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3 years ago

Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.

Mathematics

1 answer:

Alik [6]3 years ago

6 0

Answer:

Option d

Step-by-step explanation:

If the graph of the function $y=cf(x) +b$ represents the transformations made to the graph of $y= f(x)$ then, by definition:

If $0$ then the graph is compressed vertically by a factor c.

If $|c| > 1$ then the graph is stretched vertically by a factor c.

If $c$ then the graph is reflected on the x axis.

If $b> 0$ the graph moves vertically upwards.

If $b$ the graph moves vertically down

In this problem we have the function $y=cscx -9$ and our parent function is $y = cscx$

therefore it is true that $c =1$ and $b =-9 < 0$

Therefore the graph of $y=cscx$ is not stretched vertically and is not reflected. however as $b$ then the graph moves vertically 9 units down. Observe the image

The answer is "vertical translation down 9 units"

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Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.

natta225 [31]

Answer:Yes they are equivalent.

Step-by-step explanation:

3/4a + 8 - 1/4a - 2 1/2(a + 12)

Combine like terms Distributive property

2/4a+6 1/2a+6

2/4=1/2 (simplify)

1/2+6=1/2+6

4 0

3 years ago

HELP!

Readme [11.4K]

Answer: You have a better chance if you do not replace the red marble.

Step-by-step explanation:

The bag has:

5 red marbles

8 blue marbles

4 yellow marbles

3 green marbles

A total of 5 + 8 + 4 + 3 = 20

You want to draw a red marble and then a blue marble.

The probability of drawing a red marble in your first attempt is the number of red marbles divided the total number of marbles:

P1 = 5/20

now you want to draw a blue marble.

If you replace the red marble, you have 20 marbles again in the bag, then the probability of drawing a blue marble is:

P2 = 8/20

The joint probability is P = P1*P2 = (5/20)*(8/20) = 0.1

If you do not replace the red marble, you have 19 total marbles in the bag, then the probability of taking a blue marble is:

P2 = 8/19

The joint probability is:

P = P1*P2 = (5/20)*(8/19) = 0.105

The probability is slightly bigger if you do not replace the red marble.

7 0

4 years ago

Read 2 more answers

Lawrence wants to drive from Durban to Johannesburg 550km. If he travels at an average speed of 100km/hr, how long does he tale

Dafna1 [17]

Answer:

5.5hr

Step-by-step explanation:

Distance=550Km

Speed=100Km/hr

Speed=(Distance/Time)

Time=(Distance/Speed)

Time=550/100=5.5hr

8 0

3 years ago

Read 2 more answers

If your good in math please help me

Feliz [49]

Answer:

350.82

Step-by-step explanation:

To find the surface area, you must add up all of the areas of each shape of the prism in order to get the sum surface area.

The rectangle's area ( $lw$ ):

$7.21*14=100.94$

The triangle's area ( $\frac{1}{2}bh$ ):

$\frac{1}{2} (6)(8)$

$\frac{1}{2} (48)=24$

Now add up all the sides. (3 Rectangles, 2 Triangles.)

$100.94 + 100.94 + 100.94 + 24 + 24$

$=350.82$

The total surface area is 350.82 cm squared.

6 0

3 years ago

Question 4 of 10

ludmilkaskok [199]

Answer:

Option C. 3√3

Step-by-step explanation:

Please see attached photo for brief explanation.

In the attached photo, we obtained the following:

Opposite = a

Adjacent = 3

Hypothenus = 6

Angle θ = 60°

We can obtain the value of 'a' as follow:

Tan θ = Opposite /Adjacent

Tan 60° = a/3

Cross multiply

a = 3 x Tan 60°

But: Tan 60° = √3

a = 3 x Tan 60°

a = 3 x √3

a = 3√3

Therefore, the length of the altitude of the equilateral triangle is 3√3.

5 0

3 years ago