Answer:
A linear function can be written in the slope intercept form or a point slope form of a line. Where a table is given for values representing the function, the ordered pairs will represent points on the line.The gradient of the line is a ratio of rise to run from the table values.In slope intercept form, the gradient and initial value of the function are indicated.
For example in a function f(x)=mx+b , m is the gradient of the line and b is the y-intercept value of the function.
To find the slope, m, you divide the difference between y-values by the difference in corresponding x-values of any two points on the line.
A decreasing linear function has a negative slope; if m<0 then f(x)=mx+c is decreasing
An increasing linear function has a positive slope where m>0.
Step-by-step explanation:
If you are trying to make B the subject, you have to divide both sides by 'h' because we need to get rid if 'h' to get 'b' on it's own, and you do the opposite of times - which is to divide. Once you divide both sides by h, you should end up with this:
A/h=b
A nickel has a diameter of 21.21 mm and a thickness of 1.95 mm
<span>2.121 cm diameter </span>
<span>0.195 cm thickness </span>
<span>Think of a nickel as a cylinder </span>
<span>r = 2.121/2 = 1.0605 cm </span>
<span>V = pi * r^2 * h </span>
<span>V = pi * 1.0605^2 * 0.195 cubic cm </span>
<span>2 liters = 2000 cubic cm </span>
<span>2000 / (1.0605^2 * 0.195 * pi) => </span>
<span>2902.84713216 </span>
<span>Your upper limit is 2902, but it could be as little as 0 (for instance if the 2L bottle was only 1 cm wide, then you wouldn't be able to fit a single nickel in there) </span>
<span>I'd say that you could expect about a 70% packing efficiency, just off the top of my head </span>
<span>2900 * 0.7 => </span>
<span>290 * 7 => </span>
<span>300 * 7 - 10 * 7 => </span>
<span>2100 - 70 => </span>
<span>2030 </span>
<span>I'd expect around 2000 nickels would fill up the bottle quite nicely, supposing you can get the nickels into it.</span>
Answer:
The equation to the graph is y = − (x − 3)2 + 2.
Hope this helps!
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