simplify 4b^ 5 +10b^5

Answers

Answer 1

Answer:

14b^5

Step-by-step explanation:

4b^ 5 +10b^5   (factor out common factor b^5)

= (4+10) b^5

= 14b^5


Related Questions

10 POINTS BOIII
What is the slope of the line on the graph? P.S it's supposed to be a number.

Answers

Answer:

negative 2.5

Step-by-step explanation:

The answer is -2.5.

What is the difference of the complex numbers below?
(-2+5i) - (9+3i)
A. -11+8i
B. 11+2i
C. -11+2i
D. -11-8i

Answers

Answer:

Option c is correct answer

Step-by-step explanation:

See answer in above picture

Answer:

C. -11+2i

Step-by-step explanation:

2x+6=x+14 pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeease

Answers

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

x=8

Explanation:

2x+6=x+14
x+6=14
x=8

Select the correct answer
Which statement correctly compares a sprain to a strain
OA Asprain affects the bone, while a strain does not
OB. A sprain affects a ligament, while a strain does not
OC Sprains and strains use the same grading scale for severity
OD. Sprains and strains are permanent injuries without cures
Reset
Next

Answers

Answer:

b is the anwesr your looking for

Step-by-step explanation:

Answer:

b is it

Step-by-step explanation:

what's the absolute of -7? (|-7|)​

Answers

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:

A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.

Answers

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

Sam is planning to start a pool cleaning business from his home, but has realized that he does not have enough money in savings or credit to pay for the set-up costs and first year of operation. Which of the following would not be a good way for Sam to get the money to start his business?

Answers

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

3 question problem, plz HELP!!!!!!

Answers

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

One trail through the park is 6.45 miles long. Another trail is 2.08 miles longer than the first trail. What is the combined distance of both trails

Answers

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.

Given: 4(x + y) = 48
y = 6
Prove: x = 6​

Answers

48/4=12 12-6=6 so x is 6

Answer:

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

4(x + 6) = 48

4x + 24 = 48

4x = 24

x=6

84.375 as a mixed number

Answers

84 3/8 is the answer.

f(x)=-2x+1; {-2,0,2,4,6} Find the range of the function for the given domain.

Answers

Answer:

For the domain indicated, the range is  {-11, -7, -3, 1, 5}

Step-by-step explanation:

Given the indicated domain of f(x) you have to replace the values in the function to find the range (the "y" values of the function).

f(-2) = 5

f(0) = 1

f(2) = -3

f(4) = -7

f(6) = -11.

So the range for this domain is {-11, -7, -3, 1, 5}

Hence, the range for this domain is [tex](5,1,-3,-7,-11)[/tex].

What is the function?

A  function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

Here given function is [tex]f(x)=2x+1;(-2,0,2,4,6)[/tex].

So,

[tex]f(-2) =- 2(-2)+1\\\\=4+1\\\\=5\\\\f(0) = -2(0)+1\\\\=1\\\\f(2) =-2(2)+1\\\\ =-4+1\\\\=-3\\\\f(4) =-2(4)+1\\\\ =-8+1\\\\=-7\\\\f(6) = -2(6)+1\\\\=-12+1\\\\=-11.\\[/tex]

Hence, the range for this domain is [tex](5,1,-3,-7,-11)[/tex].

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what decimal equivalent of each rational number
7/20
-23/20
1/18
-60/22

Answers

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

What are decimal numbers?

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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Distributive Property- Simplify each expression:

-10x(4 + 6x)

Answers

Answer: =−60x2−40x

Step-by-step explanation:

(−10x)(4+6x)

=(−10x)(4+6x)

=(−10x)(4)+(−10x)(6x)

=−40x−60x2

=−60x2−40x

f(x) = -3x + 3, then
f-1(x) =

Answers

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]

The points -4 and 5 are plotted on a number line. What is the distance, in units, between the two points?

Answers

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.

Final answer:

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.

Explanation:

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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Rafael wanted to order half a medium pizza at a restaurant. The waiter told him that a medium pizza could be cut into 6 or 8 slices. Would he prefer 3 out of 6 or 4 out of 8 slices? Rafael replies that he isn’t very hungry, he would prefer 3 out of 6 slices. Explain what is wrong with Rafael’s reason?

Answers

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

Please answer this correctly

Answers

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

Show that x^2 + 4x + 6 cannot be factorised by completing the square.

Answers

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

A line passes through the two given points. Is it vertical, horizontal, or neither?
(-8, 3), (-7,3)

Vertical
Horizontal
Neither

Answers

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:

The volume of rectangular prism is 300 cubic inches.If the length of the prism is 5 inches and the width is 8 inches.What is the height of the rectangular prism ?

Answers

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

Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much? 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 Gloria’s time was 0.5 minutes faster. Richard’s time was 0.5 minutes faster. Gloria’s time was 2.5 minutes faster. Richard’s time was 2.5 minutes faster.

Answers

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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-2x + 2y = 6 and 4x + 2y= -5 solve by substitution

Answers

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]

If a globe rotates through 150 degrees in 5 seconds, how many rotations does it make in 30

Answers

Answer:

4,500

Step-by-step explanation:

150 x 30

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

Simplify the following expression.

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

Answers

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.

What is simplification?

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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HELP ASAP ILL GIVE YOU BRAINLEST

Answers

Answer:

f(x) = x² + 2x - 3

Step-by-step explanation:

From the graph the zeros are x = - 3 and x = 1

Thus the factors are (x + 3) and (x - 1) and

f(x) = (x + 3)(x - 1) ← distribute using FOIL

     = x² - x + 3x - 3

     = x² + 2x - 3

N is less then 6 units from 0



What is the answer?

Answers

The answer would be negative 6 or -6.

Hope this helps!

Final answer:

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.

Explanation:

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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I'LL GIVE BRAINLIEST HELP
Jim is paid for overtime when he works more than 40 hours per week.
a. Write an expression for the number of hours he works overtime when he works h hours.
b. Find the number of hours Jim works overtime when he works 40, 44, 48, and 52 hours.

Answers

Answer:

a. O = h - 40

b. 0, 4, 8, 12

Step-by-step explanation:

Let numver of overtime hours Jim workes for defined by O.

Standard working hours in a week for Jim = 40 Hours

If Jim is working for h hours then number of overtime hours will be given as difference between total hours he worked and standard working hours in a week.

⇒ O = h - 40

now, if jim has worked for 40, 44, 48 and 52 hours then his over time for all these cases will be

O = 40 - 40 = 0 Hours

O = 44 - 40 = 4 Hours

O = 48 - 40 = 8 Hours

O = 52 - 40 = 12 Hours respectively.

An audio books club charges an initial joining fee of $20.00. The cost per audio book is $15.00. The graph shows the cost of belonging to the club as a function of audio books purchased. How will the graph change if the cost per audio book goes up by $1.00?
(The new function is shown by the dotted line.)

Answers

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

Final answer:

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.

Explanation:

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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4a - b = 3, solve for a​

Answers

Answer: your answer is

7a hope this helps you

Step-by-step explanation:

Answer:

[tex]a=\frac{3}{4} +\frac{b}{4}[/tex]

Step-by-step explanation:

4a - b = 3

    + b + b

4a = 3 + b

Divide 4 on both sides.

[tex]a=\frac{3}{4} +\frac{b}{4}[/tex]

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