9514 1404 393
Answer:
Step-by-step explanation:
You have to realize that the absolute value function will change the sign of its argument only if that argument is negative.
108. |x -7| = x -7 . . . . . true for x-7≥0
x ≥ 7 . . . . makes the statement true
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1a. When m < 9, the value 6m is less than 54, so 6m-54 < 0. That means the absolute value function changes the sign of its argument:
54 -6m . . . . . simplified form for m < 9
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1b. |y -x| = y -x . . . when y > x, the argument of the absolute value is positive
Answer:
20 and 4/8 yards of fabric.
Step-by-step explanation:
Explanation
The least common multiple of 3, 4, 6, and 8 is 24.
List the multiples out:
3: 3, 6, 9, 12, 15, 18, 21, 24
4: 4, 8, 12, 16, 20, 24
6: 6, 12, 18, 24
8: 8, 16, 24
Answer:
g(x) = (x + 3)^2
Step-by-step explanation:
When a function is shifted to the left or right we can think of a change of units, like a new independent variable is used.
If we have a quadratic function
and the graph is shifted 3 units to the left, then we can think of a new unit u that is:
The vertix of this parabola, that happens for u=0, happens for x=-3, as the graph is shifted 3 units to the left.
Then, the relation between u and x is:
We can use this relation in the new graph and replace u as:
