Answer:
5i is an imaginary number
Answer:
Volume of the cube = (2n6)³
Step-by-step explanation:
Volume of a cube = L*B*H
Volume of a cube= L*L*L=L³ (since all the sides of the cube are equal.
Volume of the cube = (2n6)³
Answer:
–1 < x < 4
Step-by-step explanation:
Let's solve your inequality step-by-step.
−6<2x−4<4
−6+4<2x−4+4<4+4(Add 4 to all parts)
−2<2x<8
(−2
/2)
<
(2x
/2
)< (8
/2)
(Divide all parts by 2)
−1<x<4
Answer:
Step-by-step explanation:
4) x² - 14x + 48
We would find two numbers such that their sum or difference is -14x and their product is 48x².
The two numbers are - 6x and - 8x. Therefore,
x² - 6x - 8x + 48
x(x - 6) - 8(x - 6)
(x - 8)(x - 6)
5) 2x² + 21x - 11
We would find two numbers such that their sum or difference is 21x and their product is - 22x².
The two numbers are 22x and - x. Therefore,
2x² + 22x - x - 11
2x(x + 11) - 1(x + 11)
(2x - 1)(x + 11)
6) 5a² - 125
5 is a common factor. So we would factorize 5. It becomes
5(a² - 25)
Simplifying further, it becomes
5(a + 5)(a - 5)
Part a)
a) The given function is
We let
Interchange x and y.
Solve for y;
Part b) The range of f(x) refers to y-values for which f(x) exists.
The range of f(x) is
This is because the function is within y=-3 and y=3.
c) The range of
is
The domain is -3≤x≤3
This is because the domain and range of a function and its inverse swaps.
Part d) The graph is shown in the attachment.
