Perform the indicated operation. State the domain restrictions

Perform The Indicated Operation. State The Domain Restrictions

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Domain has all values of x ( think X marks the spot on your domain) so the restrictions come in those cases from the fact that a fraction can NOT have the denominator 0 because dividing by 0 is not allowed.

5.

here x+1 [tex]\neq[/tex] 0 and x+3 [tex]\neq[/tex] 0 so the domain restrictions are x [tex]\neq[/tex] -1 and x[tex]\neq[/tex] -3

to solve you need to factor x^2 -6x-27

you can do it by using  

x^2 - Sx +P = 0 where S= root 1 +root 2 and P = root 1*root2

so in our case Sum has to be 6 and Product -27, what 2 numbers add to 6 and their product is -27? ....-3 and 9; S= -3+9 = 6 and P= -3*9 = -27

it will factor in (x-root 1) (x-root 2)  

x^2 -6x-27 = (x+3)(x-9)

[tex]\frac{(x+3)(x-9)}{x+1} * \frac{x+1}{x+3} =\\[/tex]

simplify x+1 and x+3

x-9


Related Questions

John ran of a mile in 8 minutes. If he continues running at that speed, how long will it take him to run one mile? A) 4 minutes B) 8 minutes C) 12 minutes D) 16 minutes​

Answers

Answer:

The answer is D because, John is gonna keep running the multiples of 8.

Step-by-step explanation:

8X2= 16

A=0.75V−M solve for v

Answers

Answer:

V=1.3(repeating)A+1.3(repeating)M

Help please will mark brainliest

Answers

Answer:

False

Step-by-step explanation:

Line a

y = 5x - 6, it has slope of 5

Line b

x + 5y = 5

Rewrite in slope-intercept form to find its slope:

5y = -x + 5y = -1/5x + 1It has slope of -1/5

Lines have different slopes: 5 and -1/5, therefore are not parallel

Answer:

The answer to the question provided is False.

Step-by-step explanation:

‣We are going to have to find the value of y for line b.

‣We are going to solve its equation.

[tex]x + 5y = 5 \\ \frac{- x \: \: \: \: \: = - x}{ \frac{5y}{5} = \frac{ - x + 5}{5} } \\ y = - \frac{1}{5} x+ 1[/tex]

‣So we have:

[tex]y = 5x - 6 \\ and \\ y = - \frac{1}{5} x + 1[/tex]

‣Remember that a slope is parallel to another slope if it has the same slope.

‣A slope is perpendicular to another slope if it has a negative reciprocal.

‣The slopes we have don't have the same slope, but they are perpendicular.

A recipe calls for 2 1/2 cups of flour. The recipe makes 5 servings. How many cups of flour are needed to make 7 servings?

Answers

Answer:

Step-by-step explanation:If a recipe calls for 2 1/2 cups of flour and you want to make five times the ... However, measuring flour in cups is far from precise and the dish, pie or cake you ... So for example if your recipe with 2 1/2 cups flour calls for 1 cup water when you make a 5 ... If I used 4 cups of flour, how much of the other ingredients are needed

Write a solution to the equation x? = 75 two
ways:
using exponents
using radicals

Answers

b because when you want to make an equation with x2 you need to use radicals

pls answer asap pls pls​

Answers

your answer is b and c :)

Answer:

A

Hindi po ako sigurado po ahhhh

An invertible function is represented by the values in the table.
Which graph shows the inverse of this function?

Answers

Answer:

Graph B

Step-by-step explanation:

Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y.

In this exercise we have to identify the treated inverse function and the graph that corresponds to it, so we have that what corresponds to this is:

Graph B corresponds to the given function.

In this way, the inverse function corresponding to:

[tex]f^{-1}(x)[/tex]

Because th inverse fuction is f^-1(x), you basicaly swap the numbers, all x valuese would equal y. So we will have that the graph that correctly corresponds to this function is graph B.

See more about inverse function at brainly.com/question/5245372

What's the intercepts of the line 4x-3y=17

X[__,__]
Y[__,__]

Answers

Answer: REMEMBER (X, Y)

x(4 1/4, 0)

y(0, -5 2)

Step-by-step explanation:

Find the x-intercept

To find x intercept subtract y equals 0

4 x - 3 × 0 = 17

Any equation multiplied by  0 equals 0

4x - 0 = 17

When adding or subtracting zero quality does not change

4x = 17

Divide both sides of the equation by 4

x = 17/4

Solution

X = 17/4

Alternate form

X = 4 1 / 4, x = 4.25

Find y-intercept

To find y intercepts subtract x equals 0

4 × 0 - 3y = 17

Solve the equation for y

Y = -17 / 3

Solution

y = -17 / 3

Alternate form

y = -5 2 / 3, y = -5.6

Factor:
14y2 + 7y
Your answer should be in the format:
GCF ( )
Do NOT use spaces
Do NOT use capital letters

Answers

Answer:

7y(2y+1)

Step-by-step explanation:

The answer is:
7y(2y+1)
Welcome

Find the inverse of the function f(x) = 2x - 4.

Answers

Answer:

f⁻¹(x) = 1/2 x + 2

Step-by-step explanation:

f(x) = 2x - 4      y=2x - 4

swap x and y:  x = 2y - 4

solve y:   2y = x + 4

y = 1/2 x + 2

Inverse notation:   f⁻¹(x) = 1/2 x + 2

There are 520 marbles in a jar. The ratio of red to yellow marbles is 3:4 and the ratio of yellow to blue marbles is 2:3. What is the total number of yellow and blue marbles?

Answers

Answer:

Step-by-step explanation:

Change the 2/3 to 4/6

Now the ratio becomes 3:4:6

So the number of each is

3x + 4x + 6x = 520

13x = 520

x = 40

Red = 3*40 =      120

Yellow = 4*40 = 160

Blue = 6 * 40  = 240

Total =               520

write the equation of the line perpendicular to y=3/2x+3/2 that passes through the point (-1,2)​

Answers

Answer:

y = -2/3x + 4/3

Step-by-step explanation:

If two lines are perpendicular, the product of their slopes is -1

comparing what we have with the general form;

y = mx + b

The slope of the given equation is 3/2

To get the slope of other;

3/2 * m = -1

3m = -2

m = -2/3

So we want to write the point-slope equation

y-y1 = m(x-x1)

y-2 = -2/3(x + 1)

3y - 6 = -2x -2

3y = -2x -2 + 6

3y = -2x + 4

y = -2/3x + 4/3

y = 2x+3
2x + 5y = 3
SOLVE using substitution please show work !

Answers

Answer:

x= -1

Step-by-step explanation:

2x + 5 (2x+3) =3
2x + 10x + 15 = 3
12x + 15=3
12x=-12
x=-1
y=1

p⁷×p⁴÷p⁵
Palese can Any one can help me In completing this question

Answers

Answer:

the answer p to the 6th power

Step-by-step explanation:

here

p7xp4

p11/p5

p6

Which of the following expressions is equivalent to the expression 1/9 × 27 ?

Answers

Answer:

The answer is 3 :D

pls give brainliest

27*9=3

Is the equation 72 ÷ 6 = 64 ÷ 4 true or false? (2 points)
True
False

Answers

Answer:

True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

72/6=12

64/4=16

PLEASE HELP ASAP I AM WILLING 10 points



You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for NET PAY for this pay period was $

Answers

Answer:

240.62$

Step-by-step explanation:

$9.75 per hour

30 hours

Total earned: 292.5$

Federal income tax (withholding) at 10% --> 29.5$

Social Security tax at 6.2% --> 18.14$

Medicare tax at 1.45% --> 4.24$

292.5 - all taxes = 240.62$

solve 2x²-3x-7=0 using completing the square method​

Answers

Answer:

Use the formula ( b 2 ) 2 in order to create a new term.

Solve for x by using this term to complete the square.

Exact Form: x = ± √ 65 4 + 3 4

Decimal Form: x = 2.76556443 … , − 1.26556443 …

BRAINLIEST! URGENT! If you answer both and leave an explanation, I will mark you brainliest!​

Answers

1. b= 4x/a + 10/a - x


The graph shows how a motorboat travels around a lake. What does the graph most likely show?

Answers

D, it increases then goes at a constant speed

The speed of the boat increases steadily for 10 minutes and travels at a constant speed after 10 minutes.

Option D is the correct answer.

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The x-axis can be assumed as 10 minutes for each unit.

Now,

From the graph, we see that the speed is steadily increasing as the time increases from x= 0 to x = 10.

From x = 10, the line on the graph is horizontal this means, the speed is constant.

Thus,

The speed of the boat increases steadily for 10 minutes and travels at a constant speed.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ2

In a school, 2/3 of the students study a language.
Of those who study a language 2/5 study French
Find the ratio of students who study French to students who do not study French.
Give your answer in its simplest form.

Answers

Answer:

4 : 11

Step-by-step explanation:

Given that:

Fraction of language students = 2/3

Number of students who study French :

2/5 of 2/3

2/5 * 2/3 = 4 /15

Those who do not study French :

Total fraction of entire student :

1 - 4/ 15

(15 - 4) / 15

11/15

Ratio of French to non-french

4/15 : 11/15

4/15 ÷ 11/15

4/15 * 15/ 11

4 / 11

4 : 11

A building is 360 feet tall. On a scale drawing, 1/4 inch = 10 feet. What is the height of the building in the scale drawing?

Answers

Answer:

the answer is 9 inches

360/10=36

36*.25 =9

1. Q1) Which number is missing from this prime factor
tree?

Answers

Answer:

2

Step-by-step explanation:

16

2x8

2x4

2x2

y=x+3 find the inverse

Answers

Answer:

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

Step-by-step explanation:

Sally opens a bank account with $450. If she
earns 4% simple interest per year, how much
interest will she earn in 5 years if she doesn't add
or withdraw any money during that time? Please
type the steps that you use to solve this problem
below.

Answers

Answer: 540

Step-by-step explanation:

450 × .04 = 18

18 × 5 = 90

90 + 450 = *540*

What is the sum or difference of 10 + (-11) + 5 + (-5)?

Answers

Answer:

-1 is the answer

Step-by-step explanation:

Answer: -1

Step-by-step explanation:

10 + (-11) + 5 + (-5)

=10 - 11 + 5 - 5

=10 - 11

= -1

hope this help, if this don't forget to click the " thanks" button! :)

f(x) = 2x2 - 1 What is f(x) when x=2 ?

Answers

Answer:

7

Step-by-step explanation:

To evaluate, substitute x = 2 into f(x), that is

f(2)= 2(2)² - 1 = 2(4) - 1 = 8 - 1 = 7

Need help cant find the right answer for this one

Answers

Step-by-step explanation:

the answer is a

hope it help....

Write the exponent for the expression.2.78

The exponent for the expression is ___

Answers

Answer:

The exponent for the expression is -8

Step-by-step explanation:

12345689 I just need points

Two students are reading a book. Keith reads 6 pages a day. Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. Write a system of equations to represent the situation, using d for days and p for pages.

Answers

Answer:

P = 6d ; P = 5d + 15

Step-by-step explanation:

Given that :

Keith = 6 pages per day

Tameka = 5 pages per day

Tameka has already read 15 pages

If d = Number of days ; p = pages read

Keith :

Pages read, p = pages read per day * Number of days, d

P = 6d

Tameka :

Pages read, p = (pages read per day * Number of days, d) + pages read already

P = 5d + 15

The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

[tex]\\P=6d[/tex]

[tex]P=5d+15[/tex]

What is the system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Two students are reading a book.  Keith reads 6 pages a day. Equation for Keith, where d for days and p for pages can be given as,

[tex]P=6\times d\\P=6d[/tex]

Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,

[tex]P=5\times d+15\\P=5d+15[/tex]

Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,

[tex]\\P=6d[/tex]

[tex]P=5d+15[/tex]

Learn more about the system of equations here;

https://brainly.com/question/13729904

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