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maksim [4K]
3 years ago
7

The equation x^3-6x=72 has a solution between 4 and 5. Use a trial and improvement method to find this solution. Give your answe

r correct to 1 decimal place. You must show all your working. On the same line as your final answer you must write ‘to 1 decimal place’
Mathematics
1 answer:
Slav-nsk [51]3 years ago
6 0

Answer:

4.6

Step-by-step explanation:

x³-6x=72

x³-6x-72=0   .... a solution between 4 and 5

x=4             x³-6x-72= 64-24-72 = -32

x=5             x³-6x-72= 125-30-72 = 23

we have to find an x value that makes x³-6x-72 --> 0

see the attachment, we can find the 0 value of x is between 4.63 and 4.64

‘to 1 decimal place’ of the solution is: 4.6 (4.63 is too small and 4.64 is too big)

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3 years ago
Correct answer gets 25 points! Help please!
JulsSmile [24]
Y = mx + c

If y = 4, and x = 0, then:

4 = -1 (0) + c

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3 0
3 years ago
Read 2 more answers
Given s left parenthesis t right parenthesis equals 5 t squared plus 5 ts(t)=5t2+5t​, find
finlep [7]

Answer:

The velocity function is v(t)=10t+5.

The acceleration function is a(t)=10.

When t = 44​, the velocity is v(44)=445 \:\frac{ft}{s}.

When t = 44​, the acceleration is a(44)=10\: \frac{ft}{s^2}.

Step-by-step explanation:

We know that the position function is given by

s(t)=5t^2+5t

Velocity is defined as the rate of change of position or the rate of displacement. If you take the derivative of the position function you get the instantaneous velocity function.

v(t)=\frac{ds}{dt}

Acceleration is defined as the rate of change of velocity. If you take the derivative of the instantaneous velocity function you get the instantaneous acceleration function.

a(t)=\frac{dv}{dt}

The instantaneous velocity function is given by

v(t)=\frac{d}{dt} s(t)=\frac{d}{dt}(5t^2+5t)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(5t^2\right)+\frac{d}{dt}\left(5t\right)\\\\\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}\\\\v(t)=10t+\frac{d}{dt}\left(5t\right)\\\\\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dt}\left(t\right)=1\\\\v(t)=10t+5

The instantaneous acceleration function is given by

a(t)=\frac{dv}{dt} =\frac{d}{dt}(10t+5)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\a(t)=\frac{d}{dt}\left(10t\right)+\frac{d}{dt}\left(5\right)\\\\a(t)=10

To find the velocity and acceleration when t = 44, we substitute this value into the velocity and acceleration functions

v(44)=10(44)+5\\v(44)=445 \:\frac{ft}{s}

a(44)=10\: \frac{ft}{s^2}

6 0
4 years ago
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Vikentia [17]
The answer would be Thursday because it is negative for one and two it is the most farthest number away for the most good weather
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4 years ago
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Answer:

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Step-by-step explanation:

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0.12 + 1.15= 1.27

3 0
3 years ago
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