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lyudmila [28]
3 years ago
13

Select all the true statements. A. Negative integers are rational numbers B. Mixed numbers are irrational numbers C. Decimal num

bers that terminate, like 0.125, are rational numbers D. Decimal numbers that go on forever with repeating patterns, like 4.272727..... are irrational numbers E. Decimal numbers that go on forever with no repeating patterns are irrational numbers
Mathematics
1 answer:
nadezda [96]3 years ago
6 0

Answer:

The correct answer is A.; C.; E.

Step-by-step explanation:

A. Negative integers are rational numbers because all integers are rational numbers, i.e. integers are a subset of rational numbers, making the statement correct.

B. Mixed numbers are rational numbers because they can be written in the form of a simple fraction and thus the statement B is wrong.

C. Decimal numbers that terminate, like 0.125, are rational numbers is true as they can be written as a simple fraction making the statement true.

D. Decimal numbers that go on forever with repeating patterns, like 4.272727..... are irrational numbers is false as they can also be represented by a simple function making them rationals.

E. Decimal numbers that go on forever with no repeating patterns are irrational numbers as they can never be written as a simple fraction making the statement E true.

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UkoKoshka [18]

Answer:

Y:

-1

0

2

4

Step-by-step explanation:

if I understand correctly, Y= x+4, you should add all the numbers in the X column by 4

Example:

-7

-7 plus 4 would be -3

the reason for this is when adding negative numbers you always go down instead of going up because if you add the way we add normal number then you will keep going deeper into the negative numbers.

Hope this helps!

8 0
3 years ago
Find the slope and y-intercept of 5x-y+3=0
Minchanka [31]
5x-y+3=0
-y = -5x-3
y = 5x+3
Y = mx+b

M = slope = 5/1 = 5
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7 0
4 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Determine and state the maximum error of the function G(x,y,z)=20 ln⁡(xyz^2 ) using differentials when (x,y,z)=(2,3,4) and given
Leona [35]

Answer:

The maximum error in the function G, ΔG = ±4

Step-by-step explanation:

G(x,y,z) = 20 In (xyz²)

Total or maximum error for a multi-variable function is given by

ΔG = (∂G/∂x) (Δx) + (∂G/∂y) (Δy) + (∂G/∂z) (Δz)

(∂G/∂x) = 20yz²/xyz² = 20/x

(∂G/∂y) = 20xz²/xyz² = 20/y

(∂G/∂z) = 40xyz/xyz² = 40/z

Δx = ±0.10

Δy = ±0.15

Δz = ±0.20

ΔG = (∂G/∂x) (Δx) + (∂G/∂y) (Δy) + (∂G/∂z) (Δz)

ΔG = (20/x) (0.10) + (20/y) (0.15) + (40/z) (0.2)

At the point (x,y,z) = (2,3,4)

ΔG = (20/2) (0.10) + (20/3) (0.15) + (40/4) (0.2) = 10(0.10) + 20(0.05) + 10(0.2) = 1 + 1 + 2 = 4

ΔG = ±4

6 0
3 years ago
N - 89 &gt; 171. what inequality below true. 1. n=82. 2. n=105. 3. n=268. 4. n=300. 5. n=312​
Maru [420]

Answer:

1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.

Square the equality √2 + √3 = r − √5 to obtain 5 + 2

√6 = r2 + 5 − 2r

√5. It follows

that 2√6 + 2r

√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r

√30

is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is

irrational can now be applied to show that this is not true. Write √30 = m

n in lowest

terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because

2( m

2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest

terms, a contradiction. We conclude that the initial assumption was false, and therefore

√2 + √3 + √5 is irrational.

Step-by-step explanation:

7 0
3 years ago
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