Based on the graph below, what is the total number of solutions to the equation f(x) = g(x)?
2 answers:
<h2>Answer:</h2>
The total number of solutions to the equation f(x) = g(x) is:
Tow solution (2 solution)
<h2>Step-by-step explanation:</h2>We are given two functions f(x) and g(x).
The solution to the equation:
are the x-values of the point of intersection of the graphs of the two function.
By looking at the graph we observe that the graph of two function intersects at two points (-3,7.5) and (1,0).
Hence, the number of solutions to the equation f(x)=g(x) is: Two solutions.
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Answer:
a. a = 1, b = -5, c = -14
b. a = 1, b = -6, c = 9
c. a = -1, b = -1, c = -3
d. a = 1, b = 0, c = -1
e. a = 1, b = 0, c = -3
Step-by-step explanation:
a. x-ints at 7 and -2
this means that our quadratic equation must factor to:
FOIL:
Simplify:
a = 1, b = -5, c = -14
b. one x-int at 3
this means that the equation will factor to:
FOIL:
Simplify:
a = 1, b = -6, c = 9
c. no x-int and negative y must be less than 0
This means that our vertex must be below the x-axis and our parabola must point down
There are many equations for this, but one could be:
a = -1, b = -1, c = -3
d. one positive x-int, one negative x-int
We can use any x-intercepts, so let's just use -1 and 1
The equation will factor to:
This is a perfect square
FOIL:
a = 1, b = 0, c = -1
e. x-int at
our equation will factor to:
This is also a perfect square
FOIL and you will get:
a = 1, b = 0, c = -3