Answer:
absolute value its written as:
| expression | > x
*> written can also be < , ≥ , or ≤
| | (two vertical lines on both sides of something) indicate absolute value
(absolute value considers the space between a number and 0;
| x | = 3
then x could be = 3 or = -3
you can also think of anything inside | | to be written as positive;
| 3 | = 3
| -3 | = 3)
you could also right, from this example: | x | > 3
our value of x could either be greater than 3, or, our x-value is negative (and only the absolute value is greater than 3, meaning that negative -x, is greater than three)
we separate these possibilities into two expressions:
x > 3 - x > 3
· -1 · -1 {inequalities flip direction when multiply by negative}
x < -3
so, x > 3 and x < -3 can be combined:
x > 3 <em>or </em> x < 3
(graph of example attached)
hope this helps!!
Minimum=25
first quartile= 30
Third quartile=45
Maximum=55
The budget of Van for groceries for 1 week is:
12 $ (per a weekday) * 5 (weekdays) + 15 $(per a weekend day) *2 (weekend days) = 60$ +30$ = 90$
The budget of Van for w weeks is:
90 $ (per week) * w (weeks) = 90w dollars.
Answer: 90w $
The easy way is to count outcomes. Of the 36 equally probable outcomes, 10 are less than or equal to 5, so the probability is 10/36 = 5/18.
Answer:
T(x, y) = (x - 5, y - 6)
Step-by-step explanation:
The transformation T is a translation that creates an image P' of original point P by adding 5 to the x-coordinate and 6 to the y-coordinate of the original point P.
Now you want to transform point P' into point P, so you are undoing the first transformation. You need to do the opposite of what the transformation above does. You need to subtract 5 from the x-coordinate and subtract 6 from the y-coordinate.
Answer: T(x, y) = (x - 5, y - 6)
