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3 years ago

What are the zeros of the polynomial function f(x) = x^3-10x^2+24x

1 answer:

3 0

Replace F(x) with y
y=x^3-10x^2+24x
To find the roots replace y with 0.
0=x^3-10x^2-24x
Rewrite the equation as
x^3-10x^2+24x=0
Factor the left side
x(x-6)(x-4)=0
The solution is a result of
x=0, x-6=0, and x-4=0

The answer is:
x=0, 6, 4

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3 years ago

Simplify the problem pleaseee

ladessa [460]

Answer:

16x²+6x+3

Step-by-step explanation:

x²+6x+3(5x²-4)+15

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3 years ago

Please Help? A circle has an arc length of 5π in. The central angle for this arc measures π/3 radians. What is the area of the a

Zielflug [23.3K]

Answer:

The area of the associated sector is $\frac{25}{24}\pi \ in^{2}$

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

$C=2\pi r$

we have

$C=5\pi\ in$

substitute and solve for r

$5\pi=2\pi r$

$r=2.5\ in$

step 2

Find the area of the circle

we know that

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=2.5\ in$

substitute

$A=\pi (2.5^{2})=6.25\pi\ in^{2}$

step 3

Find the area of the associated sector

we know that

$2\pi\ radians$ subtends the complete circle of area $6.25\pi\ in^{2}$

by proportion

Find the area of a sector with a central angle of $\pi/3\ radians$

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3 years ago

The L.L. Bean men’s cotton chambray shirt comes in the following colors: blue, stone, rust, green, plum, and indigo. In addition

bulgar [2K]

Answer:

60 types of cotton chambray shirts can be produced

Step-by-step explanation:

The shirt comes in the following colors: blue, stone, rust, green, plum, and indigo

Number of colors the shirt comes in = 6

The shirt comes in the following sizes: small (S), medium (M), large (L), extra large (XL), and extra extra large (XXL)

Number of sizes the shirt comes in = 5

The shirt comes in the following styles: short sleeves or long sleeves

Number of styles the shirt comes in = 2

Total number of cotton chambray shirts that can be produced are:

No. of colors * No. of sizes * No. of styles

6 * 5 * 2

60 shirts

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