Answer:
See explanation
Step-by-step explanation:
f(x) = -2lx-3| +1
1.lx-3|==>Translate the basic absolute value graph f(x)=|x| 3 units to the right
2. -lx-3| ==> Flip the graph over the x-axis
3. -2lx-3| ==> Double all the y-coordinates of the graph
4. -2lx-3| +1 ==> Translate the graph 1 unit up
I would start by multiplying both sides of the inequality by 4 to eliminate the fraction
y + 8 >/= 12
Then subtract 8 from both sides
y >/= 4
Because it is greater than OR equal to, when you graph, you use a solid circle. Greater than means the arrow goes to the right on the line.
So, solid circle on the line on 4, arrow pointing to the right. (Third option from the right)
Let <em>y</em> be the expression you want to differentiate:

Now,

Use the chain rule to differentiate both sides with respect to <em>x</em> :

Solve for d<em>y</em>/d<em>x</em> :



Answer:
14
Step-by-step explanation:
The diameter is the length from one point on the circle to another, passing through the center. The <em>radius </em>is the length from a point on the circle to its center, so we can always find the diameter by doubling the radius. In this case, with a radius of 7, our diameter is 7 · 2 = 14