-10d^2 + 11d - 2
To find this, distribute the - to 7d^2 - d - 6.
This will give you a new equation of:
-3d^2 + 10d - 8 -7d^2 + d + 6
Combine like terms to get the answer above.
Hope this helps!
If there are 4 pens there will be 1 pencil, if there is 1 pencil there will be 4 pens
If the ratio is factored to a number, let's say 3, then there will be 12 pens for every 3 pencils
Answer:
no
Step-by-step explanation:
no because its equal to 2x+10
Answer:
1. 41/45.
2. x/(x^2+3x+6)
Step-by-step explanation:
1.
So first we fill the ven diagram.
There are 240 in band, so we fill that. 60 students are in both, we put that in the middle, and there are 110 people in choir.
now, since we want the probability that a student is chosen that is in band, and choir, and both. We add all this up
240 + 60 + 110 = 410.
The total possible outcome is 410, and the total outcome is 450, so the answer is
410/450 = 41/45
2.
First, to get the total outcomes, we have to add all the expressions together.
x(x-2) + x + 2x+8 = x^2 - 2 + x + 2x + 8 = x^2 - 2 + 3x + 8 = x^2 + 3x + 6.
Since that is the total outcome, we have to find the possible outcomes.
The problem wants BOTH from the 20th century and British, so it is x.
x/(x^2+3x+6). We cannot simplify any further, thus x/(x^2+3x+6) is our answer
Answer:







Step-by-step explanation:
Required
Simplify
Solving (1):

Factorize the numerator and the denominator

Factor out x+2 at the numerator

Express x^2 - 9 as difference of two squares


Expand the denominator

Factorize


Cancel out same factors

Hence:

Solving (2):

Expand the numerator and factorize the denominator

Factorize the numerator

Factor out x - 2

Cancel out x - 2

Hence:

Solving (3):

Express x^2 - 9 as difference of two squares

Factorize all:

Cancel out x + 3 and 3 + x


Express
as 



Hence:

Solving (4):

Expand x^2 - 6x + 9 and factorize 5x - 15

Factorize


Cancel out x - 3

Change / to *

Express
as 



Hence:

Solving (5):

Factorize the numerator and expand the denominator

Factor out x - 1 at the numerator and factorize the denominator

Express x^2 - 1 as difference of two squares and factor out x - 1 at the denominator


Hence:

Solving (6):

Factorize:

Divide by 3x

Hence:

Solving (7):

Change / to *

Expand

Factorize


Cancel out x - 2 and x - 1

Cancel out x



Hence:
