Answer:
See below:
Step-by-step explanation:
So, for starters, g(x) is just a fancy way of saying that it is a function, it's basically used as and you can usually use g(x) or y whenever you want unless its a special situation.
So we can replace g(x) with y as there aren't any other functions we need to deal with.
y = 3x + 2
y = 11
Now that its simplified, we can see its a simple problem
After combining, we get 11 = 3x + 2
After solving, we get x = 3
Let the oranges cost = x
Let the apples cost = y
According to given conditions, equation becomes:
.... (1)
.....(2)
Multiplying equation (1) by 8 and equation (2) by 12 to get y
96x+48y=43.04 .... (3)
96x+60y=44.16 .... (4)
Now subtracting both equations we get,
12y = 1.12
y = 0.093
Hence, cost of 1 apple = $0.093
As 12x+6y=5.38
12x+6(0.093)=5.38
12x=4.822
x = 0.40
Hence, cost of 1 orange = $0.40
Answer:
Part A
The rotation of the point (x, y) 180° about the origin gives the point (-x, -y)
Therefore, we have the points, ΔLMN, L(1, 1), and M(2, 2), and N(3, 3)
The coordinates of the vertices of the image, ΔL'M'N' are L'(-1, -1), and M'(-2, -2), and N'(-3, -3)
Please find attached the graph of triangle ΔLMN and ΔL'M'N'
Part B
The lines drawn through L and L' and through M and M' are colinear
Part C
A line is defined by two points, such as <em>L </em>and <em>M.</em> Rotation of a line through 180° about the origin will give an image location on the same path as the extension of the original line.
The third point, <em>N</em>, however, defines a plane, and the rotation of a plane by 180° will give an image which is turned upside down with regards to the preimage
Therefore, a trough in the preimage becomes a peak in the image and the lines drawn through N and N' crosses the colinear lines drawn throgh M and M' and L and L'
Step-by-step explanation:
