3 years ago

2x - 3y = 6 7x - 3y = -9 System of equations please solve

1 answer:

5 0

You multiply two by 3 because what you do to one side you do to the other and then you distribute and use the same formula for the bottom equation

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HELP IM TIMED JUST ONE LAST QUESTION

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Step-by-step explanation:

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3 years ago

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You are assigned 32 math exercises for homework. You complete 87.5 of these before dinner. How many do you have left to do after

VARVARA [1.3K]

Answer:

Step by step:

This is if the question is saying you completed 87.5% of the exercises. Otherwise, I don't know what it is asking.

87.5% of 32=28

32-28=4

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3 years ago

Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced

mylen [45]

Answer:

$x=119119,\;\;\;y=119119$

Step-by-step explanation:

Let the $x$ be the first number, $y$ be the second number and $p$ be the product of the first and second number.

i.e $x+y=238238$ $\Rightarrow x=238238-y$

$p=xy$

$\Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2$

$\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119$

Now,

$x=238238-119119\\\\ \Rightarrow x=119119$

Hence, $x=119119,\;\;\;y=119119$

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3 years ago

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given

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See attachment for one such shell. The volume is given by the sum of infinitely many thin shells like this, each with radius $x$ and height determined by the vertical distance between the upper blue curve and the lower orange curve for any given $x$ , i.e. $8e^x-8e^{-x}$ .

The volume is then

$2\pi\displaystyle\int_0^1x\left(8e^x-8e^{-x}\right)\,\mathrm dx=16\pi\int xe^x(e^{2x}-1)\,\mathrm dx=\dfrac{32\pi}9(e^3-4)\approx179.677$

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3 years ago

Aiden spins the spinner shown 20 times. His results are shown in the table. What are the experimental and theoretical probabilit

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Answer:D

Step-by-step explanation:

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