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4 years ago

10

To which subset of the real numbers does √2 belong

1 answer:

pishuonlain [190]4 years ago

4 0

It is an irrational number.

As a decimal, it equals 1.414235... This is a nonrepeating and nonterminating decimal, which makes it an irrational number, It also cannot be represented as a ratio of two integers.

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The axis of symmetry for the graph of the function f(x) =

lara [203]

Answer:

12

Step-by-step explanation:

$y = - x {}^{2} + bx + 10 \\ y = - (x {}^{2} - bx - 10) \\ y = -( (x - \frac{b}{2} ) {}^{2} - \frac{b {}^{2} }{4} - 10) \\ y = - (x - \frac{b}{2} ) {}^{2} + 10 + \frac{b {}^{2} }{4} \\ \\ therefore \: \frac{b}{2} = 6 \\ b = 12$

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3 years ago

2. Amy had 0.87 liters of grape juice. Flora had 0.92 liters more. How much

iogann1982 [59]

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Step-by-step explanation:

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3 years ago

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Answer:

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3 years ago

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The formula for the area of a rectangle is A-ly, where A is the area, I is the length, and w is the width. If a rectangle has an

Colt1911 [192]

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Step-by-step explanation:

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3 years ago

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A rocket is shot straight into the air at an initial velocity of 70 feet/second.

DanielleElmas [232]

Answer: 245 feet

Step-by-step explanation:

Given: The height of the rocket after t seconds is represented by the formula:

$h=70t-5t^2$

$\dfrac{dh}{dt}=70-10t$ [Differentiate both sides w.r.t. t]

Put

$\dfrac{dh}{dt}=0\\\\\Rightarrow\ 70-10t=0\\\\\Rightarrow\ t=\dfrac{70}{10}=7$

Also, $\dfrac{d^2h}{dt^2}=-10$ i.e. height is maximum at t=7.

Maximum height = $h=70(7)-5(7)^2 = 490 - 245= 245\text{ feet}$

Hence, the maximum height the rocket reaches = 245 feet.

3 0

3 years ago