Which of the following rational numbers has the smallest absolute value? -1.5, -4, 8, or 0.5?

Mathematics

2 answers:

ICE Princess25 [194]4 years ago

6 0

The answer is 0.5

you're welcome

Marrrta [24]4 years ago

5 0

-4 por qu si locas en una linea numerica ese seria el que esta mas a la izqerda

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Given: x - 6.3333 ≤ 1.5 .

Inessa05 [86]

Answer:

$x$ or $(-\infty, 47/6]$

Step-by-step explanation:

Note that $6.3333 = 6 1/3 = 19/3 = 38/6$ .

Also, note that $1.5 = 1 1/2 = 3/2 = 9/6$ .

So, the inequality is really equal to $x-38/6$ .

We can then add $38/6$ to both sides to get $x$ .

So, the solution is $x$ , or in interval notation, $(-\infty, 47/6]$

3 0

3 years ago

2. Determine if either of the following equations are functions? Draw the graphs and explain how

nekit [7.7K]

Answer:

Both equation represent functions

Step-by-step explanation:

The function is the relation that for each input, there is only one output.

A. Consider the equation

$y=-\dfrac{3}{5}x+2$

This equation represents the function, because for each input value x, there is exactly one output value y.

To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.

When you intersect the graph of the function $y=-\dfrac{3}{5}x+2$ with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.

B. Consider the equation

$y=x-x^2$

This equation represents the function, because for each input value x, there is exactly one output value y.

When you intersect the graph of the function $y=x-x^2$ with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.