Answer:
Option C. exponential decay function
Step-by-step explanation:
In this problem we have a exponential function of the form
where
y ---> is the money that is in the bank
x ----> number of days
a ---> is the initial value or y-intercept
b is the base of the exponential function
r ---> is the rate of change
b=(1+r)
In this problem we have that
Each day 1/2 of the money that is in bank value is removed
so
---> is negative because is a decreasing function
The value of b is equal to
The value of b is less than 1
b<1
That means -----> Is a exponential decay function
Answer:
A. Opens up with a vertex at (5,-4)
Step-by-step explanation:
Apex
we know that
m∠SQR+x=
-------> by supplementary angles
so
m∠SQR=
The sum of the internal angles of a triangle is equal to degrees
m∠SQR+m∠QSR+m∠SRQ=
substitute the values in the formula
m∠SQR+
+
=
m∠SQR=
degrees
<u>Find the value of x</u>
m∠SQR=
x=-m∠SQR
x=
x=
degrees
therefore
<u>the answer is</u>
the value of x is degrees
Given :
A line 2x + 1 =0 .
To Find :
The slope of the given line .
Solution :
We know , slope of line is given by the tangent of the angle between the x-axis and the line .
Now, for line 2x + 1 =0 i.e 
.
The line is perpendicular to x-axis and cuts the x-axis at 
.
Therefore , the angle between the line and x-axis is 
.
So , slope 
i.e undefined .
Therefore , the slope of given line is not defined .
Hence , this is the required solution .
Answer:
4 x^3 - 3 x^2
Step-by-step explanation:
Expand the following:
x^2 (4 x - 3)
x^2 (4 x - 3) = x^2×4 x + x^2 (-3):
4 x^2 x - 3 x^2
x^2×4 x = x^(2 + 1)×4:
4 x^(2 + 1) - 3 x^2
2 + 1 = 3:
Answer: 4 x^3 - 3 x^2
