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3 years ago

An antiques dealer has 24 clock radios to sell at a 12-hour-long antique-radio sale. Use the graph to complete the table

Mathematics

2 answers:

alex41 [277]3 years ago

6 0

Answer:

y=24-x

Step-by-step explanation:

Looking at the graph we can trace a decreasing Linear function, where the Range is the <em>Radios Remaining</em>

And the Domain is labeled as <em>Hours Completed</em>

As the picture is not quite clear, let's calculate the slope using two points

(0,24) (12,12)

m= $m=\frac{12-24}{0-12}=-\frac{-12}{12}$

As the m=-1, the Linear Coefficient is 24, then

The equation of the line is y=24-x

So now let's plug it in those values

x | y=24-x

0 | 24

2 | 22

4 | 20

6 | 18

8 | 16

10 | 14

12 | 12

Also, another easier way would be to solve it like an Arithmetic Sequence since the difference equals two, and it is decreasing we could mentally find it.

The Range of a Linear Function behaves like an Arithmetic Sequence.

Artist 52 [7]3 years ago

5 0

22, 20, 18, 16, 14, 12

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4 years ago

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3 years ago

1. Write the following in exponential form and as a multiplication sentence using only 10 as a factor

Irina-Kira [14]

Answer:

1. a. 1,000 = 10³ = 10 × 10 × 10

b. 100 × 100 = 10² × 10² = 10 × 10 × 10 × 10

2. a. 3 × 10² = 300

b. 2.16 × 10⁴ = 21,600

c. 800 ÷ 10³ = 0.8

d. 754.2 ÷ 10² = 7.542

Step-by-step explanation:

3. a. 1,000

There are 3 zeros in 1000. This is equivalent to 10 raised to the power of 3. Writing this in multiplication sentence using 19 as the only factor, we would have:

1,000 = 10³ = 10 × 10 × 10

b. 100 × 100

Using the same logic as explained in (a) above, we would have:

100 × 100 = 10² × 10² = 10 × 10 × 10 × 10

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Convert 10² to 100 and multiply both numbers

3 × 10² = 3 × 10 × 10 = 3 × 100 = 300

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2.16 × 10 × 10 × 10 × 10 = 2.16 × 10,000

Multiplying both numbers, since we have 4 zeros, move the decimal point 4 places to the right.

2.16 × 10,000 = 21,600

c. 800 ÷ 10³ = 800 ÷ 10 × 10 × 10

800 ÷ 1,000

There are 3 zeros in 1000, since we are dividing, move the decimal point 3 places to the left.

800 ÷ 1,000 = 0.8

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754.2 ÷ 100

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3 years ago

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tiny-mole [99]

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Here X is -3

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$\rule[225]{225}{2}$

Hope this helped!

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