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arlik [135]
1 year ago
6

Write an absolute value equation to satisfy the given solution set shown on a number line.

Mathematics
1 answer:
balandron [24]1 year ago
6 0

The absolute value equation with the wanted solutions is:

|x| - 1/2 = 0

<h3>How to find the absolute value equation?</h3>

Here we want to find an absolute value equation such that the solutions are:

x = -1/2 and x = 1/2.

Remember that the absolute value equation always changes the sign, such that the outcome is positive.

This means that:

|1/2| = 1/2

|-1/2| = 1/2

Then a trivial equation with these two solutions is:

|x| - 1/2 = 0

Where the two solutions are x = 1/2 and x = -1/2.

If you want to learn more about absolute value equations:

brainly.com/question/5012769

#SPJ1

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Which expression gives the distance between the points (2,4) and (-4,8)?
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Find the simple interest earned on $2600 invested for 3 years at 12% per annum​
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Answer:

$936

Step-by-step explanation:

Simple interest is money you can earn by initially investing some money (a.k.a the principal). In return, a percentage (a.k.a the interest) of the initial money invested is added to the principal, this is what makes your initial investment grow.

The equation for simple interest is:

I = P x r x t

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Fill in the values:

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9. The ticket at right has a perimeter of 42 cm.
Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

Perimeter =2\times 11 + 4 \times L

This gives

2\times11 + 4 \times L = 42

22 + 4 \times L = 42

Collect like terms

4 \times L = 42-22

4 \times L = 20

Divide both sides by 4

L =5cm

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

Gold = 4 \times L

Gold = 4 \times 5cm

Gold = 20cm

(c) The number of gold ink bottles.

n = 200 --- number of tickets

The length of all gold line in the 200 tickets is:

Length = 200 \times Gold

Length = 200 \times 20cm

Length = 4000 cm

Length = 4000 \times 0.01m ---- convert to meters

Length = 40m

Given that:

Bottle = 20m --- 1 bottle for 20 m

The number of bottles (n) is:

n = \frac{Length}{Bottles}

n = \frac{40m}{20m}

n = 2

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

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