Answer:
a) (2x+7)(x-4)
b) x = -7/2 and x = 4
Step-by-step explanation:
a) (2x ?)(x ?)
set up the above and considered factors of 28 that, when paired with 2, would give me -1x and -28 → (1·28, 2·14, 4·7)
after trial-and-error, found that 4 and 7 worked (used un-FOIL)
b) 2x + 7 = 0
2x = -7
x = -7/2
*********
x-4 = 0
x = 4
Using the permutation formula, it is found that there are 17,297,280 different signals consisting of 8 flags.
In this problem, the order in which the flags are visited is important, hence the <em>permutation formula</em> is used to solve this question.
<h3>What is the permutation formula?</h3>
The number of possible permutations of x elements from a set of n elements is given by:

The first flag is blue, then the remaining 7 are taken from a set of 14, hence:

There are 17,297,280 different signals consisting of 8 flags.
More can be learned about the permutation formula at brainly.com/question/25925367
Step-by-step explanation:
2y³z²
2(-1)³(3)²
=2(-1)(9)
=-18
Answer:
7 friends
Step-by-step explanation:
Given the inequality expression
17(g+2)+45.99<200
We are to find the value of g that satisfies the inequality
Expand
17g+34 +45.99<200
17g+79.99<200
Subtract 79.99 from both sides
17g+79.99-79.99<200-79.99
17g<120.01
g<120.01/17
g<7.059
Hence the max number of friend that can attend is 7friends.