Answer:
1. 5040
2. 20
Step-by-step explanation:
1. using the formula for permutation
nPr=n!/(n-r)!
10P4 = 10!/(10-4)!
=10*9*8*7*6!/6!
then we are left with
=10*9*8*7
=5040
2.using the formula for combination
nCr=n!/(n-r)!r!
6C3=6!/(6-3)!3!
=6*5*4*3!/3!3!
=6*5*4/3*2*1
=20
To find the y intercept you use this equation:
y2 - y1
Same for x intercept:
x2 - x1
Pick two points, put in the values, and solve.
(-5,-7) and (0,-5)
-5 - (-7) = 2
0 - (-5) = 5
The y intercept is (0,2)
The x intercept is (5,0)
Hope this helps! :)
-Peredhel
Answers
1) 4
2) 0, 2, -10
3) 0, 5, -2
Step-by-step explanation:
1) x³ - 64 = 0
x³ = 64
x = 4
2) x³(x² + 8x - 20) = 0
x³(x² + 10x - 2x - 20) = 0
x³(x(x + 10) - 2(x + 10)) = 0
x³(x + 10)(x - 2) = 0
x = 0, 2, -10
3) x³ - 3x² - 10x = 0
x(x² - 3x - 10) = 0
x(x² - 5x + 2x - 10) = 0
x(x(x - 5) + 2(x - 5)) = 0
x(x - 5)(x + 2) = 0
x = 0, 5, -2
Answer:
Step-by-step explanation:
f(x) = 2x + 5
f(-6)= 2(-6) + 5 = -12 + 5 = -7
Answer:
Mean of City A is 3.6. Mean of City B is 4.6.
Step-by-step explanation:
To find the mean of a data set you add all the numbers in the data set and then divide your answer by how many numbers are in the data set.
