MATHEMATICS HIGH SCHOOL

If f(x) is a polynomial with real coefficients and zeros of 4(multiplicity 2 ), -1(multiplicity2 ),-1+8i , and 2-2i, what is the minimum degree of f(x) ?

Answers

Answer 1

Answer:

The minimum degree of polynomial f(x) = 6

Step-by-step explanation:

Multiplicity for a polynomial equation is the number of times the polynomial has that particular root.

The roots of this polynomial is given as

4(multiplicity 2 ), -1(multiplicity2 ), (-1+8i), and (2-2i)

Hence, the true roots of this particular polynomial are 4, 4, -1, -1, (-1+8i), and (2-2i)

Making a total of 6 roots.

The number of roots of a polynomial is the minimum degree of such a polynomial.

Hence, the minimum degree of this polynomial is 6.

Hope this Helps!!!

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A swimming pool holds 900 cubic meters of water. If its length is 20 meters and its height is 3 meters, find its width

Answers

V=900m³

V=L*w*h

V=20*3*w
V=60*w

60*w=900

w=900/60
w=15m

$Volume \ of \ a \ Cuboid: \n \n V=9000 m^3 \nthe \ length : \ l=20 \ m \n the \ height: \ h=3 m \n the \ width : \ w= ? \n \nV= l\cdot w \cdot h \n \n900 =20 \cdot w \cdot 3 \n \n900=60w \ \ / :60\n \n w=15 \ m \n\nAnswer : \ A \ swimming \ holds \ 15 \ meters\ the \ width .$

The sales tax is 6% and the item is $110.00. How much do I add for sales tax?

Answers

$6.60

6% of $110 is 33/5
Which when divided is 6.6
And in dollars it is $6.60

What is slope of the line 15x-3y=90

Answers

Final answer:

The slope of the line 15x - 3y = 90 is 5.

Explanation:

The slope of a line can be determined using the equation in slope-intercept form, y = mx + b, where m represents the slope. To find the slope of the line 15x - 3y = 90, rearrange the equation to the form y = mx + b. Subtract 15x from both sides to isolate the -3y term, and then divide both sides by -3 to solve for y as a function of x. The resulting equation will be in the form y = mx + b, and the coefficient of xwill be the slope.

15x - 3y = 90
-3y = -15x + 90
y = 5x - 30

Therefore, the slope of the line 15x - 3y = 90 is 5.

Learn more about Slope here:

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The line is not in slope intercept form, so you need to get y by itself

15x -3y = 90

Subtract 15x

-3y = -15x + 90

Divide by -3

y = 5x -30

So, the slope (x) is 5/1.

I hope that helps!

Eleanor had a gross income of $2,478.15 during each pay period in 2010 if she got paid monthly how much of her pay was deducted for FICA in 2010

Answers

According to reliable sources online, the FICA rate last 2010 amounted to 6.2%. The amount deducted to Eleanor's pay monthly is calculated by multiplying the monthly pay and the rate. That is,
FICA (monthly) = ($2,478.15)(0.062)
= $153.636
Multiplying that amount by 12 (since there are 12 months in a year) is equal to $1843.632. Thus, $1843.632 was deducted from Eleanor's pay last 2010 for FICA.

A carton of paper is priced at $27.00 now. If the paper goes on sale for 25% off the current price, what will be the sale price of the carton?