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3 years ago

Hey! A step by step explanation on this would be great! Thanks! (25 Points)

Mathematics

1 answer:

kicyunya [14]3 years ago

6 0

Step-by-step explanation:

We find the stationary point of (20 + 2x)(1200 - 60x),

where x is the unit rate of increase/decrease.

d/dx [(20 + 2x)(1200 - 60x)]

= d/dx (-120x² + 1200x + 24000)

= -240x + 1200.

When d/dx [(20 + 2x)(1200 - 60x)] = 0,

We have -240x + 1200 = 0. => x = 5.

Price per shirt that maximise revenue

= $20 + $2x = $20 + $2(5) = $30.

Maximum revenue

= (20 + 2(5))(1200 - 60(5))

= $30 * 900 = $27,000.

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Will mark brainliest for any help!

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3 years ago

Write the exponential equation for the given situation. A tennis tournament starts with 128 participants. Each round, half of th

inysia [295]

Answer:

y= 128(1-.5)^t

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3 years ago

Is (-1,2) a solution of y=-2x-1

Klio2033 [76]

A solution of a function is where the function hits the x-axis, so if y is any number that is not equal to 0, there is no possible way that point can be a solution.

Hope this helps!

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3 years ago

Read 2 more answers

Solve the system of equations graphicallySolution=?

BigorU [14]

The given system is

$\begin{cases}y=\frac{5}{2}x-8 \\ y=-\frac{1}{2}x-2\end{cases}$

Given that y = y, let's combine the equations

$\frac{5}{2}x-8=-\frac{1}{2}x-2$

Let's solve for x

$\begin{gathered} \frac{5}{2}x+\frac{1}{2}x=8-2 \\ \frac{6}{2}x=6 \\ 3x=6 \\ x=\frac{6}{3} \\ x=2 \end{gathered}$

Then, we find y

$y=-\frac{1}{2}x-2=-\frac{1}{2}\cdot2-2=-1-2=-3$

The solution is (2, -3).

The image below shows the solution graphically.

3 0

1 year ago

Show your work:<br><br> Express 160 pounds (lbs) in kilograms (kg). Round to the nearest hundredths.

andrew-mc [135]

Answer:

160 lbs = 72.57kg

Step-by-step explanation:

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

Each lb has 0.45kg. How many kg are there in 160lbs. So:

1lb - 0.45kg

160 lbs - xkg

$x = 0.45*160$

$x = 72.57$ kg

160 lbs = 72.57kg

4 0

3 years ago