Discount = 20% of the product price
Discount = 20/100 × $62.50
Discount = $12.5
Answer:
Answer: A. x + (4x - 85) = 90
In this case, the two angles are complementary. This means they add up to 90°. Therefore, the equation is x + (4x - 85) = 90.
Step-by-step explanation:
Answer:
a)
.
b) 
Step-by-step explanation:
Given a function
, this function has the following gradient:
.
(a) find the gradient of f
We have that
. So


.
.

(b) find the directional derivative of f at (2, 4, 0) in the direction of v = i + 3j − k.
The directional derivate is the scalar product between the gradient at (2,4,0) and the unit vector of v.
We have that:

.

The vector is 
To use v as an unitary vector, we divide each component of v by the norm of v.

So

Now, we can calculate the scalar product that is the directional derivative.

First we calculate the slope (which is called "m".
Slope = m = (Y2 -Y1) ÷ (X2 -X1)
m = (-8 -1) / (5 -2) = -9 / 3 = -3
We next fill in this equation: b = y -mx
We know m = -3 and we can choose a point (2, 1) to calculate "b"
b = 1 --3 * 2 b = 7
Putting this into y = mx +b
y = -3x +7
The answer is
8x^4-10x^3-3x^2