<h3>
Answer: Choice D</h3>
The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20
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Explanation:
Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.
- Factors of 20 are: 1,2,4,5,10,20
- Factors of 2 are: 1,2
Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).
A table like the one shown below might be handy to keep track of all the terms.
Answer: 
Step-by-step explanation:
When any number has a negative exponent, all the negative exponent is doing is flipping the sides.
When we plug -3 in for x we get 
.
Now just imagine the -3 in fraction form as 
. And all you do now is just flip the sides to get 
And now apply the exponent 2 to the 1 and negative 3.
1 to the power of 2 is just 1
-3 to the power of 2 is 9.
So your answer is
Step-by-step explanation:
20% of the coins are dimes, and 10 coins are selected, so the expected number of dimes is 0.20 * 10 = 2.
So the number generator is fair. It shows that 20% of the coins selected are dimes most of the time.
Answer:
false
Step-by-step explanation:
Solution:
<u>Given:</u>
- Length of rectangle = 4a + 3b
- Width of rectangle = 7a - 2b
- Perimeter of rectangle = 2W + 2L
Let's simplify the perimeter of the rectangle by using the expression for the perimeter.
- => 2W + 2L
- => 2(7a - 2b) + 2(4a + 3b)
- => 14a - 4b + 8a + 6b
- => 22a + 2b
Hence, the polynomial that represents the perimeter of the rectangle is 22a + 2b.
