Divide and simplify. − 8 15 ÷ − 3 5 A) − 3 25 B) − 4 5 C) 13 15 D) 8 9 A 100 points
1 answer:
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ANSWER
B(0, 0),
EXPLANATION
The given points are A(−6, 2), B(0, 0), C(4, −2), D(−12, 6), E(−10, 10).
The equation of the direction variation is
The point that belongs the graph of the direct variation must satisfy the variation equation.
Note that the graph of direct variation equation passes through the origin therefore the point (0,0) satisfies it.
0=-12(0)
0=0
This is true
The other points do not satisfy this variation equation, hence they do not lie on its graph
Answer:
d. (g*f)(-9)=-1
Step-by-step explanation:
In this problem, we have two functions:
and
The notation:
(f*g)(x) represents the composite function of f and g; this can be calculated by using the output of g(x) as input for f(x), in other words:
Simiarly, the notation (g*f)(x) can be calculated by using the output of f(x) as input for g(x), mathematically:
Using the definitions of f(x) and g(x), we can derive an expression for the two composite functions here:
And
Now we can analyze the given statements:
a. (f*g)(2)=2 --> FALSE, because
b. (g*f)(2)=0 --> FALSE, because
c.(f*g)(9)=1 --> FALSE, because
d. (g*f)(-9)=-1 --> TRUE, because