Functions are basically another way of expressing a way to get y or x or anything (mostly used for graphs) You will see functions like <em>f(x)=</em> <em>23y-5 </em>(that was made up). Basically the number in the parenthesis in front of the f is what you're finding. So the equation after the equal sign is how to find whatever is being found. So in this case, finding x can be pretty easy. By the way, when graphing this you have x as the run and y as the rise. <em />
Answer:
Step-by-step explanation:
We are given the equation:
First, we can divide everything by 2:
Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:
Solve for u. Factor:
Zero Product Property:
Solving for both cases:
And by substitution:
For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:
Where n is an integer.
For the second case, sin(x) is -1 for every 3π/2. Thus:
All together, our solutions are:
A dime = 0.10
A nickel = 0.05
N + D = 28 coins
Rewrite this as N = 28 -D
0.10D + 0.05N = 1.95
Replace N withe the rewritten equation above:
0.10D + 0.05(28-D) = 1.95
Use the Distributive Property:
0.10D + 1.4 - 0.05D = 1.94
Add the like terms:
0.05D + 1.4 = 1.95
Subtract 1.4 from both sides:
0.05D = 0.55
Divide both sides by 0.05
D = 0.55 / 0.05
D = 11
Nickels = 28 - 11 = 17
There are 11 dimes and 17 nickels.
Answer:
x = 2/3 ± i√14/3
Step-by-step explanation:
Answer:
B. $8.86
Step-by-step explanation:
$1.88 * 3 plastic bracelets = $5.64
$1.23 for one hair ribbon
$5.64 + $1.23 = $6.87
$15.73 - $6.87 = $8.86
