<em>Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.</em>
Answer:

Step-by-step explanation:
Given the expression

solving the expression

apply the rule: 


simplify

Therefore, the simplified form is:

<em>Note: Your answer choices remain a little unclear. But, I have solved the concept and solution, so you can easily figure it out.</em>
You start by finding two points on the line. In this case, (-4,1) and (-2,2) will do.
To get from (-4,1) to (-2,2), you need to go “up 1, right 2” which gives you a slope of m = 1/2
Next you need the b-value, which comes from the y-intercept of (0,3). The b-value is 3.
Putting the slope and b-value into y=mx+b, you have y = 1/2 x + 3.
I am doing with Question Number 2
Let the two numbers be 'x' and 'y'.
According to the question, the product of two numbers is 14.

So, xy=14 (Equation 1)
Now, one of the numbers is 3 ½ times the other.
So, 
(Equation 2)
Substituting the value of 'x' from equation 2 in equation 1, we get



So, y= 2 and -2
So,
and 
x=7 and -7
Numbers are 2,7 and -2,-7.
Sum of numbers 2 and 7 = 9
Sum of numbers -2 and -7 = -9.
Answer: the trip (one-way) that Alan made on Saturday was 63 miles.
Step-by-step explanation:
Let x represent the distance of the trip that Alan made on Saturday.
Let t represent the time that it took Alan to make the trip on Saturday.
On Saturday, Alan traveled North along minor roads averaging 36 mph to visit a friend.
Distance = speed × time.
Therefore, distance travelled on Saturday would be
x = 36 × t = 36t
On Sunday, he traveled East along main roads averaging 60 mph to visit his mother. The trip to visit his mother was 24 miles longer and took 18 minutes(18/60 = 0.3 hours) less. This means that the distance travelled would be
x + 24 and the time spent would be t - 0.3 hours.
Distance travelled on Sunday would be
x + 24 = 60(t - 0.3)
x + 24 = 60t - 18 - - - - - - -- - - 1
Substituting x = 36t into equation 1, it becomes
36t + 24 = 60t - 18
60t - 36t = 24 + 18
24t = 42
t = 42/24 = 1.75
x = 36t = 36 × 1.75
x = 63 miles
Answer:
d
Step-by-step explanation: