Answer:
E + F = 2c² + 5c + 4
Step-by-step explanation:
Answer:
f(x) = 2x(x - 8)
f(x) = 2(x - 2)² - 8
Step-by-step explanation:
Let the equation of the quadratic function is,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of the function.
From the graph attached,
Vertex of the parabola → (2, -8)
Therefore, equation of the function will be,
f(x) = a(x - 2)² - 8
Since, the graph passes through origin (0, 0),
f(0) = a(0 - 2)² - 8
0 = 4a - 8
a = 2
Equation of the given parabola will be,
f(x) = 2(x - 2)² - 8
= 2(x² - 4x + 4) - 8
= 2x² - 8x + 8 - 8
= 2x² - 8x
= 2x(x - 8)
Therefore, factored form of the function will be,
f(x) = 2x(x - 8)
Answer:
LHS = = RHS =
Step-by-step explanation:
Data provided in the question:
a = −1 + √3i and b = 2
to prove:
Considering the LHS
⇒
substituting the value of a and b, we get
⇒
or
⇒
on multiplying and dividing by conjugate ( 1 - √3i )
we get
or
or
(as (√i)² = -1 )
or
Now,
considering the RHS
substituting the value of a and b, we get
⇒
or
⇒
or
⇒
or
⇒
now,
on multiplying and dividing by conjugate ( -1 - √3i )
we get
or
or
or
or
or
or
or
Since, LHS = RHS
hence satisfied
Plug x=3 into f(x) = 3^x
f(x) = 3^3
f(x) = 27
remember!! what is the value of f^-1(x)?
put the ^-1 on 27
27^-1 = 0.037...
ANSWER: 0.037...