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2 years ago

Please help with khan

Mathematics

2 answers:

nataly862011 [7]2 years ago

8 0

Answer:

Step-by-step explanation:

she solved it correct by subtracting 7.5 from both sides

vladimir2022 [97]2 years ago

4 0

Answer:

he made an mistake in step one

Step-by-step explanation:

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Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x)= 6x^1/3 + 3x^4/3. You must justify

irina [24]

Answer:

x-coordinates of relative extrema = $\frac{-1}{2}$

x-coordinates of the inflexion points are 0, 1

Step-by-step explanation:

$f(x)=6x^{\frac{1}{3}}+3x^{\frac{4}{3}}$

Differentiate with respect to x

$f'(x)=6\left ( \frac{1}{3} \right )x^{\frac{-2}{3}}+3\left ( \frac{4}{3} \right )x^{\frac{1}{3}}=\frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}$

$f'(x)=0\Rightarrow \frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}=0\Rightarrow x=\frac{-1}{2}$

Differentiate f'(x) with respect to x

$f''(x)=2\left ( \frac{-2}{3} \right )x^{\frac{-5}{3}}+\frac{4}{3}x^{\frac{-2}{3}}=\frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}\\f''(x)=0\Rightarrow \frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}=0\Rightarrow x=1$

At x = $\frac{-1}{2}$ ,

$f''\left ( \frac{-1}{2} \right )=\frac{4\left ( -1+4\left ( \frac{-1}{2} \right ) \right )}{3\left ( \frac{-1}{2} \right )^{\frac{5}{3}}}>0$

We know that if $f''(a)>0$ then x = a is a point of minima.

So, $x=\frac{-1}{2}$ is a point of minima.

For inflexion points:

Inflexion points are the points at which f''(x) = 0 or f''(x) is not defined.

So, x-coordinates of the inflexion points are 0, 1

7 0

2 years ago

The table below shows that 1 day equals 24 hours. Notice that 12 hours is one-half of that. Use the table to help you determine

djverab [1.8K]

Answer:

There are 1.25 days in 30 hours or 1 1/4 days in 30 hours

Step-by-step explanation:

As we know one day is 24 hours. So if we divide 30 hours by 24 hours (or one whole day) then we get 1.25 days or also known as 1 1/4 days

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2 years ago

Solve the proportions

DanielleElmas [232]

Do cross multiply or butterfly. For example first one. 18/x=6/10 So cross multiply 18×10 =6x 180=6x Divide both sides by 6 to get x alone 180÷6=30 So x =30 Do the same to rest

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2 years ago

Simplify. Brainliest, help asap! <3

Mariana [72]

-4 for the first one and 2/3 for the second

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3 years ago

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