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Serga [27]
3 years ago
7

13. Find a cubic function with the given zeros. 7, -3, 2

Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0

\bf \begin{cases} x=7\implies &x-7=0\\ x=-3\implies &x+3=0\\ x=2\implies &x-2=0 \end{cases}~\hspace{7em}(x-7)(x+3)(x-2)=\stackrel{y}{0} \\\\\\ (x^2-4x-21)(x-2)=y \\\\\\ x^3-4x^2-21x-2x^2+8x+42=y\implies x^3-6x^2-13x+42=y

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Answer:  The number gotten from the number line is 1.7,

Kindly find an attached diagram to indicate the number line.

Step-by-step explanation:

DEFINITION: <em>The number line is a straight line with numbers found at equal intervals and it can extend to negative and positive infinity respectively. </em>The number line provides a means of abstraction for Real Numbers and can be used for adding and subtracting.

Kindly find the attached the diagram showing the number line. Refer to the diagram to understand how the answer was derived.

<u>STEP 1:</u> Draw a straight line to denote the number line and attach two arrows at the extremes of the line (looking in opposite directions) to indicate the continuation of numbers extending to infinity and negative infinity respectively.

<u>STEP 2:</u> Find a point to denote as Zero (0) as the midpoint to start the calibration, then take equal intervals of distance to denote number points (as is shown in the drawn attachment).

Denote the intervals -2.5, -2.0, -1.5, -1.0, -0.5, 0, 0.5, 1, 1.5. 2. 2.5. 3.0

<u>STEP 3:</u> Draw small intervals of -0.1 and 0.1 for both the positive and negative sides of the number line.

<u>STEP 4:</u> Now, choose either -1.2 or 2.9,

IF -1.2 is chosen count two -0.1 intervals left of -1.0 and mark a circle indicating -1.2, then count right 29 intervals (denoting 2.9) to find the answer which is 1.7.

IF 2.9 is chosen count four 0.1 intervals right of 2.5 and mark a circle indicating 2.9, then count left 12 intervals (denoting -1.2) to find the answer which is 1.7.

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3 years ago
Mr. Henderson’s annual premium of $4,668 is covered entirely by his employer along with 25% of the $9,264 premium for his wife a
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The volume of a rectangular prism is 270 cubic centimeters the height of the prism is 5 centimeters. What could the length and w
kotegsom [21]

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Volume = 270 cm³

height = 5 cm

length = ?

width = ?

Formula

Volume of a rectangular prism = height x length x width

- Solve for Area of the base (height x length)

Area of the base = Volume / height

-Substitution

Area of the base = 270 / 5

-Result

Area of the base = 54 m²

2.- Find the prime factors of 54

                    54   2

                    27   3

                      9   3

                      3   3

                       1

3.- The possible values of the sidas of the rectangle are:

Combining the prime factor of 54.

              Length                        Width

              2 x 3 = 6           and    3 x 3 = 9

or            2 x 3 x 3 = 18   and    3 x 1 = 3

or            3 x 3 x 3 = 27  and     2 x 1 = 2

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What can you say about the graph of the function below? Check all that apply.
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B y-intercept is (0,1)
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