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3 years ago

Approximate the real number solution(s) to the polynomial function f(x) = x3 − 4x2 + x + 6.

1 answer:

7 0

C is the correct answer because that's the only answer where all the numbers (i.e. 3, -1, 2) all, when plugged into the function, equal 0. For example:

3³ - (4 × 3²) + 3 + 6 = 0
-1³ - (4 × (-1)²) + (-1) + 6 = 0
2³ - (4 × 2²) + 2 + 6 = 0

As we see, everything adds up to 0. So, C is the correct answer.

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How would you write out 3 x 6 + 7 x 4 = 46?

aleksandrvk [35]

Answer:

dceoi hchis hurhgj

Step-by-step explanatiicdeon:

4 0

3 years ago

In the right triangle shown

Semmy [17]

Answer:

BC = 6

Step-by-step explanation:

Using the sine ratio in the right triangle and exact value

sin30° = $\frac{1}{2}$

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{BC}{AB}$ = $\frac{x}{12}$ = $\frac{1}{2}$ ( cross- multiply )

2x = 12 ( divide both sides by 2 )

x = 6

That is BC = 6

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3 years ago

lana66690 [7]

In a rigid transformation, the shape of the image remains the same as the preimage

The correct options are;

Rotation; a → b

Translation: a → d

Reflection over a horizontal line: c → e

Reflection over a vertical line: g → f

Rotation then reflection: a → h

Rotation then translation: e → j

The reasons why the above selections are correct are as follows;

Rotation; Figure a is rotated about a common center to figure b to move from a to b

Translation: Figure a can be translated towards the left and then upwards to reach figure b

Reflection over a horizontal line: A reflection over a horizontal line is similar to a reflection across the x-axis, therefore an example of a reflection over horizontal line is c → e

Reflection over a vertical line: A reflection over a vertical line will turn a left pointing triangle to a right pointing triangle as shown in g → e

Rotation then reflection: The preimage is first rotated about an axis before it is then reflected as seen in the clockwise rotation figure a about its axis, followed by a reflection across a vertical axis to figure h

Rotation then translation: The rotation and translation composite transformation can be seen in figure e which is rotated to point left, and then translated into the position of figure j

Learn more about rigid transformations here:

brainly.com/question/14301866

8 0

2 years ago

What is the slope of the line segment XY? 2 1/2 -1/2 -2

Vladimir79 [104]

the line has points (-1,3) and (1,-1)

slope = change in y over change in x

change in y = 3- -1 = 3+1 =4

change in x = -1 - 1 = -2

slope = 4/-2 = - 4/2 = -2

5 0

3 years ago

Read 2 more answers

Find the volume of a box that will hold nine 9.425 cm3 cylindrical containers that each measure 3 centimeters long. (round to ne

kipiarov [429]

To find the volume of a box that would hold these nine cylinders, you would start with the formula for volume of a cylinder. V=pi x r^2 x h. Substitute in the known volume and the known Height. 9.425=pi x r^2 x 3. Divide both sides by three to get approximately 3.143 = pi x r^2. Divided by pi on both sides. This leaves you with one = r^2. So the radius is equal to one. If the radius equals one, the diameter is two. Assuming the cylinders are arranged in a 3 x 3 array, the length and width of the rectangle or box would be 6cm x 6cm. To find the volume of the box necessary, multiply the length of six by the width of six by the height of three. The volume would be 108 square cm.

6 0

3 years ago