Answer:
y = 27/6
Step-by-step explanation:
3/2x - 6 = -9/2x + 21
12/2x = 27
6x = 27
Triangles ABD and BCD are similar, because they are both right and share a common angle, and thus all three angles are equal.
This means that we can set the proportion
Plug the numbers and we have
Solve for 
:
The solution to the system of equations is where the two functions intersect (cross each other). the point the do that is closest to (1,2)
We can use these variables:
A = number of ounces for solution A
B = Number of ounces for solution B
A + B = 20
Now, we can use decimal conversions.
0.65A + 0.80B = 0.70(120)
Next step: We substitute A into 120 - B to show their relationship.
0.65(120 - B) + 0.80B = 84
Now onto the next equation:
78 - 0.65B + 0.80B = 84
0.80 - 0.65 = 0.15, so…
0.15B = 84 - 78
0.15B = 6
B = 6 divided by 0.15
B = 40 ounces
To find A, we can simply plug B into the starting equation.
A = 120 - 40
A = 60 ounces
Your final answer: The scientist should use 60 ounces of solution A and she should use 40 ounces of solution B. Yeah
Answer:
5/2
Step-by-step explanation:
f*g = (x+2)(x+1/2) = x^2+5x/2+1
the x term is 5x/2, and the coefficent is 5/2
