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mylen [45]
3 years ago
7

Find an explicit formula for the arithmetic sequence -45,-30,-15,0,...−45,−30,−15,0,...Minus, 45, comma, minus, 30, comma, minus

, 15, comma, 0, comma, point, point, point. c(n)=
Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer:

The explicit formula for any term is;

Tn = 15n - 60

where n represents the term number i.e for example whether is is 10th, 11th , 14th etc

Step-by-step explanation:

Here in this question, we are told to find an explicit formula for the arithmetic sequence.

From the question, the first term a is -45, the common difference d is -30-(-45) = -15-(-30) = 15

Now to find any term at any point in time, we will be needing the explicit formula;

Mathematically; Tn = a + (n-1)d

Substituting for a and d;

Tn = -45 + (n-1)15

Tn =-45 + 15n -15

Tn = 15n -45-15

Tn = 15n -60

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|4x-9|=5x Does anybody know the answer to this ?
oksano4ka [1.4K]

|4x-9|=5x

subtract 4 to both sides

and that will give you

|-9|=x then the 9 turns positive because of the brackets

9=X

3 0
3 years ago
Which equation is in point-slope form for the given point and slope?
faust18 [17]

Answer: y-7 = 4(x+3), choice B

============================================

Point slope form is generally

y-y1 = m(x-x1)

we have m as the slope and (x1,y1) as the point this line goes through. In this case,

m = 4

(x1,y1) = (-3,7) so x1 = -3 and y1 = 7

So,

y-y1 = m(x-x1)

y - 7 = 4(x - (-3))

y - 7 = 4(x + 3)

which is why choice B is the answer

6 0
3 years ago
Read 2 more answers
Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randoml
vovikov84 [41]

Answer: 0.3439

Step-by-step explanation:

Given :The last four digits for telephone numbers are randomly selected​ (with replacement).

Here , each position can be occupied with any of the digit independently .

Total digits = 10

Total digits other than 0 = 9

For each digits , the probability that it is not 0 = \dfrac{9}{10}=0.9

If we select 4 digits , The probability of getting no 0 =(0.9)^4 =0.6561

(By multiplication rule of independent events)

Now , the probability that for one such phone​ number, the last four digits include at least one 0. = 1- P(none of them is 0)

=1- 0.6561=0.3439

Hence, the probability that for one such phone​ number, the last four digits include at least one 0. is 0.3439 .

4 0
2 years ago
PLEASE HELP
jek_recluse [69]
I need points bro, so imma just type this rq cuz I’m mid test thank u tho
8 0
2 years ago
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
attashe74 [19]
It's (5,7). This is a translation. (x-4) means moving the x coordinate to the left 4 times. If it was positive it would move to the right. (y+15) moves the y coordinate to the right 15 times also would move to the left if negative.
8 0
3 years ago
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