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Contact [7]
3 years ago
14

The table below shows some inputs and outputs of the invertible function f with domain all real numbers. NEED HELP NOW!!!!!

Mathematics
1 answer:
Serggg [28]3 years ago
4 0

Answer:

( 1 ) f^{-1}(f(576)) = 576,

( 2 ) f^{-1}(-7)+f(-7) = 13

Step-by-step explanation:

Taking the function and it's inverse, it should be the following property -

f^{-1}(f(x))= x - this therefore makes the functionality " f^{-1}(f(576))= x " equivalent to 576 itself.

For this second part here let's consider the portion " f(-7) " firstly. As you can see from the table, - 7 should represent the x - value, hence f(-7) = 7. Now for this second bit here, we have to take the inverse - making the what should have been the x - value, now the f( x ) value. Therefore, f^{-1}(-7) = 6.

This would make f^{-1}(-7)+f(-7) = 7+6 = 13.

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Which statement best explains why the dilation of a triangle produces a similar triangle
Allushta [10]

Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle

<u>Step-by-step explanation:</u>

The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.

  • If | k |> 1, the dilation is an extension.
  • If | k | <1 it is reduction.

The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.

If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.

6 0
3 years ago
A grocer has two kinds of tea, one selling for 80 cents per pound and the other selling for 60 cents per pound. How many pounds
ruslelena [56]
X*80+y*60= 50*74
x      +y      =50            | * ( -60)

80x  + 60y= 50*74
-60x  - 60y=-50*60
---------------------------
20x= 50*(74-60)=50*14
x=50*14/20=35 pounds of 80 cents tea
y=50-35=15 pounds of 60 cents tea
8 0
3 years ago
Which transformations of RST will result in the same image? Check all that apply.
Lelechka [254]

Answer:

I think sentences 1 and 2

Step-by-step explanation:

If triangle translated 2 units left, (x,y)-----(x-2,y)

and then reflected over the y-axis, (x-2,y)-----(-x+2,y)

The relation between image and pilgrimage is (x,y)-----(-x+2,y)

The vertices of image are S(-4,4),T(-1,4), R(-1,1)-----S'(6,4),T'(3,4), R'(3,1)

Therefore the vertices of image are S'(6,4),T'(3,4), R'(3,1).

1. A reflection over the y-axis and then a translation 2 units right is defined as (x,y)-----(-x+2,y)

It is equivalent to relation 1, therefore option 1 is correct.

2. A 180 rotation about the origin, then a translation 2 units right, and then a reflection over the x-axis is defined as (x,y)-----(-x+2,y)

It is equivalent to relation 1, therefore option 2 is correct.

3. A reflection over the y-axis and then a translation 2 units left is defined as  (x,y)-----(-x-2,y)

It is not equivalent to relation 1, therefore option 3 is incorrect.

4. A 180 rotation about the origin, then a translation 2 units left, and then a reflection over the x-axis is defined as (x,y)-----(-x-2,y)

It is not equivalent to relation 1, therefore option 4 is incorrect.

5. A reflection over the x-axis and then a translation 2 units right is defined as (x,y)-----(x+2,-y)

It is not equivalent to relation 1, therefore option 5 is incorrect.]

6. A reflection over the x-axis and then a translation 2 units left is defined as (x,y)-----(x+2,-y)

It is not equivalent to relation 1, therefore option 6 is incorrect.

So for that reason im pretty sure the correct options are 1 and 2.

8 0
3 years ago
100 POINTS PLEASE ANSWER IM BEGGING YOU!!!
Kazeer [188]

Answer:

A (1/7)

Step-by-step explanation:The square root goes into 1 and 49 turning them into 1 and 7, which means it's a real number and u get A.

5 0
3 years ago
Read 2 more answers
Graph the linear equation to -2x+7y=-21
mr Goodwill [35]

Answer:

This equation is in standard form, so to make graphing easier you need to put it in y=mx+b form or slope, intercept form.

Step-by-step explanation:

I have attached a photo of what the graph would look like.

However, in the future you should know how to turn this into a slope intercept equation.

-2x+7y=-21

+2x        +2x

7y=2x-21

divide the entire equation by 7

y= 2/7x-3

That is a full equation in slope intercept form.

Hopefully this helps!

8 0
3 years ago
Read 2 more answers
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