Answer:
2xy/2 = money for 1 charity
Step-by-step explanation:
2 lemonades for each day (x) = 2x
amount of money made = 2xy = no of lemonades sold x profit of 1 lemonade
two charities = 2xy/2 = total profit divided by no of charities
2x+40=60
2x=20
x=10
Answer:10
So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: 
Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: 
Now you can rewrite this as 
, however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is 
. Applying that here, we have 
. x^4 + 5x^2 - 36 is completely factored.
Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: 
Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: 
Now you can rewrite the equation as 
. 2x^2 + 9x - 5 is completely factored.
<h3><u>Putting it all together, your factored expression is
</u></h3>
The answer is actually D. The limit on the left side is computing the derivative at x = a. The right side value of 7 tells us that f ' (a) = 7
Answer:
(-6, -3)
Step-by-step explanation:
The coordinate is at (2, -1), when using a dilation with a scale factor of 3, multiply the coordinates by 3.
(2, -1) ------> (2 x 3, -1 x 3) ----------> (6, -3)
When reflecting the point over the y-axis, take the opposite of the x coordinate.
(6, -3) ------> (-6, -3)
