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3 years ago

WILL MARK BRAINLIEST PLEASE HELP x

Mathematics

1 answer:

polet [3.4K]3 years ago

7 0

Answer:

3. time = 6.4999 approximately 6.5 years

4. $2235.35

5. $ 3950

Step-by-step explanation:

4. amount of interest = final amount - principle= 7535.35 - 5300 = 2235.35

5. principle = final amount - interest earned = 4435.25 - 485.25 = 3950

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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

3 years ago

Please help me with number two and three :)

Blababa [14]

The answer to number 2 is:A as there is 1 pear for every three apples and
The answer to number 3: C. Since it also equals 0.6 which is the number eight games won in the first row divided by the number of games played in the first row

8 0

2 years ago

The graph below shows the hours students spent studying and their language arts test scores.

Alexandra [31]

Answer:

correct answer is 40

Step-by-step explanation:

hope it helps:D

5 0

3 years ago

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Help plz i dont undertand

lora16 [44]

Answers:

x = 4
AB = 36
BC = 36
AC = 36

All three sides are 36 units long.

===========================================================

Explanation:

Triangle ABC is equilateral, so all three sides are the same length.

Pick any two of those sides, set them equal to each other, and solve for x

AB = BC

8x+4 = 11x-8

8x-11x = -8-4

-3x = -12

x = -12/(-3)

x = 4

Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).

AB = 8x+4 = 8*4+4 = 32+4 = 36
BC = 11x-8 = 11*4-8 = 44-8 = 36
AC = 9x = 9*4 = 36

We get the same value for the three side lengths, so this confirms we have the correct x value.

7 0

2 years ago

How would you write x+3y=3 in y=mx+b format

Triss [41]

X+3y=3
First add subtract the x
3y=-x+3
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Y=-1/3x+1

8 0

3 years ago

Read 2 more answers