Answer:
Neither, why... for it to be direct or inverse variation, the model has to fit either y=k/x or y=kx, it may not have a y-intercept at all if it is inverse variation and it must have a y-intercept of 0 for it to be direct variation.
Step-by-step explanation:
The statement y=2 is quite specific. Because k is positive, y increases as x increases. So as x increases by 1, y increases by 1.5. Inverse Variation: Because k is positive, y decreases as x increases. yx is a constant number -8. The constant of variation, k , is 23 . Inverse Variation
An inverse variation can be represented by the equation xy=k or y=kx .
That is, y varies inversely as x if there is some nonzero constant k such that, xy=k or y=kx where x≠0,y≠0 .
Suppose y varies inversely as x such that xy=3 or y=3x . That graph of this equation shown.
Answer:
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Step-by-step explanation:
The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.
Correct equation
Sum = addition (+)
two-thirds = 2/3
The tree's age = a
10 + 2/3a = 50
2/3a = 50 - 10
2/3a = 40
a = 40 ÷ 2/3
= 40 × 3/2
= 60
a = 60 years
Javier writes the equation
(10 + two-thirds) a = 50
(10 + 2/3)a = 50
(30+2/3)a = 50
32/3a = 50
a = 50 ÷ 32/3
= 50 × 3/32
= 150/32
a = 150/32
His error is adding 10 and 2/3 before multiplying by a(age of the tree)
Counting principle
Multiply 11 * 9 * 3 * 7 = 2079
I suppose the integral could be
In that case, since 
as 
, we know 
. We also have 
, so the integral is approach +1 from below. This tells us that, by comparison,
and the latter integral is convergent, so this integral must converge.
To find its value, let 
, so that 
. Then the integral is equal to
![\displaystyle\int_{-1/7}^0e^u\,\mathrm du=e^0-e^{-1/7}=1-\frac1{\sqrt[7]{e}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_%7B-1%2F7%7D%5E0e%5Eu%5C%2C%5Cmathrm%20du%3De%5E0-e%5E%7B-1%2F7%7D%3D1-%5Cfrac1%7B%5Csqrt%5B7%5D%7Be%7D%7D)
o 1-12 - (-15) = -3 is the right answer
