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storchak [24]
3 years ago
15

These four numbers are plotted on a number line: -2/3, 5/8, -3/5, and -1/2. Which is the correct ordering on the number line fro

m left to right?
A. -1/2, -3/5, 5/8, -2/3
B. -3/5, -2/3, -1/2, 5/8
C. -2/3, -3/5, -1/2, 5/8
D. -1/2, -3/5, -2/3, 5/8​
Mathematics
1 answer:
stiks02 [169]3 years ago
5 0

Answer:

-2/3 ; - 3/5 ; - 1/2 ; 5/8

Step-by-step explanation:

Given that:

We could convert the numbers to decimal to obtain a better view of the values :

-2/3 = - 0.66666

5/8 = 0.625

-3/5 = - 0.6

-1 /2 = - 0.5

Negative values are always arranged first on left of a number line.

-0.66666 < - 0.6 < - 0.5 <0.625

Hence,

-2/3 ; - 3/5 ; - 1/2 ; 5/8

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<u>Step 1:  Solve using the first point</u>

<em>(2, 28)</em>

28 = a(2)^3 + b(2)^2 + c(2) + d

28 = 8a + 4b + 2c + d

<u>Step 2:  Solve using the second point</u>

<em>(-1, -5)</em>

-5 = a(-1)^3 + b(-1)^2 + c(-1) + d

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<u>Step 3:  Solve using the third point</u>

<em>(4, 220)</em>

220 = a(4)^3 + b(4)^2 + c(4) + d

220 = 64a + 16b + 4c + d

<u>Step 4:  Solve using the fourth point</u>

<em>(-2, -20)</em>

-20 = a(-2)^3 + b(-2)^2 + c(-2) + d

-20 = -8a + 4b - 2c + d

<u>Step 5:  Combine the first and fourth equations</u>

<u />28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d

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<u>Step 6:  Solve for c in the second equation</u>

-5 + 5 = -a + b - c + d + 5

0 + c = -a + b - c + c + d + 5

c = -a + b + d + 5

<u>Step 7:  Substitute d with the stuff we got in step 5</u>

c = -a + b + (4 - 4b) + 5

c = -a + b + 4 - 4b + 5

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<u>Step 8:  Substitute d and c into the first equation</u>

<u />28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)

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