Can you think of any other examples of functions?
<em>Yes! Like putting a check in the bank, that is the input- and then the money you take is the output. You can even use food to compare input and output! Ingredients are the input, and the final dish/dessert is the output. If you wanted something more mathematical, you can use a graph to find the input and output. If you know a few points, you can create a whole line of x and y points, where x= input and y=output. You can also consider getting gas for your car, the money is the input, and the gas (in return) is the output. <== these are just a few examples.
</em>
Why might this type of equation be useful?
When you are trying to find the points for a line or looking for the unit price for something, functions can be very useful! You can find what y would be when x equals 1, 2, 3, 4, etc. I know I use this all the time! For example, trying to find the best price for something in the grocery store. There are a lot of options, and if you find the unit price with functions, it makes it easier to get the best deal.
I hope this helps!
~kaikers
Answer:
x = (-29)/5
Step-by-step explanation:
Solve for x:
(2 (x - 5))/3 = (3 (x + 1))/2
Multiply both sides by 6:
(6×2 (x - 5))/3 = (6×3 (x + 1))/2
6/3 = (3×2)/3 = 2:
2×2 (x - 5) = (6×3 (x + 1))/2
6/2 = (2×3)/2 = 3:
2×2 (x - 5) = 3×3 (x + 1)
2×2 = 4:
4 (x - 5) = 3×3 (x + 1)
3×3 = 9:
4 (x - 5) = 9 (x + 1)
Expand out terms of the left hand side:
4 x - 20 = 9 (x + 1)
Expand out terms of the right hand side:
4 x - 20 = 9 x + 9
Subtract 9 x from both sides:
(4 x - 9 x) - 20 = (9 x - 9 x) + 9
4 x - 9 x = -5 x:
-5 x - 20 = (9 x - 9 x) + 9
9 x - 9 x = 0:
-5 x - 20 = 9
Add 20 to both sides:
(20 - 20) - 5 x = 20 + 9
20 - 20 = 0:
-5 x = 9 + 20
9 + 20 = 29:
-5 x = 29
Divide both sides of -5 x = 29 by -5:
(-5 x)/(-5) = 29/(-5)
(-5)/(-5) = 1:
x = 29/(-5)
Multiply numerator and denominator of 29/(-5) by -1:
Answer: x = (-29)/5
Answer:
0.6845% per week.
Step-by-step explanation:
Simple Interest Calculation A = P(1 + rt)
Solving our equation:
r = (1/730.5)((15000/2500) - 1) = 0.00684463
r = 0.00684463
Converting r decimal to R a percentage
R = 0.00684463 * 100 = 0.6845%/week
Calculating the annual rate
0.6845%/week × 52 weeks/year = 35.594%/year.
The interest rate required to get a total amount, principal plus interest, of $15,000.00 from simple interest on a principal of $2,500.00 over 14.05 years (730.5 weeks) is 0.6845% per week.
Answer:
The height of the cone is 
Step-by-step explanation:
we know that
The volume of a cone is equal to

In this problem we have
----> the radius is half the diameter

assume 
substitute the values and solve for h


I won't answer them all for you (don't want to cheat - need to learn something).
But for the first one given:
<span>-2x-9y=-25
-4x-9y=-23
you set up either x or y (which ever one you want to eliminate) so that one of them cancels.
So this one is easy - you just have to multiply an entire row by negative (doesn't matter which one) - so that the y's will be + and -
Since they're both 9 and they're subracting NOW - you can eliminate the y value. Now add/subtract the x's. So it'd be -2 or 2 depending on how you eliminated y. Then add the number outside of the = sign. Now just solve for x. After that plug in whatever you got for x into both of the rows. Then find the y value.
Hopefully this wasn't confusing -- reply if it is and I will try to simplify. I can give you contact if you need help with the rest
Good luck!</span>