What is the value of x? Identify the missing justifications

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{3-x}{3}[/tex]

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject, that is

y = - 3x + 3 ( add 3x to both sides )

3x + y = 3 ( subtract y from both sides )

3x = 3 - y ( divide both sides by 3 )

x = [tex]\frac{3-y}{3}[/tex]

Change x back into terms of y

[tex]f^{-1}[/tex](x) = [tex]\frac{3-x}{3}[/tex]

Answer:

7.5

Step-by-step explanation:

5 times 8 equals 40

300 divide 40 equals 7.5

to check the answer i use 5 times 8 times 7.5

and the answer is 300.

so my answer is correct

Answer:

-5+9i

Step-by-step explanation:

-2+4i-3+5i=-5+9i

The solution of the expression ( -2 + 4i ) - ( 3 - 5i ) is -5 + 9i.

Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.

Now the given expression is,

( -2 + 4i ) - ( 3 - 5i )

opening the brackets,we have

-2 + 4i - 3 + 5i

Rearranging them by taking alike terms together,

-2 -3 + 4i + 5i

Solving them, we get

-5 + 9i

Hence,the solution of the expression ( -2 + 4i ) - ( 3 - 5i ) is -5 + 9i.

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Step-by-step explanation:

An expression with a single term a monomial, an expression with two terms is a binomial.

a. 3y - monomial

b. (-9) + h = -9 + h = h - 9 - binomial

c. wr + 5wr = 1wr + 5wr = (1 + 5)wr = 6wr - monomial

d. -7agh - monomial

e. 2 - monomial

f. k + 12 - binomial

Answer:

a. monomial

b. binomial

c. binomial

d. monomial

e. monomial

f.  binomial

Step-by-step explanation:

straight from Penn

Answer:

negative 2.5

Step-by-step explanation:

Answer:

b is the anwesr your looking for

Step-by-step explanation:

Answer:

b is it

Step-by-step explanation:

Answer:

The answer would be:

−35831808

Hope this helps.

Answer:

Step-by-step explanation:

(-2)^7 = - 2^7

6^7 = (2×3)^7= 2^7× 3^7

6^7(-2)^7 = (2^7× 3^7 )( - 2^7) = - (2^7×2^7)(3^7 )

6^7(-2)^7 = - 2^14 ×3^7

Answer:

The new function will have a steeper slope

Step-by-step explanation:

Let

x ----> the number of audio books purchased

y ---->the cost of belonging to the club in dollars

we know that

case 1 (Originally)

[tex]y=15x+20[/tex] ----> equation A

case 2 ( the cost per audio book goes up by $1.00)

The new equation is

[tex]y=(15+1)x+20[/tex]

[tex]y=16x+20[/tex]  

The slope of the new function is greater than the slope of the original function    

[tex]16\frac{\$}{audio\ book}>15\frac{\$}{audio\ book}[/tex]

The new function will have a steeper slope

The graph in the attached figure

If the cost per audio book goes up by $1.00, the graph will shift upward by $1.00 for every point on the graph.

The graph represents the cost of belonging to an audio books club as a function of the number of audio books purchased. The x-axis represents the number of audio books and the y-axis represents the total cost. The initial joining fee of $20.00 is a fixed cost and stays the same regardless of the number of audio books purchased. The cost per audio book is $15.00. If the cost per audio book goes up by $1.00, the graph will shift upward by $1.00 for every point on the graph. This means the new function will be a parallel line to the original function, but shifted up by $1.00.

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The answer would be negative 6 or -6.

Hope this helps!

The values for N can be any number between and including -6 and 6, because the phrase 'N is less than 6 units from 0' signifies absolute distance from zero on the number line.

In mathematics, when we say 'N is less than 6 units from 0', we are referring to absolute distance from zero on the number line. That means, N could be any number that falls within the range of -6 to 6, inclusive. This is because the less than 6 units from zero is referring to both directions on the number line. For example, -4 is less than 6 units away from 0, also 5 is less than 6 units away from 0. Thus, the possible values for N are any numbers between and including -6 and 6.

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Answer:

the four point cannot be on the same line , but they have to be on the plane.

A D C E

collinear means on the same line

so ABC

non-coplanar means the point do not lie on the same plane so you can include point F

F A D B

The distance between two numbers is the absolute value of their difference.

Note that the order doesn't matter, since the distance between A and B is the same as the distance between B and A, obviously:

[tex]d=|-4-5|=|-9|=9[/tex]

[tex]d=|5-(-4)|=|5+4|=|9|=9[/tex]

So, the two points are 9 units away.

The distance between the points -4 and 5 on a number line is 9 units, determined by subtracting -4 from 5 according to the rules of addition and subtraction of integers.

The question is asking for the distance between the points -4 and 5 on the number line. In mathematics, to calculate the distance between two points on a number line, we subtract the smaller number from the larger one. In this case, 5 is larger than -4, so we subtract -4 from 5. This involves the rules of addition and subtraction of integers, according to which subtracting a negative number is equivalent to adding the absolute value of that number.

So, to find the distance, we do: 5 - (-4) = 5 + 4 = 9. Following these rules of addition and subtraction of integers, we find that the distance between -4 and 5 on a number line is 9 units.

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Answer:

The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza

Step-by-step explanation:

* Lets explain how to solve the problem

- When we have a quantity we can divided it to many equivalent

 fractions

- Equivalent fractions means fractions equal each other

- We can find the equivalent fraction by multiply or divide the two

 terms of the fraction by the same number

- Ex: We can divide a circle into two equal parts each part is 1/2 the

 circle, if we multiply each term of the fraction by 2 (up and down)

 then we will have 2/4 which is equivalent to 1/2 the circle

- Then we can divide the circle by 2 parts with many equivalent fractions

 1/2 = 2/4 = 3/6 = ..................

* Lets solve the problem

- Rafael wanted to order half a medium pizza

- The medium pizza could be cut into 6 or 8 slices

∵ The half of 6 is 3/6

∵ The half of 8 is 4/8

- Lets simplify the two fraction

∵ 3/6 = 1/2 by dividing up and down by 3

∵ 4/8 = 1/2 by dividing up and down by 4

∴ There is no difference between the two orders, both of them

   equal half the pizza

∴ The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza

Answer:

6 meters by 9 meters

Step-by-step explanation:

Step 1: Formula for perimeter of rectangle

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

Step 2: Find the length and width in terms of x

Width = x

Length = 1.5 times width

Length = 1.5x

Step 3: Find x

Perimeter = 2(length + width)

30 = 2 (1.5x + x)

30/2 = 2.5x

15/2.5 = x

x = 6

Step 4: Find the length and width

Width = x = 6 meters

Length = 1.5x = 1.5(6) = 9 meters

Therefore, the dimensions of the room are 6 meters and 9 meters.

Answer:The dimensions of the room are...

w = 3m

l = 4.5m

Step-by-step explanation:

Write l in terms of w. 1.5w

Write an equation for the perimeter P in terms of w. 5w

Answer:

Save $50 from his paycheck a week

Step-by-step explanation:

there's no following so I'll just write it

answer: steals money

sells everything to get money

Lies about being poor

scams people

demands people give him/her money

Hey!

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

Find Common Denominators:

2/5 = 4/10

Put mixed number to improper fraction:

-1 3/10 = -13/10

Add:

-13/10 + 4/10 = -9/10

Answer:

-9/10

Number Line:

In picture!

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

Hope This Helped! Good Luck!

The solution to the system of equations by substitution is [tex]\( x = -\frac{11}{6} \)[/tex] and [tex]\( y = \frac{7}{6} \)[/tex].

To solve the system of equations by substitution, we can solve one equation for one variable and then substitute that expression into the other equation.

Given the system of equations:

1) [tex]\( -2x + 2y = 6 \)[/tex]

2) [tex]\( 4x + 2y = -5 \)[/tex]

From equation (1), we can solve for [tex]\( y \)[/tex] in terms of [tex]\( x \)[/tex]:

[tex]\[ -2x + 2y = 6 \][/tex]

[tex]\[ 2y = 2x + 6 \][/tex]

[tex]\[ y = x + 3 \][/tex] ... (i)

Now, substitute [tex]\( y \)[/tex] from equation (i) into equation (2):

[tex]\[ 4x + 2(x + 3) = -5 \][/tex]

Expand and solve for [tex]\( x \)[/tex]:

[tex]\[ 4x + 2x + 6 = -5 \][/tex]

[tex]\[ 6x + 6 = -5 \][/tex]

[tex]\[ 6x = -11 \][/tex]

[tex]\[ x = -\frac{11}{6} \][/tex]

Now, substitute [tex]\( x = -\frac{11}{6} \)[/tex] into equation (i) to find [tex]\( y \)[/tex]:

[tex]\[ y = -\frac{11}{6} + 3 \][/tex]

[tex]\[ y = -\frac{11}{6} + \frac{18}{6} \][/tex]

[tex]\[ y = \frac{7}{6} \][/tex]

So, the solution to the system of equations is:

[tex]\[ x = -\frac{11}{6} \][/tex]

[tex]\[ y = \frac{7}{6} \][/tex]

Answer:

The length of the rectangular flower garden is 72 feet and the width is 48 feet

Step-by-step explanation:

Let

L ----> the length of the rectangular flower garden in feet

W ---> the width of the rectangular flower garden in feet

we know that

The perimeter of the rectangular flower garden is

[tex]P=2(L+W)[/tex]

we have that

[tex]P=240\ ft[/tex]

so

[tex]240=2(L+W)[/tex]

Simplify

[tex]120=(L+W)[/tex] -----> equation A

[tex]W=\frac{2}{3}L[/tex] ----> equation B

Substitute equation B in equation A and solve for L

[tex]120=(L+\frac{2}{3}L)[/tex]

[tex]120=\frac{5}{3}L[/tex]

[tex]L=120(3)/5[/tex]

[tex]L=72\ ft[/tex]

Find the value of W

[tex]W=\frac{2}{3}(72)[/tex]

[tex]W=48\ ft[/tex]

therefore

The length of the rectangular flower garden is 72 feet and the width is 48 feet

Answer:

see explanation

Step-by-step explanation:

Given

x² + 4x + 6

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 4x

= x² + 2(2)x + 4 - 4 + 6

= (x + 2)² + 2

This does not reduce to a difference of squares and cannot be factored further

Answer:

7/20=0.35

-23/20=1.15

1/18=0.5 (5 repeating)

-60/22=-2.72 (72 repeating)

The decimal equivalent of each rational number is given below:-

7/20=0.35

-23/20=1.15

1/18=0.5 (5 repeatings)

-60/22=-2.72

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe how numbers are represented in the decimal system.

The decimal numbers will be calculated as below:-

(1) 7/20

Divide 7 by 20 to get the decimal form.

7/ 20 = 0.35

(2) -23/20

Divide -23 by 20 to get the decimal form.

-23/20 = 1.15

(3) 1/18

Divide 1 by 18 to get the decimal form.

1/18 = 0.5555555................

(3) -60/22

Divide -60 by 22 to get the decimal form.

-60/22 = 2.727272.......

Therefore, all the values in the decimal form are calculated above.

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Answer:

it is Horizontal

Step-by-step explanation: A Horizontal line is constantly on a single point on the Y axis this line is on the point 3

Answer is verticle

Step-by-step explanation:

Answer:

you have to replace y with 6 to prove that x = 6

4(x + 6) = 48

4x + 24 = 48

4x = 24

x=6

Answer:

Inductive

Step-by-step explanation:

Answer:

The answer is inductive reasoning.

Step-by-step explanation:

A form of reasoning called Inductive reasoning is the process of forming general ideas and  rules based on your experiences and observations.​

Inductive reasoning takes in account, multiple premises that are believed to be true and combine all these to deduce a specific conclusion.

This is used in usually prediction and forecasting applications.

Answer:

-7 can't have an absolute value if thats not what you meant then im sorry :(

Step-by-step explanation:

Answer:

The absolute value of -7 would be 7. Absolute value is unsigned which means that you remove the signs, even when a number is negative the absolute value is positive. I hope this helped :)

Step-by-step explanation:

Answer:

Smith

Step-by-step explanation:

Woodson has fewer than Smith

Smith>Woodson

Woodson has more than Rodriquez

Smith>Woodson>Rodriguez

Blackburn has fewer then Rodriguez

Smith>Woodson>Rodriguez>Blackburn

Answer:

C

Step-by-step explanation:

Gloria’s time was 2.5 minutes faster.

Richard’s Distance Past the Start Line

Time (minutes)             5      10    15      20     25

Distance (kilometers)  2.8    3.4   4.0    4.6    5.2

Now, as Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line.

So, Gloria’s Distance Past the Start Line would be

Time (minutes)             5       10     15     20    25

Distance (kilometers)  0.6     1.2    1.8    2.4   3.0

Gloria’s time was 2.5 minutes faster.

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Final answer:

To find the combined distance of both trails, add the lengths of the two trails together. One trail is 6.45 miles long and the other is 2.08 miles longer.

Explanation:

To find the combined distance of both trails, we need to add the lengths of the two trails together. We know that one trail is 6.45 miles long, and the other trail is 2.08 miles longer than the first trail. So, the length of the second trail is 6.45 + 2.08 = 8.53 miles. To find the combined distance, we add the lengths of both trails: 6.45 + 8.53 = 14.98 miles.

Answer:

4,500

Step-by-step explanation:

150 x 30

15 x 3 = 45, add 2 0's at end, 4,500

2x+6=x+14

move x to the other side

sign changes from +x to -x

2x-x+6= x-x+14

2x-x+6= 14

x+6=14

move +6 to the other side

sign changes from +6 to -6

x+6-6=14-6

Answer: x= 8

The conversion of 1.888... as a mixed number in the simplest form is [tex]\dfrac{17}{9}[/tex].

The number that repeats itself periodically after decimals is called Repeating numbers.

They are also called recurring numbers or non-repeating numbers.

They may be in a particular pattern or a single number may repeat.

Example :  2.1414141414…….

Assign a variable, x, to the repeating decimal:

x = 1.888........       (1)

Multiply both side by 10 to shift the decimal point:

10x = 18.888...      (2)

Subtract equation 2nd from equation 1st,

10x - x = 18.888... - 1.888...

9x = 17

Divide both sides of the equation by 9, to get the value of x:

[tex]x = \dfrac{17}{9}[/tex]

The simplest form of 1.888... is [tex]\dfrac{17}{9}[/tex].

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