Answer:
(a) 350
(b) 175
(c) 21
(d) 196
Step-by-step explanation:
Number of females = 7
Number of males = 5
Total ways of selecting r items from n items is
(a)
Total ways of selecting 3 females and 2 males.
(b)
Total ways of selecting 4 females and 1 male.
(c)
Total ways of selecting 5 females.
(d)
Total ways of selecting at least 4 females.
Total ways = 4 females + 5 females
Answer:
f
Step-by-step explanation:
Step-by-step explanation:
The Taylor series expansion is:
Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!
f(x) = 1/x, a = 4, and n = 3.
First, find the derivatives.
f⁽⁰⁾(4) = 1/4
f⁽¹⁾(4) = -1/(4)² = -1/16
f⁽²⁾(4) = 2/(4)³ = 1/32
f⁽³⁾(4) = -6/(4)⁴ = -3/128
Therefore:
T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!
T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³
f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0. So we can eliminate the top left option. That leaves the other three options, where f(x) is the blue line.
Now we have to determine which green line is T₃(x). The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).
The bottom right graph is the only correct option.
Answer:
x = -1/7
Step-by-step explanation:
Solve for x
9-17x-5-4x=7
Combine like terms
-21x +4 = 7
Subtract 4 from each side
-21x-4+4 = 7-4
-21x = 3
Divide each side by -21
-21x/-21 = 3/-21
x = -1/7
Check
9 - 17(-1/7) -5 -4(-1/7) =7
9 + 17/7 -5 + 4/7 =7
4 +21/7 = 7
4+3 = 7
7=7
