For the total cost to be equal, the volleyball team must buy 10 T-shirts from each company at $105.
Answer:
y = -7
Step-by-step explanation:
Minus the five from both sides
Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
Answer:
Step-by-step explanation:
The octahedron is formed from 2 congruent square pyramids.
Since each die has the shape of an octahedron, we would determine its volume by applying the formula for determining the volume of an octahedron which is expressed as
Volume = (a³√2)/3
Where
a represents the length of each edge.
From the information given,
a = 1 cm
Therefore,
Volume = (1³√2)/3 = 0.471 cm³
It is located at 2.45, almost exactly the middle
