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Virty [35]
3 years ago
6

The graph of a rational function has local maxima at (-1,0) and (8,0). The complex number 2+3i is a zero of the function. What i

s the least possible degree of this function? (answer choices included)
a. 3
b. 4
c. 5
d. 6
Mathematics
2 answers:
Zina [86]3 years ago
8 0

The answer is 6. That is what I got when I took the quiz

Aneli [31]3 years ago
4 0
Any polynomial's graph cannot have two simultaneous maxima, so they must contain a minima between them. Thus, the total number of turning points of the graph is 3. Generally, when plotting a polynomial, the number of turning points is:
n = d -1; where d is the degree of the polynomial and n is the number of turning points. Thus, this function's degree must be at least 4. The answer is b.
You might be interested in
What is the interquartile range of 77 88 92 81 86 84 86 83 and how do you get it thx plz help
puteri [66]
To find the IQR you first need to write it in numerical order

77, 81, 83, 84, 86, 86, 88, 92


IQR is just Q3 - Q1

Q1 is the middle of the first have, since it has an even set of 4 numbers in the first half you need to take the average of the two middle ones.. which is 82

Q3 done the same process would be 87. 

87 - 82 = 5

IQR = 5
6 0
3 years ago
The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.
evablogger [386]

Answer:

4.4% of the population with IQ between 120 and 125.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.

a) Let X be a person's IQ score.

Then, density functions for IQ scores is given by:

P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{z^2}{2}}\\\\\text{where,}\\\\z = \frac{x-\mu}{\sigma}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-100)^2}{450}}

b) P(population with IQ between 120 and 125.)

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(120 \leq x \leq 125) = P(\displaystyle\frac{120 - 100}{15} \leq z \leq \displaystyle\frac{125-100}{15}) = P(1.33 \leq z \leq 1.66)\\\\= P(z \leq 1.66) - P(z < 1.33)\\= 0.952 - 0.908 = 0.044 = 4.4\%

P(120 \leq x \leq 125) = 4.4\%

6 0
3 years ago
The graph represents the cost of a subscription to a newspaper. A coordinate plane showing Ferry Ride Cost with Number of Person
allochka39001 [22]

Answer:

The constant of variation is $1.50

Step-by-step explanation:

Given

Point 1 (1,2)

Point 2 (5,8)

Required

Constant of Variation

Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.

Having said that,

the constant variation can be solved by calculating the gradient of the graph;

The gradient is often represented by m and is calculated as thus

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)

By substituting values for x1,x2,y1 and y2; the gradient becomes

m = \frac{8 - 2}{5 - 1}

m = \frac{6}{4}

m = \frac{3}{2}

m = 1.50

Hence, the constant of variation is $1.50

7 0
3 years ago
Read 2 more answers
Y: 2x+3+9x+2<br> Simplify this
BARSIC [14]

Answer:

y=16x ??

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
4x-11y=68 ; 6x+5y=-27 by elimination
zimovet [89]

Answer:

x=\frac{1}{2}\\\\y=-6

Step-by-step explanation:

Given the following system of equations:

\left \{ {{4x-11y=68} \atop {6x+5y=-27}} \right.

In order to solve the system of equations using the Elimination Method, you can follow these steps:

- Multiply the first equation by -6 and the secondd equation by 4.

- Add both equations.

- Solve for "y".

Then:

\left \{ {{-24x+66y=-408} \atop {24x+20y=-108}} \right\\.........................\\86y=300\\\\y=\frac{-516}{86}\\\\y=-6

- Substitute the value of "y" into one of the original equations and solve for "x":

6x+5(-6)=-27\\\\6x=-27+30\\\\x=\frac{3}{6}\\\\x=\frac{1}{2}

4 0
3 years ago
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