Answer:
Step-by-step explanation:
Given the following :
Number of laptops in 2015 = 759
t(x) = 75x + 759 ; model to determine number of laptops at the school. X years after 2015.
Number of laptops in the school in 2020:
Start by writing the system down, I will use 
to represent 
Substitute the fact that 
into the first equation to get,
Simplify into a quadratic form (
),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be 
.
Clearly for small coefficients like ours 
, this is very easy to figure out. To get 5 and 6 we simply say that 
.
This fits the definition as 
and 
.
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form 
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are 
and 
.
Hope this helps :)
Answer:
3x + 2y =18
Y= -2/3x + 12
3x + 2(-2/3x+12) = 18
3x + (-4/3x+24) = 18
3x + -1 1/3x +24 =18
1 2/3x +24 = 18
1 2/3x = -6
5/3x = -6
x = -3.75
Step-by-step explanation:
Answer: Ethan will have to spend 2 hours reading if 14 pages are left to read
Step-by-step explanation:
Given the equation
P=-30h+74
where p =number of pages left to read and
h= the number of hours he has spent reading
Therefore , if Ethan has 14 pages left to read, then the number of hours Ethan will have to read will be
P=-30h+74
14= -30h + 74
30h= 74-14
30h= 60
h = 60/30
h =2 hours
Ethan will have to spend 2 hours reading if 14 pages are left to read
Answer: 5
Step-by-step explanation:
the only whole number between them is 5 <3
