I NEED HELP WITH QUESTION PLEASE!!
What is the inverse of f(x)
(x) = (x-4)² for x ≥ 4?

Answer:

12, 48

The pattern is: Divide by 2, then multiply by 4

Answer:

x² - 6x + 4

Step-by-step explanation:

Hello!

Factor each term completely:

Common factors that are shown in all 3 terms are x and 3.

Divide each term by 3x:

Combine the terms: x² - 6x + 4

Answer:

Yes you are correct

Step-by-step explanation:

1/3 / 3/5 = 1/3 / M

3*1/3 / 5*3/5 = 3*1/3 / 5M

3/3 / 15/5 = 3/3 / 5M

1/3=1/(5M)

5M * 1/3 = 1

5M * 3 * 1/3 = 1 * 3

5M=3

M=3/5 √

Answer:

less than

Step-by-step explanation:

Answer:

  14

Step-by-step explanation:

You want the number of my cats when that number is "one-half of my cats plus seven".

Let the number of cats be represented by c. Then the description of the number of cats is ...

  c = c/2 +7

Multiplying by 2 gives ...

  2c = c +14

  c = 14 . . . . . . . subtract c

The nemesis has 14 cats.

Answer:

The correct area is 25 square units.

His mistake was that he found the perimeter instead of the area.

Step-by-step explanation:

Area = Length x Width

Area= 5 x 5= 25

His mistake:

Perimeter = length + length + width + width

Perimeter = 5 + 5+ 5+ 5 = 20

Answer:

2+2 = 4

Step-by-step explanation:

Let's visualize this using # signs

we have two groups of two # signs, so let's map that out

##

##

If you count the individual # signs, it is 4. You can also use this model to figure out 2 *2 (4)

I hope this helps :)

Answer:

4

Step-by-step explanation:

2+2

2+1+1

3+1

4

The greatest common factor of 38 and 30 is 2.

It should be noted that thw first step to this method of finding the Greatest Common Factor of 30 and 38 is to find and list all the factors of each number.

Let’s take a look at the factors for each of these numbers, 30 and 38:

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 38: 1, 2, 19, 38

When you compare the two lists of factors, you can see that the common factor(s) are 1, 2. Since 2 is the largest of these common factors, the GCF of 30 and 38 would be 2.

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0.166 is the standard form of that

Answer:

-3

Step-by-step explanation:

Answer:

x-intercepts: (6,0)

y-intercepts: (0,3)

Answer:

B.

Step-by-step explanation:

233% = 2.33

2 2/3 = 2.6

All work and the answer is provided in the screenshot that is attached! :)

Have a great day!

Answer:

coefficient=8

constant=-5

variable=x

Step-by-step explanation:

Answer:

-5 constant

8 coefficient

w variable

Step-by-step explanation:

Using translation concepts, the coordinates of the vertices after a rotation 180º clockwise around the origin is:

S': (-4,-10), R'(-4,-3), U'(-8,-3) and T'(-8,-10).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the coordinates (x,y) of the vertices are given as follows:

S(4,10), R(4,3), U(8,3), T(8,10).

The rule for a rotation 180º clockwise around the origin is:

(x,y) -> (-x,-y).

Hence the vertices of the rotated image will be given as follows, applying the above rule:

S': (-4,-10), R'(-4,-3), U'(-8,-3) and T'(-8,-10).

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The algebraic expressions of the statements are x = 6y - 4 and r = 3 + 2b

Statement 1

The statement is given as

Ramona has 4 less than 6 times as many one dollar bills as Rita has

Let the number of one dollar bills owned by Ramona  be x and the number of one dollar bills made by Rita be y

So, the interpretation of the statement is

x = 6y - 4

Hence, the algebraic expression of the statement is x = 6y - 4

Statement 2

The statement is given as

Robert made 3 more than twice as many baskets as Billy did in the basketball game.

Let the number of baskets made by Robert be r and the number of baskets made by billy be b

So, the interpretation of the statement is

r = 3 + 2b

Hence, the algebraic expression of the statement is r = 3 + 2b

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Answer:

y = x - 11

Step-by-step explanation:

5y + 22 = 5x - 33

5y = 5x - 33 - 22

5y = 5x - 55

y = x - 11

Answer:

the answer is A-x=

Step-by-step explanation:

because if you multiply 3 by 6 you get 27

The number that is six less than the product of three and the difference of the number and eight is; 15

The verbal expression of the equation in the word problem is presented in mathematical form as follows;

Expanding the left hand side gives;

3•x - 3×8 = x + 6

3•x - 24 = x + 6

3•x - x = 24 + 6 = 30

2•x = 30

x = 30/2 = 15

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Answer: -40

Step-by-step explanation:

Answer:

-1/40

Step-by-step explanation:

-3/8x -11+11=4+11

-3/8x=15

-3/8x x=15x

-3/8=15x

15x/15= -3/8/15

x=-1/40

Hope this helps!^^

The function P(x) for the total profit from the production and sale of x toilets is P(x) = 90x - 16600

The given parameters are

Fixed cost = 16600

Variable cost = 67 per toilet

Cost of toilet = 157 per toilet

Let the number of toilets be x

So, the cost function is

C(x) = Fixed cost + Variable cost * Number of toilets

This gives

C(x) = 16600 + 67x

Also, we have the revenue function to be

R(x) = Cost of toilet  * Number of toilets

This gives

R(x) = 157x

The function P(x) for the total profit from the production and sale of x toilets is

P(x) = R(x) - C(x)

So, we have

P(x) = 157x - 16600 - 67x

Evaluate

P(x) = 90x - 16600

Hence, the function P(x) for the total profit from the production and sale of x toilets is P(x) = 90x - 16600

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Two collinear points on a line are given in the table below:

x, y

0 0 (0,0)

2 1 (2,1)

Select the points that lie on the line. and the relationship between the coordinates x and y.

(4,2)

(4, 3)

(7,2)

4/8, 2/8

Answer:

Given that

To find

So, according to the question

We have,

For finding any point that lie on line, first we have to find the slope of given line,

So, we know that

                        slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where,

         x₁ = 0   and x₂ = 2

         y₁ = 0   and y₂ = 1

Now, putting the values, we will get

                         (m) = [tex]\frac{1-0}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]

                           m =  [tex]\frac{1}{2}[/tex]

We know that, the equation of line

     y-y₁ = m(x- x₁ )

     y-0 =  [tex]\frac{1}{2}[/tex] (x- 0)

       y =  [tex]\frac{1}{2}[/tex] x -------------(1)

{ this equation (1) is showing a relationship the coordinates x and y }

For finding which point is lie in that line, this point must be prove that equation (1).

Now, let's check the points

For point (4,2)

y =  [tex]\frac{1}{2}[/tex] x -------------(1)

2 =  [tex]\frac{1}{2}[/tex] × 4

2 = 2

So, point (4,2) lie in this line.

For point (4,3)

y =  [tex]\frac{1}{2}[/tex] x -------------(1)

3 =  [tex]\frac{1}{2}[/tex] × 4

3 ≠ 2

So, point (4,3) not lie in this line.

For point (7,2)

y =  [tex]\frac{1}{2}[/tex] x -------------(1)

2 =  [tex]\frac{1}{2}[/tex] × 7

2 ≠ [tex]\frac{7}{2}[/tex]

So, point (7,2) not lie in this line.

For point ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex])

y =  [tex]\frac{1}{2}[/tex] x -------------(1)

[tex]\frac{2}{8}[/tex] =  [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{8}[/tex]

[tex]\frac{2}{8}[/tex]  = [tex]\frac{2}{8}[/tex]

So, point ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex]) lie in this line.

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the number of pastries that she bake in the afternoon is equal to 312 pastries.

We are given that:

Saffron sells 584 pastries in the whole day and 52 pastries are left at the end of the day.

Now, we will use addition to find the total number of pastries that is being made in the day.

Total pastries = 584 + 52

Total pastries = 636

Now, she bake 324 pastries in the morning.

So, the number of pastries baked in the afternoon = 636 - 324

In afternoon = 312.

Therefore, we get that the number of pastries that she bake in the afternoon is equal to 312 pastries.

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Answer:

6

Step-by-step explanation:

1605 - 75

1530 / 255 = 6

The product or overall change in time for 8 weeks will be 29.33 minutes.

A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.

Given:

After one week, Greg's watch has lost 11/3 minutes. If the watch continues to lose time at the same rate, we can say that the change in time is 11/3 minutes per week.

According to given question we have

(11/3 minutes/week) x (8 weeks) = 29.33 minutes

Therefore, the product or overall change in time for 8 weeks will be 29.33 minutes.

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The First step Linear Expression shows is 5+3/x

An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1. As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.

so when this linear expression 5x + 3 is divided by  x then the first step will be

5 + 3/x

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The 58 m/s initial velocity of the arrow with height, y = 58•t - 0.83•t², gives;

(1) 55.925 m/s

(2) 56.257 m/s

(3) 56.3317 m/s

(4) 56.33917 m/s

(b) 56.34 m/s

Initial velocity of the arrow = 58 m/s

Height of the arrow is; y = 58•t - 0.83•t²

The above kinematic equation can be analyzed as follows;

(1) The height at t = 1 is found as follows;

y = 58 × 1 - 0.83 × 1² = 57.17

Height at t = 1.5 s. is y = 58×1.5 - 0.83×1.5² = 85.1325

Which gives;

Average velocity = (85.1325-57.17)/(1.5-1) = 55.925

The average velocity in the interval [1, 1.5] is therefore;

(2) [1, 1.1]

Height at t = 1.1 s. is y = 58×1.1 - 0.83×1.1² = 62.7957

Which gives;

Average velocity = (62.7957-57.17)/(1.1-1) = 56.257

(3) [1, 1.01]

Height at t = 1.01 s. is y = 58×1.01 - 0.83×1.01² = 57.733317

Which gives;

Average velocity = (57.733317-57.17)/(1.01-1) = 56.3317

The average velocity is 56.33 m/s

(4) [1, 1.001]

Height at t = 1.01 s. is y = 58×1.001 - 0.83×1.001² = 57.22633917

Which gives;

Average velocity = (57.22633917-57.17)/(1.001-1) = 56.33917

(b) The equation for the instantaneous velocity is found as follows;

v = dy/dt = 58 - 2×0.83•t

After 1 second, we have;

t = 1

v = 58 - 2×0.83 × 1 = 56.34

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Answer:

x = 4 - 2y

Step-by-step explanation:

4x + 8y = 16

or, x + 2y = 4

or, x = 4 - 2y

Answer:4-2y

Step-by-step explanation:

Answer:

This is not proportional.

Step-by-step explanation:

If there was no meal delivery cost than it would be proportional.

Answer: 58 sq ft

Step-by-step explanation:

2 * 2 = 4

9 * 6 = 54

54+4=58

Greater because a meter is greater than a millimeter.

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