An=a1r^(n-1)
given
a5=1/24
a10=1/768
we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)
so
1/24=a1r^4
1/768=a1r^9
(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32
r^5=1/32
take 5th root of both sides
r=1/2
we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3
the first term is 2/3
Answer:
-5x^2 - 25x + 18
Step-by-step explanation:
-3x ( x + 8 ) + x + 2 ( 9 - x - x^2 ) ( original equation )
-3x^2 - 24x + x + 18 - 2x - 2x^2 ( distribute )
-3x^2 - 2x^2 - 24x + x - 2x + 18 ( order them based on the variables . )
( -3x^2 - 2x^2 ) (- 24x + x - 2x ) ( + 18 ) ( just separated them not a part of solving !! )
-5x^2 - 25x + 18 ( solved , and the answer :) )
Hope its helps !!!
3y+4+3y-y=-6
6y-y+4=-6
5y+4=-6
5y=-10
y=-2
If you have any questions let me know
Step-by-step explanation:
q(a) = ½a + 38
The slope of q is ½. So the perpendicular slope is -1/½ = -2.
Write h(x) in point-slope form:
h − (-7) = -2 (x − 12)
h + 7 = -2 (x − 12)
Simplify to get slope-intercept form.
h + 7 = -2x + 24
h = -2x + 17
