which is the explicit formula for the sequence above?

Answer:

This equation has two solutions.

1 solution is: x - 1

Solution #2 is : x - 7

Step-by-step explanation:

1. Move the constant to the left. We end up with x^2 - 8x +7 = 0

2. Rewrite the expression: x^2 - x - 7x + 7 = 0

3. Factor the expressions: x * (x-1) -7(x-1) = 0

4. Separate into possible cases : (x-1) * (x-7) = 0

5. Solve the equation(s): x-1 = 0

                                         x-7 = 0

6. Possible solutions are as follows: x-1 OR x-7

Answer:

36

Step-by-step explanation:

to answer this question :

Volume of a cylinder = nr^2h

n = 22/7

r = radius = 6

h = height = 12

(22/7) x (6^2) x (12)  = 1357.71 in^3

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius = 3

h = height =

4

(1/3) x (22/7) x (3^2) x (4) = 37.71

1357.71 / 37.71 = 36 times

Answer:

Hi! The answer to your question is [tex]g = 0[/tex]

Step-by-step explanation:

In the equation there is no g so g is nonexistant so it equals 0

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

f(x) = 1,024(0.50)x

Step-by-step explanation:

i just took the test :)

Answer:

Step-by-step explanation:

that vector is in the 4th quadrent. This means that it will be between 270 and 360 degrees.

setting up directions over the graph (like a compass), the vector would be between East and South  

using the diagram below it would most likly be south of east and 350 degrees

Answer:

$24.25

Step-by-step explanation:

Given data

We are told that  1 ounce cost $4.12

Hence 6.25 ounces will cost x

cross multiply

x= 6.25*4.12

x=$25.75

This means that the cost of the 6.25 ounces is $25.75

If the teacher pays with a $50 bill, then her change is

=50-25.75

=$24.25

Answer:

261

Step-by-step explanation:

-8y+4

-2y-6y=-8y

7-3=4

-8y+4

Answer:

0.22 square units

Step-by-step explanation:

Area of the left over fabric = Area of the square piece - Area of the circle

let the side length of the square piece be 1 unit

Area of the square piece = 1 * 1

Area of the square piece = 1 square units

Area of the circle = πd²/4

d is the diameter of the circle = 1 unit (equivalent to the side length of the square)

Area of the circle = π(1)²/4

Area of the circle = 3.14/4

Area of the circle = 0.785square units

Area of the left over fabric = 1- 0785

Area of the left over fabric = 0.215 square units

Hence the amount of fabric that would be leftover is 0.22 square units

Answer:

0.22 square units

Step-by-step explanation:

Hope this helps

Answer:

25.5 inches is the correct answer

Answer:

12

Step-by-step explanation:

here's your solution

=> area of rectangle = length*width

=> area 4*3 = 12.squnit

=> area of square = side^2

=> area = 1.squnit

=> Number of square = area of rectangle/area of square

=> no of square = 12/1

=>. 12

Answer:

angle KJG = angle FGJ (by alternateinteriorangle)

Answer:

9.8596

Step-by-step explanation:

no explanation just that An apple, potato, and onion all taste the same if you eat them with your nose plugged and Bananas are curved because they grow towards the sun ☀

Answer:

GF = 7

Step-by-step explanation:

lol, hope this helps

Answer:

Alternate Interior angles

Alternate Interior angles are angles that are within two parallel lines.

So for the above question, our pairs of Alternate Interior angles are:

= Angle 4 and Angle 6

Angle 3 and Angle 5

Alternate exterior angles

Alternate exterior angles are angles that are found outside the two parallel lines

For our above question, our pairs of Alternate exterior angles are:

= Angle 1 and 7

Angle 2 and Angle 8

Corresponding angles

= Angle 1 and Angle 5

Angle 2 and Angle 6

Angle 4 and Angle 8

Angle 3 and Angle 7

Step-by-step explanation:

Alternate Interior angles

= Angle 4 and Angle 6

Angle 3 and Angle 5

Alternate exterior angles

= Angle 1 and 7

Angle 2 and Angle 8

Corresponding angles

= Angle 1 and Angle 5

Angle 2 and Angle 6

Angle 4 and Angle 8

Angle 3 and Angle 7

Answer:

y=3x-6.5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-0.5)=3(x-2)

y+0.5=3x-6

y=3x-6-0.5

y=3x-6.5

The slope of a line indicates the measure of the steepness and the direction of the line. The slope of any line can be calculated using any two distinct points lying on the line. The equation is y = 3x-6.5. The correct option is D.

The equation of a line is an algebraic form which represents the set of points, which together form a line in a coordinate system. The equation of line is a linear equation with a degree of one. It can be formed with the help of the slope and a point on the line.

The equation of a line passing through the point and slope is given as:

(y - y₁) = m (x - x₁)

(y - -( 0.5)) = 3 ( x - 2)

(y + 0.5) = 3 (x - 2)

(y + 1/2) = 3 (x - 2)

or

y + 0.5 = 3x - 6

y = 3x - 6.5

Thus the correct option is D.

To know more about equation of a line, visit;

https://brainly.com/question/29201769

#SPJ7

Your question is incomplete most probably your full question was:

Which equation represents a line that passes through (2, -0.5) and has a slope of 3?

A. y - 2 = 3( x + 1/2)

B. y- 3 = 2 ( x+ 1/2)

C. y + 1/2 = 3 (x - 2)

D. y + 1/2 = 2 (x -3)

Answer:

The answer is 494 dollars

Step-by-step explanation

30% of 380 is 114 and then you add 380 to 114 and you get 494 dollars

Answer:

16000=140x

It will take 90 minutes to hit 12,600 ft above ground.

Step-by-step explanation:

Just swap out 16000 for 12600. Then solve from there.

Hope it helped!

Answer:

Daniel can go on 22 rides.

Step-by-step explanation:

Answer:

318 (rounded)

Step-by-step explanation:

d = diameter

c = circumference

d = c/3.14

hope this helps you

Answer:

24 miles

Step-by-step explanation:

if J (Jeremy) ran 16 less than K(Kacie) and J ran 8 miles add 8 and 16 together which is 24 to get the answer.

hope this helped

Answer:

24 miles

Step-by-step explanation:

let what Kacie ran be x miles

x-16=8, 16 being the difference of what they ran, 8 being how many miles jeremey ran

that makes x=24 because 16+8=24

Answer:

x=−4/5 or x=−3

Step-by-step explanation:

Step 1: Factor left side of equation.

(5x+4)(x+3)=0

Step 2: Set factors equal to 0.

5x+4=0 or x+3=0

x=−4/5 or x=−3

Answer: the answer will be 38 centimeters

Step-by-step explanation:

Answer:

sec ∅  =  5/4

cosec ∅  = -5/3

cot ∅  = -4/3

Tan ∅ = - 3/4

sin ∅   = -3/5

cos ∅   =4/5

Step-by-step explanation:

Given : -4y = 3x  , x > 0

i.e. 3x + 4y = 0 ,  x >0

4y = -3x  ∴ y = - 3/4 x

The values of trigonometric functions of  ∅  are

Tan ∅  = opposite / adjacent

           = - 3/4   ( given that y = slope which is = Tan  ∅ )

now we will find the hypothenuse ( c )

c^2 = a^2 + b^2 = 9 + 16 = 25

therefore ; c = √25 = 5

hence the trig functions are :

sin ∅   = -3/5

cos ∅   =4/5

sec ∅ = 5/4

cosec ∅ = -5/3

cot ∅ = -4/3

Answer:

The answer is C

Step-by-step explanation:

Cause the visitors to the Act got more data

Answer:

[tex]circumference = 2\pi \: r \\ = 2 \times \frac{22}{7} \times 14 \\ 88 \: m \: fence[/tex]

Answer:

Step-by-step explanation:

cos(∠X) = adj./hyp.

arccos(adj./hyp.) = ∠X

arccos(13/18) = 43.761...≈ 43°

Answer:

Step-by-step explanation:

[tex]S_{10}=\dfrac{2a_1+d(10-1)}{2}\cdot 10\\\\\dfrac{2a_1+9d}{2}\cdot 10=-60\\\\\dfrac{2a_1+9d}{2}=-6\\\\2a_1+9d=-12\\\\2a_1=-12-9d\\\\\\S_{15}=\dfrac{2a_1+d(15-1)}{2}\cdot 15\\\\\dfrac{2a_1+14d}{2}\cdot 15=-165\\\\\dfrac{2a_1+14d}{2}=-11\\\\2a_1+14d=-22\\\\-12-9d+14d=-22\\\\ 5d=-10 \\\\ d=-2\\\\\\2a_1=-12-9(-2)=-12+18=6\\\\a_1=3\\\\\\ a_{18}=a_1+17d=3+17(-2)=3-34=-31[/tex]