For this case we have the following functions:
f (x) = 3x + 4
g (x) = 2 ^ x - 1
The intersection with the y axis of the original functions is:
f (0) = 3 (0) + 4 = 0 + 4 = 4
g (0) = 2 ^ 0 - 1 = 1 - 1 = 0
The transformations that must be applied so that they have the same intersection with the y axis are:
f (x) - 3
g (x) + 1
Answer:
f (x) - 3
g (x) + 1
option 1
101.25+81.25=182.5 is the answer of how much the cost.
the area of the piece of land that is not part of the garden is
.
<u>Step-by-step explanation:</u>
Here we have , a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in diameter. We need to find what is the area of the piece of land that is not part of the garden . Let's find out:
Let's calculate area of land and circular garden , and in order to find the area of the piece of land that is not part of the garden we will subtract area of circular garden from land !
Area of Land:
Area of land is given by
⇒ 
⇒ 
⇒ 
Area of Garden:
Area of circular garden given by
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Hence , the area of the piece of land that is not part of the garden is 28,880-314 = 28,486 . Therefore , the area of the piece of land that is not part of the garden is
.
<span>Distance formula in three dimensions for the distance between the points
is:<span> </span>Therefore the length of the diagonal is the distance between the points P(1,1,2) and Q(3,4,5) :</span>