We have to find the inverse of the function:
f ( x ) = 1/2 x + 10
y = 1/2 x + 10
- 1/2 x = - y + 10 / * ( - 1 )
1/2 x = y - 10 / * 2
x = 2 y - 20
f^(-1) ( x )= 2 x - 20
h ( x ) = 2 x - 20
Answer:
The missing value is 20.
Answer:
y=2x^2 + 2x - 3 x -2 -1 0 1 2
Step By Step Explanation:
The values can be find by plugging the x values in the equation which gives us the y value ,
x -2 -1 0 1 2
y 1 -3 -3 1 9
(b) Plot the points on the graph and join by a smooth curve.
(c) The line y=1 will be passing through 1 and parallel to x-axis.
(d) solve 2x^2 + 2x - 3 = 1
Subtract 1 from both the sides ,
2x^2 + 2x - 2 = 0
Factoring out the 2 from the equation ,
2(x^2 + x - 1) = 0
x^2 + x - 1 = 0
Apply the quadratic formula
x=(-1-sqrt(5))/2 and x = (-1+sqrt(5))/5
(4, ?) is on 8x - 3y = -10
The ? is the missing y coordinate. (4, y) satisfies 8x - 3y = -10
8x - 3y = -10. From point (4, y), we would replace x = 4 in the equation below. y remains the unknown.
8*4 - 3y = -10
32 - 3y = -10
-3y = -10 - 32
-3y = - 42
y = -42/-3
y = 14
So the coordinate is (4, 14)
Answer:
Step-by-step explanation:
3,9,12,(15),16,18,21
mean (middle number) = 15
Q1 = 9.....the middle number of the numbers before the mean
Q3 = 18...the middle number of the numbers after the mean
interquartile range (IQR) = Q3 - Q1 = 18 - 9 = 9 <==
As x increasing y decreases.
As x decreases, y increases.
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