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3 years ago

Determine if the sequence below is arithmetic or geometric and determine

Mathematics

1 answer:

klio [65]3 years ago

5 0

Answer:

It is arithmetic

Step-by-step explanation:

Using the rule T2-T1

We see that 16-22 is -6

We can also try T3-T2

We see that 10-16 is also -6

Their is a constant common difference and that constant common difference is -6.

Hope that helps :)

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You and a friend are heading to Frankie's Fun Park (Columbia, SC). You have $100 for the day, and plan to spend your time riding

Rufina [12.5K]

Answer:

$8r + 6s = 100$ --- (a)

$s = -2$ ---- (b)

Step-by-step explanation:

Given

Per ride (r) = $8

Per baseballs (s) = $6

Total = $100

Required

Represent using an equation

If 1 ride is $8.

r rides would be 8r

If 1 baseball is $6

s baseballs would be 6r.

So, total is:

$8r + 6s = 100$

Solving (b):

Value of s when r = 14

$8r + 6s = 100$

Substitute 14 for r

$8 * 14 + 6s = 100$

$112+ 6s = 100$

Solve for 6s

$6s = 100 - 112$

$6s = -12$

Solve for s

$s = -12/6$

$s = -2$

4 0

3 years ago

Please factor/simplify the following term x^4-16

PilotLPTM [1.2K]

(X^2+4)(x+2)(x—2)
Hope this helped:)

7 0

3 years ago

Read 2 more answers

Slove the simoltanous equation by using substitution or elimination method 5x-3y=1 3x+2y=1

xxTIMURxx [149]

By substitution method 

5x - 3y =1

3x + 2y = 1

_____o____o____

$5x - 3y = 1 \\ 5x = 1 + 3y \\ x = \frac{1 + 3y}{5}$

______o____o_____

$3x + 2y = 1 \\ 3( \frac{1 + 3y}{5} ) + 2y = 1 \\ \frac{3 + 9y}{5} + 2y = 1 \\ \frac{3 +9y + 10y}{5} = 1 \\ \frac{3 + 19y}{5} = 1 \\ 3 + 19y = (1)(5) \\ 3 + 19y = 5 \\ 19y = 5 - 3 \\ 19y = 2 \\ y = \frac{2}{19}$

______o_____o____

$x = \frac{1 + 3y}{5} = \frac{1 + 3 \frac{2}{19} }{5} \\ x = \frac{1 + \frac{6}{19} }{5} = \frac{ \frac{19 + 6}{19} }{5} = \frac{ \frac{25}{19} }{5} \\ x = \frac{25}{19} \div 5 \\ x = \frac{25}{19} \times \frac{1}{5} \\ x = \frac{5}{19}$

I hope I helped you^_^

7 0

3 years ago

Someone please help !!

sdas [7]

Looking at Pascal's Triangle, specifically at the row that starts with 1, 10, etc we see the value 210 in the 4th slot (start the count at 0) since 10-6 = 4

Or you can use the combination formula nCr to get the same result

nCr = (n!)/(r!*(n-r)!)
10C4 = (10!)/(4!(10-4)!)
10C4 = (10!)/(4!*6!)
10C4 = (10*9*8*7*6!)/(4!*6!)
10C4 = (10*9*8*7)/(4!)
10C4 = (10*9*8*7)/(4*3*2*1)
10C4 = 210

Either way, the final answer is Choice C) 210

6 0

3 years ago

I don’t know how to do this can someone help me ? For 3 and 4

Ugo [173]

To graph the equation of a line, all you need are the coordinates of two points on the line. It is often convenient to use (x, y) values such that x or y is zero.

3) For the first equation, when x=0, you have -3y = 2, so y = -2/3. That means (0, -2/3) is one point on the line. When y=0, you have x = 2, so (2, 0) is another point on the line. Draw the graph by plotting these points and draing a straight line through them.

For the second equation, when x=0, you have 9y = -6, so y = -6/9 = -2/3. That means (0, -2/3) is also a point on the second line. When y=0, you have -3x = -6, so x=2 and (2, 0) is also a point on the second line.

The second line is identical to the first line, so it has an infinite number of points in common with it. The system of equations has an infinite number of solutions.*

4) Repeat the exercise as for problem 3 to find that the first line goes through points (5/2, 0) and (0, -5). The second line goes through points (-1/2, 0) and (0, 1). These lines are parallel, so never intersect. The system of equations has zero solutions.**

_____
* We say these equations are "dependent." If you multiply the first equation by -3, you get the second equation.

** We say these equations are "inconsistent."

6 0

4 years ago