(I)
Given equation is x²-8x = -16
⇛ x²-8x+16 = 0
⇛ x²-4x-4x+16 = 0
⇛ x(x-4)-4(x-4) = 0
⇛ (x-4)(x-4) = 0
⇛ x-4 = 0 or x-4 = 0
⇛ x = 4 or x = 4
(ii)
Given equation is x²+2x+1 = 0
⇛ x²+x+x+1 = 0
⇛ x(x+1)+1(x+1) = 0
⇛ (x+1)(x+1) = 0
⇛ x+1 = 0 or x+1 = 0
⇛ x = -1 or x = -1
(iii)
Given equation is 4x²-24x-36 = 0
⇛ 4(x²-6x-9) = 0
⇛ x²-6x-9 = 0
⇛ x²-2(x)(3) = 9
On adding 3² both sides then
⇛ x²-2(3)x)+3² = 9+9
⇛ (x-3)² = 18
⇛ (x-3) = ±√18
⇛ x-3 = ±√(2×9)
⇛ x-3 = ±3√2
⇛ x = 3±3√2
⇛ x = 3+3√2 or 3-3√2
Answer:
3216
Step-by-step explanation:
if the number to the right is greater than 5, it gets rounded up.
Answer:
1/64, 1/256, 1/1024
Step-by-step explanation:
To get from 16 to 4 we multiply by 1/4
To get from 4 to 1 we multiply by 1/4
Each time we multiply by 1/4
The next term would be 1/16 * 1/4
1/16 * 1/4 = 1/64
The take that term 1/64 and multiply by 1/4
1/64*1/4 = 1/256
Finally take 1/256 and multiply by 1/4
1/256*1/4 =1/1024
Answer:
a: 162
b: 142
Step-by-step explanation:
a: december 1=2
a: december 2=6
a: december 3 = 6 x 3 = 18
a: december 4 = 18 x 3 =54
a: december 5 = 54 x 3 =162
~ triples the number of newspapers means "x3" ~
so on the last day, 162 newspapers
B: sum up all the newspapers:
2 + 6 + 18 + 54 + 162
= 8 + 18 + 54 + 162
= 26 + 54 + 162
= 80 + 162
= 242 all in total newspapers
