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lakkis [162]
3 years ago
9

Find the polynomial function with leading coefficient 3 that has the given degree and zeros.

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0
So you know that there are three zeroes, and that it is to the 3rd degree, so you know that there are going to be 3 terms initially.

(x+2)(x-1)(x-4) - You can multiply by 3 at the end

x^2 - x + 2x -2
(x^2 + x - 2)(x - 4)

x^3 - 4x^2 + x^2 - 4x - 2x + 8
x^3 - 3x^2 - 6x + 8

f(x) = 3x^3 - 9x^2 - 18x + 24
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N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N. N
S_A_V [24]

Answer:

N = {13, 15, 17, 19}

Step-by-step explanation:

The natural numbers greater than 11 and less than 21 are:

12, 13, 14, 15, 16, 17, 18, 19 and 20

Odd numbers are numbers that have remainders when divided by 2. Out of the numbers above, the numbers with remainders when divided by 2 are 13, 15, 17 and 19.

Since N is the set of odd natural numbers greater than 11 and less than 21,

N = {13, 15, 17, 19}

4 0
3 years ago
Read 2 more answers
A card is drawn from a standard deck of 52 cards. What is the theoretical probability as a decimal of drawing the number 8? Roun
Alborosie

The answer would be 0.15 because in a deck there are only 4 cards of 8 (diamonds, hearts, clovers, and spades). Since there are 52 cards, you would divide 8 by 52 to get 0.153846, but since it says to round to the nearest hundredths, the answer would be 0.15.

8 0
3 years ago
The perimeter of a rectangle is 100 yd. if its width is four times its length, what is the area?
7nadin3 [17]

<span>Length = l</span>

<span>
Width = w</span>

<span>
Perimeter = p = 100

</span>

<span>Perimeter of rectangle = 2(l+w)</span>

<span>
100 = 2 (4w + w)</span>

<span>
100 = 2(5w)</span>

<span>
100 = 10w</span>

<span>
100/10 = w</span>

<span>
10 = w</span>

<span>
w =  10



Area of rectangle = length * width</span>

<span>
a = l*w</span>

<span> a = 4w*w</span>

<span>
a = 4w^2............(1)</span>

<span>
Put the value of w in (1)</span>

<span>
a = 4(10)^2</span>

<span>
a= 4(100)</span>

<span>
a = 400 yd^2</span>

4 0
3 years ago
Samantha can run one mile in 8 minutes. At this rate how long will it take her to run in 5 miles
Serhud [2]
It would take Samantha 40 minutes to run 5 miles!!!
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3 years ago
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Put the following equation of a line into slope-intercept form, simplifying all fractions.
svetoff [14.1K]
The answer of your question is 4x +6y = - 5

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3 years ago
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