7+7+7=21 is the same as saying 7 times 3+
=21
Simplify the following:
3 + 2 (2 p + 4 t) + 6 + 5 p
Grouping like terms, 3 + 2 (2 p + 4 t) + 6 + 5 p = 2 (2 p + 4 t) + 5 p + (3 + 6):
2 (2 p + 4 t) + 5 p + (3 + 6)
3 + 6 = 9:
2 (2 p + 4 t) + 5 p + 9
2 (2 p + 4 t) = 4 p + 8 t:
4 p + 8 t + 5 p + 9
Grouping like terms, 4 p + 8 t + 5 p + 9 = 8 t + (4 p + 5 p) + 9:
8 t + (4 p + 5 p) + 9
4 p + 5 p = 9 p:
Answer: 8 t + 9 p + 9
Answer:
Step-by-step explanation:
Given the functions z= (x+4y)e^y, x=u, and y =ln(v)
To get ∂z/∂u and ∂z/∂v, we will use the the composite rule formula:
∂z/∂u = ∂z/∂x•dx/du + ∂z/∂y•dy/du
∂z/∂x means we are to differentiate z with respect to x taking y as constant and this is gotten using product.
∂z/∂x = (x+4y)(0)+(1+4y)e^y
∂z/∂x = (1+4y)e^y
dx/du = 1
∂z/∂y = (x+4y)e^y+(x+4)e^y
dy/du = 0
∂z/∂u = (1+4y)e^y • 1 + 0
∂z/∂u = (1+4y)e^y
For ∂z/∂v:
∂z/∂v = ∂z/∂y• dy/dv
∂z/∂y = (x+4y)e^y+(x+4)e^y •(1/v)
∂z/∂y = {xe^y+4ye^y+xe^y+4e^y}•(1/v)
∂z/∂y = 2xe^y/v+4e^y(y+1)/v
Answer: 375
Step-by-step explanation:
You need to multiply the cost of each notebook by how many notebooks the store wants to buy.
Answer:
Below in bold.
Step-by-step explanation:
y = 2x²-4
First find x in terms of y:
2x² = y - 4
x² = (y - 4)/2
x = √ [(y - 4)/2]
Now replace x by the inverse f-1(x) and y by x:
f-1(x) = √ [(x - 4)/2] (Note: it's the positive square root only)