If by 4x(2) you mean 4x to the power 2 or 4x^2...it can be solved in the following way
f(x)=4x^2-4x-3
=4x^2+2x-6x-3
=2x(2x+2)-3(2x+2)
=(2x-3)(2x+2)
Therefore x=3/2 or x=-2/2=(-1)
Answer:
32
Step-by-step explanation:
No of desks along length of the rectangle = 7 as it is 7 rows wide.
No of desks along breadth of the rectangle = 7 as it is 5 rows long.
Total number of students is product of these two numbers.
So number of students = 35.
But three desks are empty.
Total students = 35- 3
= 32.
Answer:
0
Step-by-step explanation:
Multiplying the first equation by xy, we have ...
x^2 +y^2 = -xy
Factoring the expression of interest, we have ...
x^3 -y^3 = (x -y)(x^2 +xy +y^2)
Substituting for xy using the first expression we found, this is ...
x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0
The value of x^3 -y^3 is 0.
Answer:
a) 55°
b) 125°
c) 55°
d) 55°
Step-by-step explanation:
a) 180-(90+35) = 55
b) this angle forms a straight angle with ∡a
c) this angle is vertical, and congruent, with ∡a
d) 180-(70+55) = 55
5 days nick will have 32.50 dollars and Bob will have 16.5.
After 10 days nick will have 25 dollars and Bob will have 24 dollars
On the 11th day Nick will have 23.50 dollars and Bob will have 25.5 dollars.
It will take bob 11 days to have more money than nick.
