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mina [271]
3 years ago
10

I need an inequality

Mathematics
1 answer:
Veronika [31]3 years ago
7 0
I got 120x<150x -100
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What is an equation of the line that passes through the points (3, 0) and (6, -1)
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Indicate a general rule for the nh term of this sequence.<br> 12a, 15a, 18a, 21a, 24a,...
adelina 88 [10]

Answer:

The general rule for the nth term of this sequence will be:

a_n=3na+9a

Step-by-step explanation:

Given the sequence

12a, 15a, 18a, 21a, 24a,...

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

Here,

a₁ = 12a

computing the differences of all the adjacent terms

d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a

using the nth term formula

a_n=a_1+\left(n-1\right)d

substituting a₁ = 12a, d = 3a

a_n=12a+\left(n-1\right)3a

     =12a+3na-3a

     =3na+9a

Therefore, the general rule for the nth term of this sequence will be:

a_n=3na+9a

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3 years ago
An athlete eats 75g of protein per day while training. How much protein will she eat during 25 days of training? Write your answ
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75 \times 25 = 1875
The answer is 1.875 kilograms
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3 years ago
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