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Arisa [49]
1 year ago
13

Select all the statements below that are true of the following graph of the polynomial.

Mathematics
1 answer:
Serggg [28]1 year ago
7 0

To find:

We need to comment on the following points of the given graph:

Step by step solution:

1) Type of function (odd / even):

If the function is odd then the graph is symmetrical about the origin.

Upon observing this graph we can see that the given graph is symmetrical about the origin, So it is an odd function.

2) To check whether (x-2) is a factor of the equation:

If (x-2) is the factor of the equation, then x = 2 should be the root of the the equation

Upon observing the graph, we can see that the graph cut the x axis at x = 2, So (x-2) is the factor of the equation.

3) To check whether there are 5 zeroes or not:

If there are 5 zeroes of the graph, the graph should cut the x - axis for 5 times.

Upon observing the graph we can see that the graph cut the x - axis for 5 times, thus it has 5 zeroes.

4) To check whether there are same amount of relative minimums as relative maximums:

Upon observing the graph we can see that there are 2 relative minimums and 2 relative maximums.

So we can see that there are same amount of relative maximums and minimums.

5) To check whether there is a relative minimum at (-1,-3)

To have a relative minimum at (-1,-3) there should be a minima at (-1,-3)

Upon observing the graph we can see that there is no minima at (-1,-3), So it there is no relative minimum at (-1,-3)

From here we can say that, 1,2,3,4 are the 4 correct options for this equation.

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Factor the polynomial by grouping : x^3+5x^2-6x-30
andrew-mc [135]

The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.

x^3+5x^2-6x-30

(x^3+5x^2)+(-6x-30)

x^2(x+5)+(-6x-30)

x^2(x+5)-6(x+5)

(x^2-6)(x+5)

-------------

Answer: (x^2-6)(x+5)

4 0
3 years ago
Help!!!Can someone help me with my math ttas fast!!
MAVERICK [17]
The answer to the question is boneless
4 0
3 years ago
The ratio of boys and girls in a swim club was 2:4 there were 14 girls how many total members were there in the club
Oxana [17]
I think its 21 but im not to sure
3 0
3 years ago
A line passes through the two given points. Is it vertical, horizontal, or neither?
Leviafan [203]

<u>Answer:</u>

A line passes through the two given points (5,2), (5,-2). The line is vertical line

<u>Solution:</u>

Given, two points are (5, 2) and (5, -2)

We have to find that a line that passes through the given two points is vertical or horizontal or neither.

First let us find the slope of the line that passes through given two points.

So, slope of line m =\frac{y_{2}-y_{1}}{x_{2}-x_{2}} \text { where, }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) \text { are two points on line. }

So slope of our line =\frac{-2-2}{5-5}=\frac{-4}{0} = undefined

Here slope of our line is undefined which means it is parallel to the y – axis.

Hence, line passing through given points is vertical line

6 0
3 years ago
The Candy Store is having a 30% off sale. Emma is buying candy worth $7.50. Who much will the Candy worth after the discount? Pl
ludmilkaskok [199]
7.50 x 0.30= $2.25
7.50- 2.25= $5.25
The candy will be worth $5.25 after adding the discount.
8 0
3 years ago
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