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4 years ago

Need urgent help in mathematics!! Will mark brainliest!!!!

Mathematics

2 answers:

r-ruslan [8.4K]4 years ago

8 0

The answer would be 2.
The number within the bracket of h(x) is telling you what number to substitute that variable with.

So, in the case of this question, h(8) is telling you to substitute 8 into 'x', and then solve the equation.

$h(8) = 2(x - 7) \\ h(8) = 2(8 - 7) \\ h(8) = 2(1) \\ h(8) = 2$

motikmotik4 years ago

7 0

H⒳ = 2 (× - 7)

⓵ You need to replace “ × ” by 8 and calculate everything!

2 • (8 - 7) = ?

2 • 1 = ?

2 = ?

So your answer is : 2!

I really hope this helped, if there’s anything just let me know! ☻

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4 years ago

A weight suspended by a spring vibrates vertically according to the function D D given by D(t)=2sin(4π(t+18)) D ( t ) = 2 sin (

STALIN [3.7K]

Answer:

21.75 cm/s

Step-by-step explanation:

1 cm above central position means D = 1, so we plug in 1 into D(t) and find the time and which this occurs.

$D(t)=2Sin (4\pi(t+18))\\1=2Sin (4\pi(t+18))\\\frac{1}{2}=Sin(4\pi t +72\pi)\\4\pi t + 72 \pi = \frac{\pi}{6}\\4\pi t = \frac{\pi}{6}-72\pi\\t=\frac{\frac{\pi}{6}-72\pi}{4\pi}$

This is the time at which this occurs.

To find instantaneous rate of change, we differentiate D(t) and plug in this t we found. Remembering that d/dt (Sin t) = Cos t

$D(t)=2Sin (4\pi(t+18))\\D(t)=2Sin(4\pi t + 72\pi)\\D'(t)=2Cos(4\pi t + 72\pi)(4\pi)$

Now putting t:

$D'(t)=2Cos(4\pi t + 72\pi)(4\pi)\\D'(\frac{\frac{\pi}{6}-72\pi}{4\pi})=2Cos(4\pi (\frac{\frac{\pi}{6}-72\pi}{4\pi}) + 72\pi)(4\pi)\\=8\pi Cos(\frac{\pi}{6})\\=21.75$

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8 0

3 years ago

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ehidna [41]

Answer:

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Given data

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Distance = speed*time

Distance= 74*6

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3 years ago

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aksik [14]

Answer:

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4 0

4 years ago