Answer: Choice A
---------------------------------
Explanation:
The rule I'm going to use is if |x| <= k, then -k <= x <= k
where k is some positive number
The notation <= means "less than or equal to"
|2x-6| <= 10
-10 <= 2x-6 <= 10 ... use the rule mentioned above
-10+6 <= 2x-6+6 <= 10+6 ... add 6 to all sides
-4 <= 2x <= 16
-4/2 <= 2x/2 <= 16/2 ... divide all sides by 2
-2 <= x <= 8
So we'll have a number line with closed circles at -2 and 8. The shaded region is between the closed circles.
This is a shorthand way of saying what choice A is saying. For some reason, your teacher decided to make the wording more clunky.
Saying "shading to the right of -2 and shading to the left of 8" is the same as "shading between -2 and 8"
So that's why choice A is the answer
Note: the closed circle indicates we include the endpoint as part of the solution set, or shaded region.
Answer:
blue marbles: 4/15
red marbles: 8/15
Step-by-step explanation:
add all the marbles together then put how many marbles in front as the numerator.
To determine how much sand she needs, we need the area of the garage
The area can be found by multiplying the width and the length
A = 36 x 20
A = 1080 feet
Now we multiply the area by the volume (2 inches of sand)
1080 * 2 = 2160
Siobhan needs 2160 feet of sand
Answer:
Step-by-step explanation:
<u>Equation</u>:
- cos x = 15/21
- cos x = 0.714
- x = arccos 0.714
- x = 44° (rounded to the nearest degree)
Answer:
21
Step-by-step explanation:
