Answer:
Step-by-step explanation:
hg(x) means you multiply h(x) times g(x) and then we will set it equal to .
hg(x) = which simplifies to
. Now set that equal to
:
and get everything on the same side and factor:
. Factor by grouping:
and factor out what's common in each set of ( ):
which factors out to
. But
factors somoe to:
(x + 1)(x - 1)(x - 1) = 0 So the solutions for this are
x = -1, 1
Step-by-step explanation:
for triangle HLM
180-2x
180-(3x+6)
H
2x=3x-10
x=10°
180-36=144°
36-20=16°
H=2x
H= 180-144-16= 20°
Answer:
see explanation
Step-by-step explanation:
The nth term of a geometric progression is
= a₁
where a₁ is the first term and r the common ratio
Given a₅ = 162 and a₈ = 4374 , then
a₁ = 162 → (1)
a₁ = 4374 → (2)
Divide (2) by (1)
=
r³ = 27
r = = 3
Substitute r = 3 into (1) and solve for a₁
a₁ = 162
81a₁ = 162
a₁ = = 2
Then
a₂ = a₁ × 3 = 2 × 3 = 6
a₃ = a₂ × 3 = 6 × 3 = 18
The first 3 terms are 2, 6, 18
(ii)
The sum to n terms of a geometric progression is
=
, then
=
=
= 59049 - 1
= 59048