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Aleksandr [31]
3 years ago
8

claire was able to verify that x=3 was a solution to her teacher's linear equation, but the equation got erasted from thw board.

what might the equation have been? identify as many equations as you can with a solution of x=3.
Mathematics
1 answer:
svet-max [94.6K]3 years ago
7 0
X+5=8
x+(-7)=-4
4+x=7
7-x=4
3-x=0
-9×x= -27
those are just a few options
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Miguel has 7 days to read a 96. Page book. He wants to find out how many pages he needs to read each day to finish the book in t
aev [14]

Answer:  D. If he reads 13 pages each day, he will be 5 pages short of his goal.

Step-by-step explanation:

96/7

≈13.7

if he reads only 13 he wont reach his goal of 96

6 0
2 years ago
Evaluate using integration by parts ​
PolarNik [594]

Rather than carrying out IBP several times, let's establish a more general result. Let

I(n)=\displaystyle\int x^ne^x\,\mathrm dx

One round of IBP, setting

u=x^n\implies\mathrm du=nx^{n-1}\,\mathrm dx

\mathrm dv=e^x\,\mathrm dx\implies v=e^x

gives

\displaystyle I(n)=x^ne^x-n\int x^{n-1}e^x\,\mathrm dx

I(n)=x^ne^x-nI(n-1)

This is called a power-reduction formula. We could try solving for I(n) explicitly, but no need. n=5 is small enough to just expand I(5) as much as we need to.

I(5)=x^5e^x-5I(4)

I(5)=x^5e^x-5(x^4e^x-4I(3))=(x-5)x^4e^x+20I(3)

I(5)=(x-5)x^4e^x+20(x^3e^x-3I(2))=(x^2-5x+20)x^3e^x-60I(2)

I(5)=(x^2-5x+20)x^3e^x-60(x^2e^x-2I(1))=(x^3-5x^2+20x-60)x^2e^x+120I(1)

I(5)=(x^3-5x^2+20x-60)x^2e^x+120(xe^x-I(0))

Finally,

I(0)=\displaystyle\int e^x\,\mathrm dx=e^x+C

so we end up with

I(5)=(x^4-5x^3+20x^2-60x+120)xe^x-120e^x+C

I(5)=(x^5-5x^4+20x^3-60x^2+120x-120)e^x+C

and the antiderivative is

\displaystyle\int2x^5e^x\,\mathrm dx=(2x^5-10x^4+40x^3-120x^2+240x-240)e^x+C

8 0
3 years ago
Does -8x+8=0 have a solution ?
dusya [7]

Answer:

Yes it does. It is 1.

Step-by-step explanation:

Subtract 8 from both sides then divide both sides by -8 and you get 1.

5 0
2 years ago
A farm stand sells apples pies and jars of applesauce. The table shows the number of apples needed to
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Answer:

Step-by-step explanation:

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Whats three quarters of 450
shepuryov [24]
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