(6x^2 + 34x + 25)/(x+5)

Answers

Answer 1

Answer:

divided: 6x+4+(5)/(x+5)

the remainder: 5

Answer 2
Answer:   6x + 4 + (⁵/ₓ ₊ ₅)

Step-by-step explanation:

I like to use long division to work these problems:

                        6x   +  4          

        (x+5)  ║ (6x² + 34x + 25)

                    - (6x  + 30x)   ↓

                                   4x + 25

                               - (4 x + 20)  

                                             5

                     (6x^2 + 34x + 25)/(x+5)  = 6x + 4 with a remainder of 5

  ⇒ (6x² + 34x + 25)/(x+5)  =  6x + 4 + (⁵/ₓ ₊ ₅)

Related Questions

Simplify 5^4/5^3

5^7
5^-1
1/5
1/5^7

Answers

Answer:

5^4-3

by law

a^m÷a^n= a^m-n

What is 4.4 dvided 1.85

Answers

Answer:

2.378378378

Step-by-step explanation:

rounded it would be 2.4

2.378. This is the answer

14 divided by 7,574 I need the answer to be simplified, please

Answers

Answer:

0.0243902439

Step-by-step explanation:

Four students, Amanda, Briana, Courtney, and Diana were given an assignment in their math class to create inequalities with the sme solution set as shown on the graph below.

Answers

The graph of the inequality is drawn by placing a shaded circle at 4 as the starting point of ray pointing towards negative infinity

The students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

Reasons:

Question: The table of the question is presented as follows, and the graph of the inequality is attached

[tex]\begin{array}{|l|l|}\mathbf{\underlie{Amanda}}&-3\cdot x + 5 > -7\\&\\\mathbf{\undrline{Briana}}& \dfrac{1}{2} \cdot (2\cdot x - 4) >2 \\&\\\mathbf{\undrline{Courtney}}&-7\cdot x + 8 > -3 \cdot x +24\\&\\\mathbf{\undrline{Diana}}&9\cdot x - 6 <3 \cdot x+18\end{array}\right][/tex]

Solution:

The inequality with the same solution as the given graph is x < 4

The inequalities created by the students are;

Amanda;

-3·x + 5 > -7

Rearranging the above inequality gives;

-3·x + 5  - 5 > -7 - 5

-3·x > -12

Dividing both sides by (-1) and reversing the inequality sign gives;

[tex]\dfrac{-3 \cdot x}{-3} = x < \dfrac{-12}{-3} = 4[/tex]

x < 4

Therefore;

The solution of the inequality created by Amanda is x < 4, which is the same as the solution set of the graph, and therefore, is appropriate

Briana;

The solution set created by Briana is [tex]\dfrac{1}{2} \cdot (2\cdot x - 4) >2[/tex]

Multiplying both expressions on either side of the equality by 2 gives;

[tex]2\times \dfrac{1}{2} \cdot (2\cdot x - 4) >2\times 2[/tex]

(2·x - 4) > 4

2·x > 4 + 4 = 8

[tex]x > \dfrac{8}{2}[/tex]

Therefore

x > 4

The solution of the inequality created by Briana is x > 4 which is not appropriate for the given graph

Courtney;

The inequality created by Courtney is -7·x + 8 > -3·x + 24

Rearranging gives;

8 - 24  > -3·x + 7·x

-16 > 4·x

4·x < -16

[tex]x < \dfrac{-16}{4}[/tex]

x < -4

Courtney's solution is x < -4, which is not an appropriate solution to the given graph

Diana;

Diana's solution is 9·x - 6 < 3·x + 18

Rearranging, we get;

9·x - 3·x  <  18 + 6

6·x < 24

[tex]x < \dfrac{24}{6}[/tex]

x < 4

Therefor;

Diana's solution is an appropriate solution to the given graph

Therefore, the students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

Learn more here:

https://brainly.com/question/11829187

What can divided 62 and 30

Answers

62- 1,2, 31,62
30-1,2,5,6,10,15,30

Find the missing length of the triangle.
1.5 cm
a
1.2 cm
a =
cm

Answers

Answer:

take the square of 1.5then subtract the square of 1.2 to get the square of the Missing side then get it's square root

what type of number is 40 squared
a. whole number
b. integer
c. irrational
d. rational
(THE ANSWER CAN BE MORE THAN ONE CHOICE)

Answers

Answer:

Step-by-step explanation:

A. C. np


5
an
The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1
centimeter represents 20 kilometers. What is the actual distance between these two cities in
kilometers? hi

Answers

Answer:

(0,2),(1,6),(−2,−6) are solutions

Pls answer this question

Answers

Answer:

648

Step-by-step explanation:

02 =29283 \y8283 862bh7363 sin tag 2836

1. Which two properties are needed to solve the equation 8.5d + 7.5 = 100 + 3?

Distributive property and division property of equality

Subtraction property of equality and division property of equality

Distributive property and collecting like terms property

Addition property of equality and division property of equality

Answers

Answer:

B. Subtraction property of equality and division property of equality

Step-by-step explanation:

Given equation:

8.5d + 7.5 = 100 + 3

Step 1, subtract 7.5 from both sides:

8.5d = 103 - 7.5

Step 2, divide both sides by 8.5:

d = 95.5/8.5

Correct answer choice is B

I need help pls tyvm :)​

Answers

Answer:

16. C

17. B

Step-by-step explanation:

All you have to do is plug in the numbers into the pythagorean theorem. The Pythagorean Theorem is: [tex]a^2+b^2=c^2[/tex] Now I encourage you to try these problems out for yourself and see why they're correct. Doing these will help you solve other propblems like this. Remember the hypotenuse is alays the longest side. ;)

700000x800000000 what is equivalent to 6x+9+-6

Answers

Answer:

If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓

Step-by-step explanation:

6x + 3

Answer:

If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓

Step-by-step explanation:

6x + 3

Pls Help
A sporting goods manufacturer requires 5/6 yd of fabric to make a pair of soccer shorts. How many shorts can be made from 35 yds of​ fabric?

Answers

Answer:

[tex]42[/tex]

Step-by-step explanation:

Another way to look at this question is: We make 5/6 yards of fabric from each pair of shorts. How many shorts do we need to make 35 yards of fabric.

So, we need to solve this equation for [tex]x[/tex]: [tex]x*5/6=35[/tex].

We can multiply both sides of the equation by [tex]6[/tex] to get [tex]x*5=210[/tex].

We then divide by [tex]5[/tex] on both sides to get [tex]x=42[/tex].

So, we can make [tex]\boxed{42}[/tex] pairs of soccer shorts.

Find the value of x.

A) 870
C) 127°
E) 66°
B) 106°
D) 100°

Answers

Answer:

100

Step-by-step explanation:

y  + 140 = 180   {Linear pair}

y = 180 -  140

y = 40

Given triangle is an isosceles triangle.

x + y + y = 180  {angle sum property of triangle}

x +2y = 180

x +2*40 = 180

x + 80 = 180

x = 180 - 80

x = 100

When a number is halved and 5 is added, the result ie 8 more than the original number. Find the number​

Answers

Answer:

It would be 6.

Step-by-step explanation:

6 halved is 3.

3, then 5 added is 8.

May I please receive help?

Answers

Answer:

a) 60°  b) 50°

Step-by-step explanation:

The measurements of a triangles total angles is always equal to 180.

In question a), an Equilateral triangle is shown. Which means all the sides and angles are equal. So you divide 180 by 3, which equals 60.

In question b), an Isoceles triangle is shown. Which means two of the three sides and angles are equal. The other angle is already given: 80.

All you  need to do now is subtract 80 from 180 and divide the diffrence by 2.

So, 180-80=100

     100/2=50

     S=50

     Q=50

I hope this helped! :D

A kindergarten teacher bought $21 worth of stickers and cardstock for his class. The stickers cost $1.50 a sheet and the cardstock cost $3.50 per pack. The equation LaTeX: 1.5s+3.5c=21 represents the relationship between sheets of stickers, LaTeX: s, packs of cardstocks, LaTeX: c, and the dollar amount a kindergarten teacher spent on these supplies.

Answers

Answer:

Done

Step-by-step explanation:

Teacher bought $21 worth of stickers and cardstock for his class.

Cost of stickers = $1.50 per sheet

Cost of 's' sheets = $1.5s

Cost of cardstock = $3.50 per pack

Cost of 'c' packs = $3.5c

Equation representing the relationship between sheet of stickers and packs of cardstocks will be,

1.5s + 3.5c = 21

3.5c = -1.5s + 21

1).  

  y-intercept of the line → (0, 6)

  x-intercept of the line → (14, 0)

  Therefore, equation of the line represents the line on the graph.

2). Vertical intercept (0, 6) represents that he can purchase maximum 6 packs of cardstock with $21.

  Similarly, horizontal intercept (14, 0) represents that he can purchase maximum 14 sheets of stickers with $21.

A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the figure below.

Three of the sides will require fencing and the fourth wall already exists.

If the farmer has 152 feet of fencing, what are the dimensions of the region with the largest area?

Answers

Answer:

where is the figure?? thanks

On Monday, 4 x 10 to the power of 2 people went to Fun World Amusement Park. On Tuesday, there were 3 x 10 to the power of 6 patrons at the amusement park. How many times larger was Tuesday's attendance than Monday's ?

Answers

The Monday and Tuesday attendance are illustrations of proportions.

Tuesday's attendance is larger than Monday's 7500

The given parameters are:

[tex]\mathbf{Monday = 4 \times 10^2}[/tex]

[tex]\mathbf{Tuesday = 3 \times 10^6}[/tex]

The number of times (n) the Tuesday attendance is larger than Monday's is:

[tex]\mathbf{n = \frac{Tuesday}{Monday}}[/tex]

So, we have:

[tex]\mathbf{n = \frac{3 \times 10^6}{4 \times 10^2}}[/tex]

[tex]\mathbf{n = 0.75 \times 10^{6-2}}[/tex]

[tex]\mathbf{n = 0.75 \times 10^{4}}[/tex]

[tex]\mathbf{n = 7500}[/tex]

Hence, Tuesday's attendance is larger than Monday's 7500

Read more about proportions at:

https://brainly.com/question/21126582

Two angles are supplementary if their sum is 180". The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find
the measure of each angle
Please help give the smaller and bigger angle measure

Answers

Answer:

Step-by-step explanation:

2 angles are supplementary if their sum is 180 degrees. The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. I have the answer but do not know how to get it 43 degrees & 137 degrees

Let the smaller angle be x

The larger angle will be 3x+8

X+3x+8=180

4x=180-8=172

X=172/4

X=43

3*43+8= 137

Your Aunt Yvonne is shopping for flower pots at the local
garden store.
2 pots = 24 cm
4 pots = 32 cm

Answers

The equation which relates the height of the flower pot based on the number of pots is 4a + 16

Creating a system of linear equations based on the information given :

a = number of flower pots

b = height of base

4a + b = 32 - - - - - (1)

2a + b = 24 - - - - - (2)

From (2)

2a + b = 24

Make b the subject ;

b = 24 - 2a - - - - (3)

Put b = 24 - 2a in (1)

4a + 24 - 2a = 32

4a - 2a + 24 = 32

2a = 32 - 24

2a = 8

a = 8/2

a = 4

From (3) :

b = 24 - 2(4)

b = 24 - 8

b = 16

The equation which relates the height of a flower pot is 4a + 16

Learn more :https://brainly.com/question/18796573

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

A. 5y = 45.00; y = 9.00

Step-by-step explanation:

Step 1:

There are 5 friends in total and since we don't know how much money each of them contributed to the total amount ($45.00), we will substitute it with the variable y.

So, the amount of money the friends contributed is 5y.

The total amount of all the friends' money put together is given; $45.00.

So 5y = 45.00

______________

Step 2:

Divide 45.00 by 5 to find out how much each of the five friends contributed individually;

45.00 ÷ 5 = 9.00

So the amount of money the each friend contributes individually/ have to spend to buy a present for her individually is $9.00.

y = 9.00

______________

Model it:

5y = 45.00; y = 9.00

______________

Hope this helps! :)

Graph the inequality on the number line

B>-9 graph

Answers

Answer:

-9=9

Step-by-step explanation:

that the answer I think

AB || DE. Calculate the value of angle x°.​

Answers

Answer:

23 maybe because there is a 90 degree angle

Answer:

sorry sorry for bad hand writing

but u are right it is 153 degree

pls make me brainiliest

(sinα+cosα)^2−(sinα−cosα)^2​

Answers

Answer:

Error

Step-by-step explanation:

The answer is Error u might want to ask ur teacher

how do I convert Fahrenheit to Celsius? my homeschooling program does a very confusing job at explaining things.​

Answers

Answer:

start with your fahrenheit then Subtract 32 then divide by 1.8

Step-by-step explanation:

I need help with this

Answers

Answer:-40 - 180=-220

Step-by-step explanation:

water is 0 so when subtracting it will be negative.

the answer is -220 because of how deep the submarine is.

you will keep subtracting the farther down you go.

-2(x + 3) = -2(x + 1) - 4​

Answers

i’m working on something like that now

Answer:

infinite solution

Step-by-step explanation:

-2 times x is -2x

-2 times 3 is -6

-2 times x is -2x

-2 times 1 is -2

the equation now looks like this:

-2x-6=-2x-2-4

Simplify

-2x-6=-2x-6

0=0

So this is an infinite solution

Hope this helps!

6/7 divided by 9/14 simplify help me plsss!

Answers

Answer: 3/4

Step-by-step explanation:

9/14 divided by 6/7 is 3/4

Find the reciprocal of the divisor

Reciprocal of 6/7: 7/6

Now, multiply it with the dividend

So, 9/14 divided by 6/7 = 9/14 x 7/6

= 9 x 7 = 63

= 14 x 6 = 84

After reducing the fraction, the answer is 3/4

Hope this helps :)

The division of the fraction 6/7 by 9/15 gives the result 4/3.

To simplify the division of 6/7 divided by 9/14, multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, the reciprocal of 9/14 is 14/9.

Now, rewrite the division as multiplication:

(6/7) * (14/9)

To multiply fractions, multiply the numerators together and the denominators together:

= (6 * 14) / (7 * 9)

= 84/63

Now, divide the numerator and denominator by their greatest common divisor, which is 21:

= (84/21) / (63/21)

= 4/3

Therefore, 6/7 divided by 9/14 simplifies to 4/3.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ6

In 20 seconds, a roller coaster goes up a 100-meter hill, then down 72 meters, and then back up a 48-meter rise. What integer represents the vertical change from the start of the ride for the coaster after the 20 seconds?

Answers

The question is an illustration of arithmetic operations.

The integer that represents the vertical rise is 76

Upward movements are represented with positive, while downward movements are represented with negative.

So, the given parameters are:

[tex]Up = 100m[/tex]

[tex]Down = -72m[/tex]

[tex]Up= 48m[/tex]

The vertical rise is:

[tex]Rise = Up_1 + Down + Up_2[/tex]

So, we have:

[tex]Rise = 100m -72m +48m[/tex]

[tex]Rise = 76m[/tex]

Hence, the integer that represents the vertical rise is 76

Read more about arithmetic operations at:

https://brainly.com/question/15385899

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