The values of a and b are -3 and -1 respectively
x³ + ax ²+ bx + 6 has (x - 2) as a factor. Therefore,
(2)³ + a2²+ 2b + 6 = 0
8 + 4a + 2b + 6 = 0
4a + 2b = -14
x³ + ax ²+ bx + 6 leaves a remainder 3 when divided by (x - 3). Therefore,
(3)³ + a3²+ 3b + 6 = 3
27 + 9a + 3b + 6 = 3
9a + 3b = 3 - 33
9a + 3b = -30
<h3>Simultaneous equation:</h3>
4a + 2b = -14
9a + 3b = -30
2b = -14 -4a
b = -7 - 2a
Therefore,
9a + 3( -7 - 2a) = -30
9a - 21 - 6a = -30
3a = -30 + 21
3a = -9
a = -9 / 3
a = -3
4a + 2b = -14
4(-3) + 2b = -14
-12 + 2b = -14
2b = -14 + 12
2b = -2
b = -2 / 2
b = -1
learn more on factors here:brainly.com/question/23689213?referrer=searchResults
Answer:
2000 litres
Step-by-step explanation:
find the volume
v =2m×1m×1 m
= 2 m3
1m3 =1000litres
2m3=????
<em>cross</em><em> </em><em>multiply</em><em> </em><u> </u><u> </u><u> </u>
<u>2m3</u><u> </u><u>×</u><u>1000litres</u>
<u> </u><u> </u><u> </u><u> </u><u>1m3</u>
<u>Ans</u><u> </u><u>=</u><u> </u><u>2000litres</u><u> </u>
The fourth and first one. :)
Answer:
See below ~
Step-by-step explanation:
Question 6(e) :
⇒ x² ≤ 16
<em>Take square root on each side :</em>
⇒ √x² ≤ √16
⇒ x ≤ 4 and x ≥ -4
⇒ -4 ≤ x ≤ 4
