what is the answer to this?
-2/5-(-9/15)

Answers

Answer 1

Answer:

1/5

Step-by-step explanation:

-2/5 - (-9/15) make like denominators

-6/15 - (-9/15) negative and negative make positive

-6/15 + 9/15 solve

3/15 simplify

1/5


Related Questions

The demolition of a condominium development produced 1,425 cubic meters of construction waste. A truck driver works Monday through Friday from 8 am - 4 pm with no
breaks. The dimensions of the driver's truck they can use to haul waste is 8'2" x 9'3" x 18'6", and one round trip to the landfill and back to the demolition site takes the driver an hour. If the driver starts hauling the construction waste to the landfill Monday (10/7) at 8 am, how many more days of work do they have to completely remove the construction waste from the demolition site at noon on Wednesday (10/9)? MUST SHOW ENGINEERING
METHOD BELOW.
What is your calculated answer most closely to?
a. 7 days
b. 4 days
c. 6 days
d. 9 days

Answers

Answer:

(c) 6 days

Step-by-step explanation:

First, we need to calculate how many trips the truck can make per day. We will assume that the truck is filled to its maximum capacity on each trip.

The volume of the truck can be calculated by multiplying its dimensions:

8.17 feet x 9.25 feet x 18.5 feet = 1,482.51 cubic feet

We need to convert this to cubic meters:

1,482.51 cubic feet x 0.0283 cubic meters per cubic foot = 42.01 cubic meters

Therefore, each round trip can transport 42.01 cubic meters of construction waste.

To calculate how many trips are required to remove all the waste, we divide the total volume of waste by the volume of waste per trip:

1,425 cubic meters / 42.01 cubic meters per trip = 33.89 trips

Since the driver can make one round trip per hour, it will take approximately 34 hours to transport all the waste to the landfill.

If the driver starts on Monday at 8 am, they will have 8 working hours that day, for a total of 8 trips. On Tuesday and Wednesday, they will have 8 working hours each day, for a total of 16 trips. Therefore, by noon on Wednesday, they will have made 24 trips, leaving 9.89 trips remaining.

Since each day the driver can make 8 trips, they will need approximately 2 more days of work to completely remove the construction waste from the demolition site. Therefore, the answer is (c) 6 days.

Note: This calculation assumes that there are no delays or complications in the transportation process, such as traffic or equipment malfunctions, which could affect the actual time required to remove all the waste.

QUICK I’LL MARK YOU BRAINLIEST I NEED HELP SOLVING THIS!!

Answers

To solve for the value of x, x is 2.

What is a simple equation?

A given equation which has one unknown variable whose value is to be determined is called a simple equation. This requires the applications of some mathematical principles to know the value of the unknown.

In the given question, the common factor is 25. so divide by 25 to have;

125x - 150 = 100

divide by the common factor, we have;

125x/25 - 150/25 = 100/25

5x - 6 = 4

So that, solve in the usual manner;

5x = 4 + 6

    = 10

5x = 10

x = 10/5

 = 2

x = 2

After solving the equation, the value of x is 2.

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30m3n4-5m4complete factored form of the polynomial

Answers

Factor of polynomial m are 0,   6n⁴.

What is polynomial in maths?

A polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients, and it only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of the variables. The polynomial x2 4x + 7 is an illustration of one with a single indeterminate x.

= 30m³n⁴ - 5m⁴

= 5m³(6n⁴ - m )

let 5m³(6n⁴ - m ) = 0

       5m³ = 0

         m = 0

 6n⁴ - m = 0

      m =   6n⁴

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why is creativity important in construction scientific questions

Answers

Answer:Creativity is important in constructing scientific questions because the obvious questions do not always lead to interesting results. Scientists need to be able to think outside the box and come up with new and original questions to investigate.

Step-by-step explanation:

Given m \| nm∥n, find the value of x.

Answers

Answer:

x = 15

Step-by-step explanation:

Given m||n, the angles indicated with (6x+20) and (8x-10) are alternate angles and their measures are equal.

So, to find the value of x, we can write the following equation:

8x - 10 = 6x + 20

Transfer like terms to the same side of the equation.

8x - 6x = 20 + 10

Add/subtract terms.

2x = 30

Divide both sides with 2.

x = 15

1. If K(-9,2) lies on the perpendicular bisector of
JL and J is located at (-5.-8), which point could
represent the location of L?
A. (1.-2)
B. (-1,-12)
C. (-3,-2)
D. (-3,-12)

Answers

Answer:

To find the location of point L, we need to use the fact that point K lies on the perpendicular bisector of segment JL.

The perpendicular bisector of a segment is a line that passes through the midpoint of the segment and is perpendicular to the segment.

First, we can find the midpoint of segment JL:

Midpoint of JL = ((-5 + x)/2, (-8 + y)/2)

where (x, y) is the location of point L.

Since point K lies on the perpendicular bisector of JL, the line passing through K and the midpoint of JL will be perpendicular to JL.

The slope of the line passing through K and the midpoint of JL is:

m = (2 - (-8))/(-9 - (-5 + x)/2) = 10/(-9 - (5 - x)/2) = -4/(x - 7)

where we have used the fact that the line passing through K and the midpoint of JL is perpendicular to JL, so its slope is the negative reciprocal of the slope of JL.

Now, we can use the fact that the line passing through K and the midpoint of JL contains point K(-9, 2) to write the equation of the line:

y - 2 = m(x + 9)

Substituting the expression we found for m, we get:

y - 2 = (-4/(x - 7))(x + 9)

Simplifying this equation, we get:

y = -4x/ (x - 7) - 2

Now, we can substitute the x-coordinates of the answer choices to see which one gives us a valid y-coordinate:

A. (1, -2): y = -4(1)/(-6) - 2 = -1 --> Incorrect

B. (-1, -12): y = -4(-1)/(-8) - 2 = 1/2 --> Incorrect

C. (-3, -2): y = -4(-3)/(-10) - 2 = 6/5 --> Incorrect

D. (-3, -12): y = -4(-3)/(-10 - 4) - 2 = -26/7 --> Correct

Therefore, the location of point L is (-3, -12), which is answer choice D.

A textbook store sold a combined total of 220 biology and sociology textbooks in a week. The number of biology textbooks sold was 76 more than the number of sociology textbook sold. How many textbooks of each type are sold.

Answers

Answer:

144

Step-by-step explanation:

we can use subtraction to solve this, subtracting 220 from 76 ends up with 144

You wish to make an investment of $5,400 at 5.6% interest. How much will your investment be worth in 25 years at simple interest, compounded quarterly, and compounded continuously?

simple interest:

compounded quarterly:

compounded continuously:

Answers

Simple interest =  $12,9600

Compounded quarterly = $12,9600

and compounded continuously = $21,686.49

What is simple interest?

Simple interest, often known as the yearly interest rate, is an annual payment based on a percentage of borrowed or saved money.

Here, we have

Given:

Investment = $5,400 at 5.6% interest.

t = 25 years

Final amount at simple interest: F = P(1+rt)

F = 5400(1+0.056×25)

F = 5400(2.4)

F = $12,9600

Final amount at compound interest: F= P(1+r/n)ⁿˣ

compounded quarterly(n=4)

F = P(1+r/n)ⁿˣ

F = 5400(1+0.056/4)⁴⁽²⁵⁾

F = 5400(1.014)¹⁰⁰

F = $21,686.49

Final amount at continuously compound interest: F= Peⁿˣ

F = 5400 e¹°⁴

F = $21,898

Hence,

simple interest =  $12,9600

compounded quarterly = $12,9600

and compounded continuously = $21,686.49

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please help me find this which one

Answers

Answer:

A

Step-by-step explanation:

Self explanatory

Answer: b

Step-by-step explanation: i just did this one on a algebra 1b assignment lol

Evaluate and simplify the expression
when x = 5 and z = 3.
2x - 3(x-z)
z - 1
=
[?]

Answers

Answer:

The value of the given equation is 2.

Step-by-step explanation:

Evaluate and simplify the expression

when x = 5 and z = 3.

[tex]\longrightarrow{\sf{\dfrac{2x - 3(x - z)}{z - 1}}}[/tex]

substituting the given values in the equation :

[tex]\longrightarrow{\sf{\dfrac{2x - 3(x - z)}{z - 1}}}[/tex]

[tex]\longrightarrow{\sf{\dfrac{2 \times 5 - 3(5 - 3)}{3 - 1}}}[/tex]

[tex]\longrightarrow{\sf{\dfrac{10 - 3(5 - 3)}{3 - 1}}}[/tex]

[tex]\longrightarrow{\sf{\dfrac{7(2)}{2}}}[/tex]

[tex]\longrightarrow{\sf{\dfrac{7 \times 2}{2}}}[/tex]

[tex]\longrightarrow{\sf{\dfrac{7 \times \cancel{2}}{\cancel{2}}}}[/tex]

[tex]\longrightarrow{\sf{\underline{\underline{2}}}}[/tex]

Hence, the value of the given equation is 2.

————————————————

In 1940 the average size of a U.S. farm was 174 acres. Let’s say that the standard deviation was 55 acres. Suppose we randomly survey 38 farmers from 1940. The IQR for X is from ___ acres to ___.

Answers

To find the IQR (interquartile range) for X, we first need to find the first and third quartiles.

The first quartile (Q1) is the median of the lower half of the data, which represents the area of farms that are smaller than the median farm size. To find Q1, we can use the formula:

Q1 = median of (n/2) smallest values

where n is the sample size. In this case, n = 38, so we need to find the median of the 19 smallest values. We can do this by arranging the farm sizes in ascending order and finding the middle value:

... (174-55) (174) (174+55) ...

The median of the lower half is 174-55 = 119, so Q1 = 119 acres.

The third quartile (Q3) is the median of the upper half of the data, which represents the area of farms that are larger than the median farm size. To find Q3, we can use the formula:

Q3 = median of (n/2) largest values

We need to find the median of the 19 largest values, which can be arranged as:

... (174+55) (174) (174-55) ...

The median of the upper half is 174+55 = 229, so Q3 = 229 acres.

Now we can find the IQR:

IQR = Q3 - Q1
= 229 - 119
= 110 acres

Therefore, the IQR for X is from 119 acres to 229 acres.

I don’t understand can someone help me please!

Answers

Answer: y = -|x| - 3

Step-by-step explanation:

It's an absolute value function that has been shifted down 3 and has been reflected

y = -|x| - 3

2a. Find the volume of the model of Saturn.
2
Eliza made sphere-shaped
models of the Earth and Saturn
out of playdough for a science
project. The model of Earth has
a diameter of 4.8 cm and the
model of Saturn has a diameter
of 45.6 cm.

Answers

The volume of the model of Saturn is approximately 4,845.6 cm³.

A quadrilateral is shown below.
a) Which one of the words below describes
this shape?
Trapezium
Parallelogram Kite
b) Work out the size of angle y.
Rhombus
36°
133⁰
Rectangle
Y
#
Not drawn accurately


PLEASE DO AND DO MY ATHER QUESTIONS

Answers

Answer:

y = (360 - 117 - 75) / 2 = 84 degrees

Step-by-step explanation:

a) The shape shown in the image could be described as a kite.

b) Since the opposite angles in a kite are equal, we can find the measure of angle y by subtracting the measures of angles x and z from 360 degrees and then dividing by 2, since the sum of the interior angles of a quadrilateral is always 360 degrees. Thus, we have:

y = (360 - x - z) / 2

We can see from the figure that angle x has a measure of 117 degrees, since it is opposite to angle y in one of the congruent triangles formed by the diagonal of the kite. Similarly, angle z has a measure of 75 degrees, since it is opposite to angle y in the other congruent triangle. Substituting these values into the above equation, we get:

y = (360 - 117 - 75) / 2 = 84 degrees

Therefore, the measure of angle y is 84 degrees.

We can see that opposite sides of the quadrilateral are parallel and equal in length, which indicates that the shape is a parallelogram.

Work out the size of angle y?

To find the size of angle y, we can use the fact that opposite angles in a parallelogram are equal. Let's call the angle at the bottom left corner of the parallelogram "x". Then, we know that:

x + y = 180° (because the two angles form a straight line)

We also know that the angle at the top left corner of the parallelogram is equal to x (because opposite angles in a parallelogram are equal). And since the four angles of a quadrilateral add up to 360°, we can write:

2x + 2y = 360°

Simplifying this equation gives:

x + y = 180°

x + y = 180° - x + y

2x = 180° - x

3x = 180°

x = 60°

Now we can substitute x = 60° into the equation x + y = 180° to solve for y:

60° + y = 180°

y = 180° - 60°

y = 120°

Therefore, the size of angle y is 120°.

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You have also decided to put a pool in your backyard, and the builder has shown you the blue print below that shows the pool from above.

Answers

Thus, the missing side lengths are :x = 9 feet: y = 6 feet:

Explain about the blue print:

A blueprint is a collection of two-dimensional drawings that shows exactly how an architect intends a project to look. Typically, a building's dimensions, materials, and precise location of every component are described in the blueprints.

Given that-

The blue print for the pool of the backyard is prepared which is shown in given diagram.

The given figure consists of the different length measured in feet.To find the each of the missing values subtract the common length from the total length.

A figure's longest side is its length, its shortest side is its width, and its highest point is its height.

For the given dimensions in the diagram:

x = 11 + 3 - 5 = 9 ft

y = 8 + 4 - 6 = 6  ft

Thus, the missing side lengths are :x = 9 feet: y = 6 feet:

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Complete question:

You have also decided to put a pool in your backyard, and the builder has shown you the blue print below that shows the pool from above.

Determine the missing side lengths:x = __ feet: y = ___feet:

Diagram for the question is attached.

Y=x^2-4x+8 write the equation in vertex form.

Answers

Answer:

y = (x - 2)² + 4

Step-by-step explanation:

y = x² - 4x + 8

using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 + 8

  = (x - 2)² + 4 ← in vertex form

helpp pls ixl help tyyyy

Answers

Answer: Probability: 1.3%

Totals, 51, 155. 0 Accounts: 18. 1 Account: 24. 2 Accounts:18. 3 or more: 42.

Which table represents a nonlinear function?

Answers

Answer:

D)

Step-by-step explanation:

A cold front moves through the area quickly. In the morning, the temperature is 82
degrees F and after 6 hours the temperature has dropped to 58 degrees F. If the
temperature dropped at a steady rate, how much did it drop each hour?

Answers

The temperature dropped by 4 degrees Fahrenheit per hour during the 6-hour period.

What is the drop in temperature?

The temperature drop each hour is calculated as follows;

temperature drop per hour = (change in temperature) / (time elapsed)

change in temperature = final temperature - initial temperature

change in temperature = 58 degrees F - 82 degrees F

change in temperature = -24 degrees F

The time elapsed =  6 hours

The change in temperature or drop in temperature is calculated as;

temperature drop per hour = (-24 degrees F) / (6 hours)

temperature drop per hour = -4 degrees F/hour

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Assume a > 0, b > 0 and 1 < ax < bx for all x < 0. Which of the following are true?

a. a < b < 1

b. 1 < a < b

c. a < 1 < b

d. b < a < 1

e. b < 1 < a

Explain how you got to the answer.

Answers

Answer:

there is somthing wrong of what you ask

because it is impossible to be thet a>0 and b>0 and x<0 and still ax>1 or bx>1

A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°

Answers

Statements which  are always true regarding the diagram are

1. m∠5 + m∠6 = 180° ...........Parallel Pair

2. External angle of a triangle is equal to 2+3 = 6.

3. Triangle Sum Property: m2 + m3 + m5 = 180°

Think of ABC as having outside angles.

∠ 1, ∠ 4 , and ∠ 6

Triangle's exterior angle property:

A triangle's exterior angle equals the sum of its internal angles.

Exterior 1 has the following

The exterior angle of a triangle is given by the formula: 1 = 5 + 3.

Similarly,

Exterior 4 consists of

∠ 4 = ∠ 5 + ∠ 2.................Triangle's Exterior Angle

Similarly,

Exterior 6 consists of

The exterior angle of a triangle is given by the formula: 6 = 2 + 3

Property Triangle Sum:

The total of the angles in a triangle equals 180°.

∴ m∠2 + m∠3 + m∠5 = 180° .....Sum Triangle Property

Linear Pair:

The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

∴ m∠5 + m∠6 = 180°  ...........Linear Pair

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The 9th grade students are taking a field trip. There are 380 ninth graders and a bus can seat up to 60 students. Write a piecewise function to represent the number of buses
needed, y, if x students attend the field trip.

Answers

Hence, the piece-wise function to  represent the number of  buses required to  transport 380, 9th graders is :

f(x) = { 1, if 0 < 380 ≤60x

          2, if 60x < 380≤120x

          3, if 120x < 380≤180x

          4, if 180x < 380 ≤ 240x

          5, if 240x < 380≤300x

          6, if 300x < 380 ≤ 360x

          7, if 360x < 380 }

What is the piece-wise function?

In mathematics, a piece-wise-defined function is a function defined by multiple sub-functions, where each sub-function applies to a different  interval in the domain. Piece-wise definition is actually a way of expressing  the function, rather than a characteristic of the function itself.

How do you compute the piece-wise function?

Let 'x' be the  number of buses required to transport all the 9th graders. We can write the function in two parts, for 1st part  when the number of  students is less than or equal to 60 ( that is the capacity of one bus)  and for 2nd part  when it is greater than 60.

For x buses, each with a capacity of 60, we have:

If  0 < 380 ≤ 60 x,  then x = 1 bus  is needed to transport all students.If  60 x < 380 ≤ 120 x,  then x = 2 buses  are needed  to transport  all students.If  120 x < 380≤ 180 x,  then x = 3 buses are needed  to transport  all students.If  180 x < 380≤240 x,  then x = 4 buses  are needed  to transport  all students.If  240 x < 380≤300 x,  then x = 5 buses  are needed  to transport all students.If  300 x < 380 ≤ 360 x,  then x = 6 buses  are needed  to transport  all students.If  360 x < 380, then x = 7 buses  are  needed  to transport  all  students.

Therefore,  the piece-wise function to  represent the number of  buses required to  transport 380, 9th graders is :

f(x) = { 1, if 0 < 380 ≤60x

          2, if 60x < 380≤120x

          3, if 120x < 380≤180x

          4, if 180x < 380 ≤ 240x

          5, if 240x < 380≤300x

          6, if 300x < 380 ≤ 360x

          7, if 360x < 380 }

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Teuta bought a car. Its price fell by 23% at the end of the first year. At the end of the first year, her car cost 6575.8 eu How much did Teuta buy the car?​

Answers

Teuta bought the car for 8545.71 eu.

What is percent in math?

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

Let's assume that the initial price of the car is x.

After a 23% drop in price, the new price of the car is: x -0.23x = 0.77x

We know that the new price after the first year is 6575.8 eu: 0.77x = 6575.8

Solving for x, we get: x = 6575.8/0.77 8545.71

Therefore, Teuta bought the car for approximately 8545.71 eu.

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ill in the blanks below with the correct units.
(a) Keith's house is about 4?
(b) The can of soda held about 350 ?
✓ from school.
(c) Deandre bought a candy bar. Its mass was about 60?

Answers

Answer:

a. km

b.350 ml

c.60 gr

Step-by-step explanation:

the units may be bigger though to whats the options is

The diagram shows a triangle.
31° / 6x / x+16°

What is the value of x?

Answers

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Brent is designing a poster that has an area of 1 square foot. He is going to paste a photo collage on a section of the poster that is 1/3 foot wide and 3/5 foot long. What part of a square foot will the photo collage cover?

Show your work.

Answers

The part of the foot will the photo collage cover is 1/5 square foot

How to determine the photo collage cover?

Recall that an area of a lawn is an area of soil-covered land planted with grasses and other durable plants such as clover which are maintained at a short height with a lawnmower (or sometimes grazing animals) and used for aesthetic and/or recreational purposes

The given parameters are

Area of the Poster =1 sq.ft.

The collage will cover a part of the poster that is

1/5ft wide and 3/5ft long

Area of the Photo Collage Section

=Length X Width

= 1/3 * 3/5

= 3/15 ft = 1/5foot

In conclusion,  the photo cover will cover 1/5  of a square foot

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What is the effective annual rate of an account that pays interest at the nominal rate of
7% per year, compounded daily? Compounded hourly?

Answers

Answer:

To find the effective annual rate (EAR) of an account that pays interest at the nominal rate of 7% per year, compounded daily, we can use the following formula:

EAR = (1 + r/n)^n - 1

where r is the nominal annual interest rate (expressed as a decimal), and n is the number of times the interest is compounded in a year.

For daily compounding, n = 365 (since there are 365 days in a year), so we have:

EAR = (1 + 0.07/365)^365 - 1 = 0.0725 or 7.25%

To find the effective annual rate for hourly compounding, we need to adjust the value of n to account for the fact that interest is compounded more frequently. There are 365 days * 24 hours = 8,760 hours in a year, so we can use n = 8,760:

EAR = (1 + 0.07/8760)^8760 - 1 ≈ 0.0727 or 7.27%

Therefore, the effective annual rate for hourly compounding is approximately 7.27%.

HELP MEEEEE PLEASEE PLEASE PLEASE

Answers

Answer:

2 Batch Of Cakes

Step-by-step explanation:

See:

Recipe Requirements for 1 Batch:

2 cups of Flour

1/2 cup of Butter

3/4 cup of Sugar

She Has:

8 Cups of Flour

2 Cups of Butter

2 Cups of Sugar

1 batch:

Ingredient : Required - Present

Flour : 2 Cups - 8 Cups

Butter : 50% of 1 Cup - 2 Cups

Sugar : 75% of 1 Cup - 2Cups

Left ingredients:

Flour : 6 Cups

Butter : 1.5 Cups

Sugar : 1.25 Cups

2 batch:

Ingredient : Required - Present

Flour : 2 Cups - 6 Cups

Butter : 50% of 1 Cup - 1.5 Cups

Sugar : 75% of 1 Cup - 1.25 Cups

Left ingredients:

Flour : 4 Cups

Butter : 1 Cup

Sugar : 0.5 ( 1/2 ) Cups

3 Batch:

We Cannot Make The 3rd Batch as There is no sufficient Sugar

Write (x - 3)(x + 6) in vertex form (y = (x - h)2 + k). Hint: Expand then complete the square.

Answers

(x - 3)(x + 6) can be written in vertex form as y = (x - (-3/2))² - 20.25

What is the vertex form?

The vertex form of a quadratic function is a way of writing a quadratic function in form f(x) = a(x - h)² + k where (h, k) is the vertex of the parabola, a is a coefficient that determines the shape and direction of the parabola, and x is the input variable.

Expanding (x - 3)(x + 6), we get:

x² + 6x - 3x - 18 = x² + 3x - 18

To write this expression in vertex form, we need to complete the square. To do this, we add and subtract (3/2)² = 2.25 inside the parentheses:

x² + 3x - 18 + 2.25 - 2.25 = (x² + 3x + 2.25) - 20.25

Now, we can write the expression in vertex form:

y = (x - (-3/2))² - 20.25

Therefore, (x - 3)(x + 6) can be written in vertex form as:

y = (x - (-3/2))² - 20.25

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This year, there are eight freshmen, nine sophomores, eight juniors, and ten seniors are eligible to be on a committee. In how many ways can a dance committee of 8 students be chosen?

Answers

To solve this problem, we can use the combination formula, which is:

n C r = n! / (r! * (n-r)!)

where n is the total number of students eligible for the committee, r is the number of students we want to choose, and ! denotes the factorial function.

In this case, we want to choose a committee of 8 students from a pool of 8 freshmen, 9 sophomores, 8 juniors, and 10 seniors. So, the total number of students eligible for the committee is:

n = 8 + 9 + 8 + 10 = 35

We want to choose a committee of 8 students, so r = 8. Therefore, the number of ways we can choose a committee of 8 students is:

35 C 8 = 35! / (8! * (35-8)!) = 35! / (8! * 27!) ≈ 1,121,112 ways

So there are approximately 1,121,112 ways to choose a dance committee of 8 students from the eligible pool.

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