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3 years ago

Which of the following describes the zeros of the graph...

Mathematics

1 answer:

Sholpan [36]3 years ago

7 0

Answer:

d) 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1

Step-by-step explanation:

Explanation:-

Given polynomial equation

⇒ - x⁵ + 9 x⁴ - 18 x³

⇒ - x³ ( x² - 9 x + 18 )

⇒ - x³ ( x² - 6 x - 3 x + 18)

⇒ - x³ ( x(x - 6) - 3( x - 6))

⇒ - (x-0)³ (x-6)(x-3)

∴ The Zeros of the given function is 0 with multiplicity 3 , -3 with multiplicity 1 and - 6 with multiplicity 1

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A swimming pool is drained at the end of each summer. Fifteen gallons of water are removed per minute. How much does the amount

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3 years ago

Graph and label the image of the figure below after a dilation by a factor of 1/2.

neonofarm [45]

Answer:

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Explanation:

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

$\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\ \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\ \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}$ $\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\ \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}$

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

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2 years ago

Which of the following describes the zeros of the graph...​

Which of the following describes the zeros of the graph...