For graph 1, the y-intercept is (0,1) and the slope is 1.
For graph 2, the y-intercept is (0,4) and the slope is -1.
For graph 3, the y-intercept is (0,-4) and the slope is -2.
For graph 4, the y-intercept is (0,-3) and the slope is 3/2.
For graph 5, the y-intercept is (0,4) and the slope is 2.
For graph 6, the y-intercept is (0,3) and the slope is -3/2.
(By the way, since the graphs aren't labeled as numbers, I went from left to right, and then down, and then left to right again).
Now, here's the explanation:
Solving for y-intercept is easier than it sounds. All you need to do is mark the point where the line crosses the y-axis (vertical axis).
Solving for slope is just rise/run. For example, in graph one, the points on the line went up one and then to the right one.
So, 1/1 = 1.
When a slope moves down or to the left, it will be negative. However, that's only if the rise OR run is down/left. If both are negative, the two will cancel each other out to make a positive.
Hope this helped!!
The sum of all five numbers in the list is 25.
According to the question,
The first number on my list of five numbers is 1, and the fifth is 5. The other figures are all one more than their two nearest neighbors' averages.
Let the list of numbers be 1,x,y,z,5.
As each of the other numbers is equal to one more than the average of its two neighbors.
x=(1+y)/2+1
2x=3+y -(1)
Similarly,
y=(x+z)/2+1
2y=x+z+2 -(2)
z=(y+5)/2+1
2z=y+7 -(3)
Multiply equation (2) by 2 and then substitute equations (1) and (3),
4y=3+y+y+7+4
4y=2y+14
2y=14
y=14/2
y=7
From equation (1),
2x=3+7
2x=10
x=5
From equation (3),
2z=7+7
2z=14
z=14/2
z=7
The list is: 1,5,7,7,5
Sum of the numbers of list = 1+5+7+7+5 = 25
Learn more about sum here:
brainly.com/question/17695139
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Answer: 233 min
Step-by-step explanation:
This problem can be solved by the following equation:
(1)
Where:
is the quantity left after time
is the initial quantity
is the time elapsed
is the constant of decay for the material
So, firstly we need to find the value of from (1) in order to move to the next part of the problem:
(2)
Applying natural logarithm on both sides of the equation:
(3)
(4)
(5)
(6)
(7) Now that we have the value of we can solve the other part of this problem: Find the time for .
In this case we need to isolate from (1):
(8)
(9)
Finally:
False because 3/4 is equal to .75 which is not equivalent to .34 . Hope that helps!
Answer:
(2, 2, 1)
Step-by-step explanation:
You can see that the point is moved 2 units (x axis), 2 units (y axis) and 1 unit (z axis). Because you write coordiantes as (x,y,z), you write (2,2,1)