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3 years ago

Which of the following can be the parent function of the graph? Select two of the following that apply.

Mathematics

1 answer:

maks197457 [2]3 years ago

3 0

Answer:

Options c and d

Step-by-step explanation:

Given is a graph with period pi.

ii) The graph is discontinuous

iii) x intercepts are say (a) units to the right of y axis and repeats for every interval of pi.

Fix the function

a) y = sinx cannot be this graph because sinx is a continuous graph

b) y =cosx cannot be this graph because cosx is a continuous graph

e) y = sec x is undefined for the range (-1,1) since the given graph is defined in this interval, secx is not answer.

f)y = csc x is undefined for the range (-1,1) since the given graph is defined in this interval, cscx is not answer.

c) y=tanx is a discontinuous graph at x = odd multiples of pi/2

Hence the given graph can be of the form y =- tan (2x+a) which shows reflection over y axis,

d) y = cotx can also be this graph with adjustments for period and horizontal shift.

So answers are c and d

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Help on questions 37 and 38 please!

jeka94

Answer:

Step-by-step explanation:

38.

$M=\frac{1}{2} (x_{1}+x_{2})\\2M=x_{1}+x_{2}\\x_{1}=2M-x_{2}$

37.

$S=\frac{ab^2}{3} \\3S=ab^2\\b^2=\frac{3S}{a} \\b=\pm\sqrt{\frac{3S}{a} }$

6 0

3 years ago

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by

Tamiku [17]

Answer:

7/8

Step-by-step explanation:

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters.

WE need find which factor is multiplied with radius of sphere A to produce the radius of sphere B

Diameter of sphere B is 42

Radius = diameter /2

Radius = 42/2= 21

Radius of sphere B = 21

RAdius of sphere A times x= radius of sphere B

24 * x= 21

Divide by 24 on both sides

x= 21/ 24

divide top and bottom by 3

x= 7/ 8

5 0

3 years ago

Read 2 more answers

Given h of x equals negative 2 times the square root of x minus 3 end root, which of the following statements describes h(x)?

Yuliya22 [10]

Using translation concepts, it is found that the correct option regarding the function is:

The function h(x) is decreasing on the interval (3, ∞).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

$f(x) = \sqrt{x}$

Which increases on (0, ∞).

The translated function is given by:

$g(x) = -2\sqrt{x - 3}$

With the translation, the domain is now (-3, ∞), and the function is decreasing, hence the correct option is given by:

The function h(x) is decreasing on the interval (3, ∞).

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

8 0

2 years ago

Solve for 0 or x, round to the nearest tenth.

Fittoniya [83]

Answer:

theta = 44.4 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig formulas

cos theta = opposite/ hypotenuse

cos theta = 15/21

Take the inverse of each side

cos^ -1 (cos theta) = cos ^-1 (15/21)

theta =44.4153086

theta = 44.4 degrees

3 0

3 years ago

A sphere has a volume of 133.1m what is the radius of the sphere

Kay [80]

Answer:

3.167353103 meters

Step-by-step explanation:

The volume of a sphere can be found using:

v=4/3πr^3

We know that 133.1 is the volume, so we can substitute 133.1 in for v

133.1=4/3πr^3

To solve for r, we need to get by itself. First, divide both sides by 4/3π

133.1/ 4/3π= 4/3πr^3/ 4/3π

31.7752843883=r^3

Since r is being raised to the 3rd power, take the cubed root of both sides

$\sqrt[3]{31.7752843883}=\sqrt[3]{r^3}$

3.167353103=r

So, the radius is 3.167353103 meters

4 0

3 years ago