Answer:
6x + 2
Step-by-step explanation:
2(3x + 1)
Multiply 2 with 3x and 1.
<u>6x + 2</u>
Answer:
a) The employer can fill the four positions in 495 ways.
b) The employer can fill the four positions in 210 ways.
Step-by-step explanation:
The order is not important.
For example:
Selecting John, Laura, Mary and Tre'Davious is the same as selecting Laura, John, Mary and Tre'Davious.
So we use the combinations formula to solve this problem.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
(a) the selection is random
There are 12 people, and 4 are selected. So
(b) exactly two selections are women?
There are 7 men and 5 women. We want to select 2 men and 2 women. So
Answer:
9.4175
Step-by-step explanation:
Choice A is the answer
Why? Because we start with 4, which is denoted a_1 = 4, and because we multiply each previous term by -3 to get the next term (which is what the second row of choice A says).
To ease your problem, consider "L" as you x-axis
Then the coordinate become:
A(- 4 , 3) and B(1 , 2) [you notice that just the y's changed]
This is a reflection problem.
Reflect point B across the river line "L" to get B', symmetric of B about L.
The coordinates of B'(1 , -1) [remember L is our new x-axis]
JOIN A to B' . AB' intersect L, say in H
We have to find the shortest way such that AH + HB = shortest.
But HB = HB' (symmetry about L) , then I can write instead of
AH + HB →→ AH + HB'. This is the shortest since the shortest distance between 2 points is the straight line and H is the point requiered
