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Illusion [34]
3 years ago
13

H(x) = 3х – 4 What is h(6)?

Mathematics
1 answer:
xeze [42]3 years ago
8 0

Answer:

14

Step-by-step explanation:

h(6) means what is the value of h(x) when x is 6.

The value given for h(x) is 3x-4.

So we need to evaluate the expression 3x-4 for x=6.

Replace x with 6: 3(6)-4

Now perform order of operations.

3(6)-4

18-4

14

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\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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then Wanda kicks in, rolling like a lightning at 16mph.

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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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