All categories

1 year ago

Help…

Mathematics

1 answer:

xeze [42]1 year ago

4 0

The domain for the function f(x) = |x + 1| is the set of all real numbers.

The range of the function is the set of positive real numbers.

Given the function f(x) = |x + 1|

f(-4) = |-4 + 1| = | -3| = 3

This means that the number -4 is at a distance of 3 units away from -1 on the number line.

f(2) = |2 + 1| = |3| = 3

This means that the number 2 is at a distance of 3 units away from -1 on the number line.

f(1.5) = |1.5 + 1| = |2.5| = 2.5

This means that the number 1.5 is at a distance of 2.5 units away from -1 on the number line.

Learn more at:

Domain and range - brainly.com/question/2264373

Absolute value or modulus function - brainly.com/question/12980508

#SPJ9

You might be interested in

Identify the values of m and b of the linear function y = mx + b, graphed below.

Varvara68 [4.7K]

<h2>Finding the slope and y-intercept of a line given the graph</h2><h3>Answer:</h3>

$b = 4$

$m = -\frac{1}{3}$

<h3>Step-by-step explanation:</h3>

An equation of a line written in its Slope-intercept Form, $y = mx +b$ , has $b$ as its $y$ -intercept and $m$ as its slope.

$b$ or the $y$ -intercept is the $y$ -coordinate when $x = 0$ . On the given line, we can see that when $x = 0$ , $y = 4$ . It's $y$ -intercept is the point $(0,4)$ so $b = 4$ .

The slope, $m$ , of the line can be calculated by $\frac{y_2 -y_1}{x_2 -x_1}\\$ where $x_n$ and $y_n$ is the $xy$ -coordinates of any point $n$ on the line. In the given line, we can see that $(5,3)$ is on the line so this can be point $1$ . $(0,4)$ is also on the line (yes, you can also use the $y$ -intercept in calculating the slope of the line) so this can be our point $2$ .

$m = \frac{4 -3}{0 -3} \\ m = \frac{1}{-3} \\ m = -\frac{1}{3}$

The $y$ -intercept is $b = 4$ and the slope is $m = -\frac{1}{3}$

5 0

3 years ago

Given the linear correlation coefficient r and the sample size, n, determine the critical values of r and use you finding to sta

ololo11 [35]

Answer: A.) Critical values: r= ± 0.514, no significant linear correlation

Step-by-step explanation:

r = 0.105

n = 15

The level of significance for a two-tailed test is 0.05

The degrees of freedom = n - 2 = 15 - 2 = 13

Using the pearson product moment correlation Coefficient table ; The critical value for the correlation Coefficient is ±0.513977

When the correlation coefficient (for a sample of 15 drawn from the same population) is less than ±0.514 (critical value), that means no significant linear correlation exists.

7 0

4 years ago

Suppose you observe a star orbiting the galactic center at a speed of 1300 km/skm/s in a circular orbit with a radius of 18 ligh

laila [671]

Answer: 1.1818^37 kg

Step-by-step explanation:

Given that:

Orbit speed = 1300 km/s

Radius (r) = 18 light days

Mass of object the star is orbiting :

Using the relation :

M = rv² / G

Where ; r = Radius in m ; v = velocity in m/s

G = 6.67 * 10^-11 = gravitational constant

18 light days in meters = 4.662 * 10^14 m

v = 1300km/s to m/s

v = (1300 * 1000)m /s = 1300000 m/s = 1.3 * 10^6 m/s

Hence ;

M = (4.662 * 10^14 * (1.3 * 10^6)^2 / (2/3) * 10^-10

M = (4.662 * 10^14) * (1.69 * 10^12) / (2/3) *10^-10

M = (7.87878 * 10^26) / 6.67 * 10^-11

= 1.1818^37 kg

7 0

3 years ago

Convert the percent to fraction <br>60%

Tcecarenko [31]

Answer: 6/10 or 3/5

Step-by-step explanation: 60% is 6/10 which is simplified by divided into 2 is 3/5

7 0

3 years ago

Read 2 more answers

Betty is making 6 skirts. Each skirt uses 2/3 of a yard. How many yards does she need?

AysviL [449]

Answer:

She needs 4 yards.

Step-by-step explanation:

To multiply fractions, you just multiply the whole number by the numerator of the fraction.

<em>The numerator is the top number of a fraction.</em>

<em>The denominator is the bottom number of a fraction.</em>

You can think of the whole number 6 as the fraction 6/1.

Multiply 6/1 by 2/3

6x2=12

1x3=3

So, 6/1x2/3=<u>12/3</u>

<u></u>

Now you need to simplify the fraction

Because the numerator is a muliple (number that can be devided by) of 3, devide the numerator by the denominator.

12÷3=4

<h2>So betty needs 4 yards of fabric to make 6 skirts.</h2>

8 0

4 years ago