The graph represents logarithmic Functions
which has the the form
y = ln x
but with a translation 4 units in the direction of the positive x-axis
So,
<span>The function which corresponds to the given graph⇒⇒ y = ln(x-4)</span>
the attached figure represents a prove for this solution
Answer:
This is a fourth-degree polynomial
X-intercepts are - 5, -5, 3, and -3
The Y-intercept is 225
Step-by-step explanation:
Since it's already in the factored form you can find the zeros by separating each binomial and solving for x
x
2
−
25
=
0
x
2
=
25
x
=
±
5
x
2
−
9
=
0
x
2
=
9
x
=
±
3
so
x
=
±
5
,
±
3
To find the y-intercept and the degree of the polynomial we need to convert the factored form into standard form
f
(
x
)
=
(
x
2
−
25
)
(
x
2
−
9
)
f
(
x
)
=
x
4
−
9
x
2
−
25
x
2
+
225
f
(
x
)
=
x
4
−
34
x
2
+
225
The degree of a polynomial is just the leading coefficients power which is 4 in this equation
In order to find the y-intercept we just need to allow
x
=
0
because that is when any equation will cross the y-axis
f
(
x
)
=
0
4
−
34
(
0
)
2
+
225
f
(
x
)
=
225
If you divide 288 divided 48 which is 6
so you'll need 6 cups of sugar
Depreciation is the decrease in value of a given asset within a given period of time.
Using the formula, A=P(1-r/100)^n, where A is the new value after depreciation, P is the original value, r is the depreciation rate and n is the time taken.
Therefore,
A = 24500(0.8525)^14
= 2623.54 dollars
≈ 2623.50 dollars
Thus the value after 14 years will be 2623.50 dollars