Answer:
2.44746×10⁶
Step-by-step explanation:
R=(3.8×10⁵)²/5.9×10⁴
=3.8²×10¹⁰/5.9×10⁴
=1.444×10¹¹/5.9×10⁴
=1.444×10⁷/5.9
=361×10⁷/1475
=2.44746×10⁶
<h3>Answer:</h3>
The rate of change in the 2nd 3-year interval is 3.375 times that in the 1st 3-year interval.
<h3>Explanation:</h3>
The exponential function tells you that each year values get multiplied by 1.5. Then after thee years, values are multiplied by 1.5³ = 3.375. This is true for all function values, including average rate of change. Whatever the rate of change is in years 0–3, it will be 3.375 times that in years 3–6.
The calculation performed by the graphing calculator confirms this:
... the average rate of change in years 3–6 is 160.3125; in years 0–3, it is 47.5.
The ratio of these average rate of cange values is 3.375.
Just combine these.
3x + 3x = 6x
x = 6
y = 1
Answer:
Rewrite the function as an equation.
y
=
5
x
−
4
Use the slope-intercept form to find the slope and y-intercept.
Tap for fewer steps...
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Find the values of
m
and
b
using the form
y
=
m
x
+
b
.
m
=
5
b
=
−
4
The slope of the line is the value of
m
, and the y-intercept is the value of
b
.
Slope:
5
y-intercept:
−
4
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for fewer steps...
Choose
1
to substitute in for
x
to find the ordered pair.
Tap for fewer steps...
Replace the variable
x
with
1
in the expression.
f
(
1
)
=
5
(
1
)
−
4
Simplify the result.
Tap for more steps...
1
The
y
value at
x
=
1
is
1
.
y
=
1
Choose
0
to substitute in for
x
to find the ordered pair.
Tap for fewer steps...
Replace the variable
x
with
0
in the expression.
f
(
0
)
=
5
(
0
)
−
4
Simplify the result.
Tap for more steps...
−
4
The
y
value at
x
=
0
is
−
4
.
y
=
−
4
Create a table of the
x
and
y
values.
x
y
0
−
4
1
1
Graph the line using the slope and the y-intercept, or the points.
Slope:
5
y-intercept:
−
4
x
y
0
−
4
1
1
Step-by-step explanation:
Step by step:
3n-18=4n+18
~subtract 3n from both sides:
-18= n + 18
~subtract 18 on both sides
answer: -36=n
