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
Answer:
Symmetry of functions
A function is an even function if its graph is symmetric with respect to the yyy-axis.
Algebraically, fff is an even function if f(-x)=f(x)f(−x)=f(x)f, left parenthesis, minus, x, right parenthesis, equals, f, left parenthesis, x,
Step-by-step explanation:
MARK ME AS A BRAINLIST
Answer:
Y = -2X + 7
Step-by-step explanation:
Y = a(x-h)^2 + k
From (h,k) h = 0 k = 7 x = 2 y = 3
3 = a(2-0) + 7
3 = 2a - 0 + 7
Collect like terms
2a = 3 - 7
2a = -4
Divide both sides by 2
2a/2 = -4/2
a = -2
y = a(x-h) + k
y = -2(x-0) + 7
y = -2x + 0 + 7
y = -2x + 7 or
y + 2x - 7 = 0
Answer:
Third option: 12x^2+8x+25
Step-by-step explanation:
s1=8x^2
s2=4x^2+15
s3=8x+10
Total perimeter of the pool edge: P
P=s1+s2+s3
Replacing s1, s2 and s3 in the formula above:
P=(8x^2)+(4x^2+15)+(8x+10)
P=8x^2+4x^2+15+8x+10
Adding like terms:
P=12x^2+8x+25