1=D
2=E
3=B
4=C
5=A
................,
Answer:
x<2
Step-by-step explanation:
multiply 5 by the numbers inside the parenthesis
5x-10<-3x+6
add 10 to both sides
5x-10+10<-3x+6+10
simplify
5x<-3x+16
add 3x to both sides
5x+3x<-3x+16+3x
simplify
8x<16
divide by 8
8x/8 < 16/8
x<2
x^2 - 4
------------------------------
x + 7 | x^3 + 7x^2 - 4x - 28
x^3 + 7x^2
------------------
0 - 4x - 28
-4x - 28
-------------
0
Now we know that
x^3 + 7x^2 - 4x - 28 = (x^2 - 4)(x + 7)
x^2 - 4 can be factored since it is the difference of two squares.
x^2 - 4 = (x + 2)(x - 2)
The complete factoring is:
x^3 + 7x^2 - 4x - 28 = (x +2)(x - 2)(x + 7)
Answer:

Step-by-step explanation:
we know that
The area of rectangle is equal to

we have


substitute the given values in the formula of area

Remember that
----> by completing the square
substitute

Simplify

Answer:
The average number of customers per day during the sale was 150.
Step-by-step explanation:
This question can be solved using a rule of three.
Before the sale, the average number of customers per day was 120, which is 100% = 1.
Now, there are x customers, and since it is an increase of 25%, it is 100+25 = 125% = 1.25. So
120 - 1
x - 1.25
x = 1.25*120 = 150
The average number of customers per day during the sale was 150.