Step-by-step explanation:
By substitution method
6x+3(2x)=12
6x+6x =12
12x=12
x=1
y=2x
y=2*1
y=2
14 hours
672 miles / 48 mph = 14 hours total
Inverse
replace f(x) wih y
solve for x
replace x with f⁻¹(x) and y with x
so
f(x)=3x+5/7
replace
y=3x+5/7
solve for x
minnus 5/7 both sides
y-5/7=3x
divide both sides by 3

=x
replace with f⁻¹(x)
f⁻¹(x)=
Answer:
There are (63) combinations. The notation means "six choose three". Out of six items (flavors) choose three.
(nk)=n!k!(n−k)!.
(63)=6!3!3!.
Think of it this way. There are 6 ways to choose a flavor. Once you choose, there are 5 ways to choose the next. After that, there are 4 flavors left. which is 6!/3!=6⋅5⋅4⋅3⋅2⋅13⋅2⋅1=6⋅5⋅4=120.
But, you could have chosen {chocolate,vanilla,strawberry} and you get the same combination as {vanilla, strawberry, chocolate} so we have to divide by 3!=3⋅2⋅1=6 to account for the order of choosing.
So the number of combinations of flavors is (63)=1206=20.
<h3>Mark me a brainlist</h3>
Answer:
Step-by-step explanation:
Exponential growth function can be represented as follows
y =
Here y increases exponentially with respect to t . As t increases , rate at which y increases is increases .or
dy / dt =by , or rate of increase depends upon y itself
dy / y = bdt
integrating on both sides
lny = bt
y = 
It represents very fast increase in y .
The unrestricted growth of population of human being is an example of exponential growth . As population increases , rate of growth of population also increases.
For exponential decay function
y = 
The decay of a radioactive material is an example of exponential decay function.