Describe the slope of the line.

Answer:

[tex]n^2 -3n - 6[/tex]

Step-by-step explanation:

Looking at the image attached, you must first work out the difference between each term. This is +0, +2, +4, +6, +8, +10 (shown in orange).

Because you now have a linear sequence, the difference is now the same each time. This is +2 (shown in blue).

Because the original sequence is a quadratic, you have to halve the second difference (the +2). This means that the value of [tex]n^2[/tex] is 1, so 1[tex]n^2[/tex] or just [tex]n^2[/tex] .

If you write out the values of [tex]n^2[/tex], you can work out how much more you need to add or take away. For example, take the first three terms in the sequence.

n = 1, 2, 3

x = -8, -8, -6

[tex]n^2[/tex] = 1, 4, 9

Work out the difference between [tex]n^2[/tex] and x:

1 - -8 = 9

4 - -8 = 12

9 - -6 = 15

This gives you yet another linear sequence, 9, 12, 15.

Working out the formula for this, the difference is 3 each time, so it is 3n. The first value of n is 1, so 3n is 1. The difference is 6, so the formula for this linear sequence is 3n + 6.

Because [tex]n^2[/tex] is greater than x, you need to take 3n + 6 away from [tex]n^2[/tex].

This gives [tex]n^2[/tex] - (3n+6), so the final answer is:

[tex]n^2[/tex] - 3n - 6.

Answer:

Given:In quadrilateral WXYZ , and bisect each other at point A.

Prove: Quadrilateral WXYZ is a parallelogram.

Statement

Reason

1. and bisect each other. given

2. WA = YA

XA = ZA

definition of bisection

3. m∠YAZ = m∠XAW

Vertical Angles Theorem

4.

SAS criterion for congruence

5. ∠ YWX ≅ ∠WYZ

Corresponding angles of congruent triangles are congruent.

6. ||

converse of Alternate Interior Angles Theorem

7. m∠XAY = m∠ZAW

Vertical Angles Theorem

8. ∆XAY ≅ ∆ZAW

SAS criterion for congruence

9. ∠XZW ≅ ∠ZXY

Corresponding angles of congruent triangles are congruent.

10. ||

converse of Alternate Interior Angles Theorem

11. Quadrilateral WXYZ is a

parallelogram.

definition of parallelogramTriangles can be similar or congruent. Similar triangles will have congruent angles but sides of different lengths. Congruent triangles will have completely matching angles and sides. Their interior angles and sides will be congruent. Testing to see if triangles are congruent involves three postulates, abbreviated SAS, ASA, and SSS.

The annual percentage rate is the interest rate for payment for the car

loan.

The given parameters are;

The amount of loan Terry and Jim have = $26,004

The annual percentage rate (APR) on one loan = 3.1 %

The annual percentage rate (APR) on the other loan = 7 %

Total interest paid after one year = $1,481.25

Required:

The amount owed on each car

Solution:

Let X represent the loan, with 3.1% APR, we have;

The other loan with 7% APR = 26,004 - X

Therefore;

0.031·X + 0.07·(26,004 - X) = 1,481.25

0.031·X + 1,820.28 - 0.07·X = 1,481.25

1,820.28 - 1,481.25 = 0.07·X - 0.031·X = 0.039·X

339.03 = 0.039·X

Therefore;

Therefore;

The amount owed on the car with an APR of 7% ≈ 26,004 - 8693.08 =

17310.92.

Learn more here:

https://brainly.com/question/15400760

Answer:

Step-by-step explanation:

y =  bushels of carrots picked

6 = bushels of carrots per hour (rate of change)

x = time worked at picking

2 = initial number of bushels picked before time starts.

My original answer was deleted for "Violating community standards" but I have no idea why my answer ran afoul of the moderator's interpretation of the standard. Also I see no way to protest the action or to learn from my "mistake".

Answer:

not enough information.

Step-by-step explanation:

We know one side and the vertical angle.  We do not have enough information to determine if the triangles are congruent.

Answer:

27pi in^3

Step-by-step explanation:

the volume for a cone is (1/3)pi*r^2*h. r=3in, h=9in. so the volume is (1/3)*pi*3^2*9=27pi

Answer:

65

Step-by-step explanation:

5(6 + 7)

Distribute 5 to 6 and 7.

(5x6)+(5x7)

Multiply.

30+35

Add.

65

Hope this helps :)

Step-by-step explanation:

Distance = 154 miles .

Time = 5 ½ hrs .

We know ,

Speed = s / t

v = 154 mi/ 5.5 hrs = 28 mi / hr

Answer:

B=30

Step-by-step explanation:

Like and give 5 star rating

Answer:

b = 30

Step-by-step explanation:

all terms in the first equation will be three times the related terms in the second equation.

Then the two equation describe the same infinite line and any x,y pair that fits on one line will also fit on the other.

Answer:

Squaring

Step-by-step explanation:

Answer:

P(~7) = 12/13

Step-by-step explanation:

There are 4 sevens in a normal deck of cards.

Therefore there are 48 cards out of 52 that are not 7.

P(~7) = 48/52 simplified, it is 12/13

Answer:

A third is written as ¹/₃

Step-by-step explanation:

The way to understand this is the number on the bottom is the number of pieces being divided into;

So ¹/₃ is 1 whole divided into 3 parts;

So, you need 3 ¹/₃ parts to make a whole

[tex]a \ * \ \frac{b}{c} = \frac{ab}{c} \\\\ 3 \ * \ \frac{1}{3} = \frac{3 \ * \ 1}{3} \\\\ = \frac{3}{3} \\\\ = 1[/tex]

Answer:

The trick for these is finding out what makes the largest known value into the corresponding lower value. Then we use that number to find the missing side length based on the value we know.

1. The missing side length is 40.

We can find this by dividing 70 by 56 to get 1.25. We then multiply this by 32 to get our missing side length.

2. The missing side length is 91.

We can find this by dividing 130 by 30 to get 4.333(repeating decimal). We then multiply this by our known value (21) to get our answer of 91.

3. The missing side length is 21.

We can fid this by dividing 36 by 12 to get 3. Then we multiply this by 7 (our known value) to get our answer.

Step-by-step explanation:

hope this helps. . .<3

good luck!       UwU

Answers:

Pick whichever form you prefer.

=============================================================

Explanation:

The vertex is the highest point in this case, which is located at (1,8).

In general, the vertex is (h,k). So we have h = 1 and k = 8.

One root of this parabola is (-1,0). So we'll plug x = -1 and y = 0 in as well. As an alternative, you can go for (x,y) = (3,0) instead.

Plug those four values mentioned into the equation below. Solve for 'a'.

y = a(x-h)^2 + k

0 = a(-1-1)^2+8

0 = a(-2)^2+8

0 = 4a+8

4a+8 = 0

4a = -8

a = -8/4

a = -2

The vertex form of this parabola is   y = -2(x-1)^2+8

Expanding that out gets us the following

y = -2(x-1)^2+8

y = -2(x^2-2x+1)+8

y = -2x^2+4x-2+8

y = -2x^2+4x+6 .... equation in standard form

Answer:

x = 8, y = 89/9

Step-by-step explanation:

Because of parallel lines, some angles are the same, see the attached image. That also means that (12x-28) + (9y-77) = 180 because they are half of an angle. So:

(12x-28) + (9y-77) = 180 ->

12x + 9y = 185.

Then,

(7x+12) = (12x-28) ->

x = 8.

We can plug that into the last equation:

12(8) + 9y = 185 ->

y = 89/9

:)

Answer:

about 20 cents

Step-by-step explanation:

#Shop A

Pack of 70pens:-

[tex]\\ \sf\longmapsto 7(2.30)=16.10[/tex]

#2

Pack of 70

[tex]\\ \sf\longmapsto 14(1.60)=20.80[/tex]

But you get half price

Difference:-

[tex]\\ \sf\longmapsto 16.10-10.40=5.70\£[/tex]

Answer:

hey there!

Step-by-step explanation:

FIRST QUESTION

3.75

10%= 0.375

20%= 0.75

3.75 + 75 = 4.50

$4.50

SECOND QUESTION

18/100 = X/154

X/154 = 18/100

X*154/154 = 18*154/100

X = 2772/100

X = 27.72

154- 27.72 = 126.28

$126.28

Using proportions, it is found that the central angle of the walking sector is of 36º.

Hence, the rule of three is:

1 - 360º

0.1 - x

Applying cross multiplication:

[tex]x = 360(0.1) = 36[/tex]

The central angle of the walking sector is of 36º.

A similar problem is given at https://brainly.com/question/24372153

Answer:

The slope is 2/3

Step-by-step explanation:

hope this answer helps!!!

Answer:

returning the collateral

Answer:

X = 0 or X = -2

Step-by-step explanation:

2x^4 + 16x = 0

x^4 + 8x = 0

x(x+2) (4+x^2_2x) = 0

x + 2 = 0

or

4+x^2_2x=0

Answer:

A

Step-by-step explanation:

In the question their are black, white, Vertical and horizontal line in option A it is same like the question and A option is same

Three to Ten  3:10

...................................................

Answer:

hundredths place

Answer:

ten thousandths place

Step-by-step explanation:

9 in the thousandths place is basically 0.009, and a 9 in the ten thousandths place is basically 0.0009, which multiplied by ten is 0.009

Answer:

12.5%

Step-by-step explanation:

Check the picture below.

The recursive equation for f(n) will be f(n) = 4242.42(1.65)ⁿ - 1300n.

Let Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs,

a = initial amount, and r = fraction which this growth/decay occurs.

Lionfish are considered an invasive species, with an annual growth rate of 65%.

Then the equation will be

f(n) = P(1.65)ⁿ

P = initial population

A scientist estimates there are 7,000 lionfish in a certain bay after the first year.

7000 = P(1.65)

P = 4242.42

Then the equation will be,

f(n) = 4242.42(1.65)ⁿ

If scientists remove 1,300 fish per year from the bay after the first year.

Then the recursive equation for f(n) will be,

f(n) = 4242.42(1.65)ⁿ - 1300n

Learn More about the exponent link is given below.

brainly.com/question/5497425

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