2n-10<28
+10 +10 adding 10 to both sides to get the variable alone
2n<38
_____ divide both sides by 2 to get n by itself on one side
2
n<19
Check:
(2(18))-10<28
36-10<28
26<28 .......................IT WORKS!!!
9514 1404 393
Answer:
Step-by-step explanation:
The absolute value function negates its contents when those contents are negative. Here, the quadratic factors as ...
x^2 -11x +28 = (x -4)(x -7)
so will be negative when the factors have different signs. That will be the case for 4 < x < 7.
The piecewise function can be written in 3 parts, one part for x ≤ 4, another part for 4 < x < 7, and the remaining part for 7 ≤ x. The function expressions for x ≤ 4 and 7 ≤ x are identical.
In the answer above, we chose to write it with the part where the quadratic is negated being defined on the appropriate interval, and using "otherwise" for the rest of the function. It is a little unconventional to do it this way, but it is more compact and completely defines the function.
9514 1404 393
Answer:
5/6
Step-by-step explanation:
3/4 is less than 5/6 by ...
5/6 -3/4 = 10/12 -9/12 = 1/12
The number that is greater than 3/4 by 1/2 is ...
3/4 +1/12 = 9/12 +1/12 = 10/12 = 5/6
5/6 is greater than 3/4 by the same amount that 3/4 is less than 5/6.
_____
<em>Additional comment</em>
This is a trick question -- checking to see if you're awake.
If A < B by some amount, then B > A by that same amount.
If B -A = q, then A +q = B.
Answer:
He didn't calculate the b-value correctly.
Step-by-step explanation:
The given parent function is:
The transformation is of the form:
The period is given by
If we want the new function to have a period of
Then we solve the following equation for b.
will translate the graph horizontally to the right by
units.
+d shifts the graph up by d units.
The new function then becomes:
Answer: 9183848
Step-by-step explanation: blah bland fbene