Answer:
slopee = 5/3
Step-by-step explanation:
The slope of a line is defined by the rise (the change in y-value) divided by the run (the change in x-value). Here, the change in y-value is 6 - (-14) = 6 + 14 = 20. The change in x-value is 20 - 8 = 12. Therefore, the slope is 20/12 or (simplified) 5/3.
Answer:
the answer is $60
Step-by-step explanation:
5x12=60
Answer: 8n
Step-by-step explanation: 5n + 3n
Step-by-step explanation:
Since f(0) = f(5) = f(8) = 0, we have f(x) = Ax(x - 5)(x - 8), where A is a real constant.
We know that f(10) = 17.
=> A(10)(10 - 5)(10 - 8) = 17
=> A(10)(5)(2) = 17
=> 100A = 17, A = 0.17.
Hence the answer is f(x) = 0.17x(x - 5)(x - 8).
15% of 20 gal = 0.15 * 20 gal = 3 gal, so the solution contains 3 gal of salt.
If we add <em>x</em> gal of water to the solution, we end up with (20 + <em>x</em>) gal of solution. We want the new mixture to have a concentration of 10%, or
10% of (20 + <em>x</em>) gal = 0.1 * (20 + <em>x</em>) gal = 2 + 0.1<em>x</em> gal
of salt.
The amount of salt in the tank hasn't changed. Solve for <em>x </em>:
2 + 0.1<em>x</em> = 3
0.1<em>x</em> = 1
<em>x</em> = 10 gal