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Aleksandr [31]
3 years ago
6

What’s the answer to #12? and why

Mathematics
2 answers:
Elena L [17]3 years ago
6 0
Remark
If there are 5 distinct zeros that means either that the x axis is crossed the x axis 5 different places or touched the x axis in 1 place out the 5. Touching in one place means that an even number of roots are the same. 

So let's go through all of them to get an answer of 5.

A has 4 x intercepts. It is not the right answer. We need 5.
B has 4 x intercepts. It is not the right answer. We need 5.
C has 6 x intercepts. Not the one we want.
D has 5 x distinct zeros. The wording is a bit tricky. It does not matter than one of them just touches the x axis. There could be an even number of distinct zeros there, but it only counts as one root.

An example of such a graph is f(x)=\left(\frac{1}{10}(x+2)(x+1.5)(x+1)(x-2)^4(x-3)\right)
 
Answer D <<<<<


expeople1 [14]3 years ago
3 0
It is D. Hope it's right
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vlabodo [156]

Answer:

The equation of the line is:  y = x + 4

Step-by-step explanation:

When we are given two points passing through a line, we can find the equation of the line by using two - point form.

Two - point form:    $ \frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}}    }$

where $ (x_1, y_1) \hspace{3mm} \& \hspace{3mm} (x_2, y_2) $ are the points passing through the line.

Here, let us take two points (can be any two):

$(x _1, y_1) = (1, 5) $ and

$ (x_2, y_2) = (5, 9) $

Therefore, we have:

$ \frac{y - 5}{9 - 5} = \frac{x - 1}{5 - 1} $

$ \iff \frac{y - 5}{4} = \frac{x - 1}{4} $

$ \iff y - 5 = x - 1 $

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$ \implies y = \textbf{x + 4} $ which is the required answer.

4 0
3 years ago
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OleMash [197]

Answer:

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base is 4

and 3 is height

the answer is 6 as you multiply 1/2 ×base ×height

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3 years ago
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