Need help with this Algebra sheet

Answer:

\(f^{-1}\left(f(576)\right)=\boxed{576}\)

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

Step-by-step explanation:

The inverse of an invertible function with the domain of all real numbers is obtained by reflecting the original function across the line y = x, which swaps the input and output values of the function. Therefore, (x, y) → (y, x).

Given table:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&-7&11&-13&6&5&-9\\\cline{1-7}\vphantom{\dfrac12}f(x)&7&12&8&-7&13&5\end{array}\)

Inverse function:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&7&12&8&-7&13&5\\\cline{1-7}\vphantom{\dfrac12}f^{-1}(x)&-7&11&-13&6&5&-9\end{array}\)

If we have a function f(x), the inverse function is denoted as f⁻¹(x), and it has the property that f⁻¹(f(x)) = x for all valid inputs x in the domain of f(x).

Therefore:

\(\large\boxed{f^{-1}\left(f(576)\right)=576}\)

The value of f(-7) is the value of f(x) when x = -7. Therefore, reading from the original table, f(-7) = 7.

The value of f⁻¹(-7) is the value of f⁻¹(x) when x = -7. Therefore, reading from the inverse function table, f⁻¹(-7) = 6.

Therefore:

\(\large\boxed{\begin{aligned}f^{-1}(-7)+f(-7)&=6+7\\&=13\end{aligned}}\)

Answer:

45 mph

Step-by-step explanation:

Answer:

Dislike

Step-by-step explanation:

The answer is:

Dislike.

What is dislike?

A feeling of distaste or hostility.

"I dislike Angela because..."

Some synonyms:

Hate, detest, loathe, despise.

I apologize if this is incorrect. I hope you have a lovely day! :)

Answer:

Option D 78.5

Step-by-step explanation:

Circumference= 2*Pi*r

                        = 2 * 3.14 * 12.5

                        = 78.5

The circumference of the circular car tire is 78.5 inches.

Circumference of a circle is defined as the total length of the boundary of the circle.

The concept is same as the perimeter for straight sided figures.

Given that,

Radius of a circular car tire = 12.5 inches

We have to find the circumference.

The given car tire is circular in shape.

The formula to find the circumference of a circular shape is,

Circumference = 2πr, where r is the radius of the circle.

Substituting the given value of r,

Circumference = 2π × 12.5

                         = 25π

Given to use 3.14 for π.

Circumference = 25 × 3.14 = 78.5 inches.

Hence the required circumference of the circular car tire is 78.5 inches.

Learn more about circumference here :

https://brainly.com/question/28757341

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Answer:

460

Step-by-step explanation:

5*46=230 one way but round trip is

230*2=460

Answer:

1: Lowest-77 Higest: 99 Center: 88 Spread: 22

Step-by-step explanation:

Answer:

1)

Lowest: 77

Spread: 77 through 99

Highest: 99

Center: 88

2)

Lowest: 24

Spread: 24 through 84

Highest: 84

Center: 52

Step-by-step explanation:

The spread is just the numbers you are counting to so like in number 1 it is 77 through 99, does that make sense? Hope this helps!

Answer:

I WOULD SAY

Step-by-step explanation:

30

Answer:

42 i believe

Step-by-step explanation:

Answer: \(\huge\boxed{\ x=12 }\)

Step-by-step explanation:

Hi there!

I am going to tell you the steps so that you understand the consept of this question.

    2.  Step 2:Multiply by 1

    3. Step 3:Combine multiplied terms into a single fraction

I am sure you are getting it now just do the following:

     1.Subtract 4 from both sides of the equation.

     2.Simplify.

     3.Subtract  x from both sides of the equation.

     4.Then Simplify.

    5.Multiply all terms by the same value to eliminate fraction denominators.

    6.Simplify agiain

    7.Divide both sides of the equation by the same term

    8.Simplify again

    9. And finally we made it ...Solution

Hope this really does help!

Answer:x=17

Step-by-step explanation:

Set 6x+5+5x-12 equal to 180

Simplify into 11x-7=180

Add 7 to both sides to get 11x=187

Divide both sides by 11 to get x=17

Answer:

The value of x is -17

The 6x+5 angle would be 97-degree angle and the 5x-12 angle would be  a 45-degree angle

I hope this helps.

Answer: y=25x+150

Step-by-step explanation: 1.Pick 2 points from the "trend line"; (0,150) and (4,250) 2. The equation for slope is y2-y1/x2-x1, therefore the slope for this line is 250-150/4-0 which is equal to 25 3. Since one of the points we chose is already the y intercept you do not have to solve for it. If you did need to solve for it, you would just plug it into y=mx+b which would get you 250=25(4)+b and you would solve for b algebraically. Either way you would get a y-intercept of 150.

Answer:

(-2, -6 2/3), (-1, -6 1/3), (0,-6), (1,-5 2/3), (2, -5 1/3)

Step-by-step explanation:

For the values let's use -2,-1,0,1, and 2

The equation we need to use is slope-intercept (y=1/3x-6)

y=1/3(-2)-6

y=-2/3-6

y=-6 2/3

So the point for this one is (-2,-6 2/3)

Next, we'll plug in -1

y=1/3(-1)-6

y=-1/3-6

y=-6 1/3

The point for this one is (-1, -6 1/3)

Now we plugin 0

y=1/3(0)-6

y=0-6

y=-6

the point for this one is (0,-6)

Now we put in 1

y=1/3(1)-6

y=1/3-6

y=-5 2/3

the point is (1, -5 2/3)

Lastly, we plugin 2

y=1/3(2)-6

y=2/3-6

y=-5 1/3

The last point is (2, -5 1/3)

Hope you get a good grade!

Answer:

\(12 + x + 14 = 12 + 14 + x \\ = 26 + x \\ x = - 26\)

Answer:

x+26

Step-by-step explanation:

Let's simplify step-by-step.

12+x+14

Combine Like Terms:

=12+x+14

=(x)+(12+14)

=x+26

Answer:

14.5

Step-by-step explanation:

261/18

Answer:

57

Step-by-step explanation:

( 27 + 19 + 41 + 51 + 29 + 35 + k ) / 7 = 37

202 + k = 37 x 7

202 + k = 259

k = 259 - 202

k = 57

Answer:

K. = 57

Step-by-step explanation:

Answer:

Step-by-step explanation

I hope this is the right answer but i'm pretty sure

4^3 x ^5=1073741824

Answer:

16

explanation:

10+5+5 = 20

5+2+2 = 9

10+5+1 = 16

This is answer of 5 number..

Answer:

Answer:

won: The title of the graph is Baseball Games. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Games Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 1 and 1, 3 and 2, 5 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 14 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 1.8 and 2, 5.6 and 4, 9.2 and 6, 13 and 8, 16.5 and 10, 20.5.

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

i think

Answer:

its b

Step-by-step explanation:

8*5=40

4*5=20/2=10

8*5=40

40+40+10=90

b is 90

Answer:

D) None of the above

Step-by-step explanation:

Let's use process of elimination!

A) Vertical angles are opposite angles formed by two intersecting lines. These two are adjacent, therefore rendering this statement false.

B) Complementary angles are two adjacent angles that add up to 90 degrees. There is no proof that m∠a+∠b=90°, therefore this statement is false.

C) Supplementary angles are two adjacent angles that add up to 180 degrees. Assuming A∈ED, this statement is false as well.

D) None of the answers above are correct.

Hope this helps! :D

<3

Answer:

Slope Is 1/6

Step-by-step explanation:

That's the answer

Answer:

slope = 0.75

Step-by-step explanation:

Answer:

50 customers can be expected to use a shopping cart at a grocery store

Step-by-step explanation:

We can create the equation 2/7 = x/350 (x representing the new number of customers).

We then can do 350/7 which equals 50.

This means that our new equation is 2/7 = 50/350.

Therefore, it is expected that fifty out of three hundred and fifty customers will be expected to use a shopping cart at a grocery store.

Answer:

10. The unit rate would be 32 miles per gallon.

12. The unit rate would be 16/3 or 5 1/3.

14. The unit rate would be 8 cents per can or $0.08 per can.

Step-by-step explanation:

Answer:

10. 32 gallons

12. 5 1/3 grams

14. 8 cents

Step-by-step explanation:

10. The way to do this is simple. You have to view it just like a ratio, with 256 being before the "slash" and 8 being after. Then, you simplify. 8 goes into 256 32 times, so the unit rate is 32/1. 32 miles per 1 gallon. So divide 256 by 32 and you'll get 8.

12. To get this unit rate, we want a 1 in the denominator

4 grams

--------------

3/4 servings

Copy dot flip

4 * 4/3  grams per serving

16/3 grams per serving

5 1/3 grams per serving

14.   4.80/6 = 0.8

hopefully thats right

Answer:

The number of statues = 7/8 × 16 = 14.

Answer:

3. 6 energy points after turn 2

4. 5 energy points after turn 4

no bonus points cause she never reached 10 points