Differentiating both sides of
with respect to <em>x</em> yields (using the chain rule)
Solve for d<em>y</em>/d<em>x</em> :
The answer is then D.
It would be: - 2 - (-10) = 5x - 12
= -2 + 10 = 5x - 12
= 8 + 12 = 5x
= x = 20 / 5
= x = 4
Answer:
A function is a relation that is either
- one-to-one, meaning each output only has one input
- many-to-one meaning some outputs can have more that one input, but all inputs only have one output
So, That pic is cramped, don't even know what functions are being referenced but
from the a, b, c, d relation
- It is not a function because some inputs have more that one output, which fails our man-to-one rule
From the equations
- -3x = 15 is not a function, because it only has one input but more than one output breaking rule 1
- 2y=10 is a function because every input x has only one output y, it is many-to-one
- 3x-0.25y=3 is a function, it is one to one
From the graph
- the line is a function, since it is many-to-one
From the points
- the x coordinate is the input, not points (2,6) and (2,3) have the same input for two outputs, breaking rule 2, that each input should have only one output. So the points are not a function
The solution for this problem is just simple. It tells you to find the area in square feet. Thus, convert the units to feet first. The conversion you need to know are: 12 in = 1 ft and 3 ft = 1 yard.
Width = 42 in * 1 ft/12 in = 3.5 ft
Length = 10 yards * 3 ft/1 yard = 30 ft
Area = Length*Width = 30*3.5
<em>Area = 105 ft²</em>
The answer she has is not correct.
All the steps she did are correct, except they forgot to convert the decimal answer into the proper percentage by multiplying it by 100.
The correct answer should be 0.125 * 100 = 12.5%
