A generic point on the graph of the curve has coordinates
The derivative gives us the slope of the tangent line at a given point:
Let k be a generic x-coordinate. The tangent line to the curve at this point will pass through 
and have slope 
So, we can write its equation using the point-slope formula: a line with slope m passing through 
has equation
In this case, 
and 
, so the equation becomes
We can rewrite the equation as follows:
We know that this function must give 0 when evaluated at x=0:
This equation has no real solution, so the problem looks impossible.
Answer: 25:15
Step-by-step explanation: in the ratio 5:3 the 5 is dogs and the 3 is cats you multiply the 5 (aka the dogs) by 5 to get 25 (the amount of dogs in the shelter) when you multiply 3 by 5 you get the amount of cats which is 15, a good way to remember is what you do to one side you have to do to the other. I hope this helps.
Answer:4x+30
Step-by-step explanation:
Distribute 4(5+x) to get 20+4x
So then 10+20+4x
Which is 4x+30
2.8 X 10^-8 (........characters space so that I can post this..)
Answer:
x + y ≥ 20
3x + 5y > 60
Step-by-step explanation:
Let
Bags of candy corn = x
Bags of chocolate = y
Cost of bags of candy corn = $3
Cost of bags of chocolate = $5
He needs to buy at least 20 bags of candy and he cannot spend more than $60
system of linear inequalities to model the situation.
x + y ≥ 20
3x + 5y > 60
The system ot inequalities which models the situation
x + y ≥ 20
3x + 5y > 60
