firstly chain rule is dy/dx = dy/du * du/dx
a) y = 5u² + u - 1 hence dy/du = 10u +1
u = 3x +1 hence du/dx = 3
so dy/dx = 3(10u +1) {sub in u and expand}
b) y= u^-2 hence dy/du = -2u^-3
u=2x+3 hence du/dx = 2
so dy/dx= 2(-2u^-3) {sub in u}
Answer:
780 sheets
Step-by-step explanation:
we know that
A machine can shred 65 sheets of paper every 5 seconds
so
using proportion
Find out how many sheets of paper can the machine shred in 60 seconds
Answer:
An exterior angle is supplementary to the adjacent interior angle.
Step-by-step explanation:
Answer:
6
x
8
Step-by-step explanation:
We'll represent the number with the expression 4x + 7
Then, we'll set up the inequality:
31
4x + 7
55
24
4x
48
6
x
8
Answer:
g(x) is f(x) shifted 2 units right and 7 units up
Step-by-step explanation:
Given

Required
Relationship between f(x) and g(x)
We have:

When f(x) is shifted 2 units to the right;
The rule is:

So, it becomes:

When
is shifted up by 7 units,
The rule is:

So, it becomes:

Hence;
g(x) is f(x) shifted 2 units right and 7 units up