Graph the equations to find the solution(s) to the system.
1 answer:
By graphing both equations, we see that the solutions of the system of equations are (1.05, 4.05) and (-4.97, - 1.97)
<h3>How to solve the system of equations?</h3>Here we have the system of equations:
y = x + 3
y = 13*(x + 5)*(x - 1).
To solve this system graphically, we need to graph both equations and see where the curves intercept.
The graph of the two equations can be seen below.
There are two solutions, one is (1.05, 4.05) and the other is (-4.97, - 1.97)
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The true statement for f(x)=b^x is the function is always decreasing function.
We have given,
f(x)=b^x where 0<b<1
<h3>What is the domain?</h3>Domain is all possible values of x for which any function is defined
We can select any values of x for which function
It will be defined for all real x
So, the domain is
The range is all possible values of y for which x is defined
we are given that b is positive
The value of the function will always be positive
So, the range is
y>0
The x-intercept:
Set f(x)=0 and then we can solve for x
f(x)=b^x=0
x is undefined
The x-intercept does not exist
Increasing or decreasing:
Since, 0<b<1
The b is a positive value less than 1
As we increase the value of, will keep decreasing
This is decreasing function
To learn more about the function visit:
Answer:
Step-by-step explanation:
Vertices of the given quadrilateral are A(-4, 3), B(2, -1), C(2, -5) and D(-4, -1)
Since, slope of a line passing through two points and
is given by,
Slope =
Slope of AB =
=
Slope of AD =
= Not defined (Parallel to y-axis)
Slope of DC =
=
Slope of BC =
= Not defined (Parallel to y-axis)
Slope of AB = slope of DC =
Slope of BC = slope of AD = Not defined (parallel to y-axis)
As per property of a parallelogram,
"Opposite sides of a parallelogram are parallel and equal in measure"
Therefore, ABCD is a parallelogram.