Answer:
x = 16
Step-by-step explanation:
Since the numbers are in ascending order, x is the number with the highest value here.
From the arrangement, we can see that the median (the middle number) is the third number which is 9
The mean is the sum of the numbers divided by their count. So we set up the mean and equate to the median
We have this as;
(1 + 9 + 9 + 10 + x)/5 = 9
29 + x = 5(9)
29 + x = 45
x = 45-29
x = 16
Answer:
Step-by-step explanation:
2 miles=10 laps
3 miles=15 laps
5 miles=25 laps
Hope it helps
Apply the elimination method to the 2y terms since they are opposites & therefore can eliminate. Combine the rest of the terms, vertically.
x-2y= -7
4x+2y= 22
5x = 15
Divide both sides by 5.
x=3
Plug the x value to one of the original equations and solve for y.
4x + 2y = 22
4(3) + 2y = 22
12 + 2y = 22
Subtract by 12 on both sides.
2y = 10
Divide by 2 on both sides.
y = 5
Therefore, the solution to the system of equations shown is:
x=3 y=5
or
as an ordered pair (3, 5).
Answer:
The solutions to the quadratic equations are:

Step-by-step explanation:
Given the function

substitute y = 0 in the equation to determine the zeros

Switch sides

Add 4 to both sides

Simplify

Rewrite in the form (x+a)² = b
But, in order to rewrite in the form x²+2ax+a²
Solve for 'a'
2ax = -6x
a = -3
so add a² = (-3)² to both sides


Apply perfect square formula: (a-b)² = a²-2ab+b²


solve

Add 3 to both sides

Simplify

now solving

Add 3 to both sides

Simplify

Thus, the solutions to the quadratic equations are:

Answer:
3x
Step-by-step explanation: