It should be x < -10 because when you divide by a negative number the inequality sign flips.
Answer:
He will need 9 tiles
Step-by-step explanation:
Step one:
let us highlight the given parameters
Given data
the size of the kitchen floor is 110 ft^2
the size of the bathroom is 28 ft^2
he used 32.5 tiles for the kitchen
and used x tiles for the bathroom
Step two:
if he used 32 tiles for 110 ft^2 kitchen
he will use x tiles for 28 ft^2 bathroom
cross multiplying we have
x= (32*28)/110
x= 896/110
x= 8.145
<em>Approximately he will need 9 tiles</em>
<span>C) 91.44 cm
hope this helps :) </span>
Ooh, fun
geometric sequences can be represented as

so the first 3 terms are



the sum is -7/10

and their product is -1/125

from the 2nd equation we can take the cube root of both sides to get

note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as

subsituting -1/5 for ar

which simplifies to

multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for


so
for 2r²-5r+2=0
a=2
b=-5
c=2




so

or

use them to solve for the value of a


try for r=2 and 1/2

or

test each
for a=-1/10 and r=2
a+ar+ar²=

it works
for a=-2/5 and r=1/2
a+ar+ar²=

it works
both have the same terms but one is simplified
the 3 numbers are

,

, and