3 years ago

The function m is given in three equivalent forms. Which form most quickly reveals the vertex

Mathematics

1 answer:

Rufina [12.5K]3 years ago

3 0

Answer:

m (x) = -2(x-6)^2 +18

Step-by-step explanation:

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dsp73

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3 years ago

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2 years ago

For the first 30 km, the bicyclist rode with a speed of v km/hour. For the remaining 17 km he rode with a speed which was 2 km/h

damaskus [11]

Answer:

t= 2.52 hours

Step-by-step explanation:

It is given that for first 30 km, the speed of bicyclist is v km/hour

time taken to cover first 30 km is given by

$t_{1} =\frac{30}{v}$ ( $time=\frac{distance}{speed}$ )

for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed

so the speed to cover next 17 km = v+2

time taken to cover next 17 km is given by

$t_{2} =\frac{17}{v+2}$

now total time t spent by the bicyclist to cover entire trip is given by

$t=t_{1} +t_{2}$

$t=\frac{30}{v} +\frac{17}{v+2}$

now if v=18 , we have

$t=\frac{30}{18} +\frac{17}{20}$

now to add fractions we make the denominator same

Hence we will find the LCM of 18 and 20

LCM of 18 and 20 = 180

now we need to make both the denominator equal to 180

$t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}$ $t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}$

$t=\frac{453}{180} =2.52$ hours (approx)

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3 years ago

Kim read 4/5 of her book and Grace read 6/10 of her book. who read more of her book, kim or Grace?

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Kim did. Make the fractions into decimals(4 divided by 5, 6 divided by 10) Kim got 0.8, while Grace got 0.6.

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3 years ago

|6t−7|−8 ≥ 3 Please help me quick

Phantasy [73]

Hope the answer helps you!!!
:)

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2 years ago