Answer:
Step-by-step explanation:
If we write the inequality out, we get this:
x <1/4
(
3
x
+
4
)
Now we just need to solve for x. Multiplying both sides by 4 yields:
4
x
<
3
x
+
4
Subtract 3x from both sides:
x
<
4
So any number less than 4 will work!
X^2 - 10x + 15 = 0
x^2 - 10x = -15
x^2 - 10x + 25 = -15 + 25
(x - 5)^2 = 10 <====
x - 5 = (+-)sqrt 10
x = 5 (+-) sqrt 10
solutions are :
x = 5 + sqrt 10 and x = 5 - sqrt 10
Answer:
D
Step-by-step explanation:
Refer to the attached image.
Let the width of the border be 'x' inch.
Area of border = Area of rectangle ABCD - Area of rectangle PQRS
Area of rectangle ABCD = 
= 
=
square units.
Area of rectangle PQRS = 
= 
= 117 square units.
So, area of border =
As it is given that the area of border is 48 square units.
So, 


So, the complete equation is
.
Now, we will find 'x' in the equation
,


(x-1) (x+12)=0
So, x = 1 or x = -12
Width can'not be negative.
So, x = 1 .
Therefore, the width of the border can'not be 2.5 inch.
Therefore, the width of the border is 1 inch.