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Marrrta [24]
2 years ago
12

3) 14, 9, 20, 5, 17, 13 mean: median: mode: range:​

Mathematics
1 answer:
Korolek [52]2 years ago
7 0

Answer:

mean: 13

range: 15

there is no mode

median: 13.5

Step-by-step explanation:

mean= 14+9+20+5+17+13 = 78

78÷6= 13

range = highest number minus the smallest number

20-5 = 15

the mode is the number that occurs the most

median= 13+14= 27

27÷2 = 13.5

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Which of the following is equivalent to cos x?
Otrada [13]

ANSWER

D) sin Y

EXPLANATION

The given triangle is a right triangle.

This implies that that:

x + y = 90 \degree

Then we have

y= 90 - x

Recall that

\cos(x)  =  \sin(90 - x)

But

90 - x = y

When we do the substitution, we get,

\cos(x)  =  \sin(y)

Therefore cos(x) is a equivalent to sin(y).

The correct answer is D.

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%20-%20%5Cfrac%7Bx%5E%7B2%7D-4%20%7D%7Bx%5E%7B4%7D%20%2Bx%5E%7B3%7D%20-4x%5E%7B2%7D-4%
Llana [10]

a) The given function is

f(x)=\frac{x^2-4}{x^4+x^3-4x^2-4}

The domain refers to all values of x for which the function is defined.

The function is defined for

x^4+x^3-4x^2-4\ne0

This implies that;

x\ne -2.69,x\ne 1.83

b) The vertical asymptotes are x-values that makes the function undefined.

To find the vertical asymptote, equate the denominator to zero and solve for x.

x^4+x^3-4x^2-4=0

This implies that;

x= -2.69,x=1.83

c) The roots are the x-intercepts of the graph.

To find the roots, we equate the function to zero and solve for x.

\frac{x^2-4}{x^4+x^3-4x^2-4}=0

\Rightarrow x^2-4=0

x^2=4

x=\pm \sqrt{4}

x=\pm2

The roots are x=-2,x=2

d) The y-intercept is where the graph touches the y-axis.

To find the y-inter, we substitute;

x=0 into the function

f(0)=\frac{0^2-4}{0^4+0^3-4(0)^2-4}

f(0)=\frac{-4}{-4}=1

e) to find the horizontal asypmtote, we take limit to infinity

lim_{x\to \infty}\frac{x^2-4}{x^4+x^3-4x^2-4}=0

The horizontal asymtote is y=0

f) The greatest common divisor of both the numerator and the denominator is 1.

There is no common factor of the numerator and the denominator which is  at least a linear factor.

Therefore the function has no holes.

g) The given function is a proper rational function.

There is no oblique asymptote.

See attachment for graph.

6 0
2 years ago
The first five terms of a linear sequence are given below. 7 , 12 , 17, 22 , 27 , ... What is the next term of the sequence?
Norma-Jean [14]

Answer:

<h2>32</h2>

Step-by-step explanation:

a_1=7\\a_2=7+5=12\\a_3=12+5=17\\a_4=17+5=22\\a_5=22+5=27\\\\a_6=27+5=32\\a_7=32+5=37\\a_8=37+5=42\\a_9=42+5=47\\\vdots

8 0
2 years ago
If a rectangle has a perimeter of 58 ft and a length of 4 feet what is the width of the rectangle?
faltersainse [42]

Answer:

25ft

Hoped this helped!

5 0
2 years ago
Need a little help with this question please"?
zhuklara [117]
Y= 2x-3/4
M is the slope
B is the y-intercept
3 0
3 years ago
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