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2 years ago

Which set of graphs can be used to find the solution set to 3e* > >-x?

Mathematics

1 answer:

kobusy [5.1K]2 years ago

7 0

The attached graph represents the solution set of $3e^x > \frac 12^x$

<h3>How to determine the graph?</h3>

The complete options are not given.

So, I would plot the graph that represents the solution set

The inequality is given as:

$3e^x > \frac 12^x$

Start by splitting the inequalities as follows:

$f(x) > 3e^x$

$g(x) > \frac 12^x$

The above means that we plot the graphs of f(x) and g(x) to represent the solution set

See attachment

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Consider the following equations. f(x) = − 4/ x3, y = 0, x = −2, x = −1. Sketch the region bounded by the graphs of the equation

Sindrei [870]

Answer:

1.5 unit^2

Step-by-step explanation:

Solution:-

- A graphing utility was used to plot the following equations:

$f ( x ) = - \frac{4}{x^3}\\\\y = 0 , x = -1 , x = -2$

- The plot is given in the document attached.

- We are to determine the area bounded by the above function f ( x ) subjected boundary equations ( y = 0 , x = -1 , x = - 2 ).

- We will utilize the double integral formulations to determine the area bounded by f ( x ) and boundary equations.

We will first perform integration in the y-direction ( dy ) which has a lower bounded of ( a = y = 0 ) and an upper bound of the function ( b = f ( x ) ) itself. Next we will proceed by integrating with respect to ( dx ) with lower limit defined by the boundary equation ( c = x = -2 ) and upper bound ( d = x = - 1 ).

The double integration formulation can be written as:

$A= \int\limits_c^d \int\limits_a^b {} \, dy.dx \\\\A = \int\limits_c^d { - \frac{4}{x^3} } . dx\\\\A = \frac{2}{x^2} |\limits_-_2^-^1\\\\A = \frac{2}{1} - \frac{2}{4} \\\\A = \frac{3}{2} unit^2$

Answer: 1.5 unit^2 is the amount of area bounded by the given curve f ( x ) and the boundary equations.

Download docx

3 0

2 years ago

20 and 23 lcm and gcf

liraira [26]

Answer:

GCF: 1

LCM: 460

4 0

2 years ago

Read 2 more answers

Find the value of'y'from the given figure<br><img src="https://tex.z-dn.net/?f=class8" id="TexFormula1" title="class8" alt="clas

telo118 [61]

Answer:

$y = 30$

<u>Skills needed: Angle Geometry</u>

Step-by-step explanation:

1) First, let's see what we should know prior to solving.

---> We have to find the value of $y$ , and looking at that diagram, we have to create an equation.

---> The angle measure of a straight line is 180 degrees, otherwise known as a straight angle (a straight angle is 180 degrees).

---> When you add $3y+3y$ , you can set that sum equal to 180. This is because the two angles marked $3y$ added together make a straight line, which is a straight angle.

(Note: In geometry, ONE OF THE THINGS WE CAN ASSUME is that there is a straight line there.)

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2) Now, the equation would be:

$3y+3y=180$

$6y=180$ --> Combining $3y$ and $3y$ (3+3 = 6)

$y = 180\div6$ --> Dividing by 6 on both sides, to get $y$ by itself.

$y=30$ ---> $180 \div 6$ is 30, so $y$ is equal to 30.

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$y=30$

6 0

2 years ago

305 divided by 12.2=____

ra1l [238]

305 divided by 12.2 equals 25. Have a nice day! ^ U ^

7 0

2 years ago

Can someone else me with the answer I think that it’s 93 degrees

inna [77]

Thank you for coming to Brainly with your questions!

I believe the answer is:

93 degrees. You were correct. The interior angles all add up to 360, so you subtract each given angle to find the missing angle.

I hope this helps you! Please mark Brainliest! Let me know if I can help you with any further questions!

-Belle

7 0

3 years ago

Read 2 more answers