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3 years ago

How can i rewrite the function by completing the square. h(x)= 4 x^{2} -36 x +81

Mathematics

2 answers:

STatiana [176]3 years ago

5 0

Answer:

You can write like this

h(x)=(2x-9)^2

Step-by-step explanation:

EastWind [94]3 years ago

4 0

Answer:

Step-by-step explanation:I don't say you need to mark my ans as brainliest but my friend if it has really helped you don't forget to thank me...

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Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.

AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning = 9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

$\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}$

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

And, returned over the same road at the rate of 40 mph.

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours, ( 1 hours = 60 minutes )

⇒ $\frac{x}{40}-\frac{x}{45}=\frac{1}{2}$

⇒ $\frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}$

⇒ $\frac{x}{360} = \farc{1}{2}$

⇒ $2x=720$

⇒ $x=360\text{ miles}$

Hence, the total distance from home to New York = x miles = 360 miles

⇒ $\text{ Time taken by him in going } = \frac{x}{45}\text{ hours}$

$=\frac{360}{45}=8\text{ hours}$

⇒ $\text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}$

$=\frac{360}{40}=9\text{ hours}$

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3 years ago

What is 5^4 equal please help me.

Nina [5.8K]

5^4 equals 625 your welcome

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lianna [129]

Answer:

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You have 50 tickets to ride the ferris wheel and the roller coaster. if you ride 12 times total, using 3 tickets for each ferris

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Hey! :)

you went on the roller coaster 7 times and the ferris wheel 5 times

Hope this helps! :)

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