Answer:
{0,6}
Step-by-step explanation:
-2x^2+12x = 0
Factor out a -2x
-2x(x-6) =0
Using the zero product property
-2x = 0 and x-6=0
-2x = 0
Divide by -2
-2x/-2 = 0/-2
x=0
x-6=0
Add 6 to each side
x-6+6 =0+6
x=6
The solutions are 0 and 6
Test a pair from each table by substituting their values into the given equation and solving.
A) y = 2x + 1 .......... 2 = 2(0) + 1 .......... 2 ≠ 1
B) y = 2x + 1 .......... 1 = 2(0) + 1 .......... 1 = 1
C) y = 2x + 1 .......... -1 = 2(0) + 1 .......... -1 ≠ 1
D) y = 2x + 1 .......... -2 = 2(0) + 1 .......... -2 ≠ 1
The only pair that satisfied the equation was from answer choice B. Therefore, B is the correct answer.
What could be concluded if the relative frequency of an event is equal to 1?
Answer:
1. TRUE
2. False
3. TRUE
4. False
5. TRUE
6. False
Step-by-step explanation:
1. 6859^(1/3) = 19 = ∛(19^3)
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2. 2197^(1/3) = 13 ≠ 9·2
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3. 8000^(1/3) = 20 = 10·2
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4. 9261^(1/3) = 21 ≠ 13
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5. 3375^(1/3) = 15 = 5·3
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6. 5832^(1/3) = 18 ≠ 3·7