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3 years ago

Find the value of 17- n when n=8

Mathematics

2 answers:

oee [108]3 years ago

8 0

Answer is 9 because 17 minus 8

jenyasd209 [6]3 years ago

4 0

The answer is nine: 17 minus 8 is 9

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Use the drawing tool(s) to form the correct answer on the provided number line.

miskamm [114]

Answer:

x= 1, x= 4, and x= -3

Step-by-step explanation:

Use the possible combinations of factors of the constant term of the polynomial to find a first root. Try 1, -1, 2, -2, 3, -3, etc.

Notice in particular that x = 1 is a root (makes f(1) = 0):

$f(1)=x^3-2*1^2-11*1+12=1-2-11+12=13-13=0$

So we know that x=1 is a root, and therefore, the binomial (x-1) must divide the original polynomial exactly.

As we perform the division, we find that the remainder of it is zero (perfect division) and the quotient is: $x^2-x-12$

This is now a quadratic expression for which we can find its factor form:

$x^2-x-12=x^2-4x+3x-12=x(x-4)+3(x-4)=(x-4)*(x+3)$

From the factors we just found, we conclude that x intercepts (zeroes) of the original polynomial are those x-values for which each of the factors: (x-1), (x-4) and (x+3) give zero. That is, the values x= 1, x= 4, and x= -3. (these are the roots of the polynomial.

Mark these values on the number line as requested.

7 0

3 years ago

Apply division algorithm to find the quotient and remainder on dividing the polynomial 3 x^ + 4 x^ square + 6 x + 9 by x^ + 3x +

Ulleksa [173]

I suppose you mean

$\dfrac{3x^3+4x^2+6x+9}{x^2+3x+7}$

$3x^3=3x\cdot x^2$ , and if we multiply $x^2+3x+7$ by $3x$ we get $3x^3+9x^2+21x$ . Subtracting this from the numerator gives a remainder of $-5x^2-15x+9$ .

$-5x^2=-5\cdot x^2$ , and multiplying $x^2+3x+7$ by $-5$ gives $-5x^2-15x-35$ . Subtracting this from the previous remainder gives a new remainder of $44$ .

$44$ has no remaining factors of $x^2$ in it, so we're done, and

$\dfrac{3x^3+4x^2+6x+9}{x^2+3x+7}=\underbrace{3x-5}_{\rm quotient}+\dfrac{\overbrace{44}^{\rm remainder}}{x^2+3x+7}$

4 0

4 years ago

The figure shows segment A D with two points B and C on it in order from left to right. The length of segment A B is 22 units, t

valentina_108 [34]

The total length of the segment AD will be 52 units.

The complete question is given below:-

The figure shows segment A D with two points B and C on it in order from left to right. The length of segment A B is 22 units, the length of segment BC is 19 units, and the length of segment C D is 11 units. What will be the total length of the segment AD?

<h3>What is the length?</h3>

The measure of the size of any object or the distance between the two endpoints will be termed the length. In the question the total length is AD.

Given that:-

Segment AD with two points B and C on it in order from left to right.
The length of segment AB is 22 units, the length of segment BC is 19 units, and the length of segment C D is 11 units.

The total length will be calculated as:-

The total length will be equal to the sum of all the segments of line AD. It will be the sum of AB, BC and CD.

AD = AB + BC + CD

AD = 22 + 19 + 11

AD = 52 units

Therefore the total length of the segment AD will be 52 units.

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