Answer:
Step-by-step explanation:
The point of intersection of
and
is the solution of the two equations.
We add equation (1) and equation(2) to get,
We put 
into equation (1) to get,
Therefore the line passes through the point, 
.
The line also passes through the point of intersection of
and
We subtract equation (3) from equation (4) to obtain,
We substitute this value into equation (4) to get,
The line also passes through
The slope of the line is
The equation of the line is
is the required equation
Answer:
1) f(g(-2))=-3, 2) g(f(0))=5
Step-by-step explanation:
1)f(g(-2))
First, g(-2) means that x=-2. Hence, you must find the value of g(x) in the table when x=-2. You can see that, when x=-2, g(-2) = -3.
Next, you must find f(-3) in the graph, where x=-3. You can see in the graph that, when x=-3, f(-3) = -2.
Therefore, f(g(-2))=-3
2) g(f(0))
In the case, we must apply the inverse procedure. First, check in the graph that, when x=0, f(0) =1.
Next, we must look at the table and see that, when x=1, g(1)=5. Hence,
g(f(0))=5
Answer: 5/6
Step-by-step explanation:
Answer:
2 4/36
Step-by-step explanation:
To do this, multiply the whole number by the denominator and add it to the numerator.
8 x 9 = 72
72 + 4 = 76
76/9
<em>Then multiply across (multiply numerators with numerators; denominators with denominators)</em>
76 x 1 = 76
9 x 4 = 36
76/36 = 2 4/36
____________________________
<em>A faster way to do this is to multiply the whole number by the fraction and then the fraction by the fraction.</em>
1/4 x 8/1 = 8/4 = 2
1/4 x 4/9 = 4/36
= 2 4/36
Answer:
measure each and every angle to tell which one it is
Step-by-step explanation:
