Use logarithmic differentiation to find the derivative of y.
y = x(x + 8) (x + 9)

Answer:

x=1

Step-by-step explanation:

3x - 5 =7x -9

Subtract 3x from each side

3x - 5-3x =7x-3x -9

-5 = 4x-9

Add 9 to each side

-5+9 = 4x-9+9

4 = 4x

Divide each side by 4

4/4 = 4x/4

1=x

Answer:

numbers

=

1

Step-by-step explanation:

1

Add

5

5

5

to both sides of the equation

3

−

5

=

7

−

9

3x-5=7x-9

3x−5=7x−9

3

−

5

+

5

=

7

−

9

+

5

3x-5+{\color{#c92786}{5}}=7x-9+{\color{#c92786}{5}}

3x−5+5=7x−9+5

2

Simplify

Add the numbers

Add the numbers

3

=

7

−

4

3x=7x-4

3x=7x−4

3

Subtract

7

7x

7x

from both sides of the equation

3

=

7

−

4

3x=7x-4

3x=7x−4

3

−

7

=

7

−

4

−

7

3x{\color{#c92786}{-7x}}=7x-4{\color{#c92786}{-7x}}

3x−7x=7x−4−7x

4

Simplify

Combine like terms

Combine like terms

−

4

=

−

4

-4x=-4

−4x=−4

5

Divide both sides of the equation by the same term

−

4

=

−

4

-4x=-4

−4x=−4

−

4

−

4

=

−

4

−

4

\frac{-4x}{{\color{#c92786}{-4}}}=\frac{-4}{{\color{#c92786}{-4}}}

−4−4x=−4−4

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

1

Answer:

4/3

Step-by-step explanation:

Answer:

The volume of the irregular figure would be 144 [tex]cm^3[/tex].

Step-by-step explanation:

If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex], represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 [tex]cm^3[/tex], and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 [tex]cm^3[/tex]. So the volume of the entire irregular figure would be 108 + 36 = 144 [tex]cm^3[/tex].

Answer:

144 cm^3

Step-by-step explanation:

Large rectangle:

12 × 3 × 3 = 36 × 3 = 108

Small rectangle:

7 - 3 = 4

4 × 3 × 3 = 12 × 3 = 36

Both:

36 + 108 = 144

Hope this helped.

Answer: [tex]48.5\ ft[/tex]

Step-by-step explanation:

Given

Area of the regular hexagon is [tex]169.74\ ft^2[/tex]

Length of the apothem is [tex]l=7\ ft[/tex]

Suppose the side of the hexagon is a

Hexagon can be divided into six equal triangles with same area

Area of a single triangle is

[tex]\Rightarrow A_1=\dfrac{1}{2}\times 7\times a\\\\\Rightarrow A_1=3.5a\ ft^2[/tex]

Area of hexagon will be equal to area of 6 equal area triangles

[tex]\Rightarrow 6A_1=169.74\\\Rightarrow 6\times 3.5a=169.74\\\Rightarrow a=8.08\ ft[/tex]

Perimeter of the hexagon is

[tex]\Rightarrow P=6a\\\Rightarrow P=6\times 8.08\\\Rightarrow P=48.49\approx 48.5\ ft[/tex]

Thus, the perimeter of the hexagon is [tex]48.5\ ft[/tex]

Answer:

C

Step-by-step explanation:

edge 2021

Answer: Slope = c / a + b

Concept:

Here, we need to know the idea of a slope.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope = Rise / Run = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)

Solve:

STEP ONE: Identify the points

A (0, 0)

C (a + b, c)

STEP TWO: Apply the formula

Slope = (y₂ - y₁) / (x₂ - x₁)

Slope = (c - 0) / (a + b - 0)

Slope = c / a + b

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(-1,3)

Step-by-step explanation:

Using midpoint formula, we have

x=(-4+2)/2=-1

y=(-2+8)/2=3

Answer:

0.05N - 0.1N + 1.7 (in dollars

1.7 - 0.05N (in dollars)

Step-by-step explanation:

Given :

Total number of coins = 17

Number of nickels = N

Number of dimes = 17 - N

1 nickel = 5 cent = $0.05

1 dime = 10 cent = $0.1

The amount of money :

(Value of nickel * number of nickels) + (value of dime * number of dime)

(0.05 * N) + (0.1 * (17-N))

0.05N + 1.7 - 0.1N

0.05N - 0.1N + 1.7

-0.05N + 1.7 = 1.7 - 0.05N

Answer:

cos Z = 8/17

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = opp / hyp

cos Z = 16/34

cos Z = 8/17

compute the range of the figures into the table

Answer:

x = 0 and 3 other real roots. See below.

Step-by-step explanation:

This is what you wrote:

[tex] 3x + \dfrac{1}{x^2} - 1 = \dfrac{2}{x} - 2 + \dfrac{x}{x} - 1 [/tex]

I don't think that is what you meant to write.

I think you meant to write this:

[tex] 3x + \dfrac{1}{x^2 - 1} = \dfrac{2}{x - 2} + \dfrac{x}{x - 1} [/tex]

I'm going to answer the second equation because that is what I think you meant.

[tex] 3x + \dfrac{1}{(x - 1)(x + 1)} = \dfrac{2}{x - 2} + \dfrac{x}{x - 1} [/tex]

[tex] 3x(x - 1)(x + 1)(x - 2) + (x - 2) = 2(x - 1)(x + 1) + x(x + 1)(x - 2) [/tex]

[tex] (3x^2 - 6x)(x^2 - 1) + x - 2 = 2x^2 - 2 + x(x^2 - x - 2) [/tex]

[tex] 3x^4 - 3x^2 - 6x^3 + 6x + x - 2 = 2x^2 - 2 + x^3 - x^2 - 2x [/tex]

[tex] 3x^4 - 7x^3 - 4x^2 + 9x = 0 [/tex]

[tex] x(3x^3 - 7x^2 - 4x + 9) = 0 [/tex]

[tex] f(x) = 3x^3 - 7x^2 - 4x + 9 [/tex]

[tex] f(-3) = -123 [/tex]

[tex] f(-2) = -35 [/tex]

[tex] f(-1) = 3 [/tex]

[tex] f(0) = 9 [/tex]

[tex] f(1) = 1 [/tex]

[tex] f(2) = -3 [/tex]

[tex] f(3) = 15 [/tex]

One root is x = 0.

There is a root between x = -2 and x = -1.

There is a root between x = 1 and x = 2.

There is a root between x = 2 and x = 3.

Plot the graph of f(x) = 3x^3 - 7x^2 - 4x + 9 and try to read the other three roots.

Answer:

2 remaining slices

Step-by-step explanation:

It sounds complicated so firstly, let's break it down.

Ron and two of his friends

There are three people involved in this question.

ate one fourth each

These three people ate one fourth of the pizza each

of an eight slice pizza.

From a pizza with eight slices

Find remaining slice of the pizza ​

The main question : remaining slice of the pizza

So since there were three people and they ate one fourth of the pizza

( One fourth's [tex]\frac{1}{4}[/tex] by the way )

We need to find out how much have they ate.

Simply multiply 3 with [tex]\frac{1}{4}[/tex] .

3 × [tex]\frac{1}{4}[/tex] = [tex]\frac{12}{4}[/tex] × [tex]\frac{1}{4}[/tex]

= [tex]\frac{3}{4}[/tex]

And there you go! Ron and his friends ate [tex]\frac{3}{4}[/tex] of the pizza.

But that's not the end.

The main question : Remaining slice of the pizza

It's an eight slice pizza, so a slice would be : [tex]\frac{1}{8}[/tex]

A full eight slice pizza would be one.

So, to find the remaining slice of pizza, simply subtract [tex]\frac{3}{4}[/tex] from 1.

1 -  [tex]\frac{3}{4}[/tex] =  [tex]\frac{4}{4}[/tex] -  [tex]\frac{3}{4}[/tex]

= [tex]\frac{1}{4}[/tex]

Now there's a remainding of [tex]\frac{1}{4}[/tex] of the pizza.

But the question asked for remaining slices.

So, simply convert the denominator into 8!

( Just in case you don't know what's a denominator )

[tex]\frac{numerator}{denominator}[/tex]

So, simply multiply the denominator by 2 to turn 4 into 8!

And also, whenever the denominator is multiplied/ divided by any number, so do the numerator.

[tex]\frac{1 times 2}{4 times 2}[/tex] = [tex]\frac{2}{8}[/tex]

Your answer's the numerator, 2!

So your final answer should be 2 remaining slices out of the eight sliced pizza.

Answer:

x = 25°

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , then

2x + 100 = 150 ( subtract 100 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25°

Answer: x = 25°

Step-by-step explanation:

⇒2x + 100 = 150

⇒2x = 150-100

⇒x = 50/2

⇒x = 25

Reason (VOA) vertically opposite angles are equal.

please click thanks and mark brainliest if you like :)

c) 37.7cm

Hope this helps!! Give brainliest if possible.....Have a good day.

Answer:

cos theta = -1/ 2

Step-by-step explanation:

sin theta = -sqrt(3)/2

Drawing a triangle

We know sin theta = opp/hyp

We can determine the adj side using the Pythagorean theorem

a^2 + b^2 = c^2

adj^2 + (-sqrt(3))^2 = 2^2

adj^2 +3 = 4

adj^2 = 4-3

adj ^2 =1

Taking the square root of each side

adj = 1

We know that since it is in the third quadrant the adj side is negative

adj = -1

cos theta = adj / hyp

cos theta = -1/ 2

Answer:

Solution given:

Sin[tex]\theta_{1}=\frac{-\sqrt{3}}{2}[/tex]

[tex]\frac{opposite}{hypotenuse}=\frac{-\sqrt{3}}{2}[/tex]

equating corresponding value

opposite=-[tex]\sqrt{3}[/tex]

hypoyenuse=2

adjacent=x

By using Pythagoras law

hypotenuse²=opposite²+adjacent²

2²=-[tex]\sqrt{3²}[/tex]+x²

4=3+x²

x²=4-3

x=[tex]\sqrt{1}=1[/tex]

x=-1

In third quadrant

Cos angle is negative

Cos[tex]\theta_{1}=\frac{-adjacent}{hypotenuse}[/tex]

Answer:

umm it's a piecewise function and I think the graph is correct I don't really understand what you mean by what is the "graph" of the following function since the graph is already there...

Step-by-step explanation:

Answer:

$13,000

Step-by-step explanation:

52 weeks in a year means 26 two week periods (fortnights, if you feel it is important in social studies). This means 2600 dollars per year. Multiplty by 5 to get $13,000. Hope this helps!

Answer:

∠ L ≈ 21.6°

Step-by-step explanation:

Using the Sine rule in the triangle

[tex]\frac{MN}{sinL}[/tex] = [tex]\frac{LM}{sinN}[/tex] , that is

[tex]\frac{34}{sinL}[/tex] = [tex]\frac{42}{sin27}[/tex] ( cross- multiply )

42 × sinL = 34 × sin27° ( divide both sides by 42 )

sinL = [tex]\frac{34sin27}{42}[/tex] , then

∠ L = [tex]sin^{-1}[/tex] ( [tex]\frac{34sin27}{42}[/tex] ) ≈ 21.6° ( to the nearest tenth )

Answer:

x=7

Step-by-step explanation:

3/2x + 7/2 = 2x

Subtract 3/2x from each side

3/2x -3/2x + 7/2 = 2x-3/2x

7/2 = 2x -3/2x

Get a common denominator

7/2 = 4/2x - 3/2x

7/2 = 1/2 x

Multiply each side by 2

7/2 *2 = 1/2x*2

7 =x

Answer:

x=7

Step-by-step explanation:

im smart

Answer:

y = -10

Step-by-step explanation:

When x = 17, the equation be -17 + y = -27 when you plug in 17 for x

Then, add 17 to both sides to get y = -10

Answer:  " y =  -10 . "

___________________

Step-by-step explanation:

___________________

The question:

Find the  value of  "y" when "x" equals 17.

Given the equation:

 - x + y = -27 ;

___________________

We plug in the given value: "17" ; for "x" ; and solve for "y" :

- 17 + y = -27 ;

_____________________

↔ y + (-17) = -27 ;

Rewrite as:

   y − 17  = -27 ;   {since:  "adding a negative value" is the same

                                           as "subtracting a positive value."}.

_____________________

Now, we add "17" to each side of the equation;

to isolate "y" on one side of the equation; and to solve for "y" :

  y − 17 + 17  = -27 + 17 ;

to get:

  y  =  - 10 .

_____________________

Hope this is helpful to you.

Best wishes to you in your academic pursuits—

    and within the "Brainly" community!

_____________________

Answer:

[tex]{ \sf{ - 2 {a}^{5} + 4 {a}^{4} + 5 {a}^{3} + \frac{2}{3}a }}[/tex]

Answer:

D

Step-by-step explanation:

A polynomial is in standard equation when the degree of the polynomial are in descending order.

Answer:

rational is the answer....

Answer:

(a)x(a^2+2a-3)+5(a^2+2a-3)

Answer:

j' = (1,-2)   k'=(3,-1) L' = (3,-3)

Step-by-step explanation:

I think that you just multiply all the x,y values for the three points by 1/5?

5 1

-10 -2

j' = (1,-2)

~~~~~~~~~~~~~~~~~~  

15 3

-5 -1

k'=(3,-1)

~~~~~~~~~~~~~~~

15 3

-15 -3

l' = (3,-3)

Answer:

5n

Step-by-step explanation:

output=5x

where x is = input

there fore if input is n, output is 5n

Answer: A,C,D

Step-by-step explanation:

Answer:

pretty sure it's a, c, and d

Step-by-step explanation:

polygons have straight sides, not curved. it's a 2d figure, and it is enclosed. b doesn't fit the criteria of that because of the fact that the shape is a bit curved, as the other options do fit that criteria.

9514 1404 393

Answer:

  A. 53.5cm^2

Step-by-step explanation:

The area of the circle is ...

  A = πr²

  A = 3.14(5 cm)² = 78.5 cm²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(10 cm)(5 cm) = 25 cm²

The shaded area is the difference between the circle area and the triangle area:

  shaded = 78.5 cm² -25 cm² = 53.5 cm²

_____

Additional comment

As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).

The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.

Answer:

A.) 53.5 cm2

Step-by-step explanation:

I got it correct on founders edtell

Answer:

what can i help u with

Step-by-step explanation:

The graph of x = |y| is as shown in the figure.

When we draw a vertical line, it intersects the graph at two points.

This means for the same value of x , we have two values of y.

Or in other words, for the same pre image, we have two images.

Hence it is not a function.

But for every value of x, we do have a value of y, hence it is a relation.

x = |y| is a relation but it is not a function

Answer:

:B

Step-by-step explanation:

hope that can help