Answer:
<h2>2</h2>
Step-by-step explanation:
Given g(x)=5x-4 and g(x)=f^{-1}(x)-3
Substituting g(x) = 5x-4 into the second equation we have;
5x-4 = f^{-1}(x)-3
f^{-1}(x) = 5x-4+3
f^{-1}(x) = 5x-1
To get f(x), let us first make y to be equal f^{-1}(x)
y = 5x-1
expressing x in terms of y to get f(x), we have;
5x = y+1
x = y/5+1/5
replacing y with x, we will have;
y = x/5 + 1/5
F(x) = x/5 + 1/5
Comparing x/5 + 1/5 with ax+b, a = 1/5 and b = 1/5
5a + 5b = 5(1/5)+ 5(1/5)
5a+5b = 1+1
5a+5b = 2
All angles of a rectangle are right angles.
Right angles measure up to 90 degrees.
JML is also a right angle which means 3x - 15 is equal to 90
3x - 15 = 90
3x = 105
x = 35
Answer:
Part 1) The solution is the point (-2,0)
Part 2) The solutions are the points (-2,0) and (0,2)
Step-by-step explanation:
Part 1
we have
-----> equation A
----> 
---> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The solution is the point (-2,0)
see the attached figure N 1
Part 2
we have
-----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system are the intersection points both graphs
using a graphing tool
The solutions are the points (-2,0) and (0,2)
see the attached figure N 2
Answer:
85
Step-by-step explanation:
Note the mother is 3x his age when he is 25 years old. Multiply 3 with 25:
3 x 25 = 75
Ten years pass (35 - 25 = 10). Add 10 to 75:
75 + 10 = 85
When the man is 35 years old, his mother will be 85 years old.
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