Answer:

Step-by-step explanation:
Given


Required
The equation of the function
The given parameters means that:


Calculate the slope (m)



The equation is then calculated using:

This gives:


Open bracket

Take LCM


Answer:
4.77 cm correct to the nearest hundredth.
Step-by-step explanation:
The new circumference = 19 - 4 = 15 cm.
Circumference C = π * diameter
So the diameter = C/π = 15/π = 4.7746 cm
<h3>
Answer: Choice D</h3>
======================================================
Explanation:
The inequality sign has an "or equal to", which means the boundary line will be solid. We can rule out choices B and C because they have dashed boundary lines.
A solid boundary line means that points on the boundary are part of the solution set.
Now let's see what happens when we plug in a point like (x,y) = (4,0). This will tell us how to shade the blue region.

This is false because -20 is not larger than -1. It's the other way around.
This tells us the point (4,0) is not in the blue shaded region, and it's not on the boundary line either. We can rule out choice A because of this.
The only thing left is choice D, which is the final answer. I recommend plugging a point from this region into the inequality to confirm we have a true statement.
Answer:
7/12
Step-by-step explanation:
Basically to find the boys fraction I subtracted 40 from 96 and got 56. Your answer for the number of boys would be 56/96. I divided 4 from each and got 14/24. lastly I divide by 2 and got 7/12.