Answer:
The correct option is First. i.e <u>consistent.</u>
The System shown is <u>consistent.</u>
Step-by-step explanation:
Consistent:
A consistent system of equations is a system that has at least one solution.
Our System in graph has only and only ONE solution that is on X-axis
Where the lines are intersecting each other.
Hence, The System shown is <u>consistent.</u>
Inconsistent:
An inconsistent system of equations is a system that has no solution.
Equivalent:
Systems of equations that have the same solution are called equivalent systems. Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.
Answer:
what is the topic?
Step-by-step explanation:
Answer:
You graph in the middle of the box
Step-by-step explanation:
go up 8 and to the right of box half way in the middle
Answer:
Option B. f¯¹(x) = ³√(– x – 9)
Step-by-step explanation:
From the question given above:
f(x) = – x³ – 9
f¯¹(x) =?
We can obtain the inverse f¯¹(x) of the above equation by doing the following:
f(x) = – x³ – 9
Replace f(x) with y
y = – x³ – 9
Interchange x and y
x = – y³ – 9
Make y the subject . This is illustrated below:
x = – y³ – 9
Rearrange
x + 9 = – y³
Multiply through by –1
–(x + 9) = y³
y³ = – x – 9
Take the cube root of both side
y = ³√(– x – 9)
Replace y with f¯¹(x)
f¯¹(x) = ³√(– x – 9)
Thus, the inverse of the function
f(x) = – x³ – 9
is
f¯¹(x) = ³√(– x – 9)
