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2 years ago

A polynomial is to be constructed that will touch the x axis at most 5 times. What is the minimum degree of the polynomial?

1 answer:

8 0

Touch the x axis means the zeroes (y=0) of theh equation aka the roots aka the solutions
ok, so remember that the degree of the polynomial will be the maximum number of roots so therefor
minimum degreee is 5th degree

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Can someone help me with this plsssss

cupoosta [38]

Answer:

15 cm

Step-by-step explanation:

Given:

The two cylinders shown in the figure are similar to each other.

Therefore, when two figures are similar their measures are in proportion.

So, radius and height of both the cylinders are in proportion.

Radius of both the cylinders are 2 cm and 5 cm respectively. Height of the smaller cylinder is 5 cm. Now,

$\frac{2}{6}=\frac{5}{x}$

Doing cross multiply, we get:

$2x=6\times 5\\2x=30$

Dividing both sides by 2, we get:

$\frac{2x}{2}=\frac{30}{2}\\x=15\ cm$

Therefore, the height of the larger cylinder must be 15 cm in order to make both the cylinders similar to each other.

4 0

3 years ago

Find the standard deviation of 21, 31, 26, 24, 28, 26

Vesnalui [34]

Given the dataset

$x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}$

We start by computing the average:

$\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26$

We compute the difference bewteen each element and the average:

$x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}$

We square those differences:

$(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}$

And take the average of those squared differences: we sum them

$\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69$

And we divide by the number of elements:

$\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5$

Finally, we take the square root of this quantity and we have the standard deviation:

$\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39$

8 0

3 years ago

Writing to Explain A circular playground has a flagpole in the center. From the flagpole to the edge of the playground is a dist

Elis [28]

The formula for the circumference is C=2piR (r is radius)

If the flagpole is in the center and it's 15 feet to the edge, that means that 15 feet is the radius. Draw it out, you'll see. Now you plug 15 into the formula, either use a calculator or don't, and solve. You will get
94.2 as your circumference.

7 0

2 years ago

Read 2 more answers

Suppose we have a bag with 10 slips of paper in it. Eight of these have a 2 on them and the other two have a 4 on them.

irga5000 [103]

Answer:

The expected value of one draw is the average value of these 10 slips of paper which is:

24 / 10 = 2.4

Step-by-step explanation:

We have a bag with 10 slips of paper in it. 8 slips of paper each has a 2 on them; 2 slips of paper each has a 4 on them.

The total value of all the slips when added together is:

= (8)(2) + (2)(4)

= 16 + 8 = 24

The expected value of one draw is the average value of these 10 slips of paper which is:

24 / 10 = 2.4 ....

7 0

3 years ago

Read 2 more answers

Please help i need to know how to work it out too.

Stella [2.4K]

x^2 + 4x + 3
-----------------------
x^2 + 9x + 18

(x + 3) (x + 1)
= -----------------------
   (x + 3) (x +6)

  (x + 1)
= -------------
   (x +6)

3 0

3 years ago