Answer:
Option A = 75 is the best option
Step-by-step explanation:
It took Ashlie 2.5 hours (11:30 am - 2pm) to assemble the marketing packets
Rate = Number of jobs done/Time taken = 90 packages/hr
Number of jobs done = Rate * Time taken = 90 * 2.5 = 225 packages.
Dwayne has assembled the same number of packages = 225 (as reported in the question),
It took Ashlie 2.5 hours (11 am - 2pm)
Then, his work rate is calculated as: Number of jobs done/Time taken = 225 packages/3 hours = 75
Thus, option A = 75 is the best option
Answer:
x + 2
Step-by-step explanation:
3x^3 - 12x
=3x(x^2 - 4)
= 3x(x + 2)(x - 2)
so (x+2), (x - 2) and 3x are the factors of 3x^3 - 12x
answer:
x + 2
Plug in the point (1,6) into each answer choice.
A) f(n) = 5n - 1
f(1) = 5(1) - 1 = 5 - 1 = 4
(1,4) ≠ (1,6)
Answer choice A is incorrect.
B) f(n) = 5n + 1
f(1) = 5(1) + 1 = 5 + 1 = 6
(1,6) = (1,6)
Answer choice B is correct.
C) f(n) = 4n + 3
f(1) = 4(1) + 3 = 4 + 3 = 7
(1,7) ≠ (1,6)
Answer choice C is incorrect.
D) f(n) = 4n - 3
f(1) = 4(1) - 3 = 4 - 3 = 1
(1,1) ≠ (1,6)
Answer choice D is incorrect.
Your answer is B) f(n) = 5n + 1
160+30x Because you initially start with 160 and 30 feet per second. the 30 feet is the one that's progressing so that's the x.
Answer:

Step-by-step explanation:
So we have the trinomial:

First, factor out a 2:

Now, factor within the parentheses.
To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b
(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.
-5 and 2 works. Therefore:

Replace -3x with 2x and -5x:

Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:

Grouping:

And we're done!