<u>Answer-</u>
<em>End behavior for increasing x represents that </em><em>the height of each bounce will approach 0.</em>
<u>Solution-</u>
From the graph the exponential equation is,
From the properties of negative exponential function properties, as x increases, the value of y decreases.
So, in this case, as x or number of bounce increases, y or the height of bounce decreases. And eventually the value becomes zero.
Therefore, end behavior for increasing x represents that the height of each bounce will approach 0.
Slope intercept form follows this general equation...
With this information you have posted, all you can do is find slope, your m. To calculate for slope, you need to use this following equation...
Then, you pick one of your coordinate pairs to be 1 and the other to be 2. I will choose the first coordinate pair as 1, so...
You plug in -1 into your slope formula...
Now, to find your y-intercept, or b, you must plug in one of your coordinate pairs. In that equation, you may plug in the values (3,3), so you'll have...
Just solve for b and you will be done
Answer:
65
Step-by-step explanation:
You can use f(15) = 40 to solve for C, then find f(0), the initial temperature.
40 = f(15)
40 = Ce^(-0.045·15) +14 = .50916C +14
26 = .50916C
26/.50916 = C ≈ 51.065
Then f(0) is ...
f(0) = 51.065·e^0 +14 = 65.065 ≈ 65
The initial temperature of the water was 65 degrees Fahrenheit.
Answer: 56 degree
Explanation:
2x + 16 + 3x + 2 + 2x + 2x = 180 (straight angle)
9x + 18 = 180
9x = 162
x = 162/9
x = 18
But WSV = 3x + 2
And x = 18
=> 3(18) + 2
=> 54 + 2 = 56
<u>Answer:</u>
Tabitha will use 12 teaspoons.
<u>Explanation: </u>
According to the question, Tabitha has a largest volume-measuring tool teaspoon, and she wants to use one-fourth cup of broth.
Given that 1 cup consists of 16 tablespoons and 1 tablespoon has 3 teaspoons.
From the data, we can calculate that;
16 tablespoons will be equal to (3*16) = 48 teaspoons.
Therefore, 1 cup = 48 teaspoons.
Substituting the data and we can calculate that 1/4 cup = 48/4 = 12 teaspoons.
