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3 years ago

Homework help, one of the few I have

Mathematics

2 answers:

Alex73 [517]3 years ago

8 0

Answer:

x=4 and the solution is not extraneous

Step-by-step explanation:

$\sqrt{2x+1}=3 \\\\2x+1=9 \\\\2x=8 \\\\x=4$

This solution is not extraneous, because plugging it back in you get:

$\sqrt{2(4)+1}=3 \\\\\sqrt{9}=3 \\\\3=3$

Hope this helps!

Bogdan [553]3 years ago

7 0

Answer:

X = 4, solution is not extraneous

Step-by-step explanation:

3 = √9

so we get the following comparison;

2X + 1 = 9 (both minus 1)

2X = 8 (divide by 2)

X = 4

if we fill in 4 for X. we get

√2•4+ 1 = √9 = 3 so the solution is not extraneous

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The expression D=23g shows the distance that Kurt can drive on a tank of gasoline.

Step-by-step explanation:

Given,

Distance covered by Kurt's car = 23 miles per gallon of gasoline

Kurt fills up tank of his car with g gallons.

Number of gallons in car's tank = g gallons

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3 years ago

Which statement describes the graph of f(x) = -4x3 - 28x2 - 32x + 64?

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Answer:

D=The graph touches at the x-axis at x=-4 and crosses the x-axis at x=1

Step-by-step explanation:

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3 years ago

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I'm pretty sure the answer is 7:00 pm

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3 years ago

Integrate this two questions

tankabanditka [31]

Simplify the integrands by polynomial division.

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Now computing the integrals is trivial.

$\displaystyle \int \frac{t^2}{1 - 3t} \, dt = -\frac19 \int \left(3t + 1 - \frac1{1-3t}\right) \, dt \\\\ = -\frac19 \left(\frac32 t^2 + t + \frac13 \ln|1 - 3t|\right) + C \\\\ = \boxed{-\frac{t^2}6 - \frac t9 - \frac{\ln|1-3t|}{27} + C}$

where we use the power rule,

$\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C ~~~~ (n\neq-1)$

and a substitution to integrate the last term,

$\displaystyle \int \frac{dt}{1-3t} = -\frac13 \int \frac{du}u \\\\ = -\frac13 \ln|u| + C \\\\ = -\frac13 \ln|1-3t| + C ~~~ (u=1-3t \text{ and } du = -3\,dt)$

$\displaystyle \int \frac t{1+4t} \, dt = \frac14 \int \left(1 - \frac1{1+4t}\right) \, dt \\\\ = \frac14 \left(t - \frac14 \ln|1 + 4t|\right) + C \\\\ = \boxed{\frac t4 - \frac{\ln|1+4t|}{16} + C}$

using the same approach as above.

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2 years ago

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Elden [556K]

Answer:

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