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steposvetlana [31]

3 years ago

5

What is the slope of the following equation? 8z+3y=9

2 answers:

iogann1982 [59]3 years ago

7 0

The slope is -8/3 i got this by first subtracting 8z from both sides to get 3y by itself so the new equation was 3y=9-8z then to isolate y you need to divide everything by 3 so divide 3y by 3 which cancels out and leaves you with y then divide 9 by 3 which is 3 and divide -8 by 3 and you cannot do that do you leave it in fraction form which is -8/3z so your new equation is y=3-8/3z
hope this helps

d1i1m1o1n [39]3 years ago

3 0

Answer:

kk

Step-by-step explanation:

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Tamiku [17]

Answer:

y=4

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7

Step-by-step explanation:

Edg2021

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dlinn [17]

Answer:

The leading coefficient of the polynomial is 5 .

Step-by-step explanation:

f(x) = 6x^5 + 9x^4 + 2x^3 + 3x^2 - 4x -6

In this polynomial , the highest exponential is the leading coefficient .

So there are 5 coefficients ,

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3 years ago

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avanturin [10]

Answer:

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Step-by-step explanation:

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3 years ago

Consider the differential equation y'' − y' − 30y = 0. Verify that the functions e−5x and e6x form a fundamental set of solution

Alex Ar [27]

Answer:

Step-by-step explanation:

We have to take the derivatives for both functions and replace in the differential equation. Hence

for y=e^{-5x}:

$y(x)=e^{-5x}\\y'(x)=-5e^{-5x}\\y''(x)=25e^{-5x}\\$

for y=e^{6x}:

$y(x)=e^{6x}\\y'(x)=6e^{6x}\\y''(x)=36e^{6x}\\$

Now we replace in the differential equation y'' − y' − 30y = 0

for y=e^{-5x}:

$25e^{-5x}+5e^{-5x}-30e^{-5x}=0\\25+5-30=0$

for y=e^{6x}:

$36e^{6x}-6e^{6x}-30=0\\36-6+30=0$

Now, to know if both function are linearly independent we calculate the Wronskian

$W(f,g)=fg'-f'g$

$W(e^{-5x},e^{6x})=(e^{-5x})(6e^{6x})-(-5e^{-5x})(e^{6x})\neq 0$

I hope this is useful for you

Best regard

7 0

3 years ago

The weights of college football players are normally distributed with a mean of 200 pounds and a standard deviation of 50 pounds

belka [17]

Answer:

$P(170$

And we can find this probability with this difference:

$P(-0.6$

Step-by-step explanation:

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(200,50)$

Where $\mu=200$ and $\sigma=50$

We want to find the following probability:

$P(170$

And we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

And using this formula we got:

$P(170$

And we can find this probability with this difference:

$P(-0.6$

8 0

3 years ago