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sammy [17]
3 years ago
15

Write. varible expression to describe the rule for the sequence 8,10,12,14 then find the 100th term

Mathematics
1 answer:
ruslelena [56]3 years ago
4 0
The first step would be to put in the fact that the sequence starts at 8

y = 8 + _x

The blank is going to include the difference between each number in the sequence; that is, how much it’s increasing by. To find it, get the difference between any two (consecutive!) terms.

10 - 8

12 - 10

14 - 12

All of these are equal to 2. Therefore, our gap is going to include “2”

y = 8 + 2x

To find the hundredth term, simply plug in 99 for x (the reason being that plugging in 0 for x gives us 8, but this is considered the first term. Therefore, x - 1 is the actual term)

y = 8 + 2(99)

y = 8 + 198

y = 206

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Answer:

f(x) = 34,500 × (1.032)^x

Step-by-step explanation:

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3 0
3 years ago
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4 0
3 years ago
Sasha is cutting a cake into 42 equal-sized pieces. If 14 people want cake, then they can each have 3 slices. And if 21 people w
kupik [55]

Answer:

k = 42

the constant of proportionality in this inverse variation is 42.

Step-by-step explanation:

Let x represent the number of people that want cake

And y the number of slices each can have;

Since x is inversely proportional to y;

x = k/y .....1

Where k is the proportionality constant;

To solve for k, we will substitute any of the case scenario given into equation 1.

If 14 people want cake, then they can each have 3 slices;

x = 14 , y = 3

substituting;

14 = k/3

k = 14 × 3 = 42

k = 42

the constant of proportionality in this inverse variation is 42.

Therefore,

x = 42/y

4 0
3 years ago
Pick any number and add 5 to it. Find the sum of the new number and the original number. Add 5 to the sum. Divide the new sum by
Oksana_A [137]

Answer: The final number is 5

Step-by-step explanation:

Picked number: 10

STEP are all according to what you stated

10+5=15 (first sentence)

15+10=25 (second sentence)

25+5=30 (third sentence)

30÷2-10=5 (fourth sentence)

The final number is 5.

3 0
3 years ago
Pls help me with this
Nonamiya [84]

22  True  For all real Numbers A and B,  A  -   B   =    -B   +  A

23  True   For all real Numbers  P, Q, and R, P  -  Q  - R  =  P - R  - Q

24) True For all real Numbers  X, Y, Z and (X   +  Y )  +  Z  =  Z   +  (X  +  Y)

25) False  For all real Numbers M and N,  M/M * N = N/N ==> Example: 5/5  *  3  ≠   3/3  *  5

26) Examples:

Counterexamples =====>   5  - 0  = 5;   5/1   =  5  

5   -  3   ≠  3    -   5;   (5 -  3 )  -    2  ≠   5  -  (3   -  2 );    

6/3    ≠   3/6;   (24/6 )/2   ≠   24/ (6/ 2 )



Hope that helps!!!!                                         : )

5 0
3 years ago
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