Answer:
See below
Step-by-step explanation:
<h3>Graphing:</h3>
we are given two functions

where f(x) is a <em>linear</em><em> </em><em>function</em> and g(x) is a <em>q</em><em>uadratic </em>function
we want to figure out the solutions of the function
let's graph f(x):
the Black-table is attached
let's graph g(x):
the picture is attached
hence, the graph should be
the graph is attached
<h3>solutions stating:</h3>
so we need solution(s) which satisfy(ies) the both functions
in this case the solution (s) the x coordinate(s) where both functions intercept we get from the graph that both functions intercept at <u>(</u><u>-</u><u>1</u><u>,</u><u>6</u><u>)</u> and <u>(</u><u>3</u><u>,</u><u>2</u><u>)</u>
hence,
x={-1,3}
Simplify
3
x
2
−
x
3
x
2
-
x
.
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x
2
=
x
10
−
4
5
x
2
=
x
10
-
4
5
Move all terms containing
x
x
to the left side of the equation.
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2
x
5
=
−
4
5
2
x
5
=
-
4
5
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
2
x
=
−
4
2
x
=
-
4
Divide each term by
2
2
and simplify.
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x
=
−
2
Answer:
5
Step-by-step explanation:
20 divided by 4 = 5
1 x 5 = 5
Answer:
26.25 gallons
Step-by-step explanation:

21000 = 800x
x = 26.25 gallons