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Archy [21]
3 years ago
12

Factor -7x3 + 21x2 + 3x - 9 by grouping. What is the resulting expression?

Mathematics
1 answer:
irga5000 [103]3 years ago
8 0

Answer:

(x-3)(-7x^2+3) is the resulting expression after grouping

Step-by-step explanation:

Given:

-7x^3+21x^2+3x-9

Now taking common -7x^2 from 1st 2 numbers and and 3 common from last we get

-7x^2(x-3)+3(x-3)

Now taking x-3 common from both numbers we get

(x-3)(-7x^2+3) which is the final equation after grouping

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What two numbers add up to 10 and multiply to 21
WITCHER [35]

Answer:The answer is 3 & 7

Step-by-step explanation:3 x 7 = 21

3 + (7) = 10

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x2 + 10x + 21 = 0

If so, the solution to factor the quadratic equation above is:

(X + 3 ) (X + 7)

To summarize, since 3 and 7 multiply to 21 and add up 10, you know that the following is true:

x2 + 10x + 21 = (X + 3 ) (X + 7)

3 0
3 years ago
The photograph club has 28 members. There are 12 boys in the club.
Hoochie [10]
You do 28-12 to find out how much girls there are then you get 16 and you have the ratio of 12/16 then divide by 4. Then you get 3/4 boys to girls
8 0
3 years ago
Read 2 more answers
In a school of 685 students, there are 385 students involved in sports teams, and there are
svet-max [94.6K]

Answer:

A) check attached picture

B) 272

C) 0.4478

Step-by-step explanation:

From the information given ;

A) The Venn diagram of the information can be found in the attached picture.

B) Number of students involved in both team sports and music.

n(student in sports team) = 385

n(students involved in music) = 450

Number of students involved in both music and team sport = y

Number of students not involved in either team sport or music = 87

Total number of students = 650

Therefore,

n(music alone) = 450 - y

n(team sport alone) = 385 - y

Adding the following:

n(music alone) + n(team sport alone) + n( both music and team sport) + n(neither music nor team sport) = Total number of students

450 - y + 385 - y + y + 87 = 650

922 - y = 650

922 - 650 = y

y = 272

Therefore, number of students involved in both music and team sport = 272

C) probability of being involved in team sport or in music.

P(being involved in music) = (450 - 272) / 650 = 0.2738

P(being involved in team sport) = (385 - 272) / 650 = 0.1738

P(involved in both) = 272 / 650 = 0.4184

P(involved in neither) = 87 / 650 = 0.1338

P(being involved in team sport) or p(being involved in music)

P(being involved in team sport) + p(being involved in music)

0.1738 + 0.2738 = 0.4478

3 0
3 years ago
A notebook has a perimeter of 36 inches and an area of 80 square inches. What are the dimensions of the notebook?
maw [93]
Let L be length and W be width
The perimeter of a rectangle is 2W+2L=36
Thus 2W=36-2L, W=18-L
Area of a rectangle is WL=80
Thus (18-L)(L)=80
18L-L^2=80
L^2-18L+80=0
(L-8)(L-10)
Thus L can either be 8 or 10.
Because WL=80
If L is 8, then W=10
If L is 10, then W=8
So either way, the notebook is 8 by 10
4 0
3 years ago
3 3/4 ÷ (1 2/3 + 2 1/2)​
ZanzabumX [31]

Answer:

9/10.

Step-by-step explanation:

3 3/4 ÷ (1 2/3 + 2 1/2)​

= 3 3/4 / ( 5/3 + 5/2)

= 3 3/4 / ( 10/6 + 15/6)

= 3 3/4 / 25/6

= 15/ 4 / 25/6

= 15/4 * 6/25

= 90/100

= 9/10.

4 0
2 years ago
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