.
5 is a double root means that :
i) f(5)=0,
ii) the discriminant D is 0, where
Substituting x=5, we have
f(5)=a(5)^2+b(5)+c,
and since f(5)=0, and a is -1 we have:
0=-25+5b+c
thus c=25-5b.
By ii)
Substituting a with -1 and c with 25-5b we have:
Finally we find c: c=25-5b=25-50=-25
Thus the function is
Remark: It is also possible to solve the problem by considering the form
In general, if a quadratic function has leading coefficient a, and has a root r of multiplicity 2, then its form is