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3 years ago

Why is the product of two rational numbers always rational?

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

5 0

Answer:

all three blanks are integers

Step-by-step explanation:

Let a/b and c/d represent two rational numbers. This means a, b, c, and d are _integers____, and b and d are not 0. The product of the numbers ac/bd, where bd is not 0. Both ac and bd are integers_____, and bd is not 0. Because ac/bd is the ratio of two integers_____, the product is a rational number.

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A scatter plot is shown. Which statement is true for the scatter plot?

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We need the multi choices to answer that

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3 years ago

Please explain and tell me how to do it please

dsp73

The answer is b) y = 3x + 3.

To find this, we first need to find the slope. The slope formula is listed below.

m = (y2 - y1)/(x2 - x1)

In this equation, m is the slope, and (x1, y1) is the first point, where (x2, y2) is the second point. We'll use (2, 9) and (3, 12) for the points.

m = (y2 - y1)/(x2 - x1)

m = (12 - 9)/(3 - 2)

m = 3/1

m = 3

Now that we have the slope at 3. we can use slope intercept form and one point to solve for the y-intercept. We'll use (2, 9) as the point.

y = mx + b

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When we use the slope and intercept together to get the equation. y = 3x + 3

8 0

3 years ago

Select the graph of g(x) = |-2х + 6| can someone tell me if this is right

Sauron [17]

Answer:

Step-by-step explanation:

the graph should be facing up.

6 0

3 years ago

Read 2 more answers

Hi, Could anyone help me with my homework

tatiyna

Answer:

$\hookrightarrow \sf x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096$

solving steps:

$\rightarrow \sf (x + 4)^6$

$\bold{rewrite \ the \ following}$

$\rightarrow \sf (x + 4)^2 (x + 4)^2 (x + 4)^2$

$\bold {formula \ used : \sf (x+a)^2 = (x^2 + 2xa + a^2)}$

$\rightarrow \sf (x^2 + 8x+16) (x^2 + 8x+16) (x^2 + 8x+16)$

$\bold{simplify \ by \ removing \ parenthesis}$

$\rightarrow \sf (x^4 +8x^3 + 16x^2 + 8x^3 +64x^2 + 128x+16x^2+128x+256 ) (x^2 + 8x+16)$

$\bold{basic \ addition \ of \ integers }$

$\rightarrow \sf (x^4+16x^3+96x^2+256x+256) (x^2 + 8x+16)$

$\bold{remove \ parenthesis}$

$\rightarrow \sf (x^6 + 16x^5 + 96x^4 + 256x^3 + 256x^2 + 8x^6 + 128x^4 + 768x^3 + 2048x^2 + 2048 + 16x^4 + 256x^3 + 1536x^2 + 4096x + 4096)$

$\bold {final \ answer:}$

$\rightarrow \sf x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096$

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2 years ago

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4 years ago