Write the rule for the table, use x for the input.

Mathematics

2 answers:

Firlakuza [10]3 years ago

8 0

Step-by-step explanation:

so you take the numbers and put them in order from least to greatest. so it would be negative -1, 0, 1, 1, 2, 3, 4, 9, 17, 25, 33, 41 .

maks197457 [2]3 years ago

8 0

Y=8x+9

You basically are looking for the equation in slope intercept form. First you know that the y intercept is 9 because you have the pair (0,9). Next you need to find the slope which is what you will multiply all the x values by. To do this you do y2-y1/x2-x1. I chose the points (0,9) and (1,17). You do 17-9/1-0. This gives you the slope which is 8. Now that you have the equation you know that you multiply x by 8 then add 9. To check that the equation is accurate you plug in the x and y values and see if they equal each other.

17-9= 8
1-0= 1
8/1=8
Y=8x+9

(2,25)
25=8(2)+9
25=16+9
25=25

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A country has two political parties, the Demonstrators and the Repudiators. Suppose that the national senate consists of 100 mem

IRISSAK [1]

Answer:

(a) 4.148 x 10^(12) ways

(b) 5,827,360 ways

Step-by-step explanation:

Number of Demonstrators (D) = 44

Number of Repudiators (R) = 56

(a)

5 senate members must be Repudiators and 5 must be demonstrators, assuming that the order at which they are selected is irrelevant:

$N= C^{D}_{5} * C^{R}_{5}\\N=\frac{56!}{5!(56-5)!} *\frac{44!}{5!(44-5)!} \\N=3,819,816*1,086,008\\N=4.148 *10^{12}$

(b)

Since there are two different positions, (speaker and vice speaker), order is important in this situation, and the total number of ways to select two senators from each party is:

$N= P^{D}_{2} * P^{R}_{2}\\N=\frac{56!}{(56-2)!} *\frac{44!}{(44-2)!} \\N=3,080*1,892\\N=5,827,360$