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Mashcka [7]
3 years ago
10

Please help right away and now.

Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

The y-intercept is the point where a line or curve intersects the y-axis; in other words, it's the point on the function where x = 0. If we want to find the y-intercept for the first function x + 4y = 8, we can replace x with 0 and solve for y:

0 + 4y = 8

4y = 8

y = 2

So, the y-intercept for the first function, and therefore the y-intercept for the second function, is (0, 2)

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If f(x) = 3x - 1 and g(x) = x + 2, find (f - g)(x).
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Answer:

\boxed{\sf (f - g)(x) = 2x - 3}

Given:

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To Find:

(f - g)(x)

Step-by-step explanation:

\sf (f -g)(x) = f(x) - g(x) \\ \\   \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =(3x - 1) - (x + 2) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =3x - 1 - x - 2 \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =3x - x - 1 - 2 \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =(3x - x) - (1 + 2) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =2x - (1 + 2) \\  \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \: =2x - 3

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seropon [69]
Solve the following system:
{3 x - 5 y = 7 | (equation 1)
{10 y - 4 x = 16 | (equation 2)


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{-(4 x) + 10 y = 16 | (equation 1)
{3 x - 5 y = 7 | (equation 2)

Add 3/4 × (equation 1) to equation 2:
{-(4 x) + 10 y = 16 | (equation 1)
{0 x+(5 y)/2 = 19 | (equation 2)


Divide equation 1 by 2:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+(5 y)/2 = 19 | (equation 2)


Multiply equation 2 by 2:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+5 y = 38 | (equation 2)

Divide equation 2 by 5:
{-(2 x) + 5 y = 8 | (equation 1)
{0 x+y = 38/5 | (equation 2)

Subtract 5 × (equation 2) from equation 1:
{-(2 x)+0 y = -30 | (equation 1)
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Divide equation 1 by -2:
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Collect results:
Answer:  {x = 15
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