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Vlad [161]
1 year ago
15

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

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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

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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.

<h3>Step 1</h3>

Multiply 6/1 by 2/3

6x2=12

1x3=3

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

<u></u>

<h3>Step 2</h3>

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
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