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BlackZzzverrR [31]
1 year ago
7

What is the end behavior of h(x)=-5x^4+13x/x^3

Mathematics
1 answer:
VARVARA [1.3K]1 year ago
8 0

The end behavior of h(x)= (-5x^{4} + 13x ) / x³ is both ends will point in the negative direction.

<h3>What is end behavior of function?</h3>

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

We have h(x)= (-5x^{4} + 13x ) / x³

The leading term of this polynomial is  -5x^{4} (it has the highest degree) where the degree is 4 (even) and the leading coefficient is -5 [it is negative.

Since, this function is even, and the leading coefficient is negative, both ends will point in the negative direction.

Learn more about this concept here:

brainly.com/question/27514660

#SPJ1

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which is the equation of the given line in slope-intercept form a. y = -1/4x 1 b. y = -4x 1 c. y = 4x - 1 d. y = 4x 1
Delvig [45]
C. demonstrates an equation given in slope-intercept form because it has the y on one side of the equation and the slope on the other along with the y intercept. 
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3 years ago
Four buses carrying 146 high school students arrive to Montreal. The buses carry, respectively, 32, 44, 28, and 42 students. One
Naily [24]

Answer:

The expected value of X is E(X)=\frac{2754}{73} \approx 37.73 and the variance of X is Var(X)=\frac{226192}{5329} \approx 42.45

The expected value of Y is E(Y)=\frac{73}{2} \approx 36.5 and the  variance of Y is Var(Y)=\frac{179}{4} \approx 44.75

Step-by-step explanation:

(a) Let X be a discrete random variable with set of possible values D and  probability mass function p(x). The expected value, denoted by E(X) or \mu_x, is

E(X)=\sum_{x\in D} x\cdot p(x)

The probability mass function p_{X}(x) of X is given by

p_{X}(28)=\frac{28}{146} \\\\p_{X}(32)=\frac{32}{146} \\\\p_{X}(42)=\frac{42}{146} \\\\p_{X}(44)=\frac{44}{146}

Since the bus driver is equally likely to drive any of the 4 buses, the probability mass function p_{Y}(x) of Y is given by

p_{Y}(28)=p_{Y}(32)=p_{Y}(42)=p_{Y}(44)=\frac{1}{4}

The expected value of X is

E(X)=\sum_{x\in [28,32,42,44]} x\cdot p_{X}(x)

E(X)=28\cdot \frac{28}{146}+32\cdot \frac{32}{146} +42\cdot \frac{42}{146} +44 \cdot \frac{44}{146}\\\\E(X)=\frac{392}{73}+\frac{512}{73}+\frac{882}{73}+\frac{968}{73}\\\\E(X)=\frac{2754}{73} \approx 37.73

The expected value of Y is

E(Y)=\sum_{x\in [28,32,42,44]} x\cdot p_{Y}(x)

E(Y)=28\cdot \frac{1}{4}+32\cdot \frac{1}{4} +42\cdot \frac{1}{4} +44 \cdot \frac{1}{4}\\\\E(Y)=146\cdot \frac{1}{4}\\\\E(Y)=\frac{73}{2} \approx 36.5

(b) Let X have probability mass function p(x) and expected value E(X). Then the variance of X, denoted by V(X), is

V(X)=\sum_{x\in D} (x-\mu)^2\cdot p(x)=E(X^2)-[E(X)]^2

The variance of X is

E(X^2)=\sum_{x\in [28,32,42,44]} x^2\cdot p_{X}(x)

E(X^2)=28^2\cdot \frac{28}{146}+32^2\cdot \frac{32}{146} +42^2\cdot \frac{42}{146} +44^2 \cdot \frac{44}{146}\\\\E(X^2)=\frac{10976}{73}+\frac{16384}{73}+\frac{37044}{73}+\frac{42592}{73}\\\\E(X^2)=\frac{106996}{73}

Var(X)=E(X^2)-(E(X))^2\\\\Var(X)=\frac{106996}{73}-(\frac{2754}{73})^2\\\\Var(X)=\frac{106996}{73}-\frac{7584516}{5329}\\\\Var(X)=\frac{7810708}{5329}-\frac{7584516}{5329}\\\\Var(X)=\frac{226192}{5329} \approx 42.45

The variance of Y is

E(Y^2)=\sum_{x\in [28,32,42,44]} x^2\cdot p_{Y}(x)

E(Y^2)=28^2\cdot \frac{1}{4}+32^2\cdot \frac{1}{4} +42^2\cdot \frac{1}{4} +44^2 \cdot \frac{1}{4}\\\\E(Y^2)=196+256+441+484\\\\E(Y^2)=1377

Var(Y)=E(Y^2)-(E(Y))^2\\\\Var(Y)=1377-(\frac{73}{2})^2\\\\Var(Y)=1377-\frac{5329}{4}\\\\Var(Y)=\frac{179}{4} \approx 44.75

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Isabelle plans to line her flower garden with a decorative border. Her flower bed is 60 inches by 78 inches. The border is sold
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Step-by-step explanation:

I guess, the flower bed is a true rectangle, right ?

so, then, the perimeter of that rectangle is

2×length + 2×width = 2×78 + 2×60 = 156 + 120 = 276 in.

1 ft = 12 in

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that means she will have

40 - 23 = 17 ft left.

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2 years ago
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levacccp [35]

Answer:

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Step-by-step explanation

Because 8 is 8

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3 years ago
Hey, I've been struggling with for a while today and my teacher did a horrible job at explaining. I need help finding the values
Sedaia [141]

Answer:

43°

Step-by-step explanation:

angle 1 and Angle 2 are corresponding angles. app they are equal.

73-2x = 88-3x

x = 15

angle 1 = 73-(2*15) = 43

angle 2 = 88-(3*15) = 43

4 0
3 years ago
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