Answer:
2(3-n)=5
Step-by-step explanation:
Answer:
28.46in
Step-by-step explanation:
C=2πr
C=2π*4.53
C≈28.46in
Answer:
68 plants.
Step-by-step explanation:
Let x represent the number of plants that Reuben bought from the nursery.
We have been given that Reuben bought a whole bunch of plants at the nursery the other day. Right away, five died. So number of plant left would be
.
We are also told that then our dog dug up 2/9 of them. So number of plants left after dug-up would be
.
Further a rabbit came and ate ½ of what was left. So number of plants left would be
.
Since Reuben had only 7 plants left, so we will equate our expression with 7 and solve for x as:





Therefore, Reuben bought 68 plants at the nursery.
Answer:
(18, ∞)
Step-by-step explanation:
(18, ∞) is the only option that works. if we ignore the "greater than" sign, and just set the function equal to -12, we see that x-10=-12 would give us x=-2. If we plug in -3 for x, we get -13, which is less than -12. if we plug in -1 for x, we get -11, which is greater than -12. Therefore, with the function only having one critical point (zero), we know that every value greater than -2 is a solution. Technically, the full solution would be (-2, ∞). however, the only answer available meeting the criteria would be (18, ∞).
Composing functions means that the input of the outer functions is the output of the inner function.
In fact, you can rewrite the circle notation as

So, we can substitute g(x) with its expression:

And since f(x)=x+5, we simply have to add 5 to its input:

Similarly, we have, substituting f with its expression,

And since g(x)=4x+2, we have to multiply the input by 4 and add 2:
