Answer:
a. 6
b. 144
Step-by-step explanation:
a. 25% of 24 is 6
b. 24 x 6 = 144
The large rectangle is 3 times 6 but theres two so its 2 x 3 x 6
the medium rectangle is 2 times 6 but again there is two so 2 x 2 x 6
the small rectangle is 2 times 3 and once more there is two so 2 x 2 x 3
First of all, recall the definition of absolute value:

So if <em>x</em> < 4, then <em>x</em> - 4 < 0, so |<em>x</em> - 4| = -(<em>x</em> - 4), and the first case in <em>h(x)</em> reduces to

Next, in order for <em>h(x)</em> to be continuous at <em>x</em> = 4, the limits from either side of <em>x</em> = 4 must be equal and have the same value as <em>h(x)</em> at <em>x</em> = 4. From the given definition of <em>h(x)</em>, we have

Compute the one-sided limits:
• From the left:

• From the right:

If the limits are to be equal, then
-1 = 5<em>k</em> - 16
Solve for <em>k</em> :
-1 = 5<em>k</em> - 16
15 = 5<em>k</em>
<em>k</em> = 3