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3 years ago

Integrate with respect to x -2/3√((2-5x)^3)

Mathematics

1 answer:

salantis [7]3 years ago

5 0

Hello,

$\displaystyle \int {-\dfrac{2}{3} \sqrt{(2-5x)^3}} \, dx \\\\\displaystyle=-\dfrac{2}{3}*\dfrac{-1}{5} \int {-5*(2-5x)^{\frac{3}{2} }} \, dx \\\\\displaystyle=\dfrac{4}{3}*(2-5x)^{\frac{5}{2} }+C$

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Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

4x^3 + 2 = 34

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3 years ago

Which statement best describes the solution to the equation below ?

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3 years ago

You plant a rectangular rose garden along the side of your garage. You enclose 3 sides of the garden with 40 feet of fencing. Th

solmaris [256]

Let's assume

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now, we can solve for L

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we know that

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$100=L*W$

now, we can plug

$100=(40-2W)*W$

now, we can solve for W

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we can use quadratic formula

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$W=\frac{-40-\sqrt{40^2-4\left(-2\right)\left(-100\right)}}{2\left(-2\right)}$

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now, we can find L

$L=40-2*2.929$

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3 years ago

PLEASE HELP 30 PTS!!! Select ALL the correct answers. Which expressions are equivalent to the following?

Oksanka [162]

Answer:

D: -5(-6x^2 + x + 2)

E: 5(2x + 1)(3x − 2)

Step-by-step explanation:

The <em>first two answer choices have incorrect constants</em> (25 and 3 vs -10). A factor of 5 is removed from the remaining answer choices, so let's remove a factor of 5 and see what we get:

30x^2 -5x -10 = 5(6x^2 -x -2)

An additional x cannot be factored from the expression, so <em>choice C can be eliminated</em>.

Multiplying each of these factors by -1 will make the product correspond to answer choice D.

Factoring will make it correspond to answer choice E, best verified by finding the x-term of the product of the binomial factors:

E: 2x(-2) +1(3x) = -x, as required

F: 2x(2) -1(3x) = x, wrong sign

The equivalent expressions are those of choices D and E.

7 0

3 years ago