Answer:
Please check the wording of the question. There isn't enough information to select a single value of x.
Step-by-step explanation:
The attached worksheet shows two different combinations of pens and pencils that both sum to a total cost of $10. There are many other combinations that would do the same.
Answer:
we can say that f and g are inverses of each other because f(g(x)) = x and g(f(x)) = x
Step-by-step explanation:
We need to confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
We have
Now, finding f(g(x))
Put x = 8/x in f(x)
So, we get f(g(x))=x
Now, find g(f(x))
Put x = 8/x in g(x)
So, we get g(f(x)) = x
Therefore we can say that f and g are inverses of each other because f(g(x)) = x and g(f(x)) = x
Answer:
42. Graph a
43. Not possible.
44. Graph e
45. Graph c
46. Graph b.
Step-by-step explanation:
42. 7x + 13 ≥ 55
⇒ x ≥ 6
So, it matches graph a.
43. 12x - 8 > 4(3x + 2)
⇒ 12x - 8 > 12x + 8
Hence, d. not possible.
44.
⇒
⇒ x > - 8
Hence, graph e matches.
45. - 4(- 2x + 3) ≤ 5 + 8x
⇒ 8x - 12 ≤ 5 + 8x
⇒ - 12 ≤ 5
This is true for all values of x, hence that matches graph c.
46. - 4(x + 3) > 8(x + 3)
⇒ - 4x - 12 > 8x + 24
⇒ 12x < - 36
⇒ x < - 3
Hence, graph b matches the situation. (Answer)