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alexgriva [62]
3 years ago
8

Find the slope for -8y=2x+5

Mathematics
2 answers:
kiruha [24]3 years ago
7 0
The slope for -8y=2x+5 is m=-1/4
Anastasy [175]3 years ago
4 0

Answer:

-1/4

Step-by-step explanation:

in y=mx+b, m represents the slope. Let's try to get your equation to look like that. We can see that on the left side, the y is not yet alone so we must try to accomplish that. to do that we divide by -8 from the -8y, but we must also do that to the other side. you would get y=-2/8x-5/8. then we would simplify the -2/8x into -1/4x. Now it is y=-1/4x-5/8 and that resembles y=mx+b. m is slope and -1/4 is m.

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For the first movie he has 6 choices, then for the second since he has chosen the first there are only 5 left, then for the third there are only 4 choices left and so on.

Therefore the answer is 6!=6*5*4*3*2=720 orderings
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4 years ago
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Describe and correct the error in evaluating the expression. -10^2 = 100
Lina20 [59]

Answer:

-10² = -100

Step-by-step explanation:

The error in the evaluation occurred when the negative base (which is -10) was squared altogether outside of the parenthesis. (-10²) still results in <u>-100</u>.

The only time that the result will produce a positive 100 is when you square -10 this way: (-10)² = 100 because the negative sign is included with the squaring of base through the parenthesis.

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72 paper clips to 63 paper clips
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3 years ago
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AURORKA [14]
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3 years ago
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Find the solution to dy/dt = 7 y<br><br> satisfying<br> y(9) = 5
AVprozaik [17]
\rm \dfrac{dy}{dt}=7y,\qquad\qquad\qquad y(9)=5

I'm not sure what methods you've learned up to this point but one option is to apply separation of variables:

\rm \dfrac{dy}{y}=7dt

and then integrate from there,

\rm ln|y|=7t+c

exponentiate to isolate y,

\rm |y|=e^{7t+c}

Apply exponent rule,

\rm |y|=e^c e^{7t}

rename this e^c as some new constant, perhaps A,

\rm \pm y=A e^{7t}\qquad\qquad A>0

This A can only be positive, non-zero, but absorbing the plus/minus fixes that restriction,

\rm y=A e^{7t}\qquad\qquad A\ne0

Use your initial information to solve for this unknown value A,

\rm y(9)=A e^{7\cdot9}=5

solving for A, dividing by the exponential,

\rm A=5e^{-63}

So we get a final result of

\rm y(t)=5e^{-63}e^{7t}

apply exponent rule again to get a better looking answer, and factor,

\rm y(t)=5e^{7(t-9)}

Lemme know if too confusing.
3 0
3 years ago
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