The lines graphed below show the amounts of water in two tanks as they
1 answer:
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Answer:
f(x) = (x +4)(x -1)(x -2)²
Step-by-step explanation:
The given points are all x-intercepts of the function. As such, each corresponds to a factor of the function. The x-intercept x=p corresponds to factor (x-p), for example.
Here, the x-intercept (2, 0) is repeated. It is said to have "multiplicity 2". That multiplicity value means the factor will have an exponent of 2 in the factored form of the function:
f(x) = (x -(-4))(x -2)(x -1)(x -2)
f(x) = (x +4)(x -1)(x -2)²
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<em>Additional comment</em>
When an x-intercept has even multiplicity, the graph will touch the axis there, but will not cross.
The given inequality is
We need to isolate p, and for that , first we subtract 15 to both sides, that is
Dividing both sides by -30. And on dividing by negative number, the sign of the inequality change . That is
And -10 is less then -2.5 . So the correct option is