Which point is located at (3,4)? A) M. B) N. C) O. D) P

Answer:

b) local minimum at [tex]x=\frac{1}{e}[/tex]

c) Graph of the function is convex

Step-by-step explanation:

We are told that [tex]f'(\frac{1}{e})=0[/tex], which implies there is a turning/stationary point at [tex]x=\frac{1}{e}[/tex].

Substituting [tex]x=\frac{1}{e}[/tex] into [tex]f''(x)[/tex] will tell us if the turning point is a minimum or a maximum:

[tex]f''(\frac{1}{e})=\frac{1}{\frac{1}{e} } =e>0 \implies \textsf{local minimum}[/tex]

Therefore, statement a) is false and statement b) is true.

If the function has a minimum turning point, then this implies that the curve is convex.  Therefore, statement c) is true.

Extremum = local min and max points.

We have already established that there is a local minimum at [tex]x=\frac{1}{e}[/tex], therefore statement d) is false.

I know this is not needed for this question, but here are the workings to detemine the equation of the function (I've also attached a graph).  This supports the answers above.

[tex]\textsf{if} \ f''(x)=\frac{1}{x}\\\\\implies f'(x)=\int f''(x) \ dx \\\\\implies f'(x)=ln|x|+C\\[/tex]

[tex]\textsf{if} \ f'(\frac{1}{e})=0\\\\\implies ln|\frac{1}{e}|+C=0\\\\\implies -1+C=0\\\\\implies C=1\\\\[/tex]

[tex]\implies f'(x)=ln|x|+1\\[/tex]

[tex]\textsf{if} \ f'(x)=ln|x|+1\\\\\implies f(x)=\int f'(x) \ dx\\\\\implies f(x)=xln(x)-x+x+C\\\\\implies f(x)=xln(x)+C[/tex]

Answer:

add 200 for each of the In

Step-by-step explanation:

10 plus 200 is 210

211 = 411

536 = 736

1406 = 1606

Answer: for the 211 input the output is 411 and the 536 input has a 736 input

Step-by-step explanation:

It’s adding 200 each time

Step-by-step explanation:

Hope it will helps you..

Your photo is so unclear ..but i try my best to understand...

Answer:

8x-20

Step-by-step explanation:

Distribute:

12x-18-2(2x+1)

12x-18-4x-2

Collect like terms:

8x-18-2

Answer:

8x-20

Answer: 2 2/5

Step-by-step explanation:

Denominator stays the same, divide 12 and 5, remainder at the top

࿐αɴѕωєя࿐

m = 93 - h / b

Step-by-step explanation:

bm + h = 93

bm = 93 - h

m = 93 - h / b

Hope it helps ⚜

Answer:

The slope intercept form is used to find the y-intercept and the slope of a straight line. If you look closely, it is a linear function too; meaning the function can tell you its domain and range.

Step-by-step explanation:

Slope formula:

[tex] \frac{y2}{x2} - \frac{y1}{x1} = m[/tex]

Substitute the points into the formula format:

[tex] \frac{4}{ - 5} - \frac{8}{ - 5} = m[/tex]

Solve:

[tex] \frac{ - 4}{0} = m[/tex]

When a slope has a run (x) of 0, the slope is undefined.

Answer:

-4 / 0

Step-by-step explanation:

Given the following question:

(-5, 8), (-5, 4)

In order to find the answer to this question we will use rise over run, substitute the values, and then solve.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
(-5, 8), (x1, y1)
(-5, 4), (x2, y2)
4 - 8 = -4
-5 - -5 = 0
m = -4 / 0

Hope this helps.

Answer:

q is -3

Step-by-step explanation:

collect like terms 12 moves to the other side

81/q = -27

q is 81/-27

therefore the answer is -3

Answer:

-9

Step-by-step explanation:

[tex]\frac{81}{q}>-39+12=-27\\81>-27 q\\q<-81/27\\q<-3\\[/tex]

so the answer is -9

Answer:

x = 2 and y = 3

Step-by-step explanation:

-3(5x+2y=16)

2(7x+3y=23)

-15 x - 6y = -48

14 x + 6y = 46

the y's cancel out

- x = - 2

x = 2

5x + 2y = 16

5(2) + 2y = 16

2y = 6

y = 3

Answer:

D

or the bottom answer

Step-by-step explanation:

3x ≥ 3 and 9x < 54

÷3    ÷3      ÷9    ÷9

x ≥ 1             x < 6

"and" means joined together

"≥" means filled in

"<" means not filled in

I hope this helps!

Answer:

3; 5; 35

Step-by-step explanation:

Sorry can’t help

Divide the shape into a square and a rectangle, multiply 7 by 10, and subtract 10 from 21 to get 11. then multiply 11 by 24. Lastly, add the products together and you get 334 feet squared. Have a good day my friend!

The area of the polygon is: 334 ft²

To find the area of a polygon, decompose the polygon into known shapes and find the area of each shape, then add all.

Thus:

Decomposing the polygon given, we would have rectangle 1 and rectangle 2.

Area of rectangle 1 = length × width = 7 × 10 = 70 ft²

Area of rectangle 2 = length × width = 24 × (21 - 10) = 264 ft²

Area of the polygon = 264 + 70 = 334 ft²

Learn more about area of polygon on:

https://brainly.com/question/21629405

Answer:

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} [/tex]

[tex] \frac{13}{5} + \frac{13}{10} - \frac{47}{15} [/tex]

[tex] = \frac{13 \times 6 + 13 \times 3 - 47 \times 2}{30} [/tex]

[tex] = \frac{78 + 39 - 94}{30} = \frac{117 - 94}{30} = \frac{23}{30} [/tex]

Simplifying [tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}[/tex] is equal to [tex]\frac{23}{30}[/tex]

Given the following equation:

A fraction refers to a numerical quantity that isn't expressed as a whole number. Therefore, a fraction is simply expressed as a part of a whole number.

In Mathematics, a fraction consists of two (2) main parts and these are:

In this exercise, you're required to simplify the given fractions. Thus, we would convert the mixed fraction to a single fraction as follows:

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}=\frac{13}{5} +\frac{13}{10} -\frac{47}{15}[/tex]

Note: Lowest common multiple (LCM) of 5, 10 and 15 = 30.

[tex]\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{78+39-94}{30} \\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{117-94}{30}\\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{23}{30}[/tex]

Read more on fractions here: brainly.com/question/368260

Answer:

Subtracting 1 from each side length of GHIJKL

Adding 15 degrees to angles G, H, and I, and subtracting 15 degrees from angles J, K, and L  

adding 3 to each side length in GHIJKL

Step-by-step explanation: Plato

Answer: 2&3 are the answers .

Step-by-step explanation: I got the answer right on my test .

Answer:

1.9.75x> 195

2.9.75x> 195

9.75/9.75x>195/9.75

x>20hrs

Answer:

Yes they are similar due to the parallel lines of XY & BC. So, technically, the small and big triangle both will share the same base angles because corresponding angles are equal. Thus, angle AYX will be equal to angle YCB, for example.

In addition, two shapes are similar if one is an enlargement of another.

Hope this helps!

Answer:

Step-by-step explanation:

We are looking for 100% interest amount.

Since the yearly interest rate is 13%, time required to double the amount is:

Answer:

7 movie tickets 59.5

Step-by-step explanation:

divide 34 by 4 and then you get 8.5 then multiply that by 7

So in fig 1 :

In fig 2 :

The area of the composite figure is,

A = 175 m²

We have to given that,

A composite figure is shown.

In first part,

Lenght (L) = 14m

Width (W) = 9m

Hence, We get;

Area = L × W

Area = 9 × 14

Area = 126 m²

For second part,

Lenght (L) = 7m

Width (w) = 16 - 9 = 7m

Hence, We get;

Area= L × W

Area = 7 × 7

Area =49m²

So, We can formulate;

The area of the composite figure is,

A = 126 + 49

A = 175 m²

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ2

Answer:

18, 12

Step-by-step explanation:

x+y=30

x-y=6

2x=36 (add the equations before this together)

x=18

y=12

Answer:

The numbers are x = 18 and y = 12.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

how i got cause i had same answer not to long ago

Answer:

-5w - 5/2

Step-by-step explanation:

hope it helps

Answer:

D.

Step-by-step explanation:

here is something to help you

Answer:

8, 5, 4, 7, 12, 9, 20, 9, 21

All explanations below!

Step-by-step explanation:

1. 1/2 times 16 = 8

2. 1/4 times 20 = 5

3. 1/3 times 12 = 4

4. 1/5 times 35 = 7

5. 2/3 times 18 = 12

6. 3/7 times 21 = 9

7. 5/8 times 32 = 20

8. 1/6 times 54 = 9

9. 3/4 times 28 = 21

Answer:

[tex]f(x)=x(x-9)(x-6)(x+8)(x-7)[/tex]

Step-by-step explanation:

If [tex]9=x[/tex]  then [tex]x-9=0[/tex]

If [tex]6=x[/tex]  then [tex]x-6=0[/tex]

etc.

So  [tex]f(x)=x(x-9)(x-6)(x+8)(x-7)[/tex]