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kiruha [24]
3 years ago
10

Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.

Mathematics
1 answer:
klasskru [66]3 years ago
6 0
14, 18, 22, 26, 30, . . . = 14, 14 + 4, 14 + 8, 14 + 12, 14 + 16, . . . = 14, 14 + 1(4), 14 + 2(4), 14 + 3(4), 14 + 4(4), . . . = 14 + 4(n - 1) = 14 + 4n - 4 = 4n + 10
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3 years ago
Which of the following is a solution to the following system of inequalities?
iren2701 [21]

Option D: (0,3) is the solution to the inequalities.

Explanation:

From the given graph, we can see that the equation of the inequalities are

$y>-x+1$ and $y\leq 2 x+3$

To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities $y>-x+1$ and $y

Thus, we have,

Option A: (1,-1)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies-1>0 is not true.

$y\leq 2 x+3 \implies -1\leq 5 is true.

Since, only one equation satisfies the condition, the coordinate (1,-1) is not a solution.

Hence, Option A is not the correct answer.

Option B: (-4,0)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies0>5 is not true.

$y\leq 2 x+3 \implies 0\leq -5 is not true.

Since, both the equations does not satisfy the condition, the coordinate (-4,0) is not a solution.

Hence, Option B is not the correct answer.

Option C: (3,-2)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies-2>-2 is not true.

$y\leq 2 x+3 \implies -2\leq 9 is true.

Since, only one equation satisfies the condition, the coordinate (3,-2) is not a solution.

Hence, Option C is not the correct answer.

Option D: (0,3)

Substituting the coordinates in $y>-x+1$ and $y\leq 2 x+3$, we get,

y>-x+1\implies3>1 is true.

$y\leq 2 x+3 \implies 3\leq 3 is true.

Since, both equation satisfies the condition, the coordinate (0,3) is a solution.

Hence, Option D is the correct answer.

4 0
3 years ago
320 g as a fraction of 2 kg
alex41 [277]

Answer:

4/25

Step-by-step explanation:

2kg in grams is 2000g

320/2000 simplifies to 4/25

5 0
3 years ago
Read 2 more answers
7.21 as a percentage
kirill115 [55]
721% is the right answer.
5 0
3 years ago
Write 2 1/4<br> as an improper fraction.
Vika [28.1K]

Answer:

9/4

Step-by-step explanation:

First multiply denominator by the whole

That is: 4 x 2 = 8

Secondly, whatever answer you got add it to the numerator

That is: 8 + 1 = 9

Lastly, whatever answer you got, take that as the numerator and the denominator remains the same

That is: 9/4

Finally, this is your improper fraction of the number provided!

Hope it helps!!!

3 0
3 years ago
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