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:
b. – 0.4(x + 1.6) = 1.6
Step-by-step explanation:
Answer: H (131.125 ft^2)
Step-by-step explanation:
first, you need to find the area of the wall
wall:
A=Lw (length times width)
A= 9.75 x 15.5 (I changed them into decimals)
A = 151.125
now you need to find the area of the window
window:
A = Lw
A = 4 x 5
A = 20
now you need to subtract the area of the window from the area of the wall to find the amount of space you need to cover with wallpaper
151.125 - 20 = 131.125
Answer:
1/9 is correct
1/3 for 1st spin, 1/3 for 2nd spin. You just multiply them.
69 cm is one standard deviation below the mean
<span>for a normally distributed (bell curve) population </span>
<span>___ about 68% lie within one standard deviation of the mean ___ 34% above and 34% below </span>
<span>in this case , the 34% below the mean is added to the 50% above the mean (the 1/2 of the population equal to or longer than 79 cm) </span>
<span>so 84% of the population is longer than 69 cm</span>
