The given identity tells you ...
.. (sum of numbers) * (sum of squares - product) = (sum of cubes)
Substituting the given information, you have
.. (sum of numbers) * (29 -10) = 133
Then you can divide by (29 -10) to get
.. sum of numbers = 133/19 = 7
The sum of the two numbers is 7.
Answer:
Please check the explanation.
Step-by-step explanation:
Given
a)
f(x) + g(x) = (2x - 1) + (2 - x)
= 2x -1 + 2 - x
= x + 1
b)
f(x) - g(x) = (2x - 1) - (2 - x)
= 2x - 1 - 2 + x
= 3x - 3
c)
g(-5) - f(-5)
Putting x = -5 in g(x) = 2 - x
g(x) = 2 - x
g(-5) = 2 - (-5) = 2+5 = 7
Putting x = -5 in f(x) = 2x - 1
f(x) = 2x - 1
f(-5) = 2(-5) - 1
= -10 - 1
= -11
Thus,
g(-5) - f(-5) = 7 - (-11) = 7+11 = 18
d)
f(x).g(x) = (2x - 1) (2 - x) = -2x² + 5x - 2
e)
f(g(x)) = f(2-x)
= 2(2-x)-1
= 4-2x-1
= 3-2x
Answer:
c) 
Step-by-step explanation:
Equation for regression line of y on x is given as

where
= predicted value
m = slope of line
b = intercept
m and b are found as

r = correlation coefficient = 0.88
Sx = standard deviation for independent variable x = 13
Sy = standard deviation for dependent variable y = 27
= mean value of independent variable x = 21
= mean value of dependent variable y = 55
Substituting these values in (2) and (3)


Putting these values of m and b in (1)

Answer:
i think it's undefined
Step-by-step explanation:
Answer:
profit $450
Step-by-step explanation:
subtract 9000 (expenses) from the revenue (9450) to get $450 of profit