Consider this product. x^2-4x-21/3x^3+6x x^2+8x/x^2+11x+24 Which values are excluded values for the product?

Consider This Product. X^2-4x-21/3x^3+6x X^2+8x/x^2+11x+24 Which Values Are Excluded Values For The Product?

Answers

Answer 1

Using the domain, it is found that x = -8 is excluded for the product.

The domain of a function is the set that contains all possible input values.

In a fraction, the denominator cannot be 0.

In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.

For the first fraction, they are:

[tex]3x^2 + 6x = 0[/tex]

[tex]3x(x + 2) = 0[/tex]

[tex]3x = 0 \rightarrow x = 0[/tex]

[tex]x + 2 = 0 \rightarrow x = -2[/tex]

Hence, x = -2(not an option) is excluded.

x = 0 can be factored with the numerator of the second fraction, so not excluded.

For the second fraction, the roots of the denominator are:

[tex]x^2 + 11x + 24 = 0[/tex]

Which is a quadratic equation with coefficients [tex]a = 1, b = 11, c = 24[/tex], hence:

[tex]\Delta = b^2 - 4ac = 11^2 - 4(1)(24) = 121 - 96 = 25[/tex]

[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-11 - 5}{2} = -8[/tex]

[tex]x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-11 + 5}{2} = -3[/tex]

x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.

A similar problem is given at https://brainly.com/question/13136492

Answer 2

Answer:

0, -3, -8

Step-by-step explanation:


Related Questions

pls solve Solve. 3/4(x−8) =−1/2
x=−26/3
x = 10
x=22/3

Answers

Answer:

i think its the 3rd option

Step-by-step explanation:

i'd'k what it is but you can read it over and over again

(p.s Brainleist?)

Answer:

x=22/3

Step-by-step explanation:

Solve:

2/5 + 4/10 = ?

BRAINLIEST AND POINTS IF U ANSWER GOOD PLS ANSWERR

A 6/10

B 6/15

C 2/15

D 8/10

Answers

Answer:

Option D is correct.

Step-by-step explanation:

2/5 + 4/10

=> 2/5 + 2/5

=> 4/5

4/5 = 8/10

Therefore, Option D is correct.

Hoped this helped.

Kevin hiked 4 miles in 135 minutes. Which equation can be used to find how many hours it took Kevin to hike the 4 miles?

Answers

Answer:

135 divided by 4

Step-by-step explanation:

What is the estimate for 38? in Estimate roots?

Answers

The square root of 38 rounded up to 5 decimal places is 6.16441.

Hope this help!
It has to be 40 step by step

Find the value of the variables.

Answers

Answer:

x = 56

y = 68

Step-by-step explanation:

Please mark as brain list

Grayson is planning to be out of town for the day, so he asks a friend to dog-sit his 3 dogs.
Each dog eats 0.5 pounds of food every day. If dog food is sold in 12-ounce cans, how many
cans should Grayson leave for the time he is away?

Answers

Answer:

1 12 ounce can would last 18 days, I don't know how long he is planning on leaving his dogs

What is the solution set of (x - 2)(x - 3) = 2?.

Answers

The solution set is X=1 and x=4

HELPPPPPPPPPPPPP

A: equilateral and right
B: equilateral and isosceles
C: isosceles and scalene
D: isosceles and right

Answers

Answer:

C. (I think)

Step-by-step explanation:

So, it is definitely not a right triangle so A and D can step out. And it is not equilateral because all sides are not the same length, that means B is out. It might be C.

Raina's penny bank is  1/4  full. After she adds  360  pennies, it is  5/8  full. How many pennies can Raina's bank hold? ​

Answers

Answer:

960

Step-by-step explanation:

We start with the variable "x". Let's call "x" Raina's penny bank.

After adding 360 pennies, at the end, she has 5/8x, or 5/8.

So we start with

(1/4)x + 360 = 5/8x

Let's subtract 1/4x from both sides

360 = 5/8x - 1/4x

Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8

360 = 5/8x - 2/8x

Now we simplify to get

360=3/8x

Multiply the reciprocal of 3/8 to both sides which is 8/3

360 * 8/3 = x

Answer is 960 pennies.

Therefore Raina's bank hold 960 pennies.

Answer:

we need to get the same number below to make it easier. so 1/4 will be equal to 2/8.

then she adds 360 pennies so it's 5/8 full.

therefore, the 360 pennies = 3/8 full

because 5/8 - 2/8 = 3/8.

now, we need to divide 360/3 so we can get how much pennies when it's 1/8 full.

360 pennies/3 = 120 pennies = 1/8 full.

now to get a full bank we just need to multiply 120 x 8 because 1/8 x 8 = 1 which means a full fraction.

120 pennies x 8 = 960 pennies.

Raina's bank can hold up to 960 pennies.

Rachel, Neil, Caroline share an amount of money.
Rachel gets five time as much money as Neil gets.
Rachel get half as much money as Caroline gets.

what fraction of the amount of money does Rachel get?

Answers

The fraction of the money belonging to Rachel is [tex]\frac{5}{16}[/tex]

Let [tex]R[/tex] be the amount of money Rachel has

Let [tex]N[/tex] be the amount of money Neil has

Let [tex]C[/tex] be the amount of money Caroline has

Let [tex]M[/tex] be the total amount of money shared between the three people

Then, from the problem we have the following relationships

[tex]R+N+C=M\\\\5N=R \implies N=\frac{R}{5}\\\\\frac{C}{2}=R\implies C=2R[/tex]

Substituting the formulae for [tex]N[/tex] and [tex]C[/tex] into the sum [tex]R+N+C=M[/tex], we get

[tex]R+\frac{R}{5}+2R=M\\\\\frac{5R+R+10R}{5}=M\\\\\frac{16R}{5}=M\\R=\frac{5M}{16}[/tex]

Or, we can say that, [tex]R=\frac{5}{16}\text{ of }M[/tex]

Therefore, the fraction of money Rachel gets is [tex]\frac{5}{16}[/tex] of the total amount.

For an additional example of how to solve word problems that involve sharing money among people, see this answered question: https://brainly.com/question/23286685

How do you write 1841.66666667 as money? Where does the 7 go?

Answers

Answer:

We write it as $1841.67 (Rounded)

Step-by-step explanation:

The 7 will round up to the hundredths (0.01) place.

Hoped this helped.

Work out the mean for the data set below:
3.4, 5.2, 4.7, 3.5, 0.5
Give your answer as a decimal.

Answers

Answer:

3.4 + 5.2 + 4.7 + 3.5 + 0.5

= 17.3

There are a total of 5 numbers

17.3 / 5

= 3.46

simplify this addition 20+(-6x)+6x+(-20)​

Answers

Answer:

0

Step-by-step explanation:

20+(-6x)+6x+(-20)=20-6x+6x-20

                            =0

Which equation represents a line that passes through (-9, -3) and has a slope of -6? - = y-9 = -6(x-3) y + 9 = -6(x + 3) y-3 = -6(x-9) O y + 3 = -6(x + 9) = x ​

Answers

Answer:

(y+3)=−6(x+9) ( y + 3 ) = − 6 ( x + 9 )

Step-by-step explanation:

Please help me asap
DO NOT USE LINKS

Answers

1. a = 8

2. b = 7

3. c = -3

4. d = 6

5. e = 1

6. f = 2

A. x=68. y= 75
B. x= 75. v = 68
C. x= 40, y = 68
D. x= 75. y = 70

Answers

Answer:

the answer is B. x=75 y=68

Answer:

B. x = 75, y = 68

Step-by-step explanation:

Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amounts of
time that she worked.

Answers

Constant rates are used to illustrate linear functions.

The average rate of change is $9.0 per hourThe function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]The amount earned in 7.5 hours is $67.5

(a) The average rate of change

This is calculated using:

[tex]\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}[/tex]

[tex]\mathbf{Rate = \frac{9}{1.0}}[/tex]

[tex]\mathbf{Rate = 9.0}[/tex]

Hence, the average rate of change is $9.0 per hour

(b) A function that models the table of values

Let x represent hours, and y represent the earnings.

So, we have:

[tex]\mathbf{y =m (x - x_1) + y_1}[/tex]

Where:

m =Rate = 9.0

So, we have:

[tex]\mathbf{y = 9(x - 2.5) + 22.5}[/tex]

Expand

[tex]\mathbf{y = 9x - 22.5 + 22.5}[/tex]

[tex]\mathbf{y = 9x }[/tex]

Represent as a function

[tex]\mathbf{f(x) = 9x }[/tex]

Hence, the function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]

(c) Amount earned for 7.5 hours

This means that x = 7.5

So, we have:

[tex]\mathbf{f(7.5) = 9 \times 7.5 }[/tex]

[tex]\mathbf{f(7.5) = 67.5}[/tex]

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

https://brainly.com/question/23184115

in a subway, x men and y women travel. explain what is meant by the expression: y-x

Answers

Answer:

Step-by-step explanation:

y - x means the the difference in the number of women compared with men.

So if there are 20 women and 14 men, y - x = 20 -1 4 = 6 ,  that is 6 more women than men.

If there are more men than women then y - x will have a negative value,  and there will be, if we flip the above numbers. 6 more men than women.

A=2a-3b solve for b PLEASE WIKK GIVE BRAINLY

Answers

Answer:

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

Step-by-step explanation:

a = 2a - 3b

→ Minus 2a from both sides

-a = -3b

→ Multiply everything by -1

a = 3b

→ Divide both sides by 3

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

Answer:

b = 2/3a -1/3A

Step-by-step explanation:

A=2a-3b

Subtract 2a from each side

A-2a=2a-2a-3b

A -2a = -3b

Divide each side by -3

A/-3  -2a/-3 = -3b/-3

-A/3 + 2/3a = b

b = 2/3a -1/3A

Which function could be used to represent the sequence 8, 20, 50,

125, 312.5...., given that a, = 8?

(1) a, = 4,- 1 ta

(3) 4, = 4, + 1.5(, -1)

(2) a. = 2.5(

4-1) (4) 4 = (a), -1)

Answers

Answer: a = 2.5 (an-1)

Step-by-step explanation: trust me;)

The function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].

What is geometric progression?

sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is as a geometric sequence of  numbers.

Formula for nth term of geometric progression

[tex]a_{n} =ar^{n-1}[/tex]

Where,

[tex]a_{n}[/tex] is the nth term of the sequence or geometric progression

n is the total number of terms

r is the common ratio

and a is the first term

According to the given question

We have

A geometric progression

8, 20, 50, 125, 312.5

Now the common ratio for the above progression is given by

[tex]r = \frac{20}{8} = 2.5[/tex]

And the first term is

a = 8

Therefore, the function which is used to represent the above sequence is given by

[tex]a_{n} = 8(2.5)^{n-1}[/tex]

Hence, the function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].

Learn more about geometric progression here:

https://brainly.com/question/4853032

#SPJ2

Elizabeth invested $970 in an account paying an interest rate of 6\tfrac{5}{8}6 8 5 ​ % compounded daily. Matthew invested $970 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 ​ % compounded continuously. After 8 years, how much more money would Matthew have in his account than Elizabeth, to the nearest dollar?

Answers

Using continuous compounding and compound interest, it is found that Matthew would have $17 more than Elizabeth in his account.

Compound interest:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

Continuous compounding:

[tex]A(t) = Pe^{rt}[/tex]

The parameters are:

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

For both of them:

Investment of $970, hence [tex]P = 970[/tex]

Invested for 8 years, hence [tex]t = 8[/tex]

Elizabeth:

Compounded daily, hence [tex]n = 365[/tex].

Rate, as a percent, of [tex]6\frac{5}{8} = 6 + \frac{5}{8} = 6.625[/tex], hence [tex]r = 0.06625[/tex].

Then:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(8) = 970\left(1 + \frac{0.06625}{365}\right)^{365(8)}[/tex]

[tex]A(8) = 1648[/tex]

Matthew:

Rate, as a percent, of [tex]6\frac{3}{4} = 6 + \frac{3}{4} = 6.75[/tex], hence [tex]r = 0.0675[/tex].

Then:

[tex]A(t) = Pe^{rt}[/tex]

[tex]A(8) = 970e^{0.0675(8)}[/tex]

[tex]A(8) = 1665[/tex]

The difference is:

1665 - 1648 = 17

Hence, Matthew would have $17 more than Elizabeth in his account.

A similar problem is given at https://brainly.com/question/24507395

Select all the products that are negative.
(–4)(–9)(2)
(–4)(9)
(6)(6)(–2)
(–6)(–6)
(6)(–6)

Answers

Answer:

(–4)(9)

(6)(–6)

(6)(6)(–2)

Step-by-step explanation:

(–4)(–9)(2)

=36(2)

=72, No

(–4)(9)

=-36, Yes

(6)(6)(–2)

=36(-2)

=-72, Yes

(–6)(–6)

=36, No

(6)(–6)

=-36, Yes

$75 is shared between Amy and Mary in the ratio 2:3. Amy's share would be ?

Answers

amys share would be 45:30 so amys is 45 and marys 30

If x=5 and y=3 find the value of x+2y

Answers

Answer:

x=5

y=3

then ,

x+2y= 5+2 *3

= 5+6

= 10

Could you please help me?!

Answers

Answer:

Step-by-step explanation:

Facts to know :

-diagonals of rhombus are angle bisector so angle A is double 28

∡A = 28*2 = 56°

-opposite angles in a rhombus are congruent so angle A and angle C have the same measure

∡C = 56°

-the sum of angles in a rhombus is 360°

360 - 2*56 = 360-112 = 248

248 /2 = 124

∡B = ∡D = 124°

Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)

Step by Step please​

Answers

Answer:

35.113 km per hour is the correct answer

question 8
what does the following expression equal when y = 3
2 x (y - 5)

Answers

Answer:

-4

Step-by-step explanation:

3 - 5 = -2

2 x -2 = -4

Remember BIDMAS (adding this because of character limit)

A staff gauge measures the height of the water level in a river compared to the average water level. At one gauge the river is 1 ft below its average water level of 10 ft. It begins to rise by a constant rate of 1.5 ft per hour.

Will the river reach a level of 7 ft above normal after 5 hours? Explain.

Answers

The river will not reach a level of 7 ft. after 5 hours.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the height of the water level after x hours.

Since the  river is 1 ft below its average water level and  begins to rise by a constant rate of 1.5 ft per hour. Hence:

b = -1, m = 1.5. The equation becomes:

y = 1.5x - 1

To reach a level of 7 ft. That is y = 7:

7 = 1.5x - 1

1.5x = 8

x = 5.3 hours

The river will not reach a level of 7 ft. after 5 hours.

Find out more at: https://brainly.com/question/13911928

Answer:

6.5, will not

Step-by-step explanation:

The water level is 6.5 ft above normal after 5​ hours, so it

will not reach a level of 7 ft above normal after 5 hours.

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:

Parallel

Step-by-step explanation:

So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point

For example use the following equations

y = x + 2  

y = x + 3  

In the graph, these equations are parallel

find the domain below

Answers

Answer:

Interval Notation: [-2, 10]

Set Notation: {x|-2≤x≤10}

Step-by-step explanation:

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