Answer:
x = 5
Step-by-step explanation:
Here we want to simplify and solve for x:
8x - 5(x - 1) = 20
8x - (5x - 5) = 20 (distribute the 5)
8x - 5x + 5 = 20 (subtract each of the terms / distribute the understood -1)
3x = 15 (combine like terms)
x = 5
check your answer by plugging x = 5 back into the equation:
8(5) - 5(5 - 1) = 20
40 - (5*4) = 20
40 - 20 = 20
20 = 20
Answer:
2
Step-by-step explanation:
The graph clearly shows that when x = -1, y = 2.
Thus, the output of this function is 2.
Answer:
includes: 1) a vertical shift downwards of "2" units, and 2) a horizontal shift to the left of 3 units.
Step-by-step explanation:
Let's recall the rules for transforming functions via horizontal and vertical shifts of their graphs, and pay particular attention at the operations involved in the transformation of the function leading to: .
We notice that the transformation added 3 units to the variable "x", and we also notice that there is a subtraction of 2 units to the full absolute value function. We therefore look for such changes in the list of vertical and horizontal shifts:
1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.
2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.
3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.
4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.
So we can conclude that the resulting function includes: 1) a vertical shift downwards of "2" units, and 2) a horizontal shift to the left of 3 units.
The measure of complementary angles is always 90 degrees, or a right angle.
<span>1/3x + 1/2y < or equal to 12
2x + y < or equal to 12
1/3x + 1/2y < or equal to 4.
Hope this helps!</span>