7 + b
= 7 + 15
= <u>22</u>
<u>hope</u><u> </u><u>it</u><u> </u><u>helps</u><u>!</u>
C) vertical translation down 6 units
and
d) reflection
the negative at the beginning shows there is a reflection, and the -6 as the k value means it’s moving down 6. hope this helps:))
They're not equivalent.
(vertical bars) represents the absolute value of x. How it works is that it turns negative numbers positive but leaves 0 and positive numbers alone (hence it gets a number's distance from 0 on the number line).
![[x]](https://tex.z-dn.net/?f=%5Bx%5D)
(square brackets) usually represents the floor function, which returns the largest integer that is less than or equal to x. (The floor of x can also be written as 
--- it depends on what your textbook/source says).
To solve 
, you first transform it into the equivalent equation 
. Then by definition of absolute value, there are only two solutions for the first equation: x = 10 or x = -10.
[x] = 10 has infinitely many solutions. For example, the floor of 10 is 10, so ![[10] = 10](https://tex.z-dn.net/?f=%5B10%5D%20%3D%2010)
, thus a solution for the second equation is x = 10
The floor of 10.1 is 10, so ![[10.1] = 10](https://tex.z-dn.net/?f=%5B10.1%5D%20%3D%2010)
, thus another solution for the second equation is x = 10.1.
The two equations do not have the same solution set (as x = 10.1 does not solve |x| - 3 = 7 but solves [x] = 10), so they're not equivalent.
Answer:
The volume is 16 29/36 or 16.81
Step-by-step explanation:
Volume of a box v = Length l × width w × height h
l = 3 1/3 = 10/3, b = 2 3/4 = 11/4, h = 1 5/6 = 11/6
v = 10/3 × 11/4 × 11/6
v = (10*11*11)/(3*4*6)
= 1210/72
V = 605/36
≈ 16 29/36 or 16.81
Answer:
a. standard deviation
Step-by-step explanation:
Dispersion is a measure of variability in a given data i.e the level or extent of spread of a data. This can easily be measured for a random variable by considering its standard deviation.
The standard deviation would show the extent to which each value is different from the mean. Thus showing the extent of the dispersion of variables.
Therefore, to measure the dispersion of a random variable, look at its standard deviation.
