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4 years ago

12

HoConjecture #1- The sum or difference of two rational numbers is always?

1 answer:

charle [14.2K]4 years ago

5 0

the sum or difference of two rational numbers is always RATIONAL

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Find the product -a2 b2 c2 (a+b-c)

mina [271]

Use the distributive property:
$a(c+b)=ab+ac$
And
$a^n\cdot a^m=a^{n+m}\\\\a=a^1$

$-a^2b^2c^2(a+b-c)=-a^2ab^2c^2-a^2b^2bc^2+a^2b^2c^2c=-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3$

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3 years ago

5 more than twice x (algebraic expression)

goldenfox [79]

5 + 2x

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3 years ago

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Which of the following is a rational number?

artcher [175]

Hey! Your rational number would be $\sqrt{4}$

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3 years ago

The sum of the first 12 terms of a geometric sequence with 10 as the first term and a common ratio of 0.3 is __________.

BaLLatris [955]

Answer: 14.2638366937

Step-by-step explanation:

A geometric sequence is a sequence in which each term is multiplied by a number, called the common ratio, to get the next term.

So, if the first term of the geometric sequence is 10 and the common ratio is 0.3, the sequence would be 10, 0.3(10), 0.3 x 0.3 x 10... and so forth. This becomes:

10, 3, 0.9, 0.27, 0.081, 0.00243, 0.00729, 0.002187, 0.0006561, 0.00019683, 0.000059049, 0.0000177147...

You add these first 12 terms to get 14.2638366937.

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3 years ago

1.) What is the best approximation of the solution to the system to the nearest integer values?

melisa1 [442]

<u>Part 1)</u> we have

$5x+2y=16$ ------> equation A

$x+3y=12$

$x=12-3y$ ------> equation B

Substitute the equation B in equation A

$5[12-3y]+2y=16$

$60-15y+2y=16$

$13y=44$

$y=44/13=3.38$

Find the value of x

$x=12-3(44/13)=1.85$

the best approximation is the point $(2.3)$

therefore

<u>the answer Part 1) is the option C</u>

$(2.3)$

<u>Part 2) </u>we have

$y=-x-2$ ------> equation A

$y=3x+2$ ------> equation B

equate equation A and equation B

$-x-2=3x+2$

$4x=-4$

$x=-1$

Find the value of y

$y=-(-1)-2=-1$

the solution is the point $(-1,-1)$

therefore

<u>the answer Part 2) is </u>

$(-1,-1)$

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3 years ago

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