Answer:
The answer is A. 12%
Step-by-step explanation:
Answer:
k = 4/5
Step-by-step explanation:
First, rewrite 5/6k as (5/6)k; this is "five sixths of the variable k."
Next, identify the LCD. It is 6. Then the given equation becomes
5k + 4 = 8
Consolidate the constant terms:
5k = 4
Solve for k: k = 4/5
Whenever a problem says "one number" and "another number" we can substitute x and y. for this we have x=2y+1 and xy=1. since we know the value of x (2y+1) we can substitute it for the other equation to get (2y+1)y=10. simplify to get 2y^2+y=10. from here you can do a few methods to solve this, but the simplest in my opinion is by factoring.
In order to factor it must be equal to 0, so we have 2y^2+y-10=0. We factor this and get y=5 (we also get y=-4 but it is an extraneous root). now we can plug that into either equation and find that x=2.
this means our two numbers are 5 and 2
Answer:
Part A: The y-coordinate when x=0 is 6. So, the y-intercept is 6
Part B: The equation for a line is y = mx + b, where m is the slope and b is the y-intercept. For plant A, the slope is 1 and the y-intercept is 6. So, the equation for the line is y = x + 6.
Part C:The y-coordinate when x=0 is 4. So, the y-intercept is 4.
Part D:The equation for a line is y=mx+b, where m is the slope and b is the y-intercept. For plant B, the slope is 3/2 and the y-intercept is 4. So, the equation for the line is y= 3/2x+4.
Part E:The solution for the system of equations is (4,10). This solution is the same as the answer found graphically.
Answers straight from plato/Edmentum Hope this helps:) !