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Arlecino [84]
3 years ago
8

Use substitution to solve the following system of equations. 2x + 4y = 12 AND x=y - 3

Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

The solution is (0, 3)

Step-by-step explanation:

First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.

Next, substitute y - 3 for x in the other equation:

y - 3 + 2y = 6, or

3y = 9

Then y = 3.  Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.

The solution is (0, 3)

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The ratio table below shows the relationship between the weight of apples purchased and the total cost of the apples.
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When the weight of apples is increased by a factor of 4, total cost increases by 8.

<h3>What is the increase in total cost?</h3>

The first step is to determine the relationship between the weight of apples and their total cost.

Relationship between weight and total cost = $2 / 1 = $2

Increase in total cost = $2 x 4 = $8

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2 years ago
On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0) and the y-axis at (0, 2).
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Answer:

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3 years ago
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find a set of parametric equations of the line the line pases through the point (2,3,4) and is parallel to the xz-plane and the
joja [24]

Answer:

x=2, y=3, z=4+t

Step-by-step explanation:

For this case we need a line parallel to the plane x z and yz. And by definition of parallel we see that the intersection between the xz and yz plane is the z axis. And we can take the following unitary vector to construct the parametric equations:

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Or any factor of u but for simplicity let's take the unitary vector.

Then the parametric equations are given by:

x= P_x + u_x t

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Where the point given P=(2,3,4)= (P_x , P_y, P_z)

And then since we have everything we can replace like this:

x= P_x + u_x t 2+ 0*t = 2

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3 years ago
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Step-by-step explanation:

It is a line so anyway you name it is fine as lomg as its in it's respected order.

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Answer:

Step-by-step explanation:

9. f(g(-n))

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