Answer:
Remainder when p(x) is divided by (x+2) is -29
Step-by-step explanation:
p(x) = 
When p(x) is divided by (x-2), remainder is 19.
p(x - 2 = 0) gives the remainder when p(x) is divided by (x-2)
x - 2 = 0
x = 2
p(x-2=0) = p(2) = 
= 19
8 - 8 + 16 + k = 19
k = 3
p(x) = 
p(x + 2 = 0) gives the remainder when p(x) is divided by (x+2)
x + 2 = 0
x = -2
p(x+2=0) = p(-2) = 
p(-2) = - 8 - 8 - 16 + 3 = -29
Remainder when p(x) is divided by (x+2) is -29
GIVEN
1) Females outnumber males by 3 to 2.
2) There are 1770 people in the city.
SOLUTION
Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:
If there are 3 females for every 2 males, we have that:
We can substitute equation (2) into equation (1) and solve for y:
Dividing both sides by 5, we have
There are 1062 females in the county.
3.5 3.4 3.3 3.2 3.1 3 -5.5 -1 -2
Answer:
See answer below
Step-by-step explanation:
For the first expression
3 x (x - 2) + 2 = 3 x^2 - 6 x + 2
evaluated at x= 4 we get: 26
and for x = 5 we get 47.
For the second expression
2 x^2 + 3 x - 18
we get the exact same values when doing the evaluation at these two points.
Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.
