1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
QveST [7]
3 years ago
7

Need help....... thx

Mathematics
1 answer:
Blababa [14]3 years ago
5 0

I got 75582.

Explanation:

First, group the 40 identical candies into 20 pairs. It doesn't matter how since the candies are identical. This grouping will ensure that any assigment will contain at least two candies.

Then think of the 20 groups a 20 beads on a string. We are looking to place 11 separators between them to obtain 12 segments, each with a varying number of beads between them. How many ways are there to place 11 separators to 19 potential spaces between beads? The asnwer is n = {19\choose{11}}=75582


You might be interested in
If(x) = x + 2 and h(x) = x-1, what is f • h](-3)?
deff fn [24]

Answer/Step-by-step explanation:

Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.

f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not

the same as g ◦ f. (This means that composition is not commutative).

f ◦ g ◦ h is the composition that composes f with g with h.

Since when we combine functions in composition to make a new function, sometimes we

define a function to be the composition of two smaller function. For instance,

h = f ◦ g (1)

h is the function that is made from f composed with g.

For regular functions such as, say:

f(x) = 3x

2 + 2x + 1 (2)

What do we end up doing with this function? All we do is plug in various values of x into

the function because that’s what the function accepts as inputs. So we would have different

outputs for each input:

f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)

f(0) = 3(0)2 + 2(0) + 1 = 1 (4)

f(2) = 3(2)2 + 2(2) + 1 = 12 + 4 + 1 = 17 (5)

When composing functions we do the same thing but instead of plugging in numbers we are

plugging in whole functions. For example let’s look at the following problems below:

Examples

• Find (f ◦ g)(x) for f and g below.

f(x) = 3x + 4 (6)

g(x) = x

2 +

1

x

(7)

When composing functions we always read from right to left. So, first, we will plug x

into g (which is already done) and then g into f. What this means, is that wherever we

see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).

g(x) = x

2 +

1

x

(8)

f(x) = 3x + 4 (9)

f( ) = 3( ) + 4 (10)

f(g(x)) = 3(g(x)) + 4 (11)

f(x

2 +

1

x

) = 3(x

2 +

1

x

) + 4 (12)

f(x

2 +

1

x

) = 3x

2 +

3

x

+ 4 (13)

Thus, (f ◦ g)(x) = f(g(x)) = 3x

2 +

3

x + 4.

Let’s try one more composition but this time with 3 functions. It’ll be exactly the same but

with one extra step.

• Find (f ◦ g ◦ h)(x) given f, g, and h below.

f(x) = 2x (14)

g(x) = x

2 + 2x (15)

h(x) = 2x (16)

(17)

We wish to find f(g(h(x))). We will first find g(h(x)).

h(x) = 2x (18)

g( ) = ( )2 + 2( ) (19)

g(h(x)) = (h(x))2 + 2(h(x)) (20)

g(2x) = (2x)

2 + 2(2x) (21)

g(2x) = 4x

2 + 4x (22)

Thus g(h(x)) = 4x

2 + 4x. We now wish to find f(g(h(x))).

g(h(x)) = 4x

2 + 4x (23)

f( ) = 2( ) (24)

f(g(h(x))) = 2(g(h(x))) (25)

f(4x

2 + 4x) = 2(4x

2 + 4x) (26)

f(4x

2 + 4x) = 8x

2 + 8x (27)

(28)

Thus (f ◦ g ◦ h)(x) = f(g(h(x))) = 8x

2 + 8x.

4 0
2 years ago
Choose the inequality below that x=0 is a solution to.
krok68 [10]

remember: a filled dot means it includes that point and an empty dot means it doesn't


A. has empty dot at 0 so x=0 is not incuded in the solution

B. has filled dot at x=0 so x=0 is a solution

C. has empty dot at 0 so x=0 is not incuded in the solution

D. the line doesn't even go over x=0 so not a solution


answer is B

8 0
3 years ago
Paco solves the equation -3x-5=1
Levart [38]

Answer:

x= -2

Step-by-step explanation:

-3x-5=1

+5 on each side to balance the equation:

-3x=6

Divide by -3 on each side:

x=-2

7 0
3 years ago
Read 2 more answers
Identify the equivalent expression for (m^1/3 m^1/5)^0
Lostsunrise [7]

Answer:

1.

Step-by-step explanation:

The thing is, x^0 is always 1. So even if you simplify, it will still be 1.

(m^\frac{1}{3}*m^\frac{1}{5})^0\\(m^\frac{8}{15})^0\\\text{But when put to the power of 0,}\\1.

4 0
3 years ago
Read 2 more answers
You accidentally dropped a coin from the top of 7 stairs. What is the probability that it will land below the sixth step and hea
Sergeeva-Olga [200]
1/7 * 1/2 = 1/14
1/2 because there is a 50/50% chance its either heads or tails 
3 0
3 years ago
Read 2 more answers
Other questions:
  • Write an expression that shows how to multiply 4 x 362 using place value and expanded form.
    10·1 answer
  • If f(x)=-2x+7 and g(x)=x^2 -2 find the general rule for f(g(x))
    11·1 answer
  • F(x)= -2x + 2; Find f(5)
    15·1 answer
  • A corner store sells two kinds of baked goods: cakes and pies. A cake costs $5 and a pie costs $7. In one day, the store sold 15
    9·1 answer
  • To the nearest ten thousand, the population of Vermont was estimated to be about 620,000 in 2008. What might have been the exact
    11·1 answer
  • Which simplified ratio correctly compares 5 meters to 100 centimeters
    9·1 answer
  • Check my last question is u want 10 pts
    9·1 answer
  • A wave travels 5/4, mile in 1/12 hour. At this rate, how far will the wave travel in 1 hour? Find the unit rate.
    10·1 answer
  • Which value from the set (5,7,9,11,13) make inequality w-4<8 true?
    9·1 answer
  • 1/2a - 4 = 6 try and answer this question
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!