Answer:
All potential roots are 3,3 and 
.
Step-by-step explanation:
Potential roots of the polynomial is all possible roots of f(x).
Using rational root theorem test. We will find all the possible or potential roots of the polynomial.
p=All the positive/negative factors of 45
q=All the positive/negative factors of 3
All possible roots
Now we check each rational root and see which are possible roots for given function.
Similarly, we will check for all value of p/q and we get
Thus, All potential roots are 3,3 and .
Let:
Vj = Speed of jane
Vm = Speed of mike
d = distance
t = time
Jane travels 7 mph less than 2 times as fast as Mike, therefore:
Vj = 2Vm - 7
Remeber:
distance = speed*time
Distance traveled by mike:
d=Vm*t = Vm*6
Distance traveled by jane:
d + 198 = Vj*6
where:
Vj = 2Vm - 7
d + 198 = (2Vm-7)*6
Now, let:
d=Vm*6 (1)
d + 198 = (2Vm-7)*6 (2)
Replace (1) into (2)
6Vm + 198 = 12Vm - 42
Subtract 6Vm from both sides:
6Vm + 198 - 6Vm = 12Vm - 42 - 6Vm
198 = 6Vm - 42
Add 42 to both sides:
198 + 42 = 6Vm - 42 + 42
240 = 6Vm
Divide both sides by 6:
240/6 = 6Vm/6
40 = Vm
Vm = 40mph
Replace Vm into this equation Vj = 2Vm - 7 :
Vj = 2(40) - 7 = 80 - 7 = 73mph
Step-by-step explanation:
Question number 1 The part is 23 and the whole is 35 and the percent is 66%.
Question number 2 is The part is 20 and the whole is 32 and the percent is 62.5%.
Question number 3 is 41 is 82% of 50.
Question number 4 is 3 is 6%of 18.
Question number 5 is 14 is 28% of 50.
Answer:
C ( 7, -3 )
Step-by-step explanation:
Question:
which point is 8 units away from ( 7, 5 ) ?
Choices:
A : (0,-3 )B (15,13) C ( 7, -3 ) D ( 1, 5 )
Solution:
(7, 5) and (7, 3) have the same x-coordinate, 7.
They are both on a vertical line that passes through point (7, 0).
(7, 5) is 5 units above the x-axis.
(7, -3) is 3 units below the x-axis.
5 + 3 = 8
(7, 5) and (7, 3) are 8 units apart.
Answer: C ( 7, -3 )
