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s344n2d4d5 [400]

3 years ago

6

Classify the number -3.12122122212222... Rational Irrational

1 answer:

Brums [2.3K]3 years ago

3 0

Answer:

-3.12122122212222 is rational

Step-by-step explanation:

it is rational because when you put repeating numbers into fractional form, both the numerator and denominator become non-fractional whole numbers

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If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),

nikklg [1K]

Step-by-step explanation:

<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>

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

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

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

$8 = 8b + 2d$

$8 - 8b = 8b - 8b + 2d$

$(8 -8b)/2 = 2d/2$

$4 - 4b = d$

<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>

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

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

$c = -a - 3b + 9$

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

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

$28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b$

$28 - 22 = 6a - 6b + 22 - 22$

$6 / 6 = (6a - 6b) / 6$

$1 + b = a - b + b$

$1 + b = a$

<u>Step 9: Substitute a, b, and c into the third equation</u>

$220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)$

$220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b$

$220 - 100 = 60b + 100 - 100$

$120 / 60 = 60b / 60$

$2 = b$

<u>Step 10: Find a using b = 2</u>

$a = b + 1$

$a = (2) + 1$

$a = 3$

<u>Step 11: Find c using a = 3 and b = 2</u>

$c = -a - 3b + 9$

$c = -(3) - 3(2) + 9$

$c = -3 - 6 + 9$

$c = 0$

<u>Step 12: Find d using b = 2</u>

$d = 4 - 4b$

$d = 4 - 4(2)$

$d = 4 - 8$

$d = -4$

Answer: $a = 3, b = 2, c = 0,d = -4$

6 0

3 years ago

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The question is :

gtnhenbr [62]

64 lb = 29.0299 KG
Rounding to the nearest hundredth, it's 29.03 KG

4 0

3 years ago

Solve for x<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B4%7D" id="TexFormula1" title="\frac{5x}{4}" alt="\frac{5x}{4

valkas [14]

Answer:

I've shown the process in the picture .

hope u understand

4 0

3 years ago

Mark the congruent parts of the triangles and complete the proof

eimsori [14]

1) given

2) definition of an angle bisector

3) reflexive

4) $\triangle ABD \cong \triangle CBD$ (ASA)

5) $\angle A \cong \angle C$ (CPCTC)

3 0

2 years ago

Naya [18.7K]

Answer:

<u>From the box plot we get:</u>

Minimum - 14
Maximum - 88
Quartile 1 - 34
Quartile 3 - 65
Median - 48

7 0

3 years ago

Read 2 more answers