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USPshnik [31]
1 year ago
11

What is the behavior of the graph y=x4−2x3−11x2+12x+36 at each of its zeros?

Mathematics
1 answer:
Evgen [1.6K]1 year ago
4 0

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.

Read more about graph

brainly.com/question/16608196

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I got letter C as my answer, is that correct?
lisov135 [29]
Yes it is C if you do the math and simplify it that is what you’ll get
4 0
3 years ago
The width of a rectangle is 5 centimeters less than the length . The area of the rectangle is 36 centimeters.find the length?
Iteru [2.4K]

Answer:

9 centimeters

Step-by-step explanation:

Let the width be represented by l - 5, where l is the length.

Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor

A = lw

36 = l(l - 5)

36 = l² - 5l

0 = l² - 5l - 36

Factor:

(l - 9)(l + 4)

Set equal to zero and solve for both solutions:

(l - 9)(l + 4) = 0

l - 9 = 0

l = 9

l + 4 = 0

l = -4

The length cannot be negative, so the answer has to be 9.

The length is 9 centimeters

7 0
2 years ago
Read 2 more answers
Toby the Tiger makes $25 an hour selling cereal. Write an equation to
gavmur [86]

Answer:

I think it is y=25x

Step-by-step explanation:

Since Tony the Tiger makes $25 an hour, in 2 hours, he would make $50. Both of them, when divided, equal 25, the constant of proportionality.

5 0
3 years ago
Hector took out a small loan of $900 for 15 months. The simple interest rate on the loan was 15%. How much will he pay in intere
Liula [17]
So you have to find 15 percent of 900 which would be 135
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3 years ago
Find the Product and Combine similar terms.<br>1. -1(7+4b) =<br>2. x(x²–2xy+y²) =<br>3. -5x(-3+x) =​
sergejj [24]
-1(7+4b) - distribute the -1 to the expression
(-1 * 7) + (-1 * 4b) — ( + and - = - )when it is multiplied
= -7 - 4b — there is no like term to added to subtracted so it will stay as like

x(x^2 - 2xy+y^2) distribute x to all
= x(x^2) - x(2xy) + x(y^2)
= x^3 - 2x^2y + xy^2 in multiplication exponent add to similar variable
No like term to connect

-5x(-3+x)
= -5x(-3) -5x(+x). (- and - is +)
= 15x -5x. similar variable x so connect the like connect like term by subtracting them
= 10x


3 0
2 years ago
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