All categories

4 years ago

Absolute value functions

Mathematics

1 answer:

valkas [14]4 years ago

5 0

I only know one function:
it gives us the exact value of a number

You might be interested in

Find an equation of the line parallel to 8x − 3y = 1 and containing the point (−2, 0)

Anna007 [38]

The equation of the line parallel to 8x − 3y = 1 and containing the point (−2, 0) is 8x -3y = -16

<h3>Equation of a straight line</h3>

From the question, we are to determine the equation of the line parallel to the given equation and that passes through the given point

Lines that are parallel to each other will have the same slope.

First, we will determine the slope of the line in the given equation.

The given equation of the line is

8x − 3y = 1

Express the equation in the slope-intercept form of a line, y = mx + b

Where m is the slope and

b is the y-intercept

That is,

8x − 3y = 1

8x -1 = 3y

3y = 8x - 1

y = 8/3(x) - 1/3

By comparing,

∴ The slope of the line is 8/3

Since we are to find the equation of a line parallel to this, the slope of the line will also be 8/3

Now, find the equation of a line containing the point (-2, 0) and that has a slope of 8/3

Using the point-slope form of a line

y - y₁ = m(x - x₁)

x₁ = -2

and y₁ = 0

∴ y - 0 = 8/3(x - -2)

y = 8/3(x +2)

3y = 8(x +2)

3y = 8x + 16

8x -3y = -16

Hence, the equation of the line parallel to 8x − 3y = 1 and containing the point (−2, 0) is 8x -3y = -16

Learn more on Equation of a line here: brainly.com/question/13763238

#SPJ1

5 0

2 years ago

The u.S. Women's olympic soccer team had a great year in 2004. One way to describe the players on that team is by their individu

gladu [14]

(a) construct an un-grouped frequency distribution and relative frequency distribution for the heights.

Answer: The un-grouped frequency distribution and relative frequency distribution for the heights is given below:

Heights (Inches) Frequency Relative Frequency

64 2 $\frac{2}{18} =0.111$

65 4 $\frac{4}{18} =0.222$

66 3 $\frac{3}{18} =0.167$

67 3 $\frac{3}{18} =0.167$

68 2 $\frac{2}{18} =0.111$

69 2 $\frac{2}{18} =0.111$

71 2 $\frac{2}{18} =0.111$

3 0

3 years ago

4. Both the Galapagos Islands and the island of Naura are on the Equator, but the Galapagos Islands are at 90.30◦W whereas the i

nordsb [41]

Answer:

Distance between Nauru and Galapagos islands = 11525 Km to the nearest Km

Step-by-step explanation:

The angle between the two Islands is given as X

X = (180 - 166.56) + (180 - 90.30)

X = 13.44° + 89.70°

X = 103.14

Distance between the islands = length of the arc with angle X subtended at the center of the earth of radius R.

Length of arc = (X/360) × 2πR

Where, R, radius of the earth = 6400 Km

Length of arc = (103.14/360) × 2π × 6400 Km

Length of arc = 11525.48 Km

Therefore, distance between Nauru and Galapagos islands = 11525 Km to the nearest Km

3 0

3 years ago

PLEASE ANSWER ILL GIVE BRAINLIEST

Akimi4 [234]

Answer:

First term is 12

Step-by-step explanation:

$a _{n} = 12 - 4(n - 1)$

• For the first term, n is 1:

$a _{1} = 12 - 4(1 - 1) \\ a _{1} = 12 - 0 \\ \\ { \underline{ \: \: a _{1} = 12 \: \: }}$

7 0

3 years ago

Please explain I don’t understand

Dmitrij [34]

Plug numbers into a percentage converter, with each number/decimals the correct conversion into fractions and percentages will be evident. Hope that helps! Google has its own built in converter.

7 0

3 years ago