Part A
Either Nathan picked 0, or Sonia picked 0, or both.
This is because multiplying nonzero numbers together gets a nonzero result. So one of them must have picked 0.
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Part B
It's the same idea as part A. It's not clear what the nonzero values are, but one (or more) person picked 0 as their secret number.
If they picked something like 1, 2 and 3, then the product is 1*2*3 = 6 which is nonzero and the product is larger than the three original values. This is because each value is 1 or larger. If someone picked a small decimal value like 0.1 then 0.1*2*3 = 0.6 is the product. It's closer to 0, but not 0 itself.
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Part C
Zero Product Property:
If m*n = 0, then either m = 0 or n = 0 or both.
This idea says that if the product of two numbers is 0, then at least one of the numbers must be 0 itself. It can be extended to three or more numbers.
This idea is useful when it comes to solving factored quadratic equations.
In the case of 2x^2 + 5x - 12, it factors to (2x-3)(x+4)
So using the zero product property, we can solve the quadratic equation like this
2x^2 + 5x - 12 = 0
(2x-3)(x+4) = 0
2x-3 = 0 or x+4 = 0
2x = 3 or x = -4
x = 3/2 = 1.5 or x = -4
The use of the zero product property happens in step 3
Answer: y = 2x + 20
Step-by-step explanation: slope, y2 - y1/x2 - x1
replace it with these numbers 120 - 60/50 - 20=60/30
than,simplified it we get 2/1. so, now we have the slope of our equation
y = 2x + b. but we still have b (or where the y intersects.) now are slope we have to change it to 1/2 because we are going backwards. So multiply 60 by .5, Thus will give us 30
Now we have y = 2x + 30, But that's not one of your answer,
So y = 2x + 20 cant be -20 because this is a positive y intersect and We know it is a slope of 2.
Therefore the answer is : y = 2x + 20
ALSO I got it correct on the test!!
Answer:
No Solution
Step-by-step explanation:
Simplify 6−3 to 3.
5×3=6+3
Simplify 5×3 to 15.
15=6+3
Simplify 6+3 to 9.
15=9
Since 15=9 is false, there is no solution.
<em>No Solution
</em>
Answer:
19/20
Step-by-step explanation:
20 is the total number of people (the denominator) and 19 is the amount of people able to pay card (the numerator)
