Answer:
1. More magnets are longer than 2 1/2
2. 10 magnets measure in whole numbers and 5 magnets between 2 whole numbers
3. Because the shortest magnet is 1 inch and the longest magnet is 4 inches.
Step-by-step explanation:
1. There are 7 magnets that are longer than 7 1/2 and only 6 magnets that are shorter than 2 1/2. (The 2 magnets that are exactly 2 1/2 are neither longer nor shorter therefore they do not apply to the question.)
Answer:
y = (6/5) - (7/5) x
Step-by-step explanation:
goal: to rearrange the equation such that it takes the form:
y = f(x) ; where f(x) is an expression in terms of x
Given:
7x+5y=6 subtract 7x from both sides
5y = 6 - 7x (divide both sides by 5)
y = (6-7x) / 5
y = (6/5) - (7/5) x
Answer:
1.49
Step-by-step explanation:
In order to find the slope of the tangent line to a given equation, and in a given point, we need to:
1. Find the first derivative of the given function.
2. Evaluate the first derivative function in the given point.
1. Let's find the first derivative of the given function:
The original function is 
But remeber that the derivative of
is 
so, 
2. Let's evaluate the first derivative function in the given point
The given point is (0.4,1.49) so:



Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.
Answer:
231
Step-by-step explanation:
=
42÷2= 21
9×21= 189
189 students total
42 6th graders