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3 years ago

13

H(t)= |t+3| + 3 . find h(6)

1 answer:

Leno4ka [110]3 years ago

6 0

Sub 6 for t

H(6)=|6+3|+3
H(6)=|9|+3
H(6)=9+3
H(6)=12

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Step-by-step explanation:

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$\because \: time \times speed = distance \\ \therefore \: 4(t + 3) \times 10(t + 3) = 810 \\ \therefore \: 4(t + 3)^{2} = 81 \\ \therefore \: \{2(t + 3) \}^{2} = {9}^{2} \\ \therefore \: \{2(t + 3) \} = {9} \\ \therefore \: t + 3 = \frac{9}{2} \\ \therefore \: t = \frac{9}{2} - 3 \\ \therefore \: t = \frac{9 - 6}{2} \\ \therefore \: t = \frac{3}{2} \\ \therefore \: t = 1.5 \: hrs \\ speed \: of \: car = 10(t + 3) \\ \hspace{60 pt} = 10(1.5 + 3) \\ \hspace{60 pt}= 10 \times 4.5 \\ \red{ \boxed{ \bold{ \therefore \: speed \: of \: car = 45 \:km/ h}}} \\$

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Step-by-step explanation:

Probability = number of favorable outcomes/number of outcomes

Given that 30% are entertained by reading books

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<em></em>

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re-writing, we have

<em>y = 0.8x</em>

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