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il63 [147K]
3 years ago
8

Find a polynomial function that has the given zeros. (There are many correct answers.) −4, 6

Mathematics
1 answer:
daser333 [38]3 years ago
5 0

If polynomial function vanishes at

x

=

a

, then

(

x

−

a

)

must be one of its factors.

Thus

(

x

−

7

)

,

(

x

−

4

−

√

6

)

and

(

x

−

4

+

√

6

)

are factors of the required polynomial.

The simplest polynomial that satisfies this is

(

x

−

7

)

(

x

−

4

−

√

6

)

(

x

−

4

+

√

6

)

=

(

x

−

7

)

{

(

x

−

4

)

−

√

6

}

{

(

x

−

4

)

+

√

6

}

=

(

x

−

7

)

{

(

x

−

4

)

2

−

6

}

=

(

x

−

7

)

(

x

2

−

8

x

+

16

−

6

)

=

(

x

−

7

)

(

x

2

−

8

x

+

10

)

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the russian ice breaker Yamal can move forward through  2.3 meter 2.3 meter thick ice at a speed  5.5 kilometers
morpeh [17]

Answer:

Yamal can move the ice to 82 km in approximately <u>15 hrs</u>.

Step-by-step explanation:

Given:

Speed  = 5.5 km/hr

Distance = 82 km

Let time be represented as 'x'.

We need to find the number of hours required to travel 82 km.

We know that Distance can be calculated by the product of Speed and time.

Framing above sentence in equation form we get;

Distance = Speed × Time

Substituting the given value we get;

82 = 5.5x

Hence The expression for number of hours is 82 = 5.5x

Solving the equation to find the value of x we get;

82 = 5.5x\\\\x=\frac{82}{5.5} = 14.90 \approx 15\ hrs

Hence Yamal can move the ice to 82 km in approximately <u>15 hrs</u>.

3 0
3 years ago
Please help! <br><br> What is the value for y?<br><br> Enter your answer in the box.<br><br> y =
Amiraneli [1.4K]

The little lines through the two sides mean they are the same length.

When the two sides are the same length the 2 corresponding angles are also the same, so Angle A and Angle B are both 34 degrees.


The three inside angles of a triangle equal 180, so angle C = 180 - 68 = 112


Angle C is given as 4y, so 4y = 112

Divide both sides by 4:

y = 112 / 4

y = 28

5 0
3 years ago
23. The mean weight of trucks traveling on a particular section of 1-475 is not known. A state highway inspector needs an estima
Free_Kalibri [48]

Answer:

0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean is 15.8 tons, with a standard deviation of the sample of 4.2 tons.

This means that \mu = 15.8, \sigma = 4.2

What is probability that a truck will weigh less than 14.3 tons?

This is the pvalue of Z when X = 14.3. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{14.3 - 15.8}{4.2}

Z = -0.36

Z = -0.36 has a pvalue of 0.3594

0.3594 = 35.94% probability that a truck will weigh less than 14.3 tons

6 0
3 years ago
Drag the factors to the correct locations on the image. Not all factors will be used.What is the factored form of this expressio
Afina-wow [57]

(3m+5n)(9m²-15mn+25n²)

1) Let's factorize 27m³ +125n³.

27m³ +125n³ <em>Let's use x³ +y³ product to factorize that</em>

<em />

x³ +y³ = (x +y)(x²-xy +y²)

2) So let's rewrite it, since 3³ = 27 and 5³ = 125

27m³ +125n³ =

Plug x =3m and y = 5n into those factors (x +y)(x²-xy +y²)

27m³ +125n³= (3m + 5n)(3²m² -5n*3m +5²n²)

27m³ +125n³= (3m+5n)(9m² - 15mn +25n²)

3) So the answer is

(3m+5n)(9m²-15mn+25n²)

<em />

5 0
1 year ago
Are both a function or not ?
Ganezh [65]

Answer:

Here

Step-by-step explanation:

Domain : (-∞,∞)

Range : (-∞,∞)
Both functions generally are the same and yes both are functions.

One is the data set of a function and one is the equation...

Sorry if this isn't what you were looking for...

8 0
2 years ago
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