10x^2 - 25 = x^2
Take the square root of each side.

x = 10x - 5i
The answer is vertex is (5/2, 27/2).
Find x= -b/2a where a=-2, b=10 then plug x value back into function to solve for y value of vertex (x,y).
Answer:
18lbs of Mexican Shade Grown coffee
Step-by-step explanation:
Since this is a ratio problem and we are given three values and one variable x (pounds of Mexican Shade Grown coffee needed) we can use the Rule of Three to solve this problem. In this rule we simply multiply the diagonal available values and divide by the third value to get the value of the variable, like so...
90lbs Gazebo <=====> 27lbs Mexican Blend
60lbs Gazebo <=====> x lbs Mexican Blend
(60 * 27) / 90 = x
1620 / 90 = x
18 lbs = x
We need 18lbs of Mexican Shade Grown coffee blend to mix with the 60lbs of Gazebo blend
Answer:
Part A) 25
Part B) 225
Step-by-step explanation:
Part A
The slope of the graph gives us the mile per gallon of the car.
Recall that the slope of the graph is rise over run.

Therefore car gets 25 miles per gallon
Part B) Since we know the slope of the direct variation line, we substitute into y=kx to get:

To find the number of miles the car travels using 9 gallons, we substitute x=9 to get:

This gives us 225 miles