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Studentka2010 [4]

3 years ago

12

One of your aid workers stole doxycycline hyclate tablets. you determine that 7/10ths of the latest shipment of 17,250 tablets w

ere taken. how many tablets do you have left?

1 answer:

Serggg [28]3 years ago

4 0

Is 7/10 was taken then there 3/10 left so .3*17250=5175 tablets left

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The measure of arc XZ is 32°.<br> What is the measure of XYZ?

Irina18 [472]

Answer:

D. 16°

Step-by-step explanation:

An inscribed angle has half the measure of the arc it subtends.

∠Y = (1/2)XZ = (1/2)(32°)

∠Y = 16°

5 0

4 years ago

NO LINKS!!! What is the transformation f(x)= x^3:

Mama L [17]

Answer:

4. Horizontal shrink by a factor of ¹/₅

5. Left 5, Up 5

6. Right 5, Down 5

Step-by-step explanation:

Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

<u>Transformations</u>

For a > 0

$f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}$

$f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}$

$f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}$

$f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}$

$y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a$

$y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}$

$y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}$

$y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}$

Identify the transformations that take the parent function to the given function.

<u>Question 4</u>

$\textsf{Parent function}: \quad f(x)=x^3$

$\textsf{Given function}: \quad f(x)=(5x)^3$

Comparing the parent function with the given function, we can see that the <u>x-value of the parent function</u> has been <u>multiplied</u> by 5.

Therefore, the transformation is:

$y=f(5x) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{5}$

As a > 1, the transformation visually is a compression in the x-direction, so we can also say: Horizontal shrink by a factor of ¹/₅

<u>Question 5</u>

$\textsf{Parent function}: \quad f(x)=x^3$

$\textsf{Given function}: \quad f(x)=(x+5)^3+5$

Comparing the parent function with the given function, we can see that there are a series of transformations:

<u>Step 1</u>

5 has been <u>added to the x-value</u> of the parent function.

$f(x+5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units left}$

<u>Step 2</u>

5 has then been <u>added to function</u>.

$f(x+5)+5 \implies f(x+5) \: \textsf{translated}\:5\:\textsf{units up}$

<u>Transformation</u>: Left 5, Up 5

<u>Question 6</u>

$\textsf{Parent function}: \quad f(x)=x^3$

$\textsf{Given function}: \quad f(x)=(x-5)^3-5$

Comparing the parent function with the given function, we can see that there are a series of transformations:

<u>Step 1</u>

5 has been <u>subtracted from the x-value</u> of the parent function.

$f(x-5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units right}$

<u>Step 2</u>

5 has then been <u>subtracted from function</u>.

$f(x-5)-5 \implies f(x-5) \: \textsf{translated}\:5\:\textsf{units down}$

<u>Transformation</u>: Right 5, Down 5

Learn more about graph transformations here:

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