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WINSTONCH [101]
3 years ago
6

What is -5(4x-2) simplify

Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
8 0
The answer is -20x+10
yan [13]3 years ago
5 0

\text{Simplify the expression:}\\\\-5(4x-2)\\\\\text{Distribute the -5 to the variables inside the parenthesis}\\\\\boxed{-20x+10}

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2x-6+1=3x+4
2x-5=3x+4
2x-3x=4+5
-x=9


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When no unit is given for an angle, what unit must be used?
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Given an ODE x'=f(t,x) with initial condition x(t_0)=x_0, the general process is to write the ODE as an integral equation,

x(t)=x_0+\displaystyle\int_{t_0}^tf(u,x(u))\,\mathrm du

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From this we work towards finding a pattern for x_n so that we can find a solution of the form x=\lim\limits_{n\to\infty}x_n.

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Write this as the integral equation,

x_{n+1}=x(0)+\displaystyle\int_{t_0}^t(x_n(u)+2)\,\mathrm du

First step:

x_1=x(0)+\displaystyle\int_{t_0}^t(x_0(u)+2)\,\mathrm du
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x_1=2t

Second step:

x_2=x(0)+\displaystyle\int_{t_0}^t(x_1(u)+2)\,\mathrm du
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x_2=t^2+2t

Third step:

x_3=x(0)+\displaystyle\int_{t_0}^t(x_2(u)+2)\,\mathrm du
x_3=\displaystyle\int_0^t(t^2+2t+2)\,\mathrm du
x_3=\dfrac13t^3+t^2+2t

Fourth step:

x_4=x(0)+\displaystyle\int_{t_0}^t(x_3(u)+2)\,\mathrm du
x_4=\displaystyle\int_0^t\left(\frac13u^3+u^2+2u+2\right)\,\mathrm du
x_4=\dfrac1{4\times3}t^4+\dfrac13t^3+t^2+2t

You should already start seeing a pattern. Recall that

e^t=\displaystyle\sum_{k=0}^\infty\frac{x^k}{k!}=1+t+\frac{t^2}2+\frac{t^3}{2\times3}+\frac{t^4}{2\times3\times4}+\cdots

Multiplying this by 2 gives

2e^t=2+2t+t^2+\dfrac{t^3}3+\dfrac{t^4}{4\times3}+\cdots

which matches the solution we have for x_4 except for that first term. So subtracting that, we find a solution of

x=2e^t-2

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Hopefully this gives some insight on how to approach the other two problems.
6 0
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(I WILL GIVE BRAINLEST AND 50 POINTS TO WHOEVER CAN EXPLAIN TO ME HOW THIS WORKS AND GIVE ME A HINT WHAT THE ANWSER IS LINEAR FU
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Answer:

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PART B  

The initial value of the graph is 60 meters and this represents the initial position of the shark (it is located 60 meters below the ocean surface).  

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The slope of the graph is  and this represents how fast (speed) the shark can dive. We know this because dividing meters over the number of minutes would give us meters/minute and this is describing the speed.

Step-by-step explanation:

I hoped i could help

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