Answer:
1) The factors of 
are 
Option C is correct.
3) The factors of 
are 
Option B is correct.
Step-by-step explanation:
1) Factor :
For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.
The middle term : -3x
We can break them as (-2x)( -x)
Solving:
So, factors of are
Option C is correct.
3) Factor:
For factoring we need to break the middle term, such that there sum is equal to middle term of expression and product is equal to product of first and last term.
The middle term : 2x
We can break them as (4x)( -2x)
Solving
So, factors of are
Option B is correct.
To find the probability that both balls are white you will find the probability of getting a while ball from each situation separately and then multiply these probabilities together.
1. 7/14 or 1/2 chance
2. 3/9 or 1/3 change
1/2 x 1/3 = 1/6
You will have a 1 in 6 chance of getting a white ball from both urns.
Answer:
(y^2)/4 square meters
Step-by-step explanation:
For a perimeter length of x, the side of a square will be x/4 and its area will be (x/4)^2.
If one side of the square is shortened by y/2 and the adjacent side is lengthened by y/2, then the difference in side lengths will be y. The area of the resulting rectangle will be ...
(x/4 -y/2)(x/4 +y/2) = (x/4)^2 -(y/2)^2
That is, the difference in area between the square and the rectangle is ...
(x/4)^2 - ((x/4)^2 -(y/2)^2) = (y/2)^2 = y^2/4
The positive difference between the area of the square region and the area of the rectangular region is y^2/4 square meters.
The original price of the hat is $35. Paolo paid $28 for the hat.
So discount for the hat is $(35-28) = $7
$7 is discounted from $35. We have to find the percentage of the discount.
To find the percentage we have to divide the discount amount by the original price and then have to multiply it by 100.
So the discount percentage =
((7/35)×100) %
We can simplify 7/35 by dividing 7 and 35 both by 7. So we will get 1/5 after simplifying.
((1/5) ×100) %
(100/5)% = 20%
So the hat was discounted by 20%.
Answer:
55
Step-by-step explanation:
Since there is a right angle at the bottom, we know that x and angle 35 degrees form a right angle so 90 minus 35 is 55.
