a relation is plotted as a linear function on the coordinate plane starting at point c (0,−1)(0,−1) and ending at point d (2,−11)(2,−11) . what is the rate of change for the linear function and what is its initial value? select from the drop-down menus to correctly complete the statements. the rate of change is -11, -5, 0, 5.and the initial value is -11, -2, -1, 0.
slope = (y2 - y1)/(x2 - x1) = (-11 - (-1))/(2 - 0) = -10/2 = -5
I'm not sure what is meant by initial value, but maybe you are looking for the y-intercept of the line.
The y-intercept is the point where the line crosses the y axis, so where x = 0. You have that because your line passes through the point (0, -1). When x = 0, y = -1.
C. the positive correlation between the number of hours spent studying for a spelling test and the score earned on the test.
Step-by-step explanation:Correlation indicates that whether there is any relation between any two or more than two variable. Causation is a kind of correlation where one variable is affected by the other variable.
From all the given options , option C represents variables which are interlinked .
The positive correlation between the number of hours spent studying for a spelling test and the score earned on the test indicates that there can be a causation.
Rest of other options are not interlinked.
set up a system
let x be sour keys and y be chocolate bars
X turns out to be 0.05
y turns out to be 0.95
multiply : 24*0.05=1.2
multiply : 0.95*8=7.6
add : 1.2+7.6 = 8.8
a) To make a perpendicular line with the given linear equation, use the reciprocal of the slope, which is -(1/3) in this case.
So the equation for the first one is y = -(1/3)x
To find what x equals when going through the point (x, 4), plug in 4 for y and solve
y = -(1/3)x
4 = -(1/3)x
4/-(1/3) = -(1/3)x/-(1/3)
-12 = x
So, when y = 4, x = -12
b) Do the same thing for a, use the reciprocal for the slope for the perpendicular line, -4.
This makes the second equation y = -4x
Then plug 4 in for y again, instead using -4 as the slope
y = -4x
4 = -4x
4/-4 = -4x/-4
-1 = x
This shows that when y = 4, x = -1
c is a function because there is no repeated values in any of the three
In the inverse variation function where x varies inversely as y, x=k/y but making k the subject k=x(y)
the third picture
x doesn't repeat
In definition, commensalism is a ecological relationship between two organisms where one benefits and the other doesn't without harming the host for that matter. Unlike commensalism, mutualism exists when those two organisms at the same time benefit from the behavior of the other. (Credit to TaskMasters who answered an older version of this same question)
a relation is plotted as a linear function on the coordinate plane starting at po...