Answer:
Tangent at (1,2) has value
. And (-2, 4) is the point of intersection of horizontal tangent.
Step-by-step explanation:
Given curve equation,

To find tangent at (x,y)=(1,2) and point of intersection of horizontal tangent, differentiate (1) withrespect to x we get,


At (1, 2), tangent line is,
To find point of intersection of horizontal tangent we have to do,

Thus,
At x=0, y=0
but snce,

at (0,0) there exist a vertical tangent. And,
At x=-2, y=4.
Thus (-2, 4) is the point of intersection of horizontal tangent.
Answer:
The correct answer is option A.
Step-by-step explanation:
Let's start by analyzing the information we have.
We know that Carmen pays 5% tax on everything she buys, and has made a purchase of $ 70.
But they also tell us that there is $ 25 of that purchase that will not be charged with taxes.
Therefore, what will be charged with taxes will be:
70-25 = 45
Now we must know how much is 5% of 45 and that we can find out by multiplying 45 by 0,05:
45.0,05 = 2,25
Now that we know that the tax was 2.25, we just have to add it to the total purchase to find out how much Carmen paid:
2.25 + 70 = 72.25
Therefore, the total value of the purchase is 72.25.
We are given
piggy bank has nickels , dimes and quarters
Let's assume
number of nickels =n
every two nickels there are 3 dimes
so, number of dimes are


every two dimes that are 5 quarters there
so, number of quarters are


so, total number of coins = number of nickels + number of dimes +number of quarters
total number of coins =n+1.5n+3.75
there are 500 coins
so, we get

now, we can solve for n

divide both sides by 6.25
so, we get

number of dimes is 1.5n


number of quarters is 3.75n


so,
Number of nickels =80
Number of dimes =120
Number of quarters =300............Answer
Answer: y=9 (point B on the graph)
Step-by-step explanation:
y=3x
x=3
y=3(3) (3×3)
3x3=9
So 9(y)=3(3x)
Point B which is located at the 9 mark