Answer:
x
3
Step-by-step explanation:
You add 5 to both sides. Then divide it by 4 to get your answer.
Answer:
360
Step-by-step explanation:
To calculate the number of different combinations of 2 different flavours, 1 topping, and 1 cone, we are going to use the rule of multiplication:
6 * 5 * 4 * 3 = 360
1st flavour 2nd flavour topping cone
Because first, we have 6 possible options for the flavour, then we only have 5 possible options for the 2nd flavour. Then, we have 4 options for the topping and finally, we have 3 options for the cone.
It means that there are 360 different combinations of two different flavours, one topping, and one cone are possible
Answer:
Domain = (-∞,∞) { x|x∈R}
Range = { -4 , ∞} , { y|y≥-4}
Step-by-step explanation:
Answer:
[-3, ∞)
Step-by-step explanation:
There are many ways to find the range but I will use the method I find the easiest.
First, find the derivative of the function.
f(x) = x² - 10x + 22
f'(x) = 2x - 10
Once you find the derivative, set the derivative equal to 0.
2x - 10 = 0
Solve for x.
2x = 10
x = 5
Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.
f(x) = x² - 10x + 22
f(5) = 5² - 10(5) + 22
= 25 - 50 +22
= -3
Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.
This means the range is : [-3, ∞)
Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).
Hope this helped!