Answer:
A.Domain:{x\x is a real number }
Range:{y\y>5}
Asymptote :y=5
Step-by-step explanation:
We are given that a function
We have to find the domain, range and asymptote of h(x).
It is exponential function therefore, it is defined for all values of x.
Hence, domain of h(x)={x| x is a real number}
Substitute x=0 then we get
(a^0=1)
Hence, range of h(x)={y|y>5}
For exponential function,
Horizontal asymptote: when
Apply limit
Hence, the horizontal asymptote y=5.
Answer:
(-3,4)
Step-by-step explanation:
A system of equations is given to us. The given equations are ,
We need to plot the graph and find the solution of the given system . For that refer to attachment . The point at which both the lines of the graph will intersect each other will be the solution of the given system of equations .
From the graph we can see that it intersect at (-3,4) . Therefore the Solution is ,
Answer:
Step-by-step explanation:
Recall that we say that d | a if there exists an integer k for which a = dk. So, let d = gcd(a,b) and let x, y be integers. Let t = ax+by.
We know that so there exists integers k,m such that a = kd and b = md. Then,
. Recall that since k, x, m, y are integers, then (kx+my) is also an integer. This proves that d | t.