Answer:
1/3
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
m = (2 - 3)/(3 - 6) = (-1)/(-3) = 1/3
Answer:
-x - 4
Step-by-step explanation:
(x + 1) - (2x + 5)
Distribute the - sign into (2x + 5). When you do so, the positive sign will change to negative sign
We have
x + 1 - 2x - 5
Rearrange the expression
x - 2x + 1 - 5
-x - 4
Answer: 2/3, 8/12
Step-by-step explanation:
Answer:
The last choice would be the best because peak is high, and in the histogram, it means it is the highest point in the histogram and data. Hope ths helped!
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
As the function f(x) is an exponencial function, it will grow faster than g(x), that is a linear function.
For small values of x, we have that f(x) < g(x). For example:
f(1) = 1/2 * 2 = 1
g(1) = 5*1 + 2 = 7
f(2) = 1/2 * 4 = 2
g(2) = 5*2 + 4 = 14
So we just need to check some integer values and see when f(x) will be bigger than g(x). It will not be a big value, as the exponencial function grows very fast.
For x = 5, we have:
f(5) = 1/2 * 32 = 16
g(5) = 5*5 + 4 = 29
For x = 6, we have:
f(6) = 1/2 * 64 = 32
g(6) = 5*6 + 4 = 34
For x = 7, we have:
f(7) = 1/2 * 128 = 64
g(7) = 5*7 + 4 = 39
So the largest integer value of x for f(x) ≤ g(x) is x = 6.
Another way to solve this is by plotting both equations, and then checking where they cross, that is, where f(x) = g(x).