Answer:
- x +y = 500
- 0.65x +0.95y = 0.75(500)
- solution: (x, y) = (300, 200)
Step-by-step explanation:
A system of equations for the problem can be written using the two given relationships between quantities of brass alloys.
<h3>Setup</h3>
Let x and y represent the quantities in grams of the 65% and 90% alloys used, respectively. There are two relations given in the problem statement.
x + y = 500 . . . . . . quantity of new alloy needed
0.65x +0.90y = 0.75(500) . . . . . quantity of copper in the new alloy
These are the desired system of equations.
<h3>Solution</h3>
This problem does not ask for the solution, but it is easily found using substitution for x.
x = 500 -y
0.65(500 -y) +0.90y = 0.75(500)
(0.90 -0.65)y = 500(0.75 -0.65) . . . . . . subtract 0.65(500)
y = 500(0.10/0.25) = 200
x = 500 -200 = 300
300 grams of 65% copper and 200 grams of 90% copper are needed.
Answer:
7.5
Step-by-step explanation:
when implementing the joe mama constant into our quadratic formula, we can solve to find that 7.5 does not uphold when subjected to the same peen coefficient checks that all other values held true for.
Answer: i do not see a graph
Step-by-step explanation:
I find it convenient to let a graphing calculator help me with factoring. It shows the roots to be -7, 1/5, 2. Hence the factorization will be
.. = (x +7)(5x -1)(x -2)
-5(x+8)-3x
simplified would be
-8x-40
