Answer:
x-7>0
Straight answer: x-7
Step-by-step explanation:
Assuming that the timber is X cm long and 7cm was cut off, there remaining amount is x - 7cm. In order for 7cm to be cut off, the timber must have been > 7cm long => x > 7 => x - 7 > 0
Answer:
(4x + 1)(x² - 2)
Step-by-step explanation:
Given
4x³ + x² - 8x - 2 ( factor the first/second and third/fourth terms )
= x²(4x + 1) - 2(4x + 1) ← factor out (4x + 1) from each term
= (4x + 1)(x² - 2)
Answer: The simplified form by combining like terms is given by

Step-by-step explanation:
Since we have given that

Now, we combine the like terms :
1) First we collect m terms :

2) Combine n terms and constant terms :

Hence, the simplified form by combining like terms is given by

Let
x--------> the number of sessions
y-------> the total payment
we know that
without membership:
--------> equation 
with membership:
--------> equation 
using a graph tool------> resolve the system of equations
see the attached figure
the solution is the point 
that means
For 
the cost is
in both forms
so
to justify buying the membership

therefore
<u>the answer is</u>

Answer: A. 3072 cm³
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × width × height
Looking at the diagram,
Length = 6 cm
Width = 4 cm
Height = 2 cm
When the measures are multiplied by 4, then
Length = 6 × 4 = 24 cm
Width = 4 × 4 = 16 cm
Height = 2 × 4 = 8 cm
Therefore,
Volume = 24 × 16 × 8 = 3072 cm³