Simplify the expression

Simplify The Expression

Answers

Answer 1

Answer:

           f(y) = y            g(y) = y - 6

Step-by-step explanation:

[tex]\dfrac{y^2+6y}{y^2-36}\qquad\qquad\qquad\qquad y\ne6\,,y\ne-6 \\\\ \\\dfrac{y^2+6y}{y^2-36}=\dfrac{y\cdot y+6\cdot y}{y^2-6^2}=\dfrac{y(y+6)}{(y+6)(y-6)}=\dfrac{y}{(y-6)}\\\\\\f(y)=y\\\\g(y)=y-6[/tex]


Related Questions

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x=y+8 and x=5y+12 *

Answers

Answer:

(7, - 1)

Step-by-step explanation:

[tex]x = y + 8.....(1) \\ \\ x = 5y + 12....(2) \\ \\ from \: equations \: (1) \: and \: (2) \\ \\ 5y + 12 = y + 8 \\ \\ 5y - y = 8 - 12 \\ \\ 4y = - 4 \\ \\ y = \frac{ - 4}{4} \\ \\ y = - 1 \\ \\ plug \: y = - 1 \: in \: equation \: (1) \\ \\ x = - 1 + 8 \\ \\ x = 7 \\ \\ (x, \: y) = (7, \: - 1)[/tex]

Answer:

(7, - 1)

Step-by-step explanation:

ron wants to buy a video game with a selling price of ​$60​, on sale for​ 50% off. The sales tax in 4.5% state is . How much will he have to pay in​ all? If has ​$34​, can he afford to purchase the​ game?

Answers

Answer:

Yes, he can.

Step-by-step explanation:

To find the sale, you need to times the sale percentage by the original price so

60 x 0.50 = 30

Then you subtract the original price by the sale price so

60 - 30 = 30

So the with the sale, the price is $30.

Now the tax

Do the same

30 x 0.045 = 1.35

Now instead of subtracting you add so

30 + 1.35 = $31.35

Yes, he can afford it.

8. It took Sharon 85 minutes to wash three cars. She spent x minutes on each car and 10 minutes
putting everything away. Solve 3x +10 = 85 to find out how long it took to wash each car.
a. 5.5 minutes
b. 28.3 minutes
c. 25 minutes
d. 31.65 minutes

Answers

Answer:

c. 25 minutes

Step-by-step explanation:

3x + 10 = 85

3x = 85 - 10

3x = 75

x = 25

Brandon used 1 2
3 kg of plant food on his strawberry plants and used 1
4
kg for his tomato plants.
He wants to feed his strawberry plants 2 more times and his tomato plants one more time.
How much plant food will he need?

Answers

Answer:

[tex]5\dfrac{1}{2}\ \text{kg}[/tex]

Step-by-step explanation:

Plant food used on strawberry plants is

[tex]1\dfrac{2}{3}\ \text{kg}=\dfrac{5}{3}\ \text{kg}[/tex]

Plant food used on tomato plants is

[tex]\dfrac{1}{4}\ \text{kg}[/tex]

Feeding the strawberry plants two times means

[tex]\dfrac{5}{3}+2\times\dfrac{5}{3}=\dfrac{5}{3}+\dfrac{10}{3}\\ =\dfrac{15}{3}=5\ \text{kg}[/tex]

Feeding the tomato plants one more time means

[tex]\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{2}{4}\\ =\dfrac{1}{2}\ \text{kg}[/tex]

The plant food he will need is [tex]5+\dfrac{1}{2}=5\dfrac{1}{2}\ \text{kg}[/tex]

Will mark brainlist! Andrea spent $2 to make 10 prints from a photo both. Later, she spent $6 to make 30 prints. Did she get a better deal the first or second time she purchased prints. How do you know?

Answers

Answer:

She got an equally good deal both times

Step-by-step explanation:

[tex]\frac{2}{20}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

[tex]\frac{6}{30}[/tex] can be simplified to make [tex]\frac{1}{5}[/tex]

they are the same

A submarine is at a depth of 100 feet below sea level. Then it starts to dive at a rate of 50 feet per minute. What is the slope?​ I will give brainliest and help you ☻

Answers

Answer:

Independent variable: Time in minutes

Dependent variable: The elevation in feet

Slope: -50

Y-Intercept: -100

Step-by-step explanation:

Just did the assignment

1. What is the probability of an odd outcome?

2. What is the probability of an outcome less than 6?

Answers

Answer:

1. 50%

2.[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

1. The way to approach the probability of rolling an odd number is to start with the total numbers. Therefore, each dice has three even sides and three odd sides. Mathematically - 50% chance of landing on the odd number.

2. You have 'P' which represents probability. "N" which is the given ratio of the number of outcome. (NP) total number of the possible outcome.

P = N / NP

Dice has 6 faces. I.E. 1,2,3,4,5,6

= 6

NP, therefore, is the total number of possible outcome.

Faces less than 6. (1,2,4, and 5)

N = 5

P = N / NP = [tex]\frac{5}{6}[/tex] ; it can't be reduced.

Mr. Gomez needs to rent a moving truck. Company "A" charges $75 plus a $50 a day and Company "B" charges $105 plus $35 a day. Write an equation that can tell after how many days would the price be the same.

Answers

Answer: 75+50x= 105+35x , required equation.

Step-by-step explanation:

Let x = Number of days

Given:  Company "A" charges $75 plus a $50 a day.

Total charge = 75+50x

Company "B" charges $105 plus $35 a day.

Total charge = 105+35x

When both are same , equation becomes

75+50x= 105+35x

So, Required equation: 75+50x= 105+35x

The denominators of a fraction is r more than the numerator. If the numerator is increased by 2 and the denominator is increased by 5 , the fraction obtained is 5/12 . Find the fraction​

Answers

Answer:

please correct your question

Solve the right triangle

Answers

Answer:

JK = 50; IJ = 25√3

Step-by-step explanation:

HAVE: sin ∠J = sin 30° = [tex]\frac{IK}{JK}[/tex]

=> [tex]\frac{IK}{JK}=\frac{25}{JK}=\frac{1}{2}=> JK = 25.2 = 50[/tex]

cos ∠J = cos 30° = [tex]\frac{IJ}{JK}[/tex]

=> [tex]\frac{IJ}{JK}=\frac{IJ}{50}=\frac{\sqrt{3} }{2} => IJ = \frac{\sqrt{3} }{2}.50=25\sqrt{3}[/tex]

The cost to manufacture calculators is represented by the function (). The correct explanation of the statement (17)=225 is:

225 calculators cost $17


3,825 calculators cost $225


17 calculators cost $13.24


17 calculators cost $225

Answers

Answer:

225 Calculators cost $17

Step-by-step explanation:

Since the Function () is Representing the cost, it is logical 17 dollars is the cost, and the 225 is the number of calculators.

Find the area of the circle.

Answers

Answer:

Pie*radius*2 you did not give me the radius

Step-by-step explanation:

Plsss help mee :,) ill give brainlist

Answers

Answer:

3/5, 1, 8/5, 8

Step-by-step explanation:

Answer:

0, 35, 8/5, 8.  I think

Step-by-step explanation:

hope this helps :3

im sorry if im wrong

This​ week, 957 people went to the beach. Last​ week, 1,207 people went to the beach. The number of people who went to the beach fell by what​ percent? Use pencil and paper. Explain how you know whether the answer is greater than or less than​ 25%

Answers

Answer:

Less than 25%

Step-by-step explanation:

1. Find the difference of the two numbers: 1,207 - 957 = 250

decrease = original number - new number

2. Then, divide the decrease by the original number

250/1,207 = 0.207

3. Multiply the answer by 100 to get the percentage

0.207 x 100 = 20.7%

Therefore, the number of people fell by 20.7%

Hence, the answer is less than 25%

Step-by-step explanation:

6x + 21y = 103
-6x + 23y = 51

Answers

Hope that helps you :))

Enter the equation of the line in slope-intercept form.

The line parallel to y =
5/4x + 8 that passes through (−8, 0).

The equation of the line that passes through (−8, 0) is y = ???

Answers

Answer:

5/4x+10

Step-by-step explanation:

What are the angle names given in the picture?

Plzzzz anyone answer I post question but no one answers them but plz anyone answer this time it’s a project and it’s due date is today plz helppp

Answers

Answer:

tbh there are quite a lot of possibilities

I'll just name the properties but not show which angle applies to it cos that's too time consuming

Step-by-step explanation:

vertically opposite angles

interior / exterior alternate angles

corresponding angles

angles on a straight line are supplementary

HELP I DONT UNDERSTAND. I WILL GIVE BRAINLIEST (foolish answers will be reported)

Answers

Answer:

A

Step-by-step explanation:

Please help me, but the answer choices are
A) 4/3 (11) pi
B) V=2/3 (11) pi
C) V=4/3 (11)
D) V=2/3 (11)

Answers

Answer:

B

Step-by-step explanation:

answer is B

and what is ypur grades

Please can anyone simplyfy that and can you tell the steps?​​

Answers

Step-by-step explanation:

Hope I did the way it was required! And helped you somehow!

Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?

Answers

The answer is B = (-1, -5)

Because -1 to 4 is 5 which is the run from
rise/run
So we would apply 2 - 7
Which would be - 5

Give me brainliest if this helped

NEED HELP ASAP!!!! please! 25 points!

Answers

Answer: 2-4= -2

Step-by-step explanation: hope it helps

Answer: (0 + 2) + ( 2 - 4)

Step-by-step explanation:

The sum of two numbers is 100, The difference between the two numbers is 95
workout the two numbers

Answers

Answer:

Let the numbers be x and y

x+y=100

x-y=95

taking x-y=95

x=95+y

x+y=100

95 + y +y = 100

2y=100-95

y=5/2

y=2.5

x=95+y

x=95+2.5

x= 97.5

Hope it helps...............

The two numbers are 97.5 and 2.5.

What is Addition and Subtraction?

Subtraction is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

Let x and y be the two numbers.

The sum is 100 and the difference is 95.

x + y = 100 ⇒ x = 100 - y

x - y = 95

Substituting x = 100 - y in the second equation,

100 - y - y = 95

100 - 2y = 95

2y = 100 - 95

2y = 5

y = 5/2 = 2.5

x = 100 - y = 100 - 2.5 = 97.5

Hence the numbers are 97.5 and 2.5.

Learn more about Addition and Subtraction here :

https://brainly.com/question/29464370

#SPJ2

If a scale drawing of a car is 3 inches and the real car is 15 feet what is the scale and the scale factor

Answers

Answer:

5

Step-by-step explanation: 3x5=15

What is 74.3 in expanded form

Answers

Answer:

70 + 4 + .3

Step-by-step explanation:

Effortless!

70 + 4 + .30 hope this helped!

A t-shirt vendor is thinking about changing the number of t-shirts he brings to an event. Which size should he bring more of?

Answers

Answer:

medium

Step-by-step explanation:

Mediums were sold the most, and this size had the least amount remaining at the end of the event. Hope this helps  

Answer:

medium!! {a p e x :))}

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

Step-by-step explanation:

small: 160/225=0.71*100=71 shirts

medium: 335/375=0.893*100=89 shirts

large: 275/325=0.846153*100=85 shirts

x-large: 125/175=0.714285*100=71 shirts

based on the math above, the medium shirts sell the best, which means that the vendor should bring more of the medium shirts

**A lady came to the market to sell eggs. Her first customer bought 1 2 of all her eggs and 1 2 of an egg. Her second customer bought 1 2 of all the remaining eggs and 1 2 of an egg. Finally, a third customer bought 1 2 of all of her remaining eggs and 1 2 of an egg. At this point she had sold all of the eggs she had brought to the market so she went home. How many eggs did the lady have when she first came to the market?

Answers

Answer:

She had 7 eggs when first went into the market

Step-by-step explanation:

Three times multiply 1/2 and minus 1/2 until you get zero.

7 x 1/2 - 1/2 = 3

3 x 1/2 - 1/2 = 1

1 x 1/2 - 1/2 = 0

Answer:

7

Step-by-step explanation:

I don't know how to solve this question.​

Answers

Answer:

P=Q=R

Step-by-step explanation:

Mark me as brainliest

need help please due soon!

Answers

143 because you multiply by the scale factor of 13

Please help 100 points!!! :)
Who ever answers right first get's brainliest!!! :)

Answers

Answer:

1/7

Step-by-step explanation:

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