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3241004551 [841]
2 years ago
12

Describe the transformation of f(x) = sin x to g(x) = sin x - 17 ?

Mathematics
1 answer:
ankoles [38]2 years ago
5 0

Answer:

f(x) underwent a downward vertical translation to get g(x)

Step-by-step explanation:

here, we want to describe a transformation

Looking at the two equations, we can notice that the difference between the two is the -17

Practically, we have this difference as 17 subtracted from the second equation

what this mean is that there is a downward vertical translation of the first graph by 17 units to get the second graph

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The bottle of 100 would be lowest. $8.13 ÷ 100 lozenges = $0.08 per lozenge

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Is this linear relationship proportional or non-proportional? Y = 5x + 1
Tanya [424]
Plug in numbers in for x. 
If you plug in 0 then you get 1. 1/0 is undefined
If you plug in 1 then you get 6. 6/1 is 6
If you plug in 2 then you get 11. 11/2 is 5.5
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If you plug in 4 then you get 21. 21/4 is 5.25
If you plug in 5 then you get 26. 26/5 is 5.2
It would only be proportional if you got the same answer after dividing each time.
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3 years ago
Trapezoid ABCD is congruent to trapezoid A"B"C"D". Which sequence of transformations could have been used to transform trapezoid
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Step-by-step explanation:

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2 years ago
A student solved for the radius of a circle with a circumference of 12π
padilas [110]

Answer:

Step 4 is incorrect  he did not divide correctly from step3 to step 4

Step-by-step explanation:

The circumference of a circle is

C = 2 * pi *r

We know the circumference is 12 pi

12pi = 2 pi *r

Divide each side by 2 pi

12 pi/2pi = 2pi r/ 2pi

6 = r

From step 3 The student did not cancel the pi in the top and the bottom on the right hand side to isolate r

In step 4 he got 6 =pi r  instead of pi

3 0
3 years ago
Solve and graph the absolute value inequality: |2x + 4| > 14.
Aloiza [94]

Answer:

"number line with open circles on negative 9 and 5, shading going in the opposite directions."

Step-by-step explanation:

Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.

|u|>14 means that the number u has to be greater than 14 or less than -14.  These numbers I describe just now all have a distance greater than 14 from 0.

So |u|>14 implies u>14 or u<-14.

But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.

2x+4>14

Subtract 4 on both sides:

2x    >10

Divide both sides by 2:

x      >5

2x+4<-14

Subtract 4 on both sides:

2x    <-18

Divide both sides by 2:

x      <-9

So our solution is x>5 or x<-9.

Graphing!

~~~~~~~O                                         O~~~~~~~~

-----------(-9)---------------------------------(5)---------------

So we shaded to the right of 5 because our inequality says x is bigger than 5.

We shaded to the left of -9 because our inequality says x is less than -9.

4 0
3 years ago
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