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2 years ago

PLZ HELP!! Which real numbers are zeroes of the function?

Mathematics

1 answer:

astra-53 [7]2 years ago

5 0

The correct answers are: 1/2, 2 and -2.

To get this, factor f(x)

f(x)=2x^3-x^2-8x+4

f(x)= (2x^3-x^2) - (8x -4)

f(x)= (2x-1)(x^2) + (2x-1)(-4)

f(x)= (2x-1)(x^2-4)

f(x)= (2x-1)(x-2)(x+2)

2x-1=0

2x=1

x=1/2

x-2=0

x=2

x+2=0

x=-2

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Please help

user100 [1]

Answer:

Length of garden will be 30 metres.

Step-by-step explanation:

Let the Width of garden be x metres.

then,

Length of garden will be (x+6) metres.

Area = Length × Breadth

720 = x X (c+6)

720 = x²+6x

0 = x²+6x-720

As we can see above equation is a quadratic equation in the form of ax²+bx+C.

so,

$= \frac{ - b ± \sqrt{{b}^{2} - 4ac} }{2a} \\ = \frac{ - 6 ± \sqrt{{6}^{2} - 4 \times 1 \times - 720} }{2} \\ = \frac{ - 6 ± \sqrt{36 + 2880} }{2} \\ = \frac{ - 6 ± \sqrt{2916} }{2} \\ = \frac{ - 6 ± 54}{2}\\= \frac{-6+54}{2} ... \frac{ - 6 - 54}{2} \\ = \frac{48}{2} ... \frac{ - 60}{2} \\ = 24... - 30$

One of the Roots of the Quadratic equation is 24 and other is -30.

And as we know width of any garden cannot be negative so the width of garden will be 24 metres.

As we got the width,

adding 6 to it will give us the Length,

So,

24 metres + 6 = 30 metres.

Length of the garden is 30 metres.

Hope It Helped You ;)

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8 0

3 years ago

Complete the steps in order to write the inverse of f(x) = x + 5 1. = x + 5 2. = y + 5 3. = y 4. = x – 5

Allisa [31]

Hi there!

f(x) = x + 5

1. y = x + 5
Switch places from x and y.

2. x = y + 5
Subtract 5.

3. x - 5 = y
Switch sides.

4. y = x – 5
Now we've found our answer.

~ Hope this helps you!

3 0

2 years ago

Read 2 more answers

What does it mean to simplify?

Arlecino [84]

To make something smaller and easier

8 0

3 years ago

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HELP ASAP!!!.

Arte-miy333 [17]

Answer: