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3 years ago

What are the zeros of the function? what are their multiplicities? f(x)=x^4-4x^3+3x^2

1 answer:

4 0

Since each term contains x, x= 0 is one answer Also as x^2 is a factor it has duplicity 2.
Factoring:-

x^2 (x^2 - 4x + 3) = 0
x^2( x - 3)(x - 1) = 0

so x = 3 and x = 1 are also zeros

Answer:- x = 0 (duplicity 2), x = 1 and x = 3.

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In ABC, O is the centroid of the triangle and AO is 12.7 m. Find the length of OY and AY.

ratelena [41]

Answer:

$\boxed{OY = 6.35 m} \\\boxed{AY=19.05 m}$

Step-by-step explanation:

The centroid of a triangle always cuts a triangle perfectly at 2/3.

What I mean by this is that the line that touches the tip of the triangle and touches the median of the base is cut into one third and its other part is cut into two thirds of the whole segment. This segment is AY.

Knowing this, I can tell that OY is 1/3 of the length of AO, which is given to be 12.7 m.

To find OY, make an equation where AO and OY add up to AY.

$12.7+\frac{1}{3} x=x$

The variable x represents the length of AY, and 1/3x represents the length of OY (because it is one-third of AY).

Solve the equation by subtracting 1/3x from both sides.

$12.7=\frac{2}{3} x$

Divide both sides by 2/3.

$x=19.05$

Now we know the length of AY (x). To find the length of OY substitute this value of x into 1/3x, which represents OY.

$\frac{1}{3} (19.05)$

This gives us 6.35, which is the length of OY.

The final answers are:

OY = 6.35 m
AY = 19.05 m

3 0

3 years ago

Math flavored homework is hard so I need help

Ilya [14]

Answer:

<h2>A) 52 units</h2>

Step-by-step explanation:

The formula of a distance between two points X and Y on the number line:

d = |Y - X|

We have

P = -76, Q = -24

Substitute:

d = |-24 - (-76)| = |-24 + 76| = |52| = 52

3 0

3 years ago

120 caleriess in 2 servings 360 caleries in 6 servings

lutik1710 [3]

Answer:

60 calories per serving

Step-by-step explanation:

Divide to find the unit rate of calories per serving.

120 / 2 = 60

360 / 60 = 60

Best of Luck!

6 0

3 years ago

Read 2 more answers

A=1/2nal solve for n

Tpy6a [65]

The only way I can make sense of this is that the "al" are a mistype and you meant only:

A=1/2n
solve for n

let me know if i'm wrong!

but if I;m corret, you have to mupliply both sides by 2:

2A= $\frac{2}{n}$ n

which ich: 2A=n

so the solution, after inverting the sides is:

n=2A.

8 0

3 years ago

Which of the following represents, "The difference between ten and a number is the sum of eight and a number"?

lora16 [44]

The difference between ten and a number is the sum of eight and a number is represented by:

10 - N = 8 + N

5 0

4 years ago

Read 2 more answers