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vova2212 [387]
3 years ago
14

. Consider the leading term of the polynomial function. What is the end behavior of the graph? Describe the end behavior and pro

vide the leading term.
-3x5 + 9x4 + 5x3 + 3
Mathematics
2 answers:
adelina 88 [10]3 years ago
6 0
-15+36+15+3=

-15+15=0=

36+ 3=

39
Nutka1998 [239]3 years ago
6 0

Answer:

The end behaviour of this function is -ꝏ when x approaches +ꝏ and +ꝏ when x approaches -ꝏ. The leading term is -3x^5.

Step-by-step explanation:

The end behaviour can be found by taking the limits of function for x approaching +ꝏ and -ꝏ:

lim x→+/-ꝏ (-3x^5+9x^4+5x^3+3)  

To solve the limits it must be factorized the highest term in the polynomial:

lim x→+/-ꝏ {-3x^5*[-3x^5/(-3x^5)+9x^4/(-3x^5)+5x^3/(-3x^5)+3/(-3x^5)]}

By simplifying:

lim x→+/-ꝏ {-3x^5*[1-3/x-5/3x^2-1/x^5)]}

If we first take the limits in the within the square brackets, we will notice than whether the limits approaches +ꝏ or -ꝏ the limits of each of these terms tend to zero due to the denominator is greater than the numerator:

lim x→+/-ꝏ {-3x^5*[1-0-0-0)]}

lim x→+/-ꝏ {-3x^5*[1]}

lim x→+/-ꝏ {-3x^5}

This way we find the leading term. Now taking the positive and negative limits:

lim x→+ꝏ {-3x^5} = -ꝏ

and:

lim x→-ꝏ {-3x^5} = +ꝏ

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Star Wars land encompasses an area of 14.0 acres. [1.00 acre = 4046.86m2]. If Star Wars land were made into a circle, what would
Free_Kalibri [48]

Answer:

<h3>The answer is 134.29 m</h3>

Step-by-step explanation:

First of all we need to convert 14.0 acres to m²

1.00 acre = 4046.86 m²

14.0 acres = 14 × 4046.86 = 56656.04 m²

Area of a circle = πr²

where

r is the radius

To find the radius substitute the value for the area into the above formula and solve for the radius

That's

56656.04 = \pi {r}^{2}

Divide both sides by π

We have

{r}^{2}  =  \frac{56656.04}{\pi}

Find the square root of both sides

r =  \sqrt{ \frac{56656.04}{\pi} }

r = 134.29139

r = 134.29 m to 2 decimal places

Hope this helps you

3 0
3 years ago
6) Solve: 7 = x + 12 A) -19 B) -5 C) 4 D) 5
murzikaleks [220]

Answer: B) -5

Step-by-step explanation: all you do is subtract 12 from each side and you will get -5

7 0
3 years ago
Read 2 more answers
Find the 4th term <br><br> Thank you in advance
shepuryov [24]
B1 = 2
b2 = (b1)^2 + 1 = 2^2 + 1 = 5
b3 = (b2)^2 + 1 = 5^2 + 1 = 26

b4 = (b3)^2 + 1 = 26^2 + 1 = 676+1=<span>677</span>
7 0
3 years ago
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How do you answer c - 8 = 5?​
Iteru [2.4K]

Answer:

c=13

Step-by-step explanation:

c-8=5

Add 8 to each side

c-8+8 = 5+8

c=13

8 0
3 years ago
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Beth says that the graph of g(x) = + 1 is a translation of 5 units to the left and 1 unit up of f(x) = . She continues to explai
Nata [24]

Beth's description of the transformation is incorrect

<h3>Complete question</h3>

Beth says that the graph of g(x)=x-5+1 is a translation of 5 units to the left and 1 unit up of f(x) = x. She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x). Is Beth's description of the transformation correct? Explain

<h3>How to determine the true statement?</h3>

The functions are given as:

g(x) = x - 5 + 1

f(x) = x

When the function f(x) is translated 5 units left, we have:

f(x + 5) = x + 5

When the above function is translated 1 unit up, we have:

f(x + 5) + 1 = x + 5 + 1

This means that the actual equation of g(x) should be

g(x) = x + 5 + 1

And not g(x) = x - 5 + 1

By comparison;

g(x) = x - 5 + 1 and g(x) = x + 5 + 1  are not the same

Hence, Beth's description of the transformation is incorrect

Read more about transformation at:

brainly.com/question/17121698

#SPJ1

7 0
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