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2 years ago

Shen picks a rational number.What is true about the opposite of his number?

Mathematics

2 answers:

Digiron [165]2 years ago

8 0

Answer:

It is the same distance from zero as his original number.

Step-by-step explanation:

Andreyy892 years ago

3 0

It is the same distance from 0 as the original number

a rational number is any number that can be written as a fraction.
lets say she picked 1/4...the opposite would be -1/4...both are equidistant from 0.

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What is the answer for: 7 - 8(x-3)=x-14

ikadub [295]

Answer:

1. x=5

2.x=-33/8

3.x=10

4.x=5

Step-by-step explanation:

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2 years ago

What is the domain of the relation? Express your answer using inequalities.

son4ous [18]

Answer:

-6<x<0

- -

Step-by-step explanation:

make them less than or equal to signs, I don't know how to do that on a computer, I hope I am correct

point one on the left is -6, point 2 on the right is 0 (in terms of the x-axis, that's what domain is )

when there is arrows in the graph, the x/y is always in the middle.

Good luck! Hope I'm not late!

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2 years ago

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Find the exact circumference of a circle with diameter equal to 8 ft

lina2011 [118]

The formula for circumference is C= 2(pi)(r)^2. Because diameter is double the radius, and the diameter is 8 ft, the radius is 4 ft. So, plug that into the equation, and you get: C=2(pi)(4)^2. The answer is 32 pi ft. If the question asks for the exact answer, keep the pi as it is, but if it says to round, multiply 32 by pi and round.

6 0

3 years ago

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How do you put f(8)=-1,f(6)=0 into point slop form?

Mademuasel [1]

Answer:

y + 1 = -1/2(x - 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

Step-by-step explanation:

Step 1: Define

f(8) = -1 → Coordinate (8, -1)

f(6) = 0 → Coordinate (6, 0)

Step 2: Find slope m

Substitute [SF]: $m=\frac{0+1}{6-8}$
Add/Subtract: $m=\frac{1}{-2}$
Simplify: $m=\frac{-1}{2}$

Step 3: Write Function

Substitute into general form.

Point 1: y + 1 = -1/2(x - 8)
Point 2: y = -1/2(x - 6)

4 0

3 years ago

Find the value of x for which the function y = x5-x³ + x² - 1 has a local minimum.

melisa1 [442]

The given function presents a local minimum in the coordinates (0,-1).

<h3>Factoring</h3>

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

For solving this question, the given equation should be rewritten from the factoring.

$x^5-x^3+x^2-1=\left(x+1\right)^2\left(x-1\right)\left(x^2-x+1\right)=0$ . Then, you have 3 equations.

From the Zero Factor Principle, you can write

Equation 1

(x+1)²=0

x+1=0

x= -1

Equation 2

x-1=0

x=1

Equation 3

x²-x+1=0

$x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\ \\ x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{3}i}{2\cdot \:1}$

From these points it is possible to plot a graph and you can see that the local minimum presents the coordinates (0,-1).