A function is decreasing if, reading from left to right, we can see that the graph of the function goes down.
Here we can't see the graph, but we have a brief description.
"the graph goes up until it reaches a maximum at (0, 5), then the graph reaches a relative minimum at (1, 4), then it goes up again"
Now, the graph was going up until it reached the maximum, so at that point, the graph starts going down.
The graph will go downwards until it reaches the minimum, at that point the graph starts increasing again.
So the graph only goes down between x = 0 and x = 1.
we can conclude that the interval on which the given function is decreasing is [0, 1]
If you want to learn more, you can read:
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X=quarters, y=dimes
7+2x=y
0.25x+0.1y=10.15
we substitute the first equation into the second equation
0.25x+0.1(7+2x)=10.15
0.25x+0.7+0.2x=10.15
0.45x+0.7-0.7=10.15-0.7
0.45x=9.45
0.45x/0.45=9.45/0.45
x=21 quarters
7+2x=y, x=21
7+2(21)=y
7+42=y
y=49 dimes
check: 0.25x+0.1y=10.15 when x=21, y=49
21(0.25)=5.25 in quarters
49(0.1)=4.90 in dimes
5.25+4.90=10.15
U² + 6u - 27
u² + 9u - 3u - 27
(u - 3)(u + 9)
Answer:
Here's a 2 step conversion.
Step-by-step explanation:
1. Convert the fraction to a decimal: Divide the numerator by the denominator
2. Add this decimal number to the whole number part of the mixed number
A mixed number is a whole number plus a fraction. To find the decimal form of a fraction just divide the numerator by the denominator using a calculator or long division. Then add the decimal number to the whole number.
Example: Convert the mixed number 7 1/4 to a decimal
Convert the fraction to a decimal: Divide 1 by 4
1 ÷ 4 = 0.25
Add 0.25 to the whole number 7:
7 + 0.25 = 7.25
