The behavior sees the leading coefficient is already positive, then increasing the size of the inputs will simply result in the leading term being even more positively skewed. The line on the graph will start to slope to the right.
<h3>What is the behavior of the graph y=x4−2x3−11x2+12x+36 at each of its zeros?</h3>
The behavior of the graph of the polynomial function f(x) as the variable x approaches either positive or negative infinity represents the end behavior of the function. The final behavior of a polynomial function's graph is determined by the degree of the function as well as the leading coefficient.
Generally, the equation for is zeros mathematically given as
y=x^4−2x^3−11x^2+12x+36
Therefore
(x+2)^2(x-3)^2=0
x=-2
x=3
since the graph attached has a positive leading coefficient and a positive degree
In conclusion, If the leading coefficient is already positive, then increasing the size of the inputs will simply result in the leading term being even more positively skewed. The line on the graph will start to slope to the right.
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The total cost for the group of ten people after discount is 10 t - 0.5 t.
<h3>What is Algebra?</h3>
A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Discount = 5%
Total tickets= 10
We have t represents the cost of one ticket.
So, For 10 person the cost of the ticket = 10t
Now, after discount the price of tickets
= 5% of 10t
= 0.5 t
Hence, the total cost for the group of ten people after discount is 10 t - 0.5 t.
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Answer:
80
Step-by-step explanation:
Insert the values or x and y into the expression.
= 
= 80
Answer:
a. y = -3
b. x = -3
c. z = - 1
d. y = -7
Step-by-step explanation:
a. 5y - 3 = - 18
5y = -18 +3
5y = -15
y = -15/5
y = - 3
b. -3x - 9 = 0
-3x = 9
x = 9/-3
x = -3
c. 4 + 3(z-8)= -23
4 + 3z-24 = -23
3z - 20 = -23
3z = -23 + 20
3z = -3
z = -3/3
z = - 1
d. 1 - 2(y-4) = 5
1 - 2y + 8 = 5
9 - 2y = 5
-2y = 14
y = 14/-2
y = -7
No, certainly not. The slope is undefined if and when the line in question is vertical.
