Answer:
(-8, 2)
Step-by-step explanation:
1. Set up the equations.
y = 1/2x + 6
y = -3/4x - 4
2. Set the equations to equal each other.
1/2x + 6 = -3/4x - 4
3. Move the variables to one side and the numbers to the opposite side.
6 + 4 = -3/4x - 1/2x
10 = -3/4x - 2/4x
10 = -5/4x
4. Divide 10 by -5/4.
10/ -5/4 = 10 * -4/5 (when dividing fractions, flip the fraction over)
10 * -4/5 = -40/5 = -8
<em>x = -8</em>
5. Plug in the x-value into one of the equations.
y = 1/2x + 6
y = 1/2(-8) + 6
y = -4 + 6
<em>y = 2</em>
OR
y = -3/4x - 4
y = -3/4(-8) - 4
y = 6 - 4
<em>y = 2</em>
if the medicine leaves the blood stream at 10% per hour and 6 hours goes by 60% of the medicine would be gone. 60% of 50 is 30. so 30mg would have left. so there is only 20mg left.
Answer:
The answer to your question is Domain (-∞, ∞) Range [-4, ∞)
Step-by-step explanation:
The Domain is the set of all possible values of the independent variable (x).
The Range is the set of all the possible values of the dependent variable when substitute the domain in the function.
On the graph, we find the domain looking at the x-axis
On a graph, we find the range, looking at all the y-axis
In this graph, x has values from -infinite to infinite, then, the domain is (-∞, ∞).
In this graph, y has values from -4 to infinite, then, the range is [-4, ∞)
Answer:
<h3> 0.125 galon of 35% acid solution</h3>
Step-by-step explanation:
0.5 gallon of a 10% acid solution
10%•0.5 = 0.05 gallon of acid in that solution
x gallon of 35% acid solution
35%•x = 0.35x gallons of acid in that solution
0.05 + 0.35x total of gallons of acid in both solutions
(0.5+x) gallons of 15% acid solution
15%(0.5+x) = 0.15(0.5+x) gallons of acid in that solution
the amount of gallons of acid didn't change after mixing, so:
0.05 + 0.35x = 0.15(0.5 + x)
0.05 + 0.35x = 0.075 + 0.15x
0.35x - 0.15x = 0.075 - 0.05
0.2x = 0.025
×5 ×5
x = 0.125
Answer:
32
Step-by-step explanation: