Answer:
Graph ⇒ see the attached figure
Create a table ⇒ see the attached figure
Expression/Equation ⇒ y = 8x
What is the slope? ⇒ 8
What is the y-intercept? ⇒ zero
Step-by-step explanation:
Given: Meat costs $8.00 per pound at a store.
Let the number of pounds = x, and the total cost = y
So, the equation which represents the given situation is ⇒ y = mx
Where m is the slope.
If x = 1 pound , the meat costs = y = $8
So, y = 8x
The table can created by let values for x and find the values of y.
The attached table represents the table and the graph of y = 8x
The slope = 8
y-intercept is the value of y when x = 0
so, the y-intercept = 0
I am not sure how you would approach this using the chain rule, but I can use the quotient rule.
The derivative of cos(u)=-sin(u)
The derivative of sin(u)=cos(u)
The quotient rule states:
[f'(x)g(x)-f(x)g'(x)] / [g(x)]^2
f'(x)= -sin(x)
g(x)= [1+sin(x)]
f(x)= cos(x)
g'(x)= cos(x)
Plug in:
[-sin(x)*[1+sin(x)] - [cos(x)*cos(x)] / (1+sin(x))^2
Simplify by distributing
-sin(x) - sin^2(x) - [cos(x)*cos(x)] / (1+sin(x))^2
Multiply the cos(x)*cos(x)
-sin(x) - sin^2(x) - cos^2(x) / (1+sin(x))^2
That is the answer or the answer could be simplified further by pulling out the negative.
- [sin(x)+sin^2(x)+cos^2(x)] / (1+sin(x))^2
Answer:
40 cents.
Step-by-step explanation:
If he has enough money to buy 6 markers ate $3 for 6 then he must have 30/6 * 3
= $15.
So 30 pencils cost 15 - 3 = $12.
Each pencil costs 12/30
= $0.4
= 40 cents.