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2 years ago

Reflect the point (-7, -9) across the x-axis: Then

Mathematics

1 answer:

V125BC [204]2 years ago

8 0

Step-by-step explanation:

Reflecting across the x axis will result in a sign change for. the y component, therefore (-7,-9) becomes (-7,9)

Reflecting across the y axis will result in a sign change for the x component, therefore (-7,-9) becomes (7,-9)

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Describe all of the transformations occurring as the parent function f(x) = x^3 is transformed into g(x) = -0.5(3(x+4))^3 -8

hodyreva [135]

Step-by-step explanation:

The translations of the typical functions are

$y = a(bx + c) + d$

Where a is the vertical translation,

If a is greater than 1 or less than -1, we have a vertical stretch

If a is between -1 and 1 , we have a vertical compressions or shrink.

If a is negative, we have a negative reflection across the x axis.

If b is greater than 1 or less than -1, we have a horizontal compression or shrink

If b is between -1 and 1, we have a horizontal stretch

If b is negative, we have a reflection about the y axis,

If c is negative, we have a translation to the right c units

If c is positive, we have a translation to the left c units

If d is positive, we have a translation upward d units

If d is negative, we have a translation downward d units.

Here in this problem, our parent function is x^3.

So I would do the following transformations.

Reflect about the x axis
Vertical Shrink by a factor of 1/2
Horizontal Shrink by a factor of 3
Shift to the left 4 units
Shift downward 8 units.

4 0

2 years ago

Rose has a playlist with 40 rock songs and 28 country songs. What is the ratio of country songs to rock songs on the playlist?

cupoosta [38]

The answer is 10:7, 10/7, 10 to 7. Whichever it's asking for. As long as you know the ratio is 10 rock songs to 7 country songs.

This problem can be a simple fraction simplification problem. Here's what I mean:

So, we have 40 rock songs and 28 country songs. Let's put that into a fraction:

 $\frac{40}{28}$

To simplify this as much as possible, all we have to do is find the greatest common multiple and divide it by both numbers. the GCF is 4, so all you have to do is divide 40 by 4 and 28 by 4 to get your ratios.

I hope this helped!!

7 0

3 years ago

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You can choose from groups of 2, 3, or 5 balloons, and you can choose to have them tied together with either a red ribbon or a b

vesna_86 [32]

6 different outcomes

5 0

3 years ago

A circle has its center at (0,0) and passes through the point (0,9). What is the standard equation of the circle?

Alexxandr [17]

Answer:

x^2+y^2=9^2

Step-by-step explanation:

The standard equation of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where the center of a circle is (h,k) and r is the radius of the circle. In this case because a circle is equidistant from the center and we have a point where it passes through 9 that means that the radius is 9. However, since the standard equation states that we must write r in the form of $r^2$ this means that $r^2=9^2$ . Therefore by plugging in the values we have:

$(x-0)^2+(y-0)^2=9^2\\\\x^2+y^2=9^2$

7 0

3 years ago

(01.05 MC)

Dennis_Churaev [7]

Answer:

least to greatest : 14/9 , sqrt 7, sqrt 13, sqrt 40, 4^3

Step-by-step explanation:

7 0

3 years ago