Your post (" <span>f(x) = 2/3(6)x ") would be clearer and less ambiguous if you'd please format it as follows:
</span><span>f(x) = (2/3)(6)^x. The (2/3) shows that 2/3 is the coefficient of the exponential function 6^x. Please use " ^ " to indicate exponentiation.
Start by graphing </span><span>f(x) = (2/3)(6)^x. The y-intercept, obtained by setting x=0, is (0, 2/3). Can you show that the value of f(x) is (2/3)*6, or 4, at x=1, (2/3)*6^2, or 24, at x = 2, and so on? What happens if x becomes increasingly smaller? The graph approaches, but does not touch, the x-axis.
If you complete this graphing assignment, then all you'd have to do is to flip the whole graph over vertically, reflecting it in the x-axis. You'll see that the graph never touchs the x-axis. Therefore, the range of this flipped graph is (-infinity, 0).</span>
General form of the line equation is: y= mx + c
where m is the slope and c is the constant
the slope here is given and equal to 3
so, m= 3
y= 3x +c
to get the constant c, substitute with the point in this equation
y= -2 & x = 1
-2 = 3*1 + c
c = -5
then the equation of the line is y = 3x -5
y = 3x -3 -2
y +2 = 3(x-1)
the answer is (B)
Answer:
- Annie- 17 hours, Brian- 3 hours
Step-by-step explanation:
Let the number of hours Annie travelled be a, and same of Brian be b
<u>Then we have</u>
<u>Substituting a in the first equation</u>
- 5b + 2 + b = 20
- 6b = 20 - 2
- 6b = 18
- b = 3
<u>Then finding a</u>
<u>So the answer is:</u>
- Annie- 17 hours, Brian- 3 hours
Answer:
C) 8 and 9
Step-by-step explanation:
We know that 70 is between two perfect squares.
The square numbers 64 and 81 can help us solve this question.
64<70<81
We take square root to get:
We simplify this to get:
Therefore √70 is between 8 and 9.
The correct option is C.
Answer:
C
Step-by-step explanation:
I think I will answer the question the your attachment because it has full information.
The function is: y = 3*
a. The function decreases
Wrong, because the base number is 2 and it is greater than 0. The function will go up
b. y=intercept of (0.2)
Wrong, Let substitute x =2 into the function: y = 3*
= 12
c. if x increase by 1, the value of y will double
Because the base number is 2. For example:
- If x = 2, y = 3* = 12
- If x =3, y =3*
=(3**)2 = 24
d. contains the point (2,4)
Wrong, Let substitute x =4 into the function: y = 3*
= 48
So we choose C
