Given:
Three integers, a, b, and c, where c is a positive integer.
The product of a and b is 6.
The product of a and c is -4.
The product of b and c is -6.
To find:
The values of a,b and c.
Solution:
According to the given information:
...(i)
...(ii)
...(iii)
From (ii), we get
...(iv)
From (iii), we get
...(v)
Putting
and
in (i), we get
Taking square root on both sides, we get
It is given that c is a positive integer. So, it cannot be negative and the only value of c is
.
Putting
in (iv), we get


Putting
in (v), we get


Therefore, the values of a,b,c are
.
Answer:
y = -5/7x + 27/7
Step-by-step explanation:
y2 - y1 / x2 - x1
1 - 6 / 4 - (-3)
-5 / 7
= -5/7
y = -5/7x + b
1 = -5/7(4) + b
1 = -20/7 + b
27/7 = b
The answer is C. 2 hours and 15 minutes. Please refer to the attached document to see the image for better understanding of solution.
Philadelphia = Point A
Pittsburgh = Point B
X = distance traveled by Michelle
(305-X) = distance traveled by Rich
The general formula used is:


Assigning values gives 2 equations:
For Michelle:

For Rich:

Substituting both equations gives:
X = 146.852 miles
t = 2.26 hours or approximately 2 hours and 15 minutes
<span>With the mean of 40k and standard deviation of 5k, we need to find P(x>=30k). P((30k-40k)/5k) = P(z<-2) = 1-0.0228 which is equal to 0.9772. There is a 97.72% chances that the starting salary will be at least 30k.</span>