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Answer: 90 is a number which has 9 as the sum of its digits, 9+0=9 and if the digits are reversed, 09 is 81 less than 90.
Step-by-step explanation: Since the number must be a 2-digit number, it seems that 90 is the only number that qualifies.
If you need some equations, here is a way to set up a system to solve:
x+y= 9 rewrite to get a value for y to substitute:
y = 9-x
10x +y = 10y + x + 81 rewrite by moving (subtracting variable terms from both sides)
10x -x + y-10y = 81 combine like terms
9x - 9y = 81
Substitute for y and solve for x
9x - 9(9-x)= 81 distribute.
9x - 81 + 9x = 81
18x = 162. 162/18 = 9
x = 9
Substitute in the original equation to solve for y
9 + y = 9
y = 0
10(9) + 0 = 10(0) + 9 +81
90 - 81 = 09
Explanation:
Consider the following general periodic function:
where
a= amplitude
b = frecuency
h= phase translation
k= vertical translation
2π/ |b| = period
Now, consider the following periodic function:
Applying the definition given at the beginning of this explanation, we can see that:
a = amplitude = 3
2π/ |b| = period = 2π/|1| = 2π
Then, the graph of the given function is:
Notice that the greatest and least values of y are 3 and -3 respectively.
We can conclude that the correct answer is:
Answer:
Graph:
Period:
Amplitude:
The greatest value of y (coordinate y of the maximum point):
The least value of y (coordinate y of the minimum point):
Answer:
42.57
Step-by-step explanation:
Add all of the numbers together:
10+ 39+ 71+ 39+ 76+ 38+ 25=298
Divide by the total numbers that are there:
298÷7=42.57
Hope this helps ^-^
Answer:
a1 = 0.5; common ratio = 5
Step-by-step explanation:
Let the common ratio = r
a2 = 2.5
a3 = 2.5r
a4 = 2.5r * r = 2.5r^2
We are told a4 = 62.5, so
2.5r^2 = 62.5
Divide both sides by 2.5
r^2 = 25
r = 5
a2 = a1 * r
a1 = a2/r = 2.5/5 = 0.5
Answer: a1 = 0.5; common ratio = 5
