Answer:
B. is greater than
Step-by-step explanation:
As the graph of function f(x) is a parabola, so that the equation of function f(x) is: f(x) = 
As it can be seen in thee figure, the graph of function f(x) cross points (0;8) ;(-2; 0) and (4;0)
=> f(0) = 8; f(-2) = 0; f(4) = 0
We have:
- f(x=0) = a x 0 + b x 0 + c = 8 => c = 8
- f (x=-2) =
= 4a -2b + 8 = 0
- f (x=4) =
= 16a + 4b + 8 = 0
We have:
+) 4a -2b + 8 = 0 => 2 x (4a -2b + 8) = 8a - 4b + 16 = 0 (1)
+) 16a + 4b + 8 = 0 (2)
We take (2) minus (1)
=> (16a + 4b + 8) - (8a - 4b + 16) = 0
=> 8a - 8 = 0 => a = 1
Replace a = 1 into (1)
=> 8 x 1 - 4b + 16 = 0 => b = 6
So that: 
f (2) = 2^2 + 6 x 2 + 8 = 24
g (2) = 3 -2 + 2 = 3
<em>=> f(2) is greater than g(2)</em>
The value of x is 3.
Solution:
Length of the top rectangle = x ft
Width of the top rectangle = x ft
Height of the top rectangle = 3x ft
Volume of the top rectangle 
Volume of the top rectangle 
cubic feet
Length of the bottom rectangle = 
ft
Width of the bottom rectangle = ft
Height of the bottom rectangle = 0.5 ft
Volume of the bottom rectangle 
Volume of the bottom rectangle 
cubic feet
Total concrete for both pieces = 90 cubic feet.
Volume of top + volume of bottom = 90 cubic feet
Solve by factoring.
x = 3, 
Solve using quadratic formula,
Ignore the complex roots.
The value of x is 3.
Answer:
Length of BD = 
+6x - 40
Step-by-step explanation:
In parallelogram ABCD , diagonals AC and BD intersect at E .
In a parallelogram , the two opposite sides are parallel and equal in length.
Also opposite angles of a paralleogram are equal .
Here the length of the parts of a diagonal is given.
BE = 
- 40
DE = 6x
Since the length of whole diagonal is the sum of the lengths of the parts of the diagonal ,
Length of BD = BE + DE
= -40 + 6x
Length of BD = +6x - 40
Answer:
This is a no solution (if you're asking to solve this equation). It will lead to:
20 = 12
Which is NOT equal.
The answer is thus No Solution.
Step-by-step explanation:
4(x + 5) = 4(3 + x) ~ Distribute it
4x + 20 = 12 + 4x ~ Subtract the x
20 = 12 ~ Remaining
20 does NOT equal 12.
The answer is No Solution.
--------------------------------------------------
Factorise a² - b² :
--------------------------------------------------
--------------------------------------------------
Crossed out common factors, (x + a) :
--------------------------------------------------
