Answer:
j
Step-by-step explanation:
lmijh hkij
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:
Answer:
25
Step-by-step explanation:
6(x-5) = 4x+20
6x-30=4x-20
6x25=150-30=120
4x25=100+20=120
Answer:
Step-by-step explanation:
The shipping container has the shape of a rectangular prism. Therefore, we would apply the formula for determining the volume of a rectangular prism which is expressed as
Volume = length × width × height
From the information given,
Length = 3.5 feet
Width = 10.5 feet
Height = 6.5 feet
Volume of container = 3.5 × 10.5 × 6.5 = 238.875 feet³
If the container is completely filled with contents that weigh, on average, 0.73 pound per cubic foot, then the weight of the contents in the container is
0.73 × 238.875 = 174 pounds