By graphing the given options as shown in attached figure
<span>f(x) = (1/4)^x+2 ⇒⇒⇒⇒ The black graph
f(x) = (1/4)^x +2 </span><span>⇒⇒⇒⇒ The red graph
</span>
f(x) = (1/4)^x-2 <span><span>⇒⇒⇒⇒ The blue graph
</span></span><span><span />
f(x) = (1/4)^x -2 ⇒⇒⇒⇒ The green graph
</span>
The correct answer will be the blue graph
Answer:
+1
-1
Step-by-step explanation:
Given equation :
= 0
x= ±1
x= 1 and x= -1
±1 lies in solution set of real numbers !
Y = 2x - 4....so sub in 2x - 4 for x in the other equation
y = x^2 - 6x + 12
2x - 4 = x^2 - 6x + 12
x^2 - 6x - 2x + 12 + 4 = 0
x^2 - 8x + 16 = 0
(x - 4)(x - 4) = 0
x - 4 = 0
x = 4
x - 4 = 0
x = 4
solution is (4,4)
Think of the SS numbers as being a collection of digits. If any of the digits (say the first one for example) are 8 then all the remaining digits can be anything but 8, meaning there are 9 choices for each remaining digit. This effectively becomes an 8 digit number with the constraint that there can only be 9 choices for a digit. This means for the first digit being 8 we have 9⁸ remaining possible numbers. Since we will do this for each of the remaining digits (they each get to be 8 then we count their 9⁸ configurations) we end up with 9(9⁸) or 9⁹≈3.8742E8
Answer:
A
Step-by-step explanation:
Look at both rectangles and list each of the corners coordinates:
The rectangle on the left has coordinates:
R: (-4,-1)
S: (-1,-1)
T: (-1,-3)
U: (-4,-3)
Now because the rectangle transformed to a different location we should take the coordinates of each of its vertices to find what type of transformation this is:
R' : (4,-1)
S' : (1,-1)
T' : (1,-3)
U' : (4,-3)
We can notice that the difference between both sets of points is that the x-value changes sign and the y-values stay the same, therefore the answer is A
