Answer:
<em>Correct answer: C. f(x) = 2(3)x + 4</em>
<u><em>(please note we changed the expression of the function to exponential form which we believe is the correct form of the question)</em></u>
Step-by-step explanation:
<u>Horizontal Asymptote</u>
The graph of a function is said to have a horizontal asymptote at y=a if one or both the following limits exist


The horizontal asymptotes are horizontal lines to which the function tends when x increases or decreases without limits.
Let's analyze each one of the options provided:
A. f(x) = 2x -4


No horizontal asymptote
B. f(x) = -3x + 4


No horizontal asymptote
C. f(x) = 2\cdot 3^x + 4


This function has a horizontal asymptote at y=4
D. 3\cdot 2^x -4


This function has a horizontal asymptote at y=-4
Correct answer: C.
Answer:
A
Step-by-step explanation:
Here, we want to write the final formula for the equation after performing the given transformations
Reflection on the y-axis means the x-axis value will change sign
that will give:
y = -x^1/3
Transition of 3 units in the positive x axis
mathematically, we are adding 3 to x
so we have
y = -(x+3)^1/3
4 units in the negative y direction means we are subtracting 4 from the whole equation
That means;
y = -(x + 3)^1/3 - 4
This shows that the first option is right
Answer:
L(x,y) = (2,-8,0) + (0,-1,1)*t
Step-by-step explanation:
for the planes
x + y + z = -6 and y + z = -8
the intersection can be found subtracting the equation of the planes
x + y + z - ( y + z ) = -6 - (-8)
x= 2
therefore
x=2
z=z
y= -8 - z
using z as parameter t and the point (2,-8,0) as reference point , then
x= 2
y= -8 - t
z= 0 + t
another way of writing it is
L(x,y) = (2,-8,0) + (0,-1,1)*t
Answer:
B(if the option is 10^7 instead of 107
Step-by-step explanation:
no. of people in New York=19000000
no. of people in Vermont =626,000
difference in populations = 19000000-626,000 =18374000
therefore, the difference in populations is 18374000
(which can also be written as 1.8374x10^7)
Step-by-step explanation:
plase see it my step work solution