Answer:
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)
Step-by-step explanation:
A. equation: y = -3x - 2
B. y-intercept: -2
<em><u>Solution:</u></em>
Given that,
<em><u>Write the equation 12x = - 4y - 8 in slope-intercept form</u></em>
The slope intercept form is given as:

Where,
m is the slope and "c" is the y intercept
From given

Thus the slope intercept form is found
Comparing with y = mx + c ,
c = -2
Thus the y intercept is -2
Answer: The value of
is
.
Step-by-step explanation:
Given: 
To find: 
As we know it is composition function which means that g(x) function is in f(x) function.
So we have
![(f_\circ g) (x) = f[g(x)]](https://tex.z-dn.net/?f=%28f_%5Ccirc%20g%29%20%28x%29%20%3D%20%20f%5Bg%28x%29%5D)

Now substitute the value of g(x) we get

Hence, the value of
is
.
We are asked to determine the area of the given figure. To do that we will divide the figure into a square and a triangle. The area of the square is the product of its dimension, therefore, the area is:

The area of the triangle is given by the following formula:

Where "b" is the base and "h" is its height. Replacing the values:

The total area is the sum of both areas:

replacing the areas:
Answer:
1 1/2
Step-by-step explanation:
3 1/2 / 2 1/3