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Tom [10]
3 years ago
13

Find the equation of the line. Write the equation using function notation. Through (-3,-9); parellel to 5x+3y=8

Mathematics
1 answer:
mihalych1998 [28]3 years ago
3 0

Answer:

The equation of a parallel line in point-slope form would be f(x) = -5/3x - 14

Step-by-step explanation:

To find this, we must first find the slope of the original line. We can do this by solving for y.

5x + 3y = 8

3y = -5x + 8

y = -5/3x + 8/3

Now that we have the slope of the original line, we can use the point and slope and put them into the base form of point-slope form. Then we solve for y to get the final result.

y - y1 = m(x - x1)

y + 9 = -5/3(x + 3)

y + 9 = -5/3x - 5

y = -5/3x - 14

Then to get the function notation, we need to replace the y with f(x).

f(x) = -5/3x - 14

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Step-by-step explanation:

From the given right angle triangle,

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A bouquet of lilies and tulips has 20 flowers. Lilies cost 3$ each and tulip cost 2$ each. The bouquet costs $48 how many lilies
olchik [2.2K]

Answer:

8 lilies and 12 tulips flowers

Step-by-step explanation:

Let x be the lilies and y be the tulips flower.

Given:

Total flowers = 20

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Tulip cost = $2

Bouquet cost = $48

Solution:

A bouquet of lilies and tulips has 20 flowers, so sum of the lilies and tulip flower is equal to 20 flower,

x+y =20 -----------------(1)

Since lilies cost $3 each, tulip cost $2 each and bouquet cost is equal to $48, so we write the equation as.

3x+2y=48 ------------------(2)

From equation 1.

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Substitute x=20-y in equation 2 and simplify.

3(20-y)+2y=48

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Substitute y=12 in equation 3.

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x=8

Therefore, 8 lilies and 12 tulips flowers in the bouquet.

7 0
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