We know that the slope-intercept form of an equation is represented by:
y = mx + b
Where m is the slope, b is the y-intercept, and x and y pertain to points on the line in the graph.
So the slope of the line is know to be 3, and we are able to plug that into the equation:
y = 3x + b
We also know that the point (-2, 6) is on the line. With this information, we can then plug in the point into the equation to find b:
6 = 3(-2) + b
Then we can solve for b:
6 = -6 + b
b = 12
Knowing that b is 12, we can then rewrite the equation in a more general slope-intercept form that is applicable to any point on that line:
y = 3x + 12
Thus, your answer would be C.
Answer:
2. The denominator of the fully simplified expression will be x – 1.
4. The numerator of the fully simplified expression will be –3x + 10.
Step-by-step explanation:
Given the rational expression
Let us first simplify before making our deductions.
Opening the brackets
Taking LCM
Opening the brackets and simplifying
The following statements are therefore true:
2. The denominator of the fully simplified expression will be x – 1.
4. The numerator of the fully simplified expression will be –3x + 10.
For this case we have the following system of equations:
Rewriting we have:
Adding equations we have:
Clearing x:
Then, we look for the value of y:
Answer:
The solution to the system of equations is:
x = -89.5
y = 101.5
Answer:
The answer is : 20 seconds
Step-by-step explanation:
First, we are told that it takes the person 8 seconds to travel 56 feet, hence, we will find the time it takes to travel one foot.
56 feet = 8 seconds
∴ 1 foot = 8/56 seconds
Next, we are told that the length of the sidewalk is 140 feet, therefore walking from one end of the sidewalk to the other is the the same as walking 140 feet, and this is calculated thus:
1 foot = 8/56 seconds (calculated above)
∴ 140 feet = 8/56 × 140 = 20 seconds