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Answer:
n>9
Step-by-step explanation:
4(n-3)- 6 > 18
To solve this inequality we need to remove the parenthesis
distribute 4 inside the parenthesis
4n -12 - 6 > 18
Now combine like terms
4n - 18 > 18
We need to isolate 'n', so we add 18 on both sides
4n > 36
Now divide both sides by 4
n > 9
So the value of n is greater than 9
Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
=
[ 2a₁ + (n - 1)d ] , thus
=
[ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
The equation of the parabola is:

---------------------------
The <em>equation </em>of a parabola of vertex (h,k) and focus (0,f) is given by:

- Vertex at the origin means that
. - Focus (0,6) means that

Thus, the equation of the parabola is:



A similar problem is given at brainly.com/question/15165354