Answer: D(x) = 2kg/h*x
where x is the number of hours.
Step-by-step explanation:
The information that we have is:
in 5 hours, we can prepare 10kg of dough.
With this, we can find the rate per hour, to do this we find the quotient:
R = 10kg/5h = 2kh/h
This meeans that in one hour, we can make 2kg of dough.
Then, in x hours, we can make x times 2kg of dough, then the equation will be:
D(x) = 2kg/h*x
where x is the number of hours.
John sold 10 hamburgers and 14 cheeseburgers.
Step-by-step explanation:
Given,
Cost of one hamburger = $3
Cost of one cheeseburger = $3.50
Total burgers sold = 24
Total revenue earned = $79
Let,
Number of hamburgers sold = x
Number of cheeseburgers sold = y
According to given statement;
x+y=24 Eqn 1
3x+3.50y=79 Eqn 2
Multiplying Eqn 1 by 3
![3(x+y=24)\\3x+3y=72\ \ \ Eqn\ 3](https://tex.z-dn.net/?f=3%28x%2By%3D24%29%5C%5C3x%2B3y%3D72%5C%20%5C%20%5C%20Eqn%5C%203)
Subtracting Eqn 3 from Eqn 2
![(3x+3.50y)-(3x+3y)=79-72\\3x+3.50y-3x-3y=7\\0.50y=7](https://tex.z-dn.net/?f=%283x%2B3.50y%29-%283x%2B3y%29%3D79-72%5C%5C3x%2B3.50y-3x-3y%3D7%5C%5C0.50y%3D7)
Dividing both sides by 0.50
![\frac{0.50y}{0.50}=\frac{7}{0.50}\\y=14](https://tex.z-dn.net/?f=%5Cfrac%7B0.50y%7D%7B0.50%7D%3D%5Cfrac%7B7%7D%7B0.50%7D%5C%5Cy%3D14)
Putting y=14 in Eqn 1
![x+14=24\\x=24-14\\x=10](https://tex.z-dn.net/?f=x%2B14%3D24%5C%5Cx%3D24-14%5C%5Cx%3D10)
John sold 10 hamburgers and 14 cheeseburgers.
Keywords: linear equation, elimination method
Learn more about elimination method at:
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9,12,18 is a right triangle and so is 30,72,90
Answer:
The vertex is the minimum.
Step-by-step explanation:
the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.