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3 years ago

Please help with this! :)

Mathematics

1 answer:

olchik [2.2K]3 years ago

3 0

Answer:

4 and 3 <------- That's the set I believe!

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Find the value of $x$ that maximizes $$f(x) = \log (-20x + 12\sqrt{x}).$$ If there is no maximum value, write "NONE".

kakasveta [241]

The function is written as:
f(x) = log(-20x + 12√x)
To find the maximum value, differentiate the equation in terms of x, then equate it to zero. The solution is as follows.

The formula for differentiation would be:
d(log u)/dx = du/u ln(10)
Thus,
d/dx = (-20 + 6/√x)/(-20x + 12√x)(ln 10) = 0
-20 + 6/√x = 0
6/√x = 20
x = (6/20)² = 9/100

Thus,
f(x) = log(-20(9/100)+ 12√(9/100)) = 0.2553

The maximum value of the function is 0.2553.

5 0

3 years ago

Una comercializadora de café necesita construir una bodega con forma de cubo. La capacidad de la bodega debe ser de 216 metros c

Alexus [3.1K]

Answer:

La arista de la bodega debe medir 6 metros.

Step-by-step explanation:

Podemos encontrar la arista de la bodega sabiendo su volumen:

$V = a^{3}$

En donde:

V: es el volumen de un cubo = 216 m³

a: es la arista del cubo =?

La arista del cubo es:

$a = \sqrt[3]{V} = \sqrt[3]{216 m^{3}} = 6 m$

Por lo tanto, la arista de la bodega debe medir 6 metros.

Espero que te sea de utilidad!

8 0

3 years ago

5z ≥ -75 Help PLease

erastova [34]

Answer: -15

Step-by-step explanation:

In this equation, all you have to do is divide the -75 by the 5 and you get -15.

7 0

3 years ago

Which line on the graph below has an undefined slope?

goldenfox [79]

Answer:

up and down is positive, side by side is negitive diagnoal lines are negitive. so undefined is anything under the x axis that doesn't go over the line

6 0

3 years ago

Some friends plotted the locations of their house on a map. brianna's house is at (1,6), Jordan's house is at (5,3). What is one

Rufina [12.5K]

Let
A (1,6)------> location brianna's house on a map
B (5,3)------> location Jordan's house on a map

we know that
One possible path from brianna's house to jordan's house it's a straight line ( the shortest distance)

using a graph tool
see the attached figure

find the distance points AB
d=√[(y2-y1)²+(x2-x1)²]-----> d=√[(3-6)²+(5-1)²]----> d=√[3²+4²]
d=√25----> d=25 units

the distance from brianna's house to jordan's house is 25 units

4 0

3 years ago