Answer:
x = 9 ± √14
Step-by-step explanation:
x² − 18x + 67 = 0
Move the constant to the other side:
x² − 18x = -67
Take half of -18, square it, and add to both sides.
(-18/2)² = (-9)² = 81
x² − 18x + 81 = -67 + 81
x² − 18x + 81 = 14
Factor the perfect square:
(x − 9)² = 14
Solve for x:
x − 9 = ±√14
x = 9 ± √14
Given:
The graph of a function is given.
To find:
The range of the graph.
Solution:
We know that, the domain is the set of input values and range is the set of output values.
In a graph, domain is represented by the x-axis and range is represented by the y-axis.
From the given graph it is clear that there is an open circle at (-8,-8) and a closed circle at (3,4). It means the function is not defined at (-8,-8) but defined for (3,4).
The graph of the function is defined over the interval
. So, the domain is (-8,3].
The values of the function lie in the interval
. So, the range is (-8,4].
Therefore, the range of the function are all real values over the interval (-8,4].
Answer:
112-7v
Step-by-step explanation:
Answer:
12 cubes
Step-by-step explanation:
If the total volume of the box is 24 cm³ and the volume of each cube is 1 cm³ then that means that 24 total cubes can fit perfectly inside the box. Since there can only be two layers of cubes then we simply need to divide the total amount of cubes that will fit in the box by 2 to find the number of cubes in each layer...
24 / 2 = 12 cubes
Finally, we can see that each layer within the box will contain 12 cubes
Answer:
Its 6 feet
Step-by-step explanation:
lots of feet 6 is, 6 feet the answer is
(rsm gang was here)