Answer:
8190 ways
Step-by-step explanation:
Given
Selection
Required
Number of ways of selection
4 students can be selected from 15 students in:
Similarly.
5 teachers can be selected from 6 teachers in:
So, the required number of selection is:
Apply combination formula:
Answer:
3. 3(x+y)(x-y)
4. (y²+4)(y+2)(y-2)
5. 2(3x+1)(x+2)
Step-by-Step:
3. 3(x²-y²) = 3(x+y)(x-y)
4. y⁴-16 = (y²+4)(y²-4)= (y²+4)(y+2)(y-2)
5. 6x²+14x+4 = 2(3x²+7x+2) = 2(3x+1)(x+2)
PLEASE RATE!!! I hope this helps!!!
If you have any question comment below
(I have verified my answers on an online calculator)
Answer:
1/8, 0.35, 0.39, 5/7, 9/10
Step-by-step explanation:
1/8 = 0.125
5/7 = 0.714
0.350
0.390
9/10 = 0.900
now let's order them from least to greatest:
0.125 , 0.350 , 0.390 , 0.714 , 0.900
= 1/8, 0.35, 0.39, 5/7, 9/10
if you have trouble with these types of problems change them all into decimals which will make things easier!
:D
Answer:
This tells us that:
Step-by-step explanation:
So we are saying we have scalars, c and d, such that:
.
So we want to find a way to express this as:
Ax=b where x is the scalar vector, .
So we can write this as:
Answer:
y = -x + 2
Step-by-step explanation:
We are asked to find the equation of a line
Step 1: find the slope
We are given two points
( 2 , 0) ( 6 , -4)
m = (y_2 - y_1 )/ (x_2 - x_1)
x_1 = 2
y_1 = 0
x_2 = 6
y_2 = -4
Insert the values
m = ( -4 - 0) / ( 6 - 2)
m = -4 / 4
m = -1
Step 2 : substitute m into the equation
y = mx + c
y = -1x + c
Step 3: substitute any of the two points into the equation
Let's pick ( 6 , -4)
x = 6
y = -4
y = mx + c
y = -1x + c
-4 = -1(6) + c
-4 = -6 + c
c = -4 + 6
c = 2
Step 4: substitute c = 2 into the equation
y = mx + c
y = -x + c
y = -x + 2