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Harrizon [31]
2 years ago
11

Which of the binomials below is a factor of this trinomial?

Mathematics
2 answers:
Elina [12.6K]2 years ago
6 0
STEP-BY-STEP SOLUTION:

= x^2 - 13x + 30

= x^2 - 10x - 3x + 30

= x ( x - 10 ) - 3 ( x - 10 )

= ( x - 10 ) ( x - 3 )

FINAL ANSWER:

Therefore, the answer is:

C. x - 10

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3
Mandarinka [93]2 years ago
6 0

Answer:

x-3

Step-by-step explanation:

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recalling that d = rt, distance = rate * time.


we know Hector is going at 12 mph, and he has already covered 18 miles, how long has he been biking already?


\bf \begin{array}{ccll} miles&hours\\ \cline{1-2} 12&1\\ 18&x \end{array}\implies \cfrac{12}{18}=\cfrac{1}{x}\implies 12x=18\implies x=\cfrac{18}{12}\implies x=\cfrac{3}{2}


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\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Hector&d&12&t+\frac{3}{2}\\[1em] Wanda&d&16&t \end{array}\qquad \implies \begin{cases} \boxed{d}=(12)\left( t+\frac{3}{2} \right)\\[1em] d=(16)(t) \end{cases}


\bf \stackrel{\textit{substituting \underline{d} in the 2nd equation}}{\boxed{(12)\left( t+\frac{3}{2} \right)}=16t}\implies 12t+18=16t \\\\\\ 18=4t\implies \cfrac{18}{4}=t\implies \cfrac{9}{2}=t\implies \stackrel{\textit{four and a half hours}}{4\frac{1}{2}=t}

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