Answer:
1. 4
2. No solution in real numbers, in complex it is 11i and -11i
3. 4
4. 17
5. 8
Step-by-step explanation:
1. f = sqrt(16) = 4
2. No real solution
3. h^2 = 16, h = 4
4. k-4 = 13, k = 17
5. 2m-1=15, m = 8
A number's absolute value means the distance from 0. -6 is 6 units away from 0 units. The absolute value of -6, then, is 6. There's no negative distance you can have, so it has to be positive.
Answer:
Population = number of children in gymnastic class = 5
Parameter = mean number of steps taken by the 5 children
Step-by-step explanation:
The population could simply be referred to as the total number or set of similar objects or subjects related to a certain study or research. In the scenario described above, the area of interest is a particular gymnastic class, therefore all individuals or children belonging to this particular gymnastic class makes up the population.
Parameter on the other hand are statistical metrics, values or calculations derived from the population figure or information. Here, the mean value of steps obtained from the step counts of the population data is called the parameter.
We can use a system of equations to solve this.
Notice that we are required to find 3 consecutive even integers.
This can be represented as x, y, and z, where x is the smallest integer, y is the next largest, and z is the largest of the three.
x = x
y = x + 2
z = y + 2
Take a moment to make sense of the above system of equations.
I can simplify the system a bit more by plugging in the second equation into the third one.
z = (x + 2) + 2
z = x + 4
Now the new system of equations is
x = x
y = x + 2
z = x + 2
Now for the second part of this problem. We are given this equation
2x + z = 268216
You may notice that we no longer need the second equation, y = x + 2. Also, the first equation is redundant, so we can ignore it.
That leaves us with this system:
z = x + 4
2x + z = 268216
What do you think we should do? We can plug in z to solve for x.
2x + (x + 4) = 268216
3x + 4 = 268216
3x = 268212
x = 89404
Now we know the first number in the sequence! Then we can find the other two numbers, because we know that the next numbers must be the next largest even numbers in sequence!
89404, 89406, and 89408 are your answers.