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e-lub [12.9K]
3 years ago
15

The equation of liner is y = -x - 6. Line s includes the point (-1, -3) and is parallel to line

Mathematics
1 answer:
Reptile [31]3 years ago
4 0

Answer:

90 hardcover books

Step-by-step explanation:

We can solve this by setting up a couple of equations.

Let's allow x to represent the number of paperbacks Tim owns, and allow y to represent the number of hardcover books he owns.

Using the information in the question, we can write the equations:

1)x = 4y-3

2) x+y=447

Let's rearrange equation 1 so that it is in standard form:

x-4y=-3

And then let's multiply equation 2 by 4 so that we can cancel out y when we solve the system of equations:

4(x+y=447)

4x+4y=1,788

Then we can add the two equations and solve for x:

  1) x-4y=-3

+ 2)4x+4y=1,788

------------------------------------

5x=1,785

x=357

So now we now the number of paperback books Tim has is 357. Let's plug this into one of the original equations to solve for the number of hardcover books (y):

357+y=447

y=90

And now we know that Tim owns 90 hardcover books.

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2 points
miskamm [114]

The x - intercept of 5x - 3y = 15 is (3, 0)

The y -intercept of 5x - 3y = 15 is (0, -5)

<h3><u>Solution:</u></h3>

Given equation is 5x - 3y = 15

<em><u>To find: x - intercept and y -intercept</u></em>

The x intercept is the point where the line crosses the x axis. At this point y = 0

The y intercept is the point where the line crosses the y axis. At this point x = 0.

<em><u>Finding x - intercept:</u></em>

To find the x intercept using the equation of the line, plug in 0 for the y variable and solve for x

So put y = 0 in given equation

5x - 3(0) = 15

5x = 15

x = 3

So the x - intercept is (3, 0)

<em><u>Finding y - intercept:</u></em>

To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y

So put x = 0 in given equation

5(0) - 3y = 15

-3y = 15

y = -5

So the y - intercept is (0, -5)

5 0
3 years ago
4) Point (1, 4) is reflected over the y-axis. What are the new coordinates?​
Viefleur [7K]

Answer:

(-1,4)

Step-by-step explanation:

Reflection Rule for over the y axis: A(x,y) A'(-x,y)

Hope this helps!

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Answer:

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Step-by-step explanation:

I used a calculator

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When a line is perpendicular, the slope is the negative reciprocal. Therefore, since the slope is 4, the slope of a line perpendicular is -1/4
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Five more than the product of a number and 8 is equal to 6.
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Answer:

8n+5=6

Step-by-step explanation:

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