I need some help please. I don't understand this. :)

Answer:

The nth term = n^2 - 2n - 3.

Step-by-step explanation:

Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c

Example 1

Write down the nth term of this quadratic number sequence.

-3, 8, 23, 42, 65...

Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.

Sequence = -3, 8, 23, 42, 65

1st difference = 11,15,19,23

2nd difference = 4,4,4,4

Step 2: If you divide the second difference by 2, you will get the value of a.

4 ÷ 2 = 2

So the first term of the nth term is 2n²

Step 3: Next, substitute the number 1 to 5 into 2n².

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Differences = -5,0,5,10,15

Now the nth term of these differences (-5,0,5,10,15) is 5n -10.

So b = 5 and c = -10.

Step 5: Write down your final answer in the form an² + bn + c.

2n² + 5n -10

Example 2

Write down the nth term of this quadratic number sequence.

9, 28, 57, 96, 145...

Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.

Sequence = 9, 28, 57, 96, 145...

1st differences = 19,29,39,49

2nd differences = 10,10,10

Step 2: If you divide the second difference by 2, you will get the value of a.

10 ÷ 2 = 5

So the first term of the nth term is 5n²

Step 3: Next, substitute the number 1 to 5 into 5n².

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Differences = 4,8,12,16,20

Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.

Step 5: Write down your final answer in the form an² + bn + c.

5n² + 4n

Answer:

here is your answer for the question

Answer:

Partially. Your answer to a is correct but you used the wrong number for b.

Step-by-step explanation:

The amount of money you earn (profit) is taken after all of your expenses. You  correctly calculated that Leo made $5000 in profit. Divide that by 40 instead of $12850. (answer: $125/hour)

#2

#3

#4

#5

#6

#7

Step-by-step explanation:

Missing reasons:

Answer:

b

Step-by-step explanation:

Answer: 6/40 = 3/20

Step-by-step explanation:

The experimental probability is the number of times the desired result was obtained over the number of times the experiment was carried out:

P= Time the event occurs/ Total number of trials

In this case the event we are looking for is rolling a 3 on the number cube. The total number of trials is: 40

because the student rolls the cube 40 times. and the time that he got the number 3 (the times the desired event occurs) is: 6

because he rolls a 3 on the number cube 6 times. Thus our experimental probability to roll a 3 is: P = 6/40

Answer:

30 5/6

Step-by-step explanation:

185 = 30x6 + 5

Answer:

30 5/6

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

Answer:

A. 1

B. -1

C. 5

Step-by-step explanation:

A. Using the Formula, we get u sub 2 = 9-9+1, which is just 1

B. Using the Formula, we get u sub 3 = 1-3+1, which is equal to -1

C. Using the Formula, we get u sub 4 = 1-(-3)+1, which is just 1+3+1 = 5

Answer:

y =7x + 17

Step-by-step explanation:

7x-y=8

y = 7x - 8......convert to slope intercept form

m = 7

parallel lines have the same slope

put in point slope form using the points of the equation of the line that you want to find

y - 3 = 7(x+2)

y -3 = 7x + 14.........distribute

y = 7x +14 + 3.........add 3 to both sides

y = 7x +17................simplify

Answer:

The answer is $28.93.

Step-by-step explanation:

Using the butterfly method I got $28.93 as my answer.

$68.89 x 42%= $2,893.38

$2,893.38÷100%= $28.9338

$28.9338 rounded to the nearest hundredth is $28.93. I hope this helps.

Answer:

answer is D.

68.89 x .42=  $28

Step-by-step explanation:

to get your answer you multiply the numbers.

$68.89 x .42 = $28

your answer is $28.

hope this helps!

please make me brainliest !

Answer:

Step-by-step explanation:

1) The sun, the moon, windows, drawings, this: . And much more…

2) For example, how far you have to walk around a track, how big the moon is, how much ribbon you need to wrap around a circle present…

The number of box is an illustration of proportions

8 boxes must be shown on the grid

The proportion is given as:

[tex]\mathbf{\frac{3}{8} = 18\ eggs}[/tex]

The above proportion means that:

3/8 of the total number of eggs is 18

Let the total number of eggs, be x

So, we have:

[tex]\mathbf{\frac{3}{8} \times x= 18\ eggs}[/tex]

Express 3/8 as a decimal

[tex]\mathbf{0.375 \times x= 18\ eggs}[/tex]

Divide both sides by 0.375

[tex]\mathbf{x= \frac{18}{0.375 }\ eggs}[/tex]

[tex]\mathbf{x= 48\ eggs}[/tex]

This means that, the total number of eggs is 48, and 8 boxes must be shown on the grid

Read more about grids and proportions at:

https://brainly.com/question/23487577

Answer:

a d

Step-by-step explanation:

Answer:

When the radius is changed, the constant term (r2) in the equation changes—it becomes bigger as the radius becomes bigger. The term r is always positive because it denotes the length of the radius, which is a distance and not a position or location.

Step-by-step explanation:

Answer:

9/40

i think it may be like this

Step-by-step explanation:

3/5.3/8

9/40

Answer:

134

Step-by-step explanation:

Answer:

A number that is irrational are numbers that cannot be expressed as a terminating or repeating decimals or in the form (a/b) where a and b are integer and b does NOT equal 0.

An example of an irration number is the square root of 10, or pie because it is a infinited number

I hope this helps!

Answer:

the irrational is kind of a part

of the math that includes rational and

irrational numbers

Answer:

y=20x

Step-by-step explanation:

You have to find the cost by dividing the amount of money by the amount of students, to see house much each student paid. You are finding the unit price. Which is 20 because...

1.580/79=20

In conclusion,

Each student paid $20

Answer:

6

Step-by-step explanation:

is    %

of   100

24  40

x    100

2400/40 equals 60

60 divided by 10 equals 6

An airline ticket costs $40. The price is increased by 200 percent. The absolute increase is $80.

A percentage is a number or ratio that can be expressed as a fraction of 100.

Cost of airline ticket = $40.

Increase in price = 200% of $40

Absolute increase = [tex]\frac{200}{100}* 40 = 80[/tex]

Learn more about percentage here

https://brainly.com/question/13450942

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Answer:

16 tiles

Step-by-step explanation:

If the tile is a 1/4 foot wide, then 4 will fit in a foot, and if theres 4 feet to fill, 16 tiles will fit.

If you wanted to write an equation to solve it:

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

where x is the number of tiles that will fit. This equation reads "1/4 foot times the number of tiles = 4 feet"

[tex]\frac{x}{4} =4\\x=4\times4\\x=16[/tex]

Answer:

-m

Step-by-step explanation:

2m+3m+(-6m)=2m+3m-6m

                      =5m-6m

                      =-m

Answer:

-m

Step-by-step explanation:

2m+3m+(-6m)​

Remove parentheses.

2m+3m-6m

Add and subtract.

-1m or -m

Hope this helps :)

Answer:

6 is the Value of the Expression.

Step-by-step explanation:

4 a⁴ - 2 b² + 40 :

4 * ( 2⁴) - 2 * ( 7²) + 40 =

4 * 16 - 2 * 49 + 40 =

64 - 98 + 40 =

-34 + 40 =

+ 6

Hopefully this helps.

The point on the line where the simplified unit rate or slope is True will be the opposite vertex of a slope triangle if one vertex is at (0,0).

A slope triangle is a hypothetical triangle that aids in determining a line's or line segment's slope. The line whose slope you are interested in learning is the triangle's hypotenuse (the diagonal). The "rise" and "run" terms used in the slope formula are the two "legs" of the triangle. Rise/run is a slope.

The slope of a triangle with a slope is positive if the hypotenuse slopes uphill from left to right. The slope of a slope triangle is negative if the hypotenuse slopes downward from left to right.

This is the Greek letter delta, which stands for change. It can be applied to math or simply to make a statement shorter.

To learn more about Slope triangle refer to:

https://brainly.com/question/24820338

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Answer:

C = $5.00

Step-by-step explanation:

C = $5.00 because IF Erika gets 1 pound of apples they would cost $5.00

  $3.50

+ $1.50

______

$5.00

I am so srry for not being specific.

Answer:24

Step-by-step explanation: