Answer:
y = -2(x -2)^2 + 11
Step-by-step explanation:
It works well to factor the leading coefficient from the first two terms.
... y = -2(x^2 -4x) +3
Now we want to add the square of half the x-coefficient inside parentheses, and subtract the equivalent quantity outside parentheses.
... y = -2(x^2 -4x +4) +3 - (-2·4)
... y = -2(x -2)^2 +11 . . . . . . . . simplify
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The form given in the problem statement is called "vertex form," where the vertex of the parabola is (h, k). A graph shows us the vertex is (2, 11), so we can write the function immediately as ...
... y = -2(x -2)^2 +11
Hello from MrBillDoesMath!
Answer:
The average is increased by 5
Discussion:
Let x be one number and y the other number.
Average of x,y = (1/2) ( x + y)
if, say, x is increased by 10 then the average of the numbers is
( ( x+ 10) + y) /2
= (x+y)/2 + 10/2 => (x+y)/2 is the average of the original numbers
= (x+y)/2 + 5
So the average is increased by 5
Thank you,
MrB
Answer:
168 in³
Step-by-step explanation:
Given that :
Container in the shape of a Right rectangular prism has the following dimension :
Length, L = 14 inches
Width, W = 6 inches
Height , H = 4 inches
The volume, V of a rectangular prism is given by : length * width * height
V = width * height * length
V = 14 * 6 * 4 = 336 inch³
Since container is half filled with sand :
Volume of sand in container = total volume / 2 = 336 / 2 = 168 inch³
Answer:
there is only one so
City M was warmer than City L because -9° -8°.
Answer: The Answer is 72 or 7.2x10^1
This is due to 10^2 equaling 100. 100x0.72 is 72 bec you are moving the decimal point 2 to the right.