Since the variable x is at the exponent, this is an exponential function.
To decide whether an exponential function is a growing or decaying one, we have to look at the base of the exponent.
If the base is between 0 and 1, we have exponential decay
If the base is larger than 1, we have exponential growth.
In your case the base is 3, which is larger than 1, so you have exponential growth.
Thus, <u>option d</u> is your answer
Answer:
Radius: 7.5 cm ; Diameter: 15 cm
Step-by-step explanation:
The radius of a circle is basically the middle "halfway" point and in this case, it has already been given, 7.5 cm. The diameter is the middle line of the circle and to find the diameter, you must multiply the radius by 2, which is essentially 7.5 cm*2, and this gives you a diameter of 15 cm.
Hope this helps! :D
Answer:
4b, b, and 9b are like terms
Step-by-step explanation:
So let’s say the equation is x^2 (x squared) -4x + 8 = 0. So you have to eventually graph a palabara. So to get the vertex, you have to find the line of symmetry (this plays a big part). So the formula for the line of symmetry is x= -b/2a. So A is this equation is 1. B is -4. C is 8. So you would plug these numbers in and you get 2. So (2,0) is your like of symmetry. Now you have to plug 2 back in for x. So when you do that you get 4 so the vertex is (2,4). So the vertex is (2, 4) and basically what the vertex is is it is the highest or lowest point of a palabara. So you can tel if it opens up or down by looking is A is negative or positive. If A is negative the it opens down. If it is positive then it opens up. So now you just put points in. Create a t chart. Like x/y. So when X is 1 for example, y is 5. So you graph (1, 5) and you graph the point that is the same distance from the line of symmetry. You do this until you have 5 points. I hope this helps. It’s hard to teach this over text.
