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Lostsunrise [7]
2 years ago
12

P(x)=(x-2)(x-4)(x-5)

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
5 0

The constants of a polynomial is the term that has no variable attached to it.

<h3>The constant term</h3>

To determine the constant, we simply multiply the constant term in each factor of the polynomial.

So, we have:

<h3 /><h3>Polynomial P(x) = (x-2)(x-4)(x-5)</h3>

Constant = -2 \times -4 \times -5

Constant = -40

Hence, the constant is -40

<h3>Polynomial P(x) = (x-2)(x-4)(x+5)</h3>

Constant = -2 \times -4 \times 5

Constant = 40

Hence, the constant is 40

<h3>Polynomial P(x) =1/2(x-2)(x-4)(x+5)</h3>

Constant = \frac 12 \times -2 \times -4 \times 5

Constant = 20

Hence, the constant is 20

<h3>Polynomial P(x) = 5(x-2)(x-4)(x+5)</h3>

Constant = 5 \times -2 \times -4 \times 5

Constant = 200

Hence, the constant is 200

<u>P(x) =-5(x-2)(x-4)(x+5)</u>

Constant = -5 \times -2 \times -4 \times 5

Constant = -200

Hence, the constant is -200

Read more about polynomials at:

brainly.com/question/2833285

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Answer:

value of blue dot is -6

Step-by-step explanation:

-6 is visible if you go 3 units to the left of -3. -3 - 3 = -6.

4 0
2 years ago
Help please with number 11
Jobisdone [24]

Answer:

No

Step-by-step explanation:

The triangles are not similar since triangle B has an angle (18 cm) that does not correspond to 10, unlike the other angles which you can get by multiplying 3/2.

3 0
3 years ago
Read 2 more answers
A simple random sample of size nequals10 is obtained from a population with muequals68 and sigmaequals15. ​(a) What must be true
valentina_108 [34]

Answer:

(a) The distribution of the sample mean (\bar x) is <em>N</em> (68, 4.74²).

(b) The value of P(\bar X is 0.7642.

(c) The value of P(\bar X\geq 69.1) is 0.3670.

Step-by-step explanation:

A random sample of size <em>n</em> = 10 is selected from a population.

Let the population be made up of the random variable <em>X</em>.

The mean and standard deviation of <em>X</em> are:

\mu=68\\\sigma=15

(a)

According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we take appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

Since the sample selected is not large, i.e. <em>n</em> = 10 < 30, for the distribution of the sample mean will be approximately normally distributed, the population from which the sample is selected must be normally distributed.

Then, the mean of the distribution of the sample mean is given by,

\mu_{\bar x}=\mu=68

And the standard deviation of the distribution of the sample mean is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{15}{\sqrt{10}}=4.74

Thus, the distribution of the sample mean (\bar x) is <em>N</em> (68, 4.74²).

(b)

Compute the value of P(\bar X as follows:

P(\bar X

                    =P(Z

*Use a <em>z</em>-table for the probability.

Thus, the value of P(\bar X is 0.7642.

(c)

Compute the value of P(\bar X\geq 69.1) as follows:

Apply continuity correction as follows:

P(\bar X\geq 69.1)=P(\bar X> 69.1+0.5)

                    =P(\bar X>69.6)

                    =P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{69.6-68}{4.74})

                    =P(Z>0.34)\\=1-P(Z

Thus, the value of P(\bar X\geq 69.1) is 0.3670.

7 0
3 years ago
The reciprocal of half a number increased by half the reciprocal of the number is 1/2. Find the number
klemol [59]

Answer:

5

Explanation:

Let the number equal x. Half the number is then

x

2

and the reciprocal of that is

2

x

The reciprocal of the number is

1

x

and half that is

1

2

x

then

2

x

+

1

2

x

=

1

2

4

x

+

x

2

x

2

=

1

2

10

x

=

2

x

2

2

x

2

−

10

x

=

0

2

x

(

x

−

5

)

=

0

Zero is not viable solution as its reciprocal is infinity. The answer is therefore

x

=

5

7 0
3 years ago
In the figure below, FH= 14 and GH=6. Find FG.
Katyanochek1 [597]

Answer:

Let's see what to do buddy....

Step-by-step explanation:

_________________________________

FG = FH + HG ----¢ FG = 14 + 6 = 20

FG = 20

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

4 0
3 years ago
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