Answer:
1/3 , only one solution
Step-by-step explanation:
3x-1 = 1-3x
3x-1 = -3x+1
6x-1 = 1
6x = 2
x = 1/3
Answer: (-2, 2) and (4, 8)
There are two solutions because the two functions cross each other twice.
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If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
Given,
The average of x and y = 11
We know average = Sum of the terms / Number of terms
Then, the equation will become
x+y =11×2
x+y =22
Average of x, y and z = 5
x+y+z = 5×3
x+y+z =15
Substitute the value of x+y
22+z=15
z =15-22
x = -7
Hence, If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
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The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
<h3>How to simplify the expression?</h3>
The expression is given as:
(5.1)(5.12)4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1) * (5.1^8)
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1)^(1 + 8)
Evaluate the sum
(5.1)(5.1^2)^4 = (5.1)^9
Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
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