Answer:
see explanation
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = - 95 and a₃₇ = - 270 , then
a₁ + 11d = - 95 → (1)
a₁ + 36d = - 270 → (2)
Subtract (1) from (2) term by term to eliminate a₁
25d = - 175 ( divide both sides by 25 )
d = - 7
Substitute d = - 7 into (1) and solve for a₁
a₁ + 11(- 7) = - 95
a₁ - 77 = - 95 ( add 77 to both sides )
a₁ = - 18 , thus
= - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11
= - 7n - 11 ← explicit formula
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The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus
= 
- 7 with a₁ = - 18 ← recursive formula
Answer:
3.33333333333333333333333333333
Step-by-step explanation:
4.5 * 3.33333333333333333 = 14.999999999999 but round and it = 15
Area of a triangle is A = (1/2) (b) (h). Here we are given A and b and need to find h.
A = 24 ft^2 = (1/2) (4 ft) (height)
24 = 2(height) => height is 12 ft (answer)
Factor : 8y - 36
Go through all of the answer choices & see which one is correct.
a) -4 (2y + 9)
You don't even have to fully simplify this, just by looking at the -4, you already know that this is incorrect because you need to have a positive 8. So, A is incorrect.
b) 8 (y - 4)
Simplify.
8y - 32
Incorrect because it is not equal to the original equation.
c) 2 (4y - 18)
Simplify.
8y - 36
Correct answer because it is equal to the original equation.
d) 4(2y - 9)
Simplify.
8y - 36
D is also correct.
So, your answer is : (C) and (D) are your answers.
~Hope I helped!~
