Answer:
3 sets.
1 7 10
2 7 9
3 7 8.
Step-by-step explanation:
The sum must be 18 ( 3*6) and 7 is the middle number ( the median).
So the first and last numbers must add up to 11 with the first number less than 7. As there is no mode no number can be repeated.
So one set is 3 7 8 (the first number can't be 4 as the last number would have to be 7)
Others are 2 7 9,
1 7 10.
Since a square is equal on all 4 sides, that means each side would be 5, because 20/4=5
so using the Pythagorean thrm (which we can use since a square has all 90 degree angles)
a=5 b=5 c=?
5^2+5^2=c^2
25+25=c^2
50=c^2 *square root both sides*
c= 7.07
So the answer would be 7.1
Answer:
28 students
Step-by-step explanation:
30% is equal to .3
40 x .3 equals 12
This means the class has lost 12 students.
40 - 12 is 28.
Another way:
Because the class has lost 30% of it's students, you know that the class is 70% of it's original capacity.
70% is equal to .7
40 x .7 is 28
Answer:
the duration of this event is 4 hours
Step-by-step explanation:
This function is a quadratic one
let Δ be the dicriminant :
- a = -16
- b = 48
- c= 64
- Δ = 48²-4*(-16)*64 = 6400
so there are two values that satisfy -16t²+48t+64 = 0 x and y
- x= (-48+80)/-16*2 = -1
- y= (-48-80)/-16*2= 4
x<0 so w won't take it since time is a positive value here
so t = y = 4h
Choice A) The vertical line test confirms that the graph is a function
True. It is impossible to pass a single vertical line through more than one point on this graph.
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Choice B) The domain is x >= 2
False. The domain is the set of all real numbers
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Choice C) The range is y >= 2
True. The smallest y value possible is y = 2. This is where the lowest part of the graph occurs.
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Choice D) This piecewise function is made up of four intervals
False. There are two intervals (the curved one on the left; the straight piece on the right)
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Choice E) Each interval of the piecewise function contains a graph of a linear function.
False. While the piece on the right is linear, the left portion is nonlinear (curved piece).
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In summary we have:
choice A) true
choice B) false
choice C) true
choice D) false
choice E) false
So the answers are choice A and choice C
