The graph of y+21 > 6 is

Answer:

Find the first and second derivatives:

[tex]\begin{aligned}f(x) & =-x-\dfrac{9}{x}\\& =-x-9x^{-1}\\\\\implies f'(x) & =-1-(-1)9x^{(-1-1)}\\ & =-1+9x^{-2}\\ & = -1+\dfrac{9}{x^2}\\\\\implies f''(x) & = 0+(-2)9x^{(-2-1)}\\& = -18x^{-3}\\& = -\dfrac{18}{x^3}\end{aligned}[/tex]

To find the stationary points (local minimum and maximum) set the first derivative to zero and solve for x:

[tex]\begin{aligned}f'(x) & = 0 \\\\\implies -1+\dfrac{9}{x^2} & = 0 \\\\\dfrac{9}{x^2} & = 1 \\\\9 & =x^2\\\\\implies x & = \pm 3\end{aligned}[/tex]

To determine the type of stationary points, input the found values of x into the second derivative.

[tex]f''(3)=-\dfrac{18}{3^3}=-\dfrac{2}{3} < 0 \implies \textsf{maximum}[/tex]

[tex]f''(-3)=-\dfrac{18}{(-3)^3}=\dfrac{2}{3} > 0 \implies \textsf{minimum}[/tex]

Finally, to find the y-values of the stationary points, input the found values of x into the original function:

[tex]f(3)=-3-\dfrac{9}{3}=-6 \implies (3,-6)[/tex]

[tex]f(-3)=-(-3)-\dfrac{9}{-3}=6 \implies (-3,6)[/tex]

Therefore:

[tex]\large \begin{array}{ r | r | c | c }\textsf{At} \: x= & \textsf{and} \: y= & \textsf{sign of} \: f''(x) & \textsf{conclusion}\\ \cline{1-4} -3 & 6 & + & \textsf{minimum} \\ \cline{1-4} 3 & -6 & - & \textsf{maximum}\end{array}[/tex]

Answer: 1296 square inches

Step-by-step explanation:

1 square yard is 36 times 36 square inches

36 times 36 is 1296 square inches

Answer:

70%

Step-by-step explanation:

42/60 x 100 = 70%

The displacement is represented from the starting position to the final position.

Your information is incomplete. Therefore, an overview of displacement will be given. It should be noted that displacement simply means a vector whose length is the shortest distance from the initial position to the final position.

In this case, the displacement will be:

= Final position - Initial position

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Based on the price he purchased the stock and the amount he sold them for, Jeff's annualized HPR on the investment is 2,395%.

First find the net profit:

= (1,000 x 9.26) - (1,000 x 1.89) - 10

= $7,360

The HPR is:

= 7,360 / (1,000 x 1.89)

= 389.4%

The annualized HPR is:

= (1 + 389.4%)² - 1

= 2,395%

Note: Taken to the power of 2 because there are two six-month periods in a year.

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I don't see any green dot, sorry.

Answer:

5/8 of a cup

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = -1/3 or 0

Step-by-step explanation:

Given equation:

We can factor 12x on the L.H.S since 12x is divisible by 36x² and 12x.

[tex]\implies 36x^{2} + 12x = 0[/tex]

[tex]\implies 12x(3x + 1) = 0[/tex]

This can lead to two solutions. I have listed them below!

Divide 12x on both sides to open the parentheses.

[tex]\implies 12x(3x + 1) = 0[/tex]

[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]

Note: zero divided by any non-zero number is 0.

[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]

[tex]\implies 3x + 1 = 0[/tex]

Isolate 3x on one side of the equation.

[tex]\implies 3x + 1 = 0[/tex]

[tex]\implies 3x = 0 - 1[/tex]

[tex]\implies 3x = -1[/tex]

Divide 3 both sides to determine the value of x.

[tex]\implies 3x = -1[/tex]

[tex]\implies \dfrac{3x}{3} = \dfrac{-1}{3}[/tex]

[tex]\implies \boxed{x = \dfrac{-1}{3}}[/tex]

Divide (3x + 1) on both sides to isolate 12x.

[tex]\implies 12x(3x + 1) = 0[/tex]

[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]

Note: zero divided by any non-zero number is 0.

[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]

[tex]\implies 12x = 0[/tex]

Divide 12 both sides to determine the value of x.

[tex]\implies 12x = 0[/tex]

[tex]\implies \dfrac{12x}{12} = \dfrac{0}{12}[/tex]

[tex]\implies \boxed{x = 0}[/tex]

Therefore, the solutions for x are -1/3 or 0.

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Answer:

x = 0  or  x = -1/3

Step-by-step explanation:

In the equation 36x²+12x=0 we have :

36x² = 6x × (6x)

12x = 2 × (6x)

This means that 6x is a common factor,so let’s factor :

36x²+12x=0

⇔ 6x × (6x) + 2 × (6x) = 0

⇔ 6x × (6x + 2) = 0

⇔ 6x = 0  or  6x + 2 = 0

⇔ x = 0  or  x = -2/6

Answer:

10 and please:

please see photo for detailed analysis

Answer:

-4√5/9.

Step-by-step explanation:

if cos x = -2/3 then sin x = √(1 - (-2/3)^2)

= √(5/9)

= √5/3.

(As x is in quadrant 2 sin x is positive).

So:

sin2x = 2 sin x cos x

         = 2 * √5/3 * -2/3

          =  -4/3 * √5/3

          =  -4√5/9.

Answer:

215.625square feet

Step-by-step explanation:

area rectangle = l x w = 7.5x12.5

area triangle = ½ x b x h = ½x 7.5 x 7.5

area of shape = 93.75+93.75+28.125= 215.625square feet

Answer:

x⁴+2x³ +3x²+6x +12r is the answer

Answer:

If you're asking for an equation to use for this problem you can use: 100+5x,

x is the number of weeks.

Step-by-step explanation:

You are starting with $100, and gain 5 dollars every week, so 100+5(#ofweeks)= total amount of money.

Answer:

Inches: 12, 36, 60, 108

Feet: 1, 3, 5, 9

Step-by-step explanation:

Inches: 12, 36, 60, 108

Feet: 1, 3, 5, 9

3*12 = 36

60/12 = 5

108/12 = 9

The correct result of this expression is 144¹²

Potentiation is a multiplication of equal factors. When dividing bases or equal numerator and denominator - just keep the bases and subtract the exponents.

= 144¹⁴ / 144²

= 144¹⁴‐²

= 144¹²

So, the correct answer will be 144¹²

Answer:

D) 471, 473, 475, 477, 479

Step-by-step explanation:

Lets say the three-digit number is ABC.

4 in the hundreds place, thus A = 4

7 in the tens place, thus B = 7.

The number is odd, therefore C = {1, 3, 5, 7, 9}

There are five possible solutions for three-digit number ABC = {471, 473, 475, 477, 479}

Answer: It's 3

The sum of 6 and 3 divided by the difference of 6 minus 3

Step-by-step explanation:

The sum of 6 and 3: 6+3The difference of 6 minus 3: 6-3The sum of 6 and 3 divided by the difference of 6 minus 3:

I hope this helps :) [tex]\frac{6}{3} \frac{6}{3} =\frac{9}{3} =3[/tex]

Multiplication is the process of multiplying. The value of A-BC is equal to -19-17i.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The value of BC is,

BC = (4-2i)×(1+6i)

BC = 4 + 24i - 2i -12i²

BC = 4 + 22i - 12(-1)

BC = 4 + 22i +12

BC = 16 + 22i

Now, the value of A-BC will be equal to,

A-BC = (-3+5i)-(16+22i)

         = -3+5i-16-22i

         = -19 - 17i

Hence, the value of A-BC is equal to -19-17i.

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Top Right

the V shape

Explanation:

ratio of two cubes: 2 : 5

Perimeter of one face of cube: 4 × side

For small cube: 4 × 2 = 8

For big cube: 4 × 5 = 20

Ratio of perimeter of one face: 8 : 20 = 2 : 5

Total surface area of cube: 6a²

For small cube: 6(2)² = 24

For big cube: 6(5)² = 150

Ratio of total surface area: 24 : 150 = 4 : 25

Volume of cube: a³

For small cube: (2)³ = 8

For big cube: (5)³ = 125

Ratio of volume: 8 : 125

#1

Perimeter=4a

Find ratio

Samd

#2

TSA=6a²

#3

Volume=a³

The equation of function g(x) = 2(x -7)² - 1, and the values of h and k are 7 and -1, respectively.

A quadratic equation is the second-order degree algebraic expression in a variable.

The standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The function is given as:

f(x) = 2x² - 1

When the function is translated with 7 units left, the transformation rule is:

(x,y) -> (x + 7, y)

So,

g(x) = 2(x -7)² - 1

A quadratic function is expressed as:

g(x) = a(x -h)² + k

By comparison, the values of h and k are 7 and -1, respectively.

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The result of the square root of the equation A = 121 ft² is √A = 11 ft

Square roots are numbers multiplied by itself to give another number

The equation is given as:

A = 121 ft²

Take the square root of both sides

√A = √121 ft²

Evaluate the square root

√A = 11 ft

Hence, the square root of the equation A = 121 ft² is √A = 11 ft

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Experimental studies were the type of statistical study used by doctors in research on comparing placebo pills with real pills.

The study carried out is not appropriate for the statistical questions that must be answered, because telling patients about the pills introduces bias.

It is a method of scientific research in which there is the introduction of an intervention by the researchers, in which the resulting effects will be objects of study.

Therefore, in an experimental study there will be randomization of participants, who will be randomly grouped into a group to carry out the controlled trial.

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Answer: Experiment

No, because telling patients about the pills introduces bias

Answer:

She can buy 7 pads because 7 x 7 = 49.

Answer:

7

Step-by-step explanation:

7×7=49 and you cant by a portion of a graphing pad sooo the answer is 7

Answer:

To get f⁻¹(x), write f(x) = y = x^(1/3)/3, exchange x and y, so x = y^(1/3)/3, then y = (3x)³, this is just the f⁻¹(x) = (3x)³.

Step-by-step explanation:

Answer:

C. 132

Step-by-step explanation:

330 x 2(books) = 660(total pages)

Multiply. 132(pages?) x 5(days)

= 660

The standard deviation is a measure of a collection of values' variance or dispersion. The standard deviation of the below graph can be drawn as shown below.

The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

The standard deviation of the below graph can be drawn as shown below.

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Answer:

122 feet

Step-by-step explanation:

We know that the length of the park is 65 feet long and the park is rectangular. Therefore we add 65+65 to find the total of both length sides.

65+65=130

Next we subtract 130 from the total amount of 374 to find the total of both width sides.

374-130=244

Now we divide what is left by 2 to find the width of an individual side.

244÷2=122

The width is 122.

Check your answer by inserting the numbers into the equation for perimeter.

P=2W+2L

374=(2×65)+(2×122)

374=130+244

374=374