ANSWER
<span>A. x + 30 = 10 and x + 30 = –10
EXPLANATION
</span><span>If x represents the depth of Laurie at a given moment, then the distance between his current depth and -30 feet is given by
| x - (-30) |
which can be simplifed into
| x + 30 |
We use absolute value because distance cannot be negative.
Laurie must stay within 10 feet. Therefore, the distance x is from -30 feet has to be equal to 10 to find the maximum and minimum depths that Laurie can stay between:
| x + 30 | = 10
When we solve this absolute value equation, we work with two cases.
Case 1: When x + 30 is positive, then |x+30| = x+30 (no change) and we have the equation
x + 30 = 10
</span>Case 2: When x + 30 is negative, then |x+30| = -(x+30) so as to force the distance into a positive number. Then this gives us the equation
<span> -(x+30) = 10
which we can multiply both sides by -1 to get
x + 30 = -10</span>
Answer:
104ft
Step-by-step explanation:
Answer:
16cups
Step-by-step explanation:
Answer:
-72
Step-by-step explanation: 9x-1= -9 and 8x+8= 8 and then parenthesis around both equations, which mean multiply, so -9 x 8= -72 .