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3 years ago

Help if correct will give brainiest

Mathematics

2 answers:

Tpy6a [65]3 years ago

7 0

Answer:

the answer is Z all you have to do is move it left 4 times and then up 6 times

kakasveta [241]3 years ago

3 0

Answer:

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

3 years ago

You put $600 in an account with a simple interest rate of 2.5%. How long does it take for the account to earn $45?

MA_775_DIABLO [31]

Answer:

$3\ years$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=?\ years\\ P=\$600\\ A=\$600+\$45=\$645\\r=0.025$

substitute in the formula above and solve for t

$645=600(1+0.025t)$

$t=[(645/600)-1]/0.025=3\ years$

8 0

3 years ago

I need help ASAP please help me

Rus_ich [418]

Answer:

y=2x

Step-by-step explanation:

It goes up by 2 units every x value so

4 0

3 years ago

Read 2 more answers

How do you solve this equation -6x + 7y =13 and -6x +8y =20 using elimination

ohaa [14]

Answer:

x=6,y= 7

Step-by-step explanation:

-6x +7y= 13

-6x+8y=20

-y = -7

divide through by -1

y =7

sub y= 7 in equation 1

then x= 6

8 0

3 years ago

Entering to par

alekssr [168]

Answer: you would simple multiply the cost c which is fifty bucks times the number of p people

Step-by-step explanation: how much would it cost for 6 people to go to the fair to solve this you would just set up the equation 6 * 50 and solve from there

6 0

3 years ago