Answer:
A= 48°
B=60°
C=72°
D=20°
E=20°
F= 160°
G=160°
Step-by-step explanation:
Take a look at the picture above. (please excuse me for the sloppyish writing lol)
Answer:
14x + 70y = 820. Where we have taken y to be the number of bottles and x to be the number of cans.
Answer:
is
Step-by-step explanation:
Property of inverse function:
The function should be bijective function ( one-to-one and onto)
Option A) f(x)=|x-4|+1
It is absolute function. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [1,∞)
False ( Inverse not possible )
Option B)
It is quadratic function. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [0,∞)
False ( Inverse not possible )
Option C)
It is polynomial function with even degree. Not one-to-one function.
Domain: All real (-∞,∞)
Range: [0,∞)
False ( Inverse not possible )
Option D)
It is linear function. one-to-one and onto
Domain: All real (-∞,∞)
Range: All real (-∞,∞)
True ( Inverse possible )
Inverse of is
Hence, The function inverse function is
Answer: Hello there!
A function only can have an inverse if the function is injective and surjective (and continuous):
Then we need to see; if f(x1) = f(x2) = y, and x1 is different from x2, then f(x) has not an inverse:
a) f(x) = Ix - 4I + 1
for example, f(0) = I-4I + 1 = 5
and f(8) = I8 -4I + 1 = 4 + 1 = 5
then f(x) does not have an inverse
b) f(x) = 25x^2 + 70x + 49
This is a cuadratic function, wich is graphed as a arc going up or down, wich means that there are two values of x that give the same value for f(x), then this function has not inverse. (this will be the case for all even powers)
c) f(x) = x^4
Again, an even power. But let's probe it:
f(1) = 1^4 = 1
f(-1) = (-1)^4 = 1
f(x) does not have an inverse:
d) f(x) = x + 3/7
Ok, here we have a linear equation, wich means that is injective and surjective.
The inverse of this function can be g(x) = x - 3/7
proof:
f(g(x)) = f( x - 3/7) = (x - 3/7) + 3/7 = x
then f and g are inverses of each other.
(if in this case f(x) = (x + 3)/7 = x/7 + 3/7 is also a linear equation, so it is injective and surjective (and continuous), wich implies that has an inverse)
Answer:
Step-by-step explanation:
A - an angle
S - its suplementary angle
A = S - 142°
Suplementary angles add to 180° so:
A + S = 180°
S - 142° + S = 180°
2S = 322°
S = 161°
A = 161° - 142° = 19°
Answer:
her new balance is $1,084.99
Answer:
Step-by-step explanation:
a cube is a rectangular prism with all sides equal, and therefore all faces of equal area. A rectangular prism will have 4 faces of equal area and 2 faces of equal area. ... A rectangular prism has four faces that are rectangles and two faces that are squares. A cube has six faces that are squares.