B) If A x B = {(-1, 1), (-1, 2), (2, 1), (2, 2), (3, 1), (3, 2)}. Find A x A and B x B.
Oduvanchick [21]
hope this helps!
Step-by-step explanation:
A = {-1, 2, 3}
B = {1,2}
AxA = {(-1,-1) (-1,2) (-1,3) (2,-1) (2,2) (2,3) (3,-1) (3,2) (3,3)}
BxB = {(1,1) (1,2) (2,1) (2,2)}
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
The standard deviation is a measure of the variation of the data about the mean. So false.
