Answer:
15 weeks
Step-by-step explanation:
Week 1: 1,050 ≠ 0
Week 2: 1,010 ≠ 35
Week 3: 970 ≠ 70
Week 4: 930 ≠ 105
Week 5: 890 ≠ 140
Week 6: 850 ≠ 175
Week 7: 810 ≠ 210
Week 8: 770 ≠ 245
Week 9: 730 ≠ 280
Week 10: 690 ≠ 315
Week 11: 650 ≠ 350
Week 12: 610 ≠ 385
Week 13: 570 ≠ 420
Week 14: 530 ≠ 455
Week 15: 490 = 490
Answer:
-3+15i
Step-by-step explanation:
Apply complex arithmetic rule: 
-3 * 3 -3 (-2) = -3
Answer:
rpi^2 or pir^2
Step-by-step explanation:
radius times pi to the second
Answer:
a = 5
Remainder when p(x) is divided by x+2 = 62
Step-by-step explanation:
Given:
P(x) = x⁴-2x³+3x²-ax+3a-7
When x+1 divides the polynomial p(x) the ramainder is 19.
Applying remainder theorem,
x = -1
p(-1) = 19
Substitute the x = -1 into the polynomial expression
p(-1) = (-1)⁴-2(-1)³+3(-1)²-a(-1)+3a-7 = 19
1+2+3+a+3a-7 = 19
6-7+4a = 19
4a-1 = 19
4a = 19+1
4a = 20
a = 20/4
a = 5.
Hence, a = 5
p(x) = x⁴-2x³+3x²-5x+8
If p(x) is divided by x+2,
Then the remainder is p(-2)
p(-2) = (-2)⁴-2(-2)³+3(-2)²-5(-2)+8
p(-2) = 16+16+12+10+8
p(-2) = 62
Hence the remaider when p(x) is divided by x+2 is 62
