Answer:
A. {−3.5, −2, 1, 2.5}
Step-by-step explanation:
Remember that the range is the possible values for Y in any given function, so in this case, we are given the Y values and we have to solve the function for x:
y=9+6x
6x=y-9
So we just insert the values, the first one being -12.
So since from the options only A has -3.5 as an option that's the correct answer.
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Answers
1) 1
2) 11
3) 4
4) D) Yes, the constant of variation is 3
Explanation
Q1
The slope of a line is given by
Slope = (change in y)/(change in x)
= (0 - -2)/(-4 - -6)
= 2/2
= 1
Q2
Slope = Δy/Δx
= (8 - -3)/(2 - 1)
= 11/1
= 11
Q3
Y varies directly as X. This is written as,
Y ∞ X
Put and equal sign then introduce the constant of proportionality, K.
Y = KX
K = Y/X
K = 6/18 = 1/3
∴ Y = (1/3)X
Y = (1/3) × 12
Y = 4
Q4
32Y = 96X
Dividing both sides by 32,
Y = 96/32 X
Y = 3X
3 been the constant, Y varies directly as X.
So, the equation 32y = 96x is a direct variation.
Constant of variation = 3
Answer:
-4
Step-by-step explanation:
Find the gradient of the line segment between the points (0,2) and (-2,10).
Given data
x1= 0
x2= -2
y1= 2
y2=10
The expression for the gradient is given as
M= y2-y1/x2-x1
substitute
M= 10-2/-2-0
M= 8/-2
m= -4
Hence the gradient is -4
Answer:
Step-by-step explanation:
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Hope this helped!
<h3>~AH1807</h3>
Answer:
1/2
Step-by-step explanation:
the rate of change is = the change in y/ the change in x
if the points are (2, 11) and (8, 14)
Rate of change = (14-11) / (8-2) = 3 / 6 = 1/2
