Points P and Q ∈ MN , MP = 2, QN = 5 and MN = 12. The distance from M to the midpoint of PQ is: (A) 5.5 (B) 3 (C) 4.5 (D) 6

Mathematics

2 answers:

olga2289 [7]3 years ago

3 0

Answer:

4.5

Step-by-step explanation:

sergeinik [125]3 years ago

3 0

Answer:

C 4.5

Step-by-step explanation:

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Which of the following graphs represents the function f(x) = x4 - 2x3 - 3x2 + 4x + 1?

s2008m [1.1K]

Answer: Graph D will be correct graph for the given function.

Explanation:

Given function $f(x) = x^4-2x^3-3x^2+4x+1$

Since it is a bi-quadratic equation thus it must have 4 roots and (0,1) is one of its point.

Moreover, the degree of the function is even thus the end behavior of the function is $f(x)\to+\infty$ , as $x\to-\infty$ and $f(x)\to+\infty$ as $x\to+\infty$

In graph A, function has four root but it does not have the end behavior same as function f(x).( because in this graph $f(x)\to-\infty$ , as $x\to-\infty$ and $f(x)\to-\infty$ , as $x\to+\infty$ .) so, it can not be the graph of given function.

In graph B, neither it has four root nor it has the end behavior same as function f(x).(because in this graph $f(x)\to+\infty$ as $x\to-\infty$ and $f(x)\to-\infty$ as $x\to+\infty$ .) so, it can not be the graph of given function.

In graph C, neither it has four root nor it has the same end behavior as function f(x).(because in this graph $f(x)\to-\infty$ as $x\to-\infty$ and $f(x)\to+\infty$ as $x\to\infty$ .) so, it also can not be the graph of given function.