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).
Answer:
No solution
Step-by-step explanation:
Answer:
(x,y)=(5,-1)
Step-by-step explanation:
1. 2x+y=9 ---> y=9-2x
2. Substitute y=9-2x into 3x-2y=17 ---> 3x-2(9-2x)=17 ---> 3x-18+4x=17 --> 7x=35 ---> x=5.
3. Substitute x=5 into 2x+y=9 ---> 2*5+y=9 ---> y=9-10 ---> y= -1
Answer:
mean = 2.55
Standard deviation = 1.118
Step-by-step explanation:
Probability of babies who are boys
P = 0.51
Then we have q = 1-p
= 1-0.51
= 0.49
We have n = 5
We calculate the mean as:
np
= 0.51x5
= 2.55
Therefore mean = 2.55
The standard deviation
= √variance
= √npq
= √0.51x5x0.49
=√1.2495
= 1.118
We know that 1 meter is 0.001 km and that 1 minute is 60 seconds.
To transform 15m/s we into km/min we have to multiply 15 by 0.001 and multiply it by 60.
- its the answer
