We have that
using a graph tool
see the attached figure
case A) <span>f(x) = 4^x
</span>this function is not <span>represented in the graph
case B) </span><span>f(x) = 4^(x) − 3
</span>this function is not represented in the graph
case C) <span>f(x) = 4^(x) + 3
</span>this function is represented in the graph
case D) <span>f(x) = 4^(x + 3)
</span>this function is not represented in the graph
the answer iscase C) f(x) = 4^(x) + 3
Answer: 13
Step-by-step explanation: Pythagorean theorem,
a²+b²=c²
5²+12²=c²
25+144=c²
Square root of 169 is 13
Hope this helps you!!!
Answer:
Vertex = (12,64)
The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
X-intercepts: 4 and 20
The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
Step-by-step explanation:
To find the vertex we can use the formula for the x-coordinate of the vertex:
x_v = -b/2a
Where a and b are coefficients of the quadratic equation (in this case, a = -1 and b = 24)
So we have that:
x_v = -24 / (-2) = 12
The vertex is 12 cups of coffee. Now we apply this value to find the y-coordinate of the vertex:
f(x) = -12^2 + 24*12 - 80 = 64
So the vertex is (12,64). The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
To find the x-intercepts, we need to make f(x) = 0 and find the values of x:
-x2 + 24x - 80 = 0
Delta = 24^2 - 80*4 = 256
sqrt(Delta) = 16
x1 = (-24 + 16)/(-2) = 4
x2 = (-24 - 16)/(-2) = 20
The x-intercepts are 4 and 20. The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
Answer:B,C
Step-by-step explanation:
the other do is always numbers with t be oossblie because of the quadratic formula
*written: seven million.
*expanded: 7,000,000+000,000
