Question

19.
Suppose a and b vary inversely, and b = 8 when a = 6. Write a function that models the variation and find b when a = 30.

Answer 1

Hello :)
When two values vary inversely, it means their product must remain constant :)
b = 8 when x = 6 , right?
ab = 6 x 8 = 48

When a = 30, we want to find b... but remember, whatever that b is, when multiplied to 30, it must STILL be 48, so...
30b = 48

Now find b :)

Answer 2

to find b would i divide 48 by 30????

Answer 3

That's right :)

Answer 4

1.6=b is that the right answer?

Answer 5

1.6 x 30 = 48... yep, it's correct :)

Answer 6

thank you can you help me with a few more questions please?

Answer 7

Go ahead.

Answer 8

6. Find any points of discontinuity for the rational function.

y = x-8/x^2 +6x-7 (1 point)

x = 1, x = 7
x = 8
x = 1, x = –7
x = –1, x = 7

7. Describe the vertical asymptote(s) and hole(s) for the graph of y = x-5/x^2 +4x +3

asymptotes: x = –3, –1 and no holes.
asymptote: x = –3 and hole: x = –5
asymptotes: x = –3, –1 and hole: x = –5
asymptote: x = –5 and hole: x = –3

8. Find the horizontal asymptote of the graph of y = -4x^6 +6x +3/8x^6 +9x+3 (1 point)

y = 1
y = –1/2
y = 0
There is no horizontal asymptote.

Answer 9

For number 6, it's a rational function, which is continuous everywhere on its domain, so your best bet is to find values of x which are not in its domain, namely, where the denominator is zero.