Answer:
we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.
Therefore, the point (0, a) is on the graph of the function f(x) = abˣ
Hence, option (D) is correct.
Step-by-step explanation:
Given the function
f(x) = abˣ
Let us substitute all the points one by one
FOR (b, 0)
y = abˣ
putting x = b, y = 0
0 = abᵇ
FOR (a, b)
y = abˣ
putting x = a, y = b
b = abᵃ
FOR (0, 0)
y = abˣ
putting x = 0, y = 0
0 = ab⁰
0 = a ∵b⁰ = 1
FOR (0, a)
y = abˣ
putting x = 0, y = a
a = ab⁰
a = a ∵b⁰ = 1
TRUE
Thus, we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.
Therefore, the point (0, a) is on the graph of the function f(x) = abˣ
Hence, option (D) is correct.
Answer:
is 63.65
Step-by-step explanation:
but whit the tax i think is 64
The reason for this has to do with finding the area of a square. When you are looking for the area of a square, you use the rectangle formula (since a square is also a rectangle).
The formula is Area = Length * Width
However, since in a square, the length and width are the same, both get changed to the word "Side". As a result, we get the following formula.
Area = Side * Side
This can be simplified to:
Area = Side^2.
Since each number to the second power also shows the area of a square with that given length sides, it can also be called "squared".
Answer:
Add 1 to each side
Multiply each side by 4
Take the square root of each side
Subtract 5 from each side
Combine terms
Step-by-step explanation:
1/4(x+5)^2-1=3
Add 1 to each side
1/4(x+5)^2-1+1=3+1
1/4(x+5)^2=4
Multiply each side by 4
4*1/4(x+5)^2=4*4
(x+5)^2=16
Take the square root of each side
sqrt((x+5)^2)=±sqrt(16)
x+5 = ±4
Subtract 5 from each side
x+5-5 = -5 ±4
x = -5 ±4
Combine terms
x = -5+4 x = -5-4
x = -1 x = -9