Let f(x)=x^2−2bx, where b is a constant. What can you say about the zeros, y-intercept, axis of symmetry and extreme value of f(x) in terms of b? Justify your answers.(4 points)

30 points and brainlyist

the square root of 598 is 24.4540385

Hey there!

The answer is 72 - 2n.

"twice a number" represents a number multiplied by 2. So we have "2n"

"decreased by twice a number" would mean subtracting twice a number, or subtracting "2n".

"72 decreased by" means that we are subtracting the number FROM 72, so we get "72 - 2n".

Have a super awesome day! :)

Answer:

500500

Step-by-step explanation:

intergers are whole numbers which are not fractions

Answer:

121

Step-by-step explanation:

firstly you arrange the numbers in ascending order the number in the middle is considered to be the median

Answer:

\(\frac{19}{14}x + \frac{97}{56}\) =

^^^hope this helps! :)

Answer:

x = \(\sqrt{116}\)

Step-by-step explanation:

Remember the pythagorean theorem is A^2 + B^2 = C^2\

C is the hypotenuse which you are looking for.

SO

100 + 16 = \(\sqrt{116}\)

ANSWER \(\sqrt{116}\) or about 10.7703296143

Answer:

63

Step-by-step explanation:

Using a calculator, the value of  csc (203°) is -1.086

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Since csc (203°) = 1/[sin (203°)]

Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:

1/[sin (203°)] = -1.086

Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.

Thus, the value of  csc (203°) is -1.086

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The density of the small rocks is 21 rocks per square feet.

To find the density of rocks per square feet, we need to take the quotient between the total number of rocks and the area covered.

We know that the patio has an area of 200 square feet, and the total number of rocks is 4200, then here we only need to take the quotient between these two values.

Density = (4200 rocks)/(200 ft²) =  21 rocks per ft²

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Complete question:

"Jen's patio has an area of 200 square feet. She is covering the area with 4200 small rocks.

What is the density of the rocks on the patio?"

Step-by-step explanation:

Traders have invested $ 100,000 in the Peace Garden Center to boost the capital Mogadishu and make a profit. looga farm income to make people come to the door to take the free tickets for different values $ 0.8 adults and 0.6 children. As many as 150 tickets were sold on Friday for $ 102. produce more child tickets than adult tickets?

Answer:

$25.65

which agrees with answer D

Step-by-step explanation:

14% of $22.50 is calculated using the decimal form (0.14) of the percent as shown below:

0.14 * 22.50 =  3.15

Then the new hourly wage will be this value added to the previous wage:

$22.50 + $3.15 = $25.65

which agrees with answer D

The number of different license plates that can be made will be 260⁴.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

A license plate is to have the following form: 4 letters followed by 4 numbers.

We know that the total number of letters will be 26 (A to Z) and the total basic numbers will be 10 (0, 1, ..., 9).

The number of different license plates that can be made will be

⇒ 26 x 26 x 26 x 26 x 10 x 10 x 10 x 10

⇒ 26⁴ x 10⁴

⇒ (26 x 10)⁴

⇒ 260⁴

The number of different license plates that can be made will be 260⁴.

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Answer:

j

Step-by-step explanation:

The value of angle x is 133 degree

And the equation of line be of the form,

⇒  y - y₁ = 133(x - x₁)

In the given line,

one angle is of 47 degree

And other is x degree

To find the value of x,

Since we know that,

The angle  of line is 180 degree.

Therefore,

⇒ x + 47 = 180

⇒         x = 133 degree

Therefore slope of this line be 133 degree

Now let this line is  passing through (x₁, y₁)

Hence,

The equation of  line be,

⇒ y - y₁ = (slope)(x - x₁)

⇒  y - y₁ = 133(x - x₁)

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= 63 / 4

= 15.75 points per game.

Answer:

15.75

Step-by-step explanation:

63÷4=15.75

hope you understand

Answer:

5

Step-by-step explanation:

Answer:

0.161459

Step-by-step explanation:

for an approximate result, divide the area value by 929

Answer:

0.16

Step-by-step explanation:

\(150~\div~929\) ≈ \(0.16\)

The distance of the ball away from Amaya at Maximum height is; 18 feet

Given the projectile equation as;

y = -0.02(x - 18)² + 12 to model the horizontal distance of a ball from Amaya's position.

We want to find out how far away is the ball from Amaya when it is at its maximum​ height.

The model takes the form of a parabolic equation and as such, the maximum height is obtained at the Vertex :

The general vertex form of the equation of a parabola is;

y = a(x - h)² + k

With maximum height obtained at the Vertex (h, k)

From the model given, we can say that;

Coordinate at the Vertex : (h, k) = (18, 12)

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Complete question is;

Amaya is standing 30 ft from a volleyball net. The net is 8 ft high. Amaya serves the ball. The path of the ball is modeled by the equation y = -0.02(x - 18)² + 12​, where x is the​ ball's horizontal distance in feet from​ Amaya's position and y is the distance in feet from the ground to the ball. a. How far away is the ball from Amaya when it is at its maximum​ height?

Answer:

6x³

Step-by-step explanation:

X x X = x² + 4x + 2x = 6x³

a. The two numbers whose product is 24 and whose sum is 14 are 6 and 4

b. 14x = 6x + 8x

c. 8x²2² + 6x + 8x + 3

=8x²2² + (6x + 8x) + 3

=8x²2² + 14x + 3

The trinomial 8x²2² + 14x + 3 can be factored by grouping as (8x²2² + 14x) + 3

Answer:

y = -5x + 4

Step-by-step explanation:

y=Mx+b

Step-by-step explanation:

log5(2)+log5(x)-log5(x-1)=log5(3)

log5(2x) = log5(3)+log5(x-1)

log5(2x) = log5(3Xx-1)

2x = 3x-3

x= 3

Answer:

A: Find the area of the outer trapezoid and then subtract the area of the inner trapezoid

B: 15 square units

Step-by-step explanation:

A:

Find the area of the outer trapezoid and then subtract the area of the inner trapezoid

(because if the inner trapezoid wasn't there and you were looking for the shaded region, you'd find the area of the outer trapezoid. since you have to take away the area the inner trapezoid takes up, the shaded region = area of outer trapezoid - area of inner trapezoid)

B

The area of a trapezoid is ((a+b)/2)h, where a is the top or the trapezoid, b is the bottom and h is the height.

The top of the outer trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the outer trapezoid ranges from 2 to 8, so b=8-2=6. The height of the outer trapezoid ranges from 2 to 8, so h=8-2=6.

The area of the outer trapezoid = ((a+b)/2)h = ((2+6)/2)(6) = 4(6) = 24

The top of the inner trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the inner trapezoid ranges from 3 to 7, so b=7-3=4. The height of the inner trapezoid ranges from 3 to 6, so h=6-3=3.

The area of the inner trapezoid = ((a+b)/2)h = ((2+4)/2)(3) = 3(3) = 9

The are of the shaded region = the area of the outer trapezoid - the area of the inner trapezoid = 24 - 9 = 15 square units

Answer:

90

Step-by-step explanation:

150 x 0.6 = 90

or

150/10 = 15

15 x 6 = 90

Answer:90 is correct

Step-by-step explanation:

Answer:

\(x = 12\)

Step-by-step explanation:

Perimeter of a square:

The perimeter of a square of side x is given by:

\(P_s = 4x\)

Perimeter of a rectangle:

The perimeter of a rectangle of length l and width w is given by:

\(P_r = 2(l + w)\)

The length of the sides of a square measure 2x-5.

This means that the perimeter of the square is:

\(P_s = 4(2x - 5) = 8x - 20\)

The length of a rectangle measures 2x, and the width measures x + 2.

This means that the perimeter of the rectangle is:

\(P_r = 2(2x + x + 2) = 2(3x + 2) = 6x + 4\)

For what value of x is the perimeter of the square the same as the perimeter of the rectangle?

This is x for which:

\(P_s = P_r\)

So

\(8x - 20 = 6x + 4\)

\(8x - 6x = 20 + 4\)

\(2x = 24\)

\(x = \frac{24}{2}\)

\(x = 12\)

Answer:

6789

Step-by-step explanation:

The Total length of two sides based on the information will be 7x²+2x+1

The Length of the third side will be 4 x³-10x²-7.

Total length of two sides= Side 1 + Side 2

= 8x² − 5x − 2+ 7x − x²+ 3

= 8x²-x²-5x+7x-2+3

= 7x²+2x+1

Length of the third side = Perimeter - Total length of two sides

Length of the third side=4x³ − 3x² + 2x − 6-(7x²+2x+1)

= 4x³ − 3x² + 2x − 6-7x²-2x-1

= 4 x³-10x²-7

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To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

You are requested to provide an estimate of the building's total window cleaning expense so that the board can make a decision.

Some window cleaners charge by the hour, though the majority bill by the square foot or the number of windows. For home work, professionals bill between $40 and $75 per hour.

Due of the increased safety dangers in high-rises, they usually charge $85 per hour. Many cleaners may charge by the pane if the house is medium-sized, anything from $2 to $7 for each one or more for larger windows. It's typical to charge an hourly rate in large homes when counting each window by itself would take too long or be impossible.

Window cleaning costs typically run between $40 and $75 per hour. If the house is medium-sized, many cleaners may charge per the pane; for larger windows, they may charge anywhere from $2 to $7 for each one or more.

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You are requested to provide an estimate of the building's total window cleaning expense so that the board can make a decision.

Some window cleaners charge by the hour, though the majority bill by the square foot or the number of windows. For home work, professionals bill between $40 and $75 per hour.

Due of the increased safety dangers in high-rises, they usually charge $85 per hour. Many cleaners may charge by the pane if the house is medium-sized, anything from $2 to $7 for each one or more for larger windows. It's typical to charge an hourly rate in large homes when counting each window by itself would take too long or be impossible.

Window cleaning costs typically run between $40 and $75 per hour. If the house is medium-sized, many cleaners may charge per the pane; for larger windows, they may charge anywhere from $2 to $7 for each one or more.

To learn more about window cleaning expense can make a decision refer to:

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