What is the quotient (3x^3 10x^2 10x 4) divided by (x 2)?
1 answer:
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QUESTION 1
The given inequality is
and
.
If (3,-2) is a solution; then it must satisfy both inequalities.
We put x=3 and y=-2 in to both inequalities.
and
.
:True and
:True
Both inequalities are satisfied, hence (3,-2) is a solution to the given system of inequality.
QUESTION 2
The given inequality is
and
.
If (1,4) is a solution; then it must satisfy both inequalities.
We put x=1 and y=4 in to both inequalities.
and
.
:True and
:True
Both inequalities are satisfied, hence (1,4) is a solution to the given system of inequality.
Ans: True
QUESTION 3
The given inequality is
and
.
If (0,-2) is a solution; then it must satisfy both inequalities.
We put x=0 and y=-2 in to both inequalities.
and
.
:False and
:False
Both inequalities are not satisfied, hence (0,-2) is a solution to the given system of inequality.
Ans:False
QUESTION 4
The given inequality is
and
.
If (0,3) is a solution; then it must satisfy both inequalities.
We put x=0 and y=3 in to both inequalities.
and
.
:True and
: True
Both inequalities are satisfied, hence (0,3) is a solution to the given system of inequality.
Ans:True
QUESTION 5
The given system of inequality is
and
.
If (-3,0) is a solution; then it must satisfy both inequalities.
We put x=-3 and y=0 in to both inequalities.
and
.
;True and
:True
Both inequalities are satisfied, hence (-3,0) is a solution to the given system of inequality.
Ans:True
Answer:
A linear function is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
An exponential equation is written as:
y = A*(r)^x
Where A is the initial quantity and r is the rate of growth.
If a and A are both positives, the similar characteristic of both types of functions is that as x increases, then the value of y will also increase. Then both functions are increasing functions.
They are different in how they increase, while a linear function increases at a constant rate, an exponential function increases slow at the beginning and really fast as x increases, as you can see in the image below where we compare the two types of functions, the green one is the linear function, and the blue one is the exponential function.
