Answer:
<em>Assuming person A and person B are part of the 7 people</em>, there are 10 ways the 7 people can line up if A needs to be first or last and B needs to be in the middle.
Step-by-step explanation:
There are 2 places for A (first, last) and 5 places for B (anywhere but first or last). 2 x 5 = 10.
3x + 4y = 16
-4x - 3y = -19
4( 3x + 4y = 16)
3( -4x - 3y = -19)
Distribute
12x + 16y = 64
-12x - 9y = -57
Now subtract both equations
7y = 7
/7 on both sides
y = 1
Substitute y = 1 in one of the equations.
3x + 4y = 16
3x + 4(1) = 16
-4 on both sides
3x = 12
/3 on both sides
x = 4
Answer:
x = 4
y = 1
Answer:
20,158 cases
Step-by-step explanation:
Let
represent year 2010.
We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.
Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.
We can represent this information in an exponential decay function as:


To find number of cases in 2020, we will substitute
in our decay function as:



Therefore, 20,158 cases will be reported in 2020.
Answer:
C
Step-by-step explanation:
The horizontal line, y=2, is solid and shaded above, so it represents

The slanted line, y=x is dashed and shaded below, so it represents y<x.
Answer:
See below.
Step-by-step explanation:
Substitute the value for the variable and solve.
a.)
⇒ y = -5(3) + 17
⇒ y = -15 + 17
⇒ y = 2
b.)
⇒ y = 3(3) - 22
⇒ y = 9 - 22
⇒ y = -13
c.)
⇒ y = 2(3) - 25
⇒ y = 6 - 25
⇒ y = -19
d.)
⇒ y = 6(3) - 39
⇒ y = 18 - 39
⇒ y = -21