Answer:

Step-by-step explanation:
See the attached graph.
The points (0,3) and (1,1) are on the graph of the exponential function.
Let the function be
....... (1)
Now, satisfying the point (0,3) we get from the equation (1),
Therefore, the initial value of the function is a = 3
Hence, the equation becomes
......... (2)
Now, satisfying the point (1,1) we get from equation (2)
⇒ b = 1/3
So, the final equation becomes
(Answer)
Because the 2 bottom inside angles are identical ( they are both 50 degrees) this means that both sides LM and MN are the same length.
To find the length of MN, set both sides to equal, solve for x, then replace x in the equation.
4x = x+3
Subtract 1x from each side:
3x = 3
Divide both sides by 3:x = 3/3 = 1
Now we know x is equal to 1, we can solve for MN:
MN = x+3 = 1+3 = 4
The answer is D. 4
Answer:
The number of calories is going to be pretty close to proportional to the area of the pizza. Figure out the area of a 6-ince pizza, and then figure out the area of a 14-inch pizza. Then you're going to get a proportion:
(Area of 14 inch pizza) is to (Area of 6 inch pizza) as (Number of calories in 14 inch pizza) is to (Number of calories in 6 inch pizza.
You know the areas of both sizes and the number of calories in the 6 inch pizza, so you should be able to find the number of calories in the 14 inch pizza.
Then divide by 8 to get the number of calories in each slice.
He could mow 2 lawns. if he mows 1/3 of the law in 1/6 of an hour, then he can mow 2/3 of the law in 2/6 of an hour. keep adding 1/3 to the amount of lawn mowed as you add 1/6 to the amount of hours, until you hit 6/6 hours, which would be one hour