Answer:
-1
Step-by-step explanation:
2 × (-1²) + 1 = 2 × (-1) + 1 = -2 + 1 = -1
Answer:
let seat as x,
and snack as y.
so the linear equation is 20x+5y=400.
Answer: Negative
If the same negative number is multiplied to each side of a true inequality, then the inequality sign flips to make the new inequality true as well
Example:
Take 1 < 5 and multiply both sides by -2 and we get -2 > -10. The "less than" sign flips to "greater than" since -2 < -10 is false. The value of -10 is further to the left of -2 so -10 is smaller in value. The negative basically takes the complete opposite which is why the flip must happen.
This sign flip rule does not happen if you multiply both sides by a positive number.
Answer:
140
Step-by-step explanation:
To construct a subset of S with said property, we have two choices, include 3 in the subset or include four in the subset. These events are mutually exclusive because 3 and 4 can not both be elements of the subset.
First, let's count the number of subsets that contain the element 3.
Any of such subsets has five elements, but since 3 is already an element, we only have to select four elements to complete it. The four elements must be different from 3 and 4 (3 cannot be selected twice and the condition does not allow to select 4), so there are eight elements to select from. The number of ways of doing this is
.
Now, let's count the number of subsets that contain the element 4.
4 is already an element thus we have to select other four elements . The four elements must be different from 3 and 4 (4 cannot be selected twice and the condition does not allow to select 3), so there are eight elements to select from, so this can be done in
ways.
We conclude that there are 70+70=140 required subsets of S.
If it is (x-4)(x-2)3x than the answer is 3x(x^2-4x-2x+8) = 3x(x^2-6x+8) = 3x^3 - 18x^2 + 24x
If it is (x+4)(x-2)3x than the answer is 3x(x^2+4x+2x+8) = 3x(x^2+6x+8) = 3x^3 + 18x^2 + 24x