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3 years ago

On a number line what is the distance between -3/2 and 6?

Mathematics

2 answers:

sesenic [268]3 years ago

6 0

Answer:

7.5 units

Step-by-step explanation:

The distance is always positive and is same as the absolute value of subtraction of the two numbers on the line.

This can be shown as:

|-3/2 - 6| =
|-1.5 - 6| =
|-7.5| =
7.5

| 6 - (-3/2)| =
|6 + 1.5| =
|7.5| =
7.5

Arada [10]3 years ago

4 0

Answer:

15/2 or 7.5

Step-by-step explanation:

Distance = x_2 - x_1

Distance = 6 - (-3)/2

Distance = 6 + 3/2

Distance = 12 + 3/2

Distance = 15/2 or 7.5

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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?

scoundrel [369]

we have

$f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3$

we know that

The Rational Root Theorem states that when a root 'x' is written as a fraction in lowest terms

$x=\frac{p}{q}$

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

in this problem

the constant term is equal to $3$

and the first monomial is equal to $15x^{11}$ -----> coefficient is $15$

possible values of p are $1, and\ 3$

possible values of q are $1, 3, 5, and\ 15$

therefore

the answer is

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(+/-) $\frac{1}{15}$ ,(+/-) $\frac{1}{5}$ ,(+/-) $\frac{1}{3}$ ,(+/-) $\frac{3}{5}$ ,(+/-) $1$ ,(+/-) $3$

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