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
stira [4]
3 years ago
15

(x + 9) (x + 1) Use the FOIL method, then Explain

Mathematics
1 answer:
viva [34]3 years ago
5 0

Answer:

xˆ2+10x+9

Step-by-step explanation:

first, multiply x by x and by 1, that would be (xˆ2 and x), then multiply 9 by x and 1, that would be( 9x and 9), add the two parenthesis, and it totals out to xˆ2+10x+9

You might be interested in
A square pyramid having a base perimeter of 25cm and a hight of 6cm
Sindrei [870]

Answer:

Do you want to know the surface area of the triangle or the perimeter of the triangle?

Step-by-step explanation:

If you are looking for the Surface area, plug your numbers in this formula: SA=(p x h)/(2) + B where SA is the surface area of the pyramid, p is the perimeter of the base, h is the slant height of the pyramid, and B is the area of the base.


4 0
3 years ago
Demetrius received his phone bill in the mail. The bill was for $99.00 and the sales tax was 4.5%. He ended up paying $94.54 for
Margaret [11]

Answer:

false

Step-by-step explanation:

i think the answer is false srry if i am wrong

3 0
2 years ago
If 8 = 27 and F = 540, find ). Round to the nearest tenth.
pychu [463]

Answer: F=160

Step-by-step explanation:

if

8=27

F = 540

multiply 540 x 8 /27 = F = 160

4 0
2 years ago
A search committee is formed to find a new software engineer. (a) If 100 applicants apply for the job, how many ways are there t
vagabundo [1.1K]

These are three questions with three complete answers.

Answers:

(a) C(100,6) = 100! / [ 9! × (100 -9)! ] =

              = (100×99×98×97×96×95×94×93×92) / (9×8×7×6×5×4×3×2×1) =

              = 1,902,231,808,400

(b) C(9,6) = 9! / [ 6! * (9 - 6)! ] = 9! / [6! 3!] = (9 × 8 × 7 × 6!) (6! × 3 × 2 × 1) =

          =  (9 × 8 × 7 × 6!) (6! × 3 × 2 × 1) =  (9 × 8 × 7 ) / (3 × 2 × 1) = 84

(c) P(6,3) = 6! / (6 - 3)! = 6! / 3! = (6 × 5 × 4 × 3!) / 3! = 120

Step-by-step explanation:

(a) If 100 applicants apply for the job, how many ways are there to select a subset of 9 for a short list?

This is the formula for combinations: C (m,n) = m! / [n! (m - n)! ].

We will also use the formula for permutations, only as an intermediate step, to explain the solution. The formula for permutations is: P (m,n) = m! / (m - n)!

Next you will see why the final formula that you can use to solve the problem is that of combinations (because the order in which you make the list does not matter) and how you use it.

You have to select a subset of 9 candidates from a list of 100 applicants.

The first candidate may be chosen from the 100 different applicants, the second candidate may be chosen from the 99 left applicants, the third candidate from 98 applicants, and so on, which leads to:

  • 100 × 99 × 98 × 97 × 96 × 95 × 94 × 93 × 92 possible variants.

Note that this is the permutation of 100 candidates taken from 9 in 9:

P(100,9)  = 100! (100 - 9)! = 100! / (91!) =

              = 100 × 99 × 98 × 97 × 96 × 95 × 94 × 93 × 92 × 91! / 91! =

              = 100× 99 × 98 × 97 × 96 × 95 × 94 × 93 × 92.

But you have to eliminate the repetitions!

Suppose that A, B, C, D, E, F, G, H, I represents the set formed by nine selected members whose names are A, B, C, D, E, F, G, H and I. So, any combination of those same names, written in different order, represents the same set (list). That means that there are 9! = 9× 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 equivalent lists.

That is why you must divide the first result (possible ways in which you can select nine candidates) by the number of ways that represent the same list for every set.

So, the conclusion is that the number of different lists of nine candidates is:

C(100,6) = 100! / [ 9! × (100 -9)! ] =

              = (100×99×98×97×96×95×94×93×92) / (9×8×7×6×5×4×3×2×1) =

              = 1,902,231,808,400

(b) If 6 of the 9 are selected for an interview, how many ways are there to pick the set of people who are interviewed? (You can assume that the short list is already decided).

Since, the short list, i.e. the  subset of 9 candidates is already decided, you will select 6 candidates to interview from 9 possible candidates.

So, your final set of candidates to interview will be the combination of 9 candidates taken from 6 in 6. The order of the names A, B, C, D, E, F, and G, is not relevant, and, therefore, the formula to use is that of combinations:

  • C (m,n) = m! / [n! (m - n)! ]

  • C(9,6) = 9! / [ 6! * (9 - 6)! ] = 9! / [6! 3!] = (9 × 8 × 7 × 6!) (6! × 3 × 2 × 1) =

                   =  (9 × 8 × 7 × 6!) (6! × 3 × 2 × 1) =  (9 × 8 × 7 ) / (3 × 2 × 1) = 84

(c) Based on the interview, the committee will rank the top three candidates and submit the list to their boss who will make the final decision. (You can assume that the interviewees are already decided.) How many ways are there to select the list from the 6 interviewees?

Ranking the top three candidates means that the order matters. Because it is not the same A, B, C than A, C, B, nor B, A, C, nor B, C, A, nor C, A, B, nor C, A, B.

Hence, you have to use the formula for permutations (not combinations).

The formula is: P(m,n) = m! / (m - n)!

Here, you must rank (select) 3 names, from a set (list) of 6 names, and the formula yields to:

  • P(6,3) = 6! / (6 - 3)! = 6! / 3! = (6 × 5 × 4 × 3!) / 3! = 120

4 0
2 years ago
This is literally my final send help pls
worty [1.4K]

Answer:

6.25

Step-by-step explanation:

5 is almost the half of it and 4 is the other/ sorry I'm not very good at explaining

8 0
2 years ago
Other questions:
  • What number makes the expressions equivalent? Enter your answer in the box. 12 (–1.4m + 0.4) = m + 0.2
    11·2 answers
  • ASAP HELP MEeeeeeeeee
    13·1 answer
  • URGENT...
    7·2 answers
  • Math help j: pls Heh
    5·1 answer
  • HELP ME PLZZ!!! EASY BUT I DONT GET IT!!!
    12·1 answer
  • Assessment: To help assess student learning in her developmental math courses, a mathematics professor at a community college im
    6·1 answer
  • Someone help me please
    11·1 answer
  • Neighborhood block: StartFraction 3 over 20 EndFraction miles. A rectangle has a width of w. Perimeter = 3 20 + w + 3 20 + w Bij
    9·1 answer
  • Cual es la utilidad de la representacion a escala de diferentes distancias reales
    13·1 answer
  • What is the result of adding the system of equations? Equation 1: 2x + y = 4 Equation 2: 3x - y = 6 A) 5x = 10 B) x = 5 C) x = 1
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!