Answer:
a₁ = 38
Step-by-step explanation:
Given AP, where:
=============
<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
We have that
<span>(-3,7) is on the graph of f(x), find the corresponding point for the function
f(x + 5)
we know that
in the transformation f(x)-------> f(x+5)
the point (x.y) in f(x) becomes a point (x-5,y) in f(x+5)
so
(-3,7)-----------> becomes a point (-3-5,7)------> (-8,7)
the answer is
</span>(-8,7)<span>
</span>
Tnemos el sisema de ecuaciones:

Podemos resolverlo por eliminación sumando ambas ecuaciones y eliminando y. Asi podemos resolver para x:

Ahora podemos resolver para y con cualquiera de las dos ecuaciones:

Respuesta: x=-3, y=0
Answer:
→ 12..........
I hope this will help you....