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LenKa [72]
3 years ago
6

Solve the equation: 3x^3−x^2=x^2 Please help ASAP!!

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
7 0

Answer:

Zero

Step-by-step explanation:

the only answer for x is zero, no other number works

Svetllana [295]3 years ago
3 0

Answer:

two solutions : x=0 ; x= 2/3

Step-by-step explanation:

hello :

3x^3−x²=x²

3x^3 -2x² = 0

x²(3x-2)=0  means : x² = 0 or 3x-2 =0

x=0 or 3x =2

two solutions : x=0 or x= 2/3

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The answer is C)i, ii, iii, iv


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3 years ago
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Katya made another set of dolls. In the new set, the largest doll has a diameter of 8.75 cm and a height of 15.6 cm. Is this a d
Natali5045456 [20]

<em>Complete Question:</em>

<em>Katya creates handmade sets of dolls, which is sold to craft and souvenir stores. The first set of dolls has a middle diameter of 7cm and a height of 12cm.</em>

<em>Katya made another set of dolls. In the new set, the largest doll has a diameter of 8.75 cm and a height of 15.6 cm. Is this a dilation of the first set of dolls? </em>

<em></em>

Answer:

The new set is not a dilation of the first set

Step-by-step explanation:

Given

First Set:

Height = 12cm

Diameter = 7cm

New Set:

Height = 15.6cm

Diameter = 8.75cm

Required

Determine if the new set is a dilation of the second

To do this, we pass through the following steps:

1. Divide the height of the first set by the new set

2. Divide the diameter of the first set by the new set

3. Result in (1) and (2) must be equal if the new set is a dilation of the first set

Following the steps above:

(1)

Height\ Ratio = \frac{H_2}{H_1}

Height\ Ratio = \frac{15.6}{12}

Height\ Ratio = 1.3

(2)

Diameter\ Ratio = \frac{D_2}{D_1}

Diameter\ Ratio = \frac{8.75}{7}

Diameter\ Ratio = 1.25

(3) Make comparison

The ratio in (1) does not equal the ratio in (2)

i.e.

1.3 \neq 1.25

<em>Hence, the new set is not a dilation of the first set</em>

7 0
3 years ago
Henry and his family are eating at a rotating restaurant at the top of a tower. The restaurant rotates clockwise 90° every 15 mi
frutty [35]

Answer:

The table of Henry's family will be at (4, -4)

Step-by-step explanation:

The problem states that the initial coordinates of Henry's family is at the coordinates (-4, 4). Each 15 minutes the restaurant will rotate 90° every 15 minutes. If we follow the Cartesian plane and the center of the restaurant being at (0, 0) we know that the table will be situated at the (4, 4) coordinates of the restaurant after the first rotation. After the 30 minute mark, the restaurant rotates one more time and moves the table of Henry's family at the (4, -4) coordinates of the restaurant as the center of the restaurant will never move.

4 0
3 years ago
A golden rectangle has side lengths in the ratio of about 1: 1.618 if the long side of a golden rectangle is 35 cm what is its a
lakkis [162]

Answer:

The answer to your question is 757.1 cm²    

Step-by-step explanation:

Data

Ratio  1: 1.618

long side = 35 cm

Area = ?

Process

1.- Use proportions to solve this problem

       1 : 1.618 :: x : 35

        x = (35 x 1) / 1.618

        x = 35 / 1.618

        x = 21.63

2.- Calculate the area of the rectangle

Area = base x height

Area = 35 x 21.63

Area = 757.1 cm²        

5 0
4 years ago
Suppose that Prudie earns the same each day.write an inequality to find how much she needs to earn each day
Sedbober [7]

let the amount of money earned by Prudie be p

since she earns the same amount of money each day after two days she has earned 2p

therefore the amount of money she needs  to earn each day equals p\geq0

3 0
4 years ago
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