Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons
Answer:
-6/4
Step-by-step explanation:
Answer:
x = -8, -2, and 1
Step-by-step explanation:
The zeros of a function are another name for its x-intercepts. To find them, graph the function and examine its behavior near the x-axis. In the attached picture you can see that this function has the zeros, x = -8, -2, and 1.
Axis of symmerty from form
ax²+bx+c is -b/2a
the axis of symetry is the x value of the vertex so just put the axis of symetry for x an evaluate
4x²-8x-3
-b/2a=-(-8)/(2*4)=8/8=1
input for x
4(1)²-8(1)-3=4-8-3=-7
(1,-7) is vertex
A is answer
