Answer: (x+(-4))^2 + (-67)
Step-by-step explanation:
To get -8, you must have (x-4)^2, and the expanded form of that is x^2-8x+16, so you need to subtract 67 to get 51.
It should be the point of tangency.
the answers is a) nucleus, cytoplasm and ribosomes
Answer:
A non-calculus solution follows afterward.
For a calculus solution, the gradient is the first derivative with the point put in.
y = -x²+3x
dy/dx or y’ = -2x +3 is the gradient at any point.
but the tangent is at x = 2 so put it in
y’ = -(2*2)+3 = -1 is the gradient of the tangent at point (2,2)
Non-calculus solution:
y = -x²+3x 1️⃣but slope of tangent m = (y-2)/(x-2)2️⃣
put 1️⃣ into 2️⃣ and rearrange ⟹ mx-2m+x²-3x+2 = 0
or x²+(m-3)x+2–2m =0
but for a tangent the discriminant b²-ac = 0
(m-3)²-4*1*(2–2m) = 0
m²+2m+1 = 0
(m+1)(m+1) = 0
m = -1 is the is the gradient of the tangent at point (2,2)
Step-by-step explanation:
To find median you must arrange all numbers from least to greatest first like this:
1 2/3, 3 1/3, 3 2/3, 4 1/3, 5, 6
Now find the middle number. In this case there are two- 3 2/3 and 4 1/3. So find the mean (or average) of these two by adding them together and dividing like this:
3 2/3 + 4 1/3 = 8
8÷2 = 4
So the median is 4.
