Answer:
I hope you do good on your test!
Step-by-step explanation:
For this case we have the following functions:

By definition we have to:

So:

By definition, the domain of a function is given by the values for which the function is defined.
The domain of m(x) is given by all reals except 1.
The domain of n(x) is given by all reals.
While the domain of
is given by:
All reals, except the 1. With
, the denominator is 0 and the function is no longer defined.
Answer:
Domain of
is given by all reals except 1.
Answer:
- See attachment for table values
- y₁ = y₂ for x = 6
Step-by-step explanation:
In each case, put the x-value in the formula and do the arithmetic. If you're allowed, you can save some time and effort by realizing that the solution (x) will have to be an even number.
y₁ is an integer value for all integer values of x. y₂ is an integer value for even values of x only. y₁ and y₂ will both be integers (and possibly equal) only when x is even.
For example, for x = 6, we have
... y₁ = 3·6 - 8 = 18 -8 = 10
... y₂ = 0.5·6 +7 = 3 +7 = 10
That is, for x = 6, both columns of the table have the same number (10). That is, y₁ = y₂ for x = 6. The solution to the equation
... y₁ = y₂
is
... x = 6.
Answer:
1,795.5 m³
Step-by-step explanation:
Volume = base area × height
= [½(11+16)×9.5] × 14
1795.5 m³
Answer:
2800000
Step-by-step explanation:
10^6 means 1000000
2.8 x 1000000 = 2800000