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4 years ago

Solve 2x^3-5x^2-11x-4=0

Mathematics

1 answer:

topjm [15]4 years ago

7 0

A graphical calculator shows solutions to be
x = {-1, -0.5, 4}

The factorization will be
.. (2x+1)(x +1)(x -4) = 0

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the temperature on a summer day is 77 degree fahrenheit , the formula convert temperature to degrees Celsius =5/9 (f-32). what i

Maurinko [17]

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3 years ago

1The volumes of two similar prisms are 972 cm3 and 36 cm3. The surface area of the larger prism is 594 cm2.

diamong [38]

Answer:

Part 1)

The scale factor of the smaller prism to the larger prism is 3

The scale factor of the larger prism to the smaller prism is 1/3

Part 2) The surface area of the smaller prism is 66 square centimeters

Step-by-step explanation:

Part 1) What is the scale factor for the similar figures?

we know that

If two figures are similar, then the ratio of their volumes is equal to the scale factor raised to the cube

Let

z ----> the scale factor

x ---> volume of the larger prism

y ---> volume of the smaller prism

$z^3=\frac{x}{y}$

we have

$x=972\ cm^3\\y=36\ cm^3$

substitute

$z^3=\frac{972}{36}$

Simplify

$z^3=27\\z=3$

therefore

The scale factor of the smaller prism to the larger prism is 3

The scale factor of the larger prism to the smaller prism is 1/3

Part 2) What is the surface area of the smaller prism?

we know that

If two figures are similar, then the ratio of their surface areas is equal to the scale factor squared

Let

z ----> the scale factor

x ---> surface area of the larger prism

y ---> surface area of the smaller prism

$z^2=\frac{x}{y}$

we have

$x=594\ cm^2$

$z=3$

substitute

$3^2=\frac{594}{y}$

solve for y

$y=\frac{594}{9}=66\ cm^2$

therefore

The surface area of the smaller prism is 66 square centimeters

6 0

3 years ago

1) Hot dogs are sold in packs of 10 and hot dog buns are sold in packs of 8. Tommy wants

liberstina [14]

Answer:

150

Step-by-step explanation

1- 10

2- 40

3- 80

4- 110

5- 150

10 to 40- is 30 between

40 -80 is 40 between

80 -110 is 30 between

110-150 is 40 between.

you have to keep the pattern going

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2 years ago

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VikaD [51]

7 in each row and there are 4 rows

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3 years ago

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Flura [38]

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Step-by-step explanation:

In simple terms, geometry is the study of shapes. More specifically, geometry is a branch of mathematics that deals with space, the shapes that inhabit space, and a range of properties that apply to these shapes. ... Geometry also includes topics such as trigonometry – the study of triangles and their properties.

4 0

4 years ago