Answer: Choice A
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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.
There are plenty numbers but 25 & 27
9514 1404 393
Answer:
3.8 miles
Step-by-step explanation:
Lillian wants her mileage total to be ...
12 +3x = 23.4 . . . . an equation that can be used to find x
4 + x = 7.8 . . . divide by 3
x = 3.8 . . . . . . subtract 4
Lillian would have to ride an average of 3.8 miles each day to reach her goal.
Answer:
(x+2)/(x-6)(x+2)
Step-by-step explanation:
We know that vertical asymptotes are found in the denominator, so we can start with 1/(x-6)
x-6 will equal zero at 6, so that is where the VA will be.
For the removable discontinuity (hole), it needs to cancel out in the numerator and denominator. (x+2)/(x-6)(x+2)
when x equals -2, there is an undefined y value.
