Answer:
Option (D)
Step-by-step explanation:
Given polynomial is,
2x³ - 3x² - 3x + 2
If (x - 2) is the factor of the given polynomial,
By synthetic division we can get the other factor.
2 | 2 -3 -3 2
<u> 4 2 -2 </u>
2 1 -1 0
Therefore, other factor of the given polynomial is (2x² + x - 1)
Now (2x² + x - 1) = 2x² + 2x - x - 1
= 2x(x + 1) -1(x + 1)
= (2x - 1)(x + 1)
Therefore, factors of the given polynomial other than (x - 2) are (2x - 1) and (x + 1)
Option (D) will be the answer.
Step-by-step explanation:
Variable x = number of copies
6.50 <= 0.45x
Divide both sides by 0.45
6.50 ÷ 0.45 <= 0.45x ÷ 0.45
14.4444.... <= x
No more than 14 copies
6.50 <= 0.45x
6.50 <= 0.45(14.444)
Answer:
A. Constant of proportionality : Yes
B. Origin : No.
C. Inverse : No.
D. Rise per run : Yes
E. Unit rate : Yes.
Step-by-step explanation:
We have to choose yes or no to tell whether each item in the given options is equivalent to the slope in a proportional relationship.
A. Constant of proportionality: Yes
B. Origin: No.
C. Inverse: No.
D. Rise per run: Yes
E. Unit rate: Yes.
The constant of proportionality, the rise per run and the unit rate are equivalent to slope in a proportional relationship. (Answer)
Here, regrouping is basically carrying.
64+43 shown vertically would be:
64
+43
-------
107
4+3 is 7, so seven is in the ones place, but that's not the point.
60+40 is 100, so you regroup by carrying the one to the hundreds place.
Hope I helped!
The number of times the spinner landed on a space numbered greater than 4 = 167
Step-by-step explanation:
Step 1 :
Given,
Number of equal area spaces in the spinner = 6
Number of times the spinner was spun = 500
We need to find the number of times the spinner landed on a space numbered greater than 4
Step 2 :
Total number of outcome = 6
Favorable outcomes are = Numbers greater than 4 = 5,6
Total number of favorable outcome = 2
Therefore Probability that the spinner will land on a number that is greater than 4 is 
= 
The number of times that the spinner landed on a space numbered greater than 4 = 500 × = 166.67 = 167 (rounded off to the nearest integer)
Step 3 :
Answer :
The number of times the spinner landed on a space numbered greater than 4 = 167
