Simplify the following expression.

[tex]\displaystyle{\frac{4x+14}{2}\div\frac{4x+14}{x-6}}[/tex]

Answers

Answer 1

Answer:

[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6} = \frac{x - 6}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Dividing Fractions - KCF (Keep Change Flip)

Keep the 1st fraction the sameChange the sign from division to multiplicationFlip the 2nd fraction (reciprocate)

Algebra I

Terms/CoefficientsDomains

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6}[/tex]

Step 2: Simplify

Divide [KCF]:                    [tex]\displaystyle \frac{4x + 14}{2} \cdot \frac{x - 6}{4x + 14}[/tex]Multiply:                           [tex]\displaystyle \frac{(4x + 14)(x - 6)}{2(4x + 14)}[/tex]Divide:                             [tex]\displaystyle \frac{(x - 6)}{2}[/tex]

Extra:

If we were to graph this, we would need to watch out for domain restrictions or changes because we are combining 2 domains together when 1 of them has a restriction.

Answer 2

Answer:

(x-6)/2

Step-by-step explanation:

Turn the second fraction upside down and multiply two fractions

Simplify The Following Expression.[tex]\displaystyle{\frac{4x+14}{2}\div\frac{4x+14}{x-6}}[/tex]

Related Questions

I need help with this please!!!!! Can someone explain how to solve this step by step please!!!!! It’s due very soon so I need to finish it!!

Answers

Answer:

Is this a test

Step-by-step explanation:

solve the inequality -2z-3<5. what is the value of z?

Answers

Hey there!

The answer to your question is z > -4

We can solve this like it is an equation, with one exception. When you divide or multiply by a negative number, in an inequality, you have to flip the inequality sign.

-2z - 3 < 5           add 3 to both sides

     -2z < 8          divide both sides by -2, and flip the inequality sign

         z > -4      

Good luck! Hope it helps, and have a great day!

Answer:

The answer  is z > -4

but a line down were is the (>)

I ready!

holpe it help

1V1 ME FOR A YOU TUBE VID NAME IS QT ZIHMIR YT

Answers

Answer:

OMG

Step-by-step explanation:

qt zihmir yt

Answer:

thanks for the points I maybe check your yt.

Step-by-step explanation:

Which expression is equivalent?

Answers

The equivalent expression is b)
The second one

Which is the volume of water in the fish tank shown rounded to the nearest
hundredth?

Answers

Answer:

4.69ft³

Step-by-step explanation:

1.5×2.5×1.25=4.69

What is the value of x?

Answers

(X + 5)(x + 4) = (x + 12)(x + 1)
x^2 + 9x + 20 = x^2 + 13x + 12
4x = 8
x = 2

x = 2

A holiday decoration involves blue and white lights.The ratio of blue lights to white lights is 3 to 2 . The box the decoration came in stated that the number of blue lights was 114 but didn't give the number of white lights or the total number of lights.

Answers

Answer:

a. 76 b. 190

Step-by-step explanation:

a. Number of white lights

Since the ratio of blue lights to white lights is 3 to 2 and the number of blue lights is 114, it follows that 3 : 2 = 114 : x where x is the number of white lights.

So, 3/2 = 114/x

cross-multiplying,

3x = 114 × 2

3x = 228

x = 228/3

x = 76

b. Total number of lights

So, the total number of lights is thus number of blue lights + number of white lights = 114 + 76 = 190

a fair 6 sided dice is rolled twice, what is the probability it will land on a 1 both times?

Answers

Answer:

The answer is 1/36

Step-by-step explanation:

The probability that it will land on 1 at any time is 1/6

So for the first time we have 1/6

For the second time, we have 1/6

For the both times, we have

1/6 * 1/6 = 1/36

Which is the solution of this system of equations?
y=5x-8
3y=x+18
Answers:
x=7, y=3 x=4, y=12
x=3, y=7 x=0, y=6

Answers

Answer:y=12

Step-by-step explanation:

Answer:

y=12

Step-by-step explanation:

i hope it was helpful

Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1

Answers

Answer:

y = 3

Explanation:

Any equation of a line that is written as x = # (meaning x equaling whatever number) is vertical on the graph. Therefore, x = -1 is a vertical line. And since x equals -1, all the points on the graph must have an x-value of -1.

We need to find a line that is perpendicular to it - and what would be perpendicular to a vertical line would be a horizontal line. Horizontal lines are represented by the equation y = # (meaning y equaling whatever number). Whatever number is written there is the y-value of all the points the horizontal line intersects.

We know that the line has to pass through (2,3). Therefore, take the y-value of that point - which is 3 - giving us y = 3.

Answer:

w

Step-by-step explanation:

w

Refer to the diagram shown.

Answers

Answer:

60º

Step-by-step explanation:

Carlos wants to rent a car for the particular car you on gentle rental charges 185 per week plus $0.25 per mile driven rental charges a flat fee of 275 per week what is the number of miles driven so that rented from dental rental cause carlos less than renting from rental giant

Answers

Answer:

The indifference point is 360 miles.

Step-by-step explanation:

Giving the following information:

Rental 1:

Total cost= 185 + 0.25*x

x= miles driven

Rental 2:

Total cost= $275

Now, we need to equal both formulas and isolate x:

185 + 0.25x = 275

0.25x = 90

x= 90/0.25

x= 360

The indifference point is 360 miles.

A line passes through the points (1, 10) and (0, 2). What is its equation in slope-intercept
form?

Answers

________the answer is Y=8X+2___________

Step-by-step explanation:

_

Four friends own a carwash, the first total profit in the first month was 438 and two months each other friends had made a profit of 184 they always divide the profits eat equally how much profit did the car wash making the second month?

Answers

Answer:

298

Step-by-step explanation:

given data

total friend = 4

total profit in the first month = 438

two months each friend profit = 184

solution

we consider here total profit second month is = x

so

profit second month = 184 × 4 - 438

x = 736 - 438

x = 298

so that here profit that car wash making the second month is 298

Write a parallel lines and perpendicular lines in the given figure .​

Answers

Answer:

parrallel lines : p and q, a and b,j and k | perpendicular lines : p and a, q and a, p and b, q and b

Step-by-step explanation:

Parallel lines are lines that can go on and on forever, and never meet !

Perpendicular lines are two lines meet at a 90° angle,, to form a right angle !

Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?​

Answers

Answer:

80m - (12+4) = x

Step-by-step explanation:

Hope this helps! I mean its self explanatory

Answer:

$38.75

Step-by-step explanation:

We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.

please help I don’t understand this if you could help me that would be great , thanks!

Answers

Answer:   y = 4x

slope = 4

y intercept = 0

====================================================

Explanation:

Two points on this line are (8,32) and (12,48)

Apply the slope formula to get

m = (y2-y1)/(x2-x1)

m = (48-32)/(12-8)

m = 16/4

m = 4

The slope is 4.

Use a point like (x,y) = (8,32) and the slope we found to determine the y intercept b

y = mx+b

32 = 4*8+b

32 = 32+b

32-32 = 32+b-32 ... subtract 32 from both sides

0 = b

b = 0

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

We found that m = 4 is the slope and b = 0 is the y intercept

We go from y = mx+b to y = 4x+0, which simplifies to y = 4x

In short: the y coordinate is 4 times that of the x coordinate.

For instance, if x = 16, then

y = 4x = 4*16 = 64

Which leads to the point (16,64)

Note: the slope of 4 means it costs 4 dollars per gallon. We can think of this as the unit rate, or rate of change.

Answer:

y = 4x

Step-by-step explanation:

The relation is proportional ⇒ y = kx , k = [tex]\frac{y}{x}[/tex]

~~~~~~~~~~

(8, 32)

(12, 48)

(16, 64)

k = 32 ÷ 8 = 4

y = 4x

what is the formula to calculate velocity?

Answers

Answer:

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

here is a picture.

I hope this helps.

The answer above should be correct , I believe it is . But can you please mark me BRAINLEST?

Jill is buying new appliances. The cost of the dishwasher is $459 and the cost of the microwave is $289. What is the total price including the sales tax of 7%?

Answers

Answer:

$800.36

Step-by-step explanation:

429+289=748

7% of 748= 52.36

748 + 52.36=800.36

The total price of the dishwasher and microwave after the sales tax of 7% will be $800.36.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Jill is buying new appliances.

The cost of the dishwasher is $459 and the cost of the microwave is $289.

The total amount of the dishwasher and microwave will be

Total amount = 459 + 289

Total amount = $748

Then the price of the dishwasher and microwave after the sales tax of 7% will be

Total price = 7% of $748

Total price = 1.07 x $748

Total price = $800.36

Then the total price of the dishwasher and microwave after the sales tax of 7% will be $800.36.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

10. Solve the system of
equations by substitution.
-8x + 2y = 4
y = 4x + 2

Answers

Answer: 4x-y+2=0 i think

Step-by-step explanation

WILL MARK YOU BRAINLIEST HELP WITH BOTH IF YOU CAN

Answers

Answer:

10) 51°

11) 152

Step-by-step explanation:

10) 42 + 9 = 51

11) 45(3.5) + 22(-.25) = 157.5 - 5.5 = 152

Answer:

1. it dropped by 51°F

im not too sure abt number 2

Work needs to be shown please someone help and don’t answer for your benefit with no intention to help

Answers

Answer:

[tex]\frac{x+3}{x+2}[/tex]

Step-by-step explanation:

[tex]\frac{x^2+10x+21}{x^2+9x+14}[/tex]           Factor the expressions that are not already factored.

=

[tex]\frac{(x+3)(x+7)}{(x+2)(x+7)}[/tex]           Cancel out x+7 in both numerator and denominator.

=

[tex]\frac{x+3}{x+2}[/tex]

Brandon has a collection of 400 marbles. Of these marbles, 15% are red, 40% are blue, and the rest are purple. How many marbles in Brandon's collection are purple?

Answers

Answer:180

Step-by-step explanation:

Since 15% of 400=60 and 40%=160 the total of this combined is 220. 400-220=180 which is the amount of purple marbles

CAN SOMEONE PLEASE HELP ME???!!!

Answers

Answer:

D. The graph has a positive rate of change

Step-by-step explanation:

The graph's slope, or rate of change, is positive, which means that D is your answer.

Three students sit in the first row. In the second row, 3 students sit behind each of those students, and so on. Write an expression with exponents to show how many students sit in the third row? How many total students are seated?

Please help, I don't understand this. You get 65 points!

Answers

Answer:

15

Step-by-step explanation:

Dont need an explanation really, but if there are 5 rows, with 3 each in them, all you need to do is 3x5.

15.

What is the sum of the expression below? (9c – 8d) + (2c – 6) + (–d + 3)
A. 11c + 9d – 9
B. 11c – 9d – 3
C. 7c – 7d – 3
D. 7c – 9d + 3

Answers

Answer:

Answer:

11c−9d−3

Step-by-step explanation:

9c−8d+2c−6−d+3

=9c+−8d+2c+−6+−d+3

=9c+−8d+2c+−6+−d+3

=(9c+2c)+(−8d+−d)+(−6+3)

=11c+−9d+−3

Answer--

=11c−9d−3

Simplify the following rational expression.

Answers

Answer:

I did Mental Math and Got 6!

5 times -5 +1 is -9 , -9/2 needs a 4 for the denominator to divide I think and so that would make it -18/4, and -18/4 divided by -3/4 is 6/1 which equals 6.

ZHFJ is complementary with which other angle?
A349
Ав
56°
689
34° ]
124°
ZDEC
ZAEB
ZGFH
ZBEC

Answers

Answer:

BEC°

Step-by-step explanation:

complementary means "to add up to 90°"

90° - 34° = 56°

the Z confused me for a bit, then figured out you tried to type in the angle sign.

Mr. Lincon buys juice and water for the school picnic.A pack of 8 juice boxes costs 5 dollars. A pack of 6 water bottles costs 3 dollars. Mr Lincoln spends 95 dollars for 170 juice boxes and bottles of water

Answers

Is the question to figure out how many boxes of juice and water he’ll get?

Pls Help
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?

Answers

Answer:

Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Step-by-step explanation:

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Answer:

The integer is a positive 4 for golf. Under par should be negative 4.

Step-by-step explanation:

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