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Furkat [3]
2 years ago
8

Indicate the general rule for the arithmetic sequence with a3 = -4 and a8 = -29.

Mathematics
1 answer:
Talja [164]2 years ago
7 0
Calculate first the common difference of the arithmetic sequence,
                       d  = (-29 - -4)/(8 - 3) = -5
The first term is calculated through the way below,
                            a1 = -4 + 5 + 5 = 6
Thus, the first term of the arithmetic sequence is 6 and the common difference is -5. 
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How would you solve this problem? (Worth 10 points, pls help!)
mrs_skeptik [129]

Answer:

(22,0)

Step-by-step explanation:

1. Select any two points given and find their slope (rise/run)

       (-38, 40) and (-23, 30)

      slope =   \frac{40-30}{-38-(-23)} = - 2/3

2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept.

    y = mx + b ⇒ 40 = -2/3 (-38) + b

3. Solve for b

   40 = -2/3 (-38) + b

   40 = 76/3 + b

   40 - 76/3 = b

   b = 44/3

4. To find the x-intercept, set y = 0, and solve.

   y = -2/3 x + 44/3

   0 = -2/3 x + 44/3

   2/3 x = 44/3

   x = 22

Hope this helped!

5 0
2 years ago
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tac
Anestetic [448]

Answer:

Tacoma's population in 2014 will be 587,439 people

Step-by-step explanation:

we know that

The equation of a exponential growth function  is given by the formula

y=a(1+r)^x

where

y is Tacoma's population in thousand

x is the number of years since 2000

r is the rate of change

a is the initial value

we have

a=200\\r=8\%=8/100=0.08

substitute

y=200(1+0.08)^x

y=200(1.08)^x

what will Tacoma's population be in 2014?

Find the value of x

x=2014-2000=14\ years

substitute the value of x

y=200(1.08)^{14}=587.439\ thousand

therefore

Tacoma's population in 2014 will be 587,439 people

5 0
2 years ago
Please view this imagine & help meee:(
EleoNora [17]

Answer:

20: 9t+12

21: 18x

22: 105x+9

24: 156r

25: 3x+11

26: 25.2x

28: 56a

29: 1.5n

30: 13q

Step-by-step explanation:

hope this helped

brainliest please

6 0
3 years ago
Find the solution:<br> 3x + 2y = 12<br> -2x + 3y = 5
finlep [7]

Answer:

x = 3

y = 2

Step-by-step explanation:

3x + 2y = 12

-2x + 3y = 5 to find the solution we will use elimination method and for that, multiply second equation with 3 and the first equation with 2

<em>2 * 3x + 2y = 12</em>

<em>6x + 4y = 24</em>

<u>3 * -2x + 3y = 5</u>

<u>-6x + 9y = 15</u>  now find the sum of both equation:

<em>6x + 4y  </em><u>-6x + 9y</u> = 24 + 15 add like terms

13y = 39 divide both sides by 13

y = 3 now that we found the value of y we can use this to calculate the value of x

3x + 2y = 12 replace y with 3

3x + 2*2 = 12

3x + 4 = 12 subtract 4 from both sides

3x = 9 divide both sides by 3

x = 3

7 0
2 years ago
At Central High School, there are 48 football players and 20 cheerleaders. What is the ratio of cheerleaders to football players
Ahat [919]

Answer:

5 : 12

Step-by-step explanation:

Cheerleaders : football players

20 : 48

5 : 12

6 0
3 years ago
Read 2 more answers
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