Answer: 204 dollars in total
Step-by-step explanation: There are 72 people, and each serving serves six people. 72 divided by 6 =12.
12x17 equals $204
Hope this helped!
This graph has a horizontal asymptote so it is an exponential graph. It also passes through two points (0,-2) and (1,3). The horizontal asymptote is at y=-3.
The unchanged exponential equation is y=a(b)^x +k
For exponential equations, k is always equal to the horizontal asymptote, so k=-3.
You can check this with the ordered pair (0,-2). After that plug in the other ordered pair, (1,3).
This gives you 3=a(b)^1 or 3=ab. If you know the base the answer is simple as you just solve for a.
If you don't know the base at this point you have to sort of guess. For example, let's say both a and b are whole numbers. In that case b would have to be 3, as it can't be 1 since then the answer never changes, and a is 1. Then choose an x-value and not exact corresponding y-value. In this case x=-1 and y= a bit less than -2.75. Plug in the values to your "final" equation of y=(3)^x -3.
So -2.75=(3^-1)-3.
3^-1 is 1/3, 1/3-3 is -8/3 or -2.6667 which is pretty close to -2.75. So we can say the final equation is y=3^x -3.
Hope this helps! It's a lot easier to solve problems like these given either more points which you can use system of equations with, or with a given base or slope.
Answer: Please look at the steps to see the answers.
Step-by-step explanation:
The line y= 2 has a slope of 0 meaning that for any input of x the results will always be 2.
This means the the graph will be a horizontal line through the point, (0,2)
You can also use this table to graph it;
x y
0 2
1 2
2 2
3 2
4 2
5 2
6 2
-1 2
-2 2.
Answer:
2855.0
Step-by-step explanation:
there are several surface areas.
1. outside surface of the cylinder = circle circumference times height = 2*pi*r*height = 2*pi*14*14 = 1231.5
2. top and bottom of the cylinder = circle area times 2 = pi*r^2 * 2 = pi*14^2 *2 = also 1231.5
3. subtract the 2 cut out rectangles on the top and the bottom = 2* 6*14 = 168
4. add the areas of the inside walls of the cut out block.
there are 2 narrow rectangles = 2* 6*14 = 168
there are 2 squares = 2* 14*14 = 392
so, 1.+2.-3.+4. = 2855.0 (2855.00864...)