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3 years ago

Find the factors from the roots, then multiply the factors together. y=x3−3.5x2+3.5x−1

Mathematics

1 answer:

neonofarm [45]3 years ago

8 0

Answer:

hello :

y=x3−3.5x²+3.5x−1

y = (x3 - 1 ) - 3.5 ( x² - 1)

y= (x -1 ) ( x² + x + 1 ) + 3.5 ( x - 1 ) (x + 1)

y = ( x - 1 ) ( x² + x + 1 + 3.5x -3.5)

y = (x - 1 ) ( x² + 4.5x - 2.5)

the dicriminent of x² + 4.5x - 2.5 is : Δ = (4.5)²- 4(1)(- 2.5) = 30.25 = (5.5)²

x1 = ( - 4.5 - 5.5)/2 x2 = ( - 4.5 + 5.5)/2

x1 = - 5 x2 = 1/2 = 0.5

y = (x - 1 )( x +5) (x - 0.5)

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There were 567 people at a concert when a band started playing. After each song, only one-third of the people stayed to hear the

emmasim [6.3K]

To write the function correctly, it is important to assign variables correctly and understand the situation of the problem clearly. For this, we let y the number of people and x as the number of songs played.

At x = 0 y = 567
at x = 1 y = 567 - 567(1/3)
at x = 2 y = 567 - 567(1/3)(1/3)
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Therefore, the number of people left after x songs would be represented by the equation:

y = 567 - 567(1/3)x
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2 years ago

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Find the area of the following polygon:

Masja [62]

Given:

ABCD is a quadrilateral

AC = 12, DE = 4 and FB = 5

To find:

The area of the polygon.

Solution:

AC bisects the quadrilateral into two triangles.

Area of triangle:

$$A=\frac{1}{2}\times\text{base}\times\text{height}$

<u>Area of triangle DAC:</u>

$$A=\frac{1}{2}\times AC \times DE$

$$A=\frac{1}{2}\times 12 \times 4$

$A=24$

Area of triangle DAC = 24 square units.

<u>Area of triangle BAC:</u>

$$A=\frac{1}{2}\times AC \times FB$

$$A=\frac{1}{2}\times 12 \times 5$

$A=30$

Area of triangle BAC = 30 square units.

Area of polygon = Area of triangle DAC + Area of triangle BAC

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The area of the polygon is 54 square units.

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3 years ago

Help first gets brainly

pentagon [3]

Answer:

1. 100 1. 150 1. 1

2.45 2. 800

Step-by-step explanation:

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2 years ago

A bowl contains and strawberries and blueberries. There are a total of 48 berries in the bowl. The ratio of blueberries to straw

olga2289 [7]

Answer:

There are 36 blueberries and 12 Strawberries! I hope this helps you out. :)

Step-by-step explanation:

Hi, so I have a really easy way for you to do this and understand! :)

Basically, you can just add the two numbers in the ratio together and divide that from the bigger total. For example, 9+3=12 and 48/12 is 4. Then you can just multiply each beginning ratio by four and you have your answer: 9*4=36 and 3*4 equals 12. An what does 12+36 equal? 48.

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statuscvo [17]

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