The seventh term of an arithmetic sequence is 21, the tenth term is 126. The first term is

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Answer 1

Answer: Hi,
$a_(10)=a_0+10*r\na_7=a_0+7*r\na_(10)-a_7=3\ \Rightarrow 126-21=3r\ \Rightarrow r=35\na_7=a_0+7*r\ \Rightarrow 21=a_0+7*35\n\Rightarrow a_0=-224\n\Rightarrow a_1=-224+35\n\boxed{a_1=-189}$

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What are the next three terms in the sequence? -1,9,19,29,....
A=38,37,32
B=40,51,62
C=39,49,59
D=38,47,56

Answers

C=39,49,59
The pattern is plus 10 so you add 10 to 29, which equals 39. Then add 10 to 39, etc.
Hope it helps:)

A NEED HELP WORTH 53 POINTS

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where is the picture or question?

Answer:

can you please add a picture so i can compleat the problem

Step-by-step explanation:

Factor 2x(squared)-9x-18?

Answers

Here: =(2x+3)(x-6) =2x²-12x+3x-18 =2x²-9x-18 So the answer is (2x+3)(x-6)

Money off coupons have been circulated to 300 households. Only 2/5 of these were redeemed (used) in the local supermarket to get a free shampoo. What fraction of the coupons were unused ?

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if 2/5 were used wouldn't it make sense that 3/5 were unused

Answer:

150

Step-by-step explanation:

So, 300 divided by 2/5 = 750.

When you simplify:

750 - 300 = 450 (NOT DONE YET!)

450 - 300 = 150

150 is the most simplified answer.\

Solve. 6 × r = 42

Please help. :(

Answers

Answer:

r = 7

Step-by-step explanation:

42 ÷ 6 = 7

The population of a city is represented by the function p(t)=33,500(1.014)^t where t represents time in years and corresponds to the year 2000. According to this model, what is the expected population of the city 2015

Answers

Replace t with 15 (2015-2000):

$p(15)=33,500(1.014)^(15)\n \n p(15)=33,500(3,8729)\n \n p(15) \approx 129,742 \ inhabitants$

$p(t) = 33500(1.014)^t\n \n t = (2015 - 2000) = 15\n \n i.e., p(15) = 33500(1.014)^(15) \n \n => p(15) = 33500.38729 \n \n => 1297421500$

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