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Mice21 [21]
3 years ago
5

Introduction to Functions Closure Property. 9th grade Algebra 1.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0
Sorry just getting free points

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8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm
Ilya [14]

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

  • 8a₈ = 12a₁₂
  • d = -2,
  • a₁ = ?

=============

<h3>Solution</h3>

aₙ = a₁ + (n-1)d

  • a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
  • a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22

8a₈ = 12a₁₂

  • 8(a₁ - 14) = 12(a₁ - 22)
  • 2(a₁ - 14) = 3(a₁ - 22)
  • 2a₁ - 28 = 3a₁ - 66
  • 3a₁ - 2a₁ = -28 + 66
  • a₁ = 38
6 0
3 years ago
Evaluate f g for x=-2<br><br>(fg)(-2)= ??
Lemur [1.5K]

Answer:

(fg)(-2) = 96

Step-by-step explanation:

(fg)(-2)=6(-2)^{4} =6(16)=96

Hope this helps

8 0
2 years ago
What is 6 6/7 - 2 3/8
lilavasa [31]

Answer: exact form: 251/56, decimal form 4.482, mixed number form 4 27/56

6 0
3 years ago
The first tern of an arithmetic sequence is -3 and the fifteenth term id 53. What is the common difference of the sequence?
arsen [322]
The common difference is 4. U know that the formula is the first term + d(n -1). N-1 is 14 so u know that 14 times a number needs to equal 56 because the first term is -3 and 56-3 is 53. 14 * 4 is 56. So the common difference is 4
5 0
3 years ago
Leona is having a birthday party on Sunday. Jeanette wants to know how many people will be coming. Leona tells her that there wi
konstantin123 [22]

Answer:77 and 87

Step-by-step explanation:

7×6=42 + 5+7=35/\ 35+42=77(first outcome)

7×6=42 + 5×9=45/\42+45=87 (second outcome.

7 0
3 years ago
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