If you shift a function to the left 4 units, the only thing you are doing to it is moving it. You are not changing its shape or its orientation. A simple example is the parabola y = x^2. The vertex is at the origin. When you shift it 4 units to the right, the new equation is y = (x+4)^2 which shows we have moved the parabola 4 units to the left. Nothing else changes about it.

6 0

2 years ago

What the additive inverse of 10

SOVA2 [1]

Step-by-step explanation:

-10 is the correct answer of your Question

5 0

2 years ago

Solve the following system using the substitution method<br><br> 2y +5x = 10<br><br> 4y + 10x = 2

ch4aika [34]

Answer:
The given system of equations has no solution

Explanation:
The first given equation is:
2y + 5x = 10
This can be rewritten as:
2y = 10 - 5x ...............> equation I
The second given equation is:
4y + 10x = 2
This can be rewritten as:
2(2y) + 10x = 2 ................> equation II

Substitute with I in II and solve as follows:
2(2y) + 10x = 2
2(10-5x) + 10x = 2
20 - 10x + 10x = 2
20 = 2
Since this is impossible, therefore, the system of equations has no solutions. This means that there is no (x,y) point that would satisfy both equations.

Graphing check:
The attached image shows the graphs of the two given functions. We can note that the two lines are parallel each with slope -5/2, which means that they NEVER intersect.
Hence, there is no solution for the given system.

Hope this helps :)

5 0

3 years ago