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Define the numbers:
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Let x be one number.
One number = x
Other number = 5x
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Construct the equation:
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5x - x = 80
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Combine like terms:
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4x = 80
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Divide by 4 on both sides:
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x = 20
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Find the 2 numbers:
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One number = x = 20
Other number = 5x = 5(20) = 100
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Answer: The two numbers in increasing order are 20 and 100.
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Answer:
As 
, 
.
Step-by-step explanation:
See the attached image for the graph of <em>f</em> .
As 
, the important part of the definition of <em>f</em> is the first part, valid for [0, 2). On the interval [1, 2), [x] = 1, so 
, and the slope is 1.
Interestingly, on the interval [2, 3), 
, making 
. As 
, the value of <em>f </em>' approaches 4. That accounts for the sudden change in direction at the point (2, 2) where the two pieces of the graph connect.
So although the pieces meet at (2, 2) -- <em>f</em> is continuous -- <em>f</em> does not have a (two-sided) derivative at that point because the left-hand derivative and right-hand derivative have different values. There's a "bend" in the graph.
Answer:
Step-by-step explanation:
There can be two values of x.
The range is largest no. - smallest no.
Range = 64
Let x be the smallest no.
largest no. from the list is 37
37 - x = 64
-x = 64 - 37
x = -27
Let x be the largest no.
smallest no. from the list is 3
x - 3 = 64
x = 64 + 3
x = 67
The elimination method is a sufficient way to solve problems.
2x+y= 20
6x-5y=12
Add 5y to the one equation.
2x+6y= 20
6x= 12
Subtract 2x from both sides.
6y= 20
4x= 12
Divide 6 by 20.
y= 3.3
Divide 4 by 12.
x= 3
I hope this helped you!
Brainliest answer is appreciated!
