City A and City B are about 76.5 miles apart because 51*1.5 = 76.5
Answer:
y
=
4
(
1
2
)
x
Explanation:
An exponential function is in the general form
y
=
a
(
b
)
x
We know the points
(
−
1
,
8
)
and
(
1
,
2
)
, so the following are true:
8
=
a
(
b
−
1
)
=
a
b
2
=
a
(
b
1
)
=
a
b
Multiply both sides of the first equation by
b
to find that
8
b
=
a
Plug this into the second equation and solve for
b
:
2
=
(
8
b
)
b
2
=
8
b
2
b
2
=
1
4
b
=
±
1
2
Two equations seem to be possible here. Plug both values of
b
into the either equation to find
a
. I'll use the second equation for simpler algebra.
If
b
=
1
2
:
2
=
a
(
1
2
)
a
=
4
Giving us the equation:
y
=
4
(
1
2
)
x
If
b
=
−
1
2
:
2
=
a
(
−
1
2
)
a
=
−
4
Giving us the equation:
y
=
−
4
(
−
1
2
)
x
However! In an exponential function,
b
>
0
, otherwise many issues arise when trying to graph the function.
The only valid function is
y
=
4
(
1
2
)
x
Hey there! I'm happy to help!
Let's look at the factors of each of these numbers.
25
1,25
5,5
30
1,30
2,15
3,10
5,6
The greatest common factor between these is 5. Therefore, we divide 25+30 by 5 and put the 5 on the outside.
5(5+6).
This has the same value but it is just written differently.
Have a wonderful day! :D
Answer:
73 nickels, 27 dimes
Step-by-step explanation:
x+y=100
5x+10y=635
x=100-y
5(100-y)+10y=635
500-5y+10y=635
500+5y=635
5y=135
y=27
5x+10(27)=635
5x+270=635
5x=365
73
73+27=100
Answer:
Step-by-step A bureaucrat who had no hope of advancing professionally still followed every rule, even when it slowed down his work and personal growth. According to the strain theory, what type of deviance does his behavior illustrate?
