PLEASE HELP!!!!!!!!!!!!!!!!! | For what values of y does the following equation have no solutions for x? | xy + 5y + 4x + 20=1

Answers

Answer 1

Answer:

  y = -4

Step-by-step explanation:

We can solve for x to see.

  x(y+4) +5y +20 = 1

  x(y +4) = -19 -5y . . . . . subtract 5y+20

  x = (-19 -5y)/(y +4)

x is undefined (no solution) for y = -4.

Answer 2

Answer:

y = -4

Step-by-step explanation:

If we look at xy + 5y, we see that both terms share a factor of y. This gives us

                                                   y(x + 5) + 4x + 20 = 1

Similarly, 4x and 20 share a factor of 4, giving us

                                                   y(x + 5) + 4(x + 5) = 1

Now we see that these two terms share a factor of x + 5, so factoring gives us

                                                   (y + 4)(x + 5) = 1

Dividing both sides by y+4 gives us

                                                    x + 5 = 1/(y + 4)

Finally, we subtract both sides by 5 to get

                                                    x = 1/(y + 4) - 5

Thus, since we can not have a 0 in the denominator, we see that if y = -4 then x will have no solution. For any other value of y, we can find the solution for x using this equation.


Related Questions

solve for x 4 - (x + 2) < -3(x + 4)

Answers

in 4 - (x + 2) < -3(x + 4), x < -7

isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x<-7

Step-by-step explanation:

Use inverse operations to solve

4 - ( x + 2 ) < -3 ( x+ 4)

first distribute the (-) sign and the (-3)

4 -x -2 < -3x -12

simplify

2 -x < -3x -12

simplify again, with inverse operations

2 -x < -3x -12

+3x    +3x

2 + 2x < -12

-2           -2

2x < -14

/2       /2

x<-7

Suppose we want a 99% confidence interval for the average amount spent on books by freshmen in their first year at college. The amount spent has a normal distribution with standard deviation $34. (a) How large should the sample be to guarantee the margin of error will be no more than $3?(b) If we wanted a smaller margin of error, we would need a sample. (Enter: ''LARGER'', ''SMALLER'' or ''SAME SIZE'', without the quotes.)

Answers

Answer:

a) 855

b) We would need a Larger sample.

Step-by-step explanation:

(a) How large should the sample be to guarantee the margin of error will be no more than $3?

The formula for Margin of Error = z × Standard deviation/√sample size

z = z score of 99% confidence interval = 2.58

Standard deviation = $34

Sample size = n = unknown

Margin of Error = $3

√n = z × Standard deviation/Margin of Error

Square both sides

n = (z × standard deviation/Margin of Error)²

n =( 2.58 ×34/ 3)²

n = (29.24)²

n = 854.9776

Approximately, the size of the sample be to guarantee the margin of error will be no more than $3 is 855

(b) If we wanted a smaller margin of error, we would need a sample. (Enter: ''LARGER'', ''SMALLER'' or ''SAME SIZE'', without the quotes.)

We would need a Larger sample.

This is because, the larger the sample, the smaller the margin of Emerror and the smaller the sample, the larger the margin of error. Therefore, for the question b, we would be needing a larger sample.

The center of circle P is at (-3, 8) and the radius is 12
units. Find its equation.

Answers

Answer:

The answer is

x² + y² + 6x - 16y - 71 =0

Step-by-step explanation:

The equation of a circle is given by

( x - a)² + ( y - b)² = r²

where ( a , b) is the center of the circle and

r is the radius

From the question the center is

P (-3, 8) and radius = 12

Substitute the values into the above formula and solve

That's

( x + 3)² + ( y - 8) = 12²

Expand the terms

That's

x² + 6x + 9 + y² - 16y + 64 = 144

Arrange the terms

x² + y² + 6x - 16y + 9 + 64 - 144 = 0

We have the final answer as

x² + y² + 6x - 16y - 71 =0

Hope this helps you

which of the following is NOT true?
If the endpoints of a segment are (3,0), and (0, 3), the length of the segment is approximately 4.24 units.
If the endpoints of a segment are (3,-3), and (5,-5), the length of the segment is approximately 4.24 units.
The Pythagorean Theorem can be used to find the length of a segment.
The Distance Formula can be used to find the length of a segment.

Answers

Answer:

The answer is: If the endpoints of a segment are (3,-3), and (5,-5), the length of the segment is approximately 4.24 units.

Step-by-step explanation:

Please help.

2/3x - 4 = -2

A) -3
B) -4
C) -9
D) 3

Answers

Answer:

D) 3

carollnx talk me

............ that is the correct options

Answer:

D) 3

be confident to answer any questions

what is 2/3 + 1/2 equal?

Answers

Answer: To add fractions, find the LCD and then combine.

Exact Form:

7 /6

\( ̄︶ ̄*\)) Hope this helps!!

Answer:

7/6

Step-by-step explanation:

2/3+1/2

4/6+3/6

4+3/6

7/6

Given two independent random samples with the following results:n1=13x‾1=186s1=33 n2=13x‾2=171s2=23Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed.Step 1 of 3 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Complete Question

Given two independent random samples with the following results:

   

[tex]n_2=13\ , \= x_2=171\ s_1=23[/tex]  

Use this data to find the 90% confidence interval for the true difference between the population means. Assume that the population variances are equal and that the two populations are normally distributed.

Step 1 of 3: Find the point estimate that should be used in constructing the confidence interval.

Step 2 of 3: Find the margin of error to be used in constructing the confidence interval. Round your answer to six decimal places.

Step 3 of 3: Construct the 90% confidence interval. Round your answers to the nearest whole number.

Answer:

Step 1 of 3:

    [tex]\= x_p  =  15[/tex]

Step 2 of 3:

    [tex]E =7.79[/tex]

Step 3 of 3:

   [tex] 7.21 < \mu_1 - \mu_2 < 22.79[/tex]

Step-by-step explanation:

Now considering the Step 1 of 3, the  point estimate that should be used in constructing the confidence interval  is mathematically represented as  

        [tex]\= x_p = \= x_1 - \= x_2[/tex]

=>     [tex]\= x_p = 186 - 171[/tex]

=>     [tex]\= x_p = 15[/tex]

Now considering the Step 2 of 3

Given that the confidence level is  90% then the level of significance is mathematically represented as

     [tex]\alpha = (100-90)\%[/tex]

=>    [tex]\alpha = 0.10[/tex]

Generally the degree of freedom is mathematically represented as

        [tex]df = n_1 + n_2 - 2[/tex]

=>    [tex]df = 13 + 13 - 2[/tex]

=>   [tex]df = 24[/tex]

From the student t-distribution table the critical value of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of  [tex]df = 24 \ is \ \ t_{\frac{\alpha }{2} ,df} = 1.711[/tex]

Generally the pooled variance is mathematically represented as    

  [tex]s_p^2 = \frac{ (13 -1 ) 33^2 + (13 -1 ) 23^2 }{(13 - 1 )(13 - 1)}[/tex]

         [tex]s_p^2 = 134.83 [/tex]

Generally the margin of error is mathematically represented as

  [tex]E = t_{\frac{\alpha }{2} ,df } * \sqrt{\frac{s_p^2}{n_1} +\frac{s_p^2}{n_2} }[/tex]

=>     [tex]E = 1.711* \sqrt{\frac{134.83}{13} +\frac{134.83}{13}}[/tex]

=>     [tex]E =7.79[/tex]

Now considering the Step 3 of 3

Generally the 90% confidence interval is mathematically represented as

              [tex]\= x_p -E < \mu_1 - \mu_2 < \= x_p +E[/tex]

=>  [tex] 15 -7.79 < \mu_1 - \mu_2 < 15 +7.79[/tex]

=>  [tex] 7.21 < \mu_1 - \mu_2 < 22.79[/tex]

Earth is 149 597 890 km from the sun. Pluto is about 39.5 times farther away from the sun than earth. how far is pluto from the sun? round your answer to three digits and express it in scientific notation.

Answers

Answer:

39.5 astronomical units

The value of x in the equation (12x − 36) = 5x + 18 is .

Answers

Answer:

[tex]x = \frac{54}{7} [/tex]

Step-by-step explanation:

(12x − 36) = 5x + 18

First of all remove the parenthesis

That's

12x - 36 = 5x + 18

Next subtract 5x from both sides of the equation

We have

12x - 5x - 36 = 5x - 5x + 18

7x - 36 = 18

Add 36 to both sides of the equation

That's

7x + 36 - 36 = 18 + 36

7x = 54

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{54}{7} [/tex]

We have the final answer as

[tex]x = \frac{54}{7} [/tex]

Hope this helps you

Answer: x=54/7

Step-by-step explanation:

To find the value of x, we need to use algebraic properties to isolate x.

12x-36=5x+18         [subtract both sides by 5x]

7x-36=18                  [add both sides by 36]

7x=54                      [divide both sides by 7]

x=54/7

Now, we know that x=54/7.

MATH please heeeeeeelp​

Answers

Step-by-step explanation:

Its additive inverse!

It is addictive inverses

Please help quick !!!!!! Simplify 6(x + 4).

Answers

Answer:

6(x + 4)

opening brackets

=6x+24 is the answer

Step-by-step explanation:

Write in expanded form 51.242.

Answers

Answer:

50 + 1 + [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{100}[/tex] + [tex]\frac{2}{1,000}[/tex]

Step-by-step explanation:

This is the answer because:

1) 50 and 1 equal to 51

2) The fraction forms of a decimal number is: the decimal number/the decimal number place value

3) Therefore, the answer is 50 + 1 + [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{100}[/tex] + [tex]\frac{2}{1,000}[/tex]

Hope this helps!

Help me solve step by step

Answers

If you have questions just message me. I hope this helps

22 must lie between the whole numbers
and

Answers

You should end of lab

Is - 6/5 rational or irrational?

Answers

Answer:

lt is rational number .

6/5 is a rational number.

A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was
7.5%, and the tax in the second city was 7%. The total hotel tax paid for the two cities was $547.50. How much was the hotel charge in each city before tax?

Answers

Answer:

let the hotel charge before tax for second hotel be x

then the hotel charge before tax for first hotel = x+1500

tax of first hotel = 7.5% * (x+1500) = (7.5x+11250)/100

tax from second hotel= 7% of x = 7x/100

total tax = 547.50

7x/100 + (7.5x+11250)/100 =547.50

14.5x = 54750-11250

14.5x= 43500

x= 3000

hotel charge in first city = 4500

in second city =3000

Step-by-step explanation:

perform the indicated operation (-2i+3i)+(-1-4i)

Answers

Answer:

  -1 -3i

Step-by-step explanation:

It is unusual to have two imaginary terms grouped together like this. Taking the question at face value, we treat i as though it were a variable, and collect terms in the usual way.

  (-2i +3i) +(-1 -4i) = i(-2+3-4) -1 = -1 -3i

Which number is not equal to one of the following expressions

Answers

Answer:150,000

Step-by-step explanation:

1500×10=15000

150,000÷100=1500

1500÷10=150

So 150,000 is not an answer in one the expressions

Answer:150,000

Step-by-step explanation:

solve: 3(2x+1)-2(x+5)-5(5-2x)=16 value of x?​

Answers

Step-by-step explanation:

3(2x + 1) - 2(x + 5) - 5(5 - 2x) = 16

6x + 3 - 2x - 10 - 25 + 10x = 16

6x - 2x + 10x = 16 - 3 + 10 + 25

14x = 48

x = 48/14

x = 24/7

When using the power rule, the original coefficient:__________a) Is multiplied by the original exponent.b) Only changes if the function is in terms of x.c) Is ignored

Answers

Answer:

a) Is multiplied by the original exponent.

Step-by-step explanation:

the power rule works like this:

you want to find the derivative of ax ⁿ

where n is the exponent and a is the coefficient

the derivative would equal (n ⋅ a)xⁿ⁻¹

e.g. you want to find the derivatives of 5x⁴

f'(x) = (4 ⋅ 5)x⁴⁻¹ = 20x³

f''(x) = (3 ⋅ 20)x³⁻¹ = 60x²

f'''(x) = (2 ⋅ 60)x²⁻¹ = 120x

f''''(x) = (1 ⋅ 120)x¹⁻¹ = 120

3/7➗4/5= How do you solve this problem, step by step?

Answers

1) 3/7 divided by 4/5

2) Through multiplication inverse this becomes 3/7 * 5/4 where * means Multiplied by

3) Answer is 15/28 as we multiply 3 with 5 (numerator with numerator) and we multiply 7 with 4 (denominator with denominator)

(15.x + 79)
(5x + 61)

Answers

Answer:

A) 15x +79  = z

B) 15x +79 + 5x + 61 = 180

20x + 140 = 180

20x = 40

x = 2

Then using equation A)

A) 15 * 2 + 79 = z

30 + 79 =z

z = 109

Step-by-step explanation:

On the exam, Rebecca successfully created 20 out of 25 vases.

Answers

[tex]\text{Hello there! :]}[/tex]

[tex]\large\boxed{125 \text { vases}}[/tex]

[tex]\text{To solve, find the proportion of successes from the total:}\\\\20 / 25 = 4 / 5\\\\\text{Set up a proportion to find the # of vases necessary to complete 100 successfully:}\\\\\frac{20}{25} = \frac{100}{x} \\\\\text{Cross multiply to solve:}\\\\20 * x = 100 * 25\\\\20x = 2500\\\\\text{Divide both sides by 20:}\\\\x = 125 \text{ vases}[/tex]

Answer:

125=_=_=

Step-by-step explanation:

hoped I helped

find the product of (4m-n)and (3m-2n)

Answers

(4m - n)(3m - 2n)

12m^2 - 8mn - 3mn + 2n^2

Let's combine like terms

12m^2 - 11mn + 2n^2

Answer:

12m^2+2n^2-11mn

Step-by-step explanation:

(4m-n)(3m-2n)

=12m^2-8mn-3mn+2n^2

12m^2+2n^2-11mn

6. How many 1/2 hour periods will make up 4 hours?

Answers

Answer: it will take 8 periods of 1/2 hour to make up 4 hours

Step-by-step explanation:

It will take 8 periods of 1/2 hour to make up 4 hours.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Half an hour is 30 minutes,

There are 60 minutes in an hour.

4 hours=240 minutes.

240/30 = 8

Hence, 8 periods of 1/2 hour to make up 4 hours.

Learn more about Arithmetic operations

https://brainly.com/question/25834626

#SPJ5

Determine whether the lines are parallel, perpendicular or neither.
b
Line 1:2y−3x=0
Line 2:y+6x=−3

Answers

Answer:

Neither

Step-by-step explanation:

Although the lines intersect it is not at a 90° angle meaning it's neither perpendicular or parallel.

(Multiple choice)

The quotient of a number and 17 is 118.82.

A. it can be solved with division property of equality.

B. It can be solved with the multiplication property of equality

C. The equation should x/17=118.82

D.x=7

E. X=2020

Answers

Answer:

C. The equation should x/17=118.82

Step-by-step explanation:

We know that

Dividend ÷ Divisor = Quotient

Dividend/Divisor = Quotient

From the question, we are told that:

The quotient of a number and 17 is 118.82

Let us represent the unknown number as x = Dividend

17 = Divisor

Quotient = 118.82

Hence,

x / 17 = 118.82

Cross Multiply

x = 17 × 118.82

x = 2019.94

The correct answer = Option C. The equation should x/17=118.82


I don't understand this ​

Answers

Answer:

tytytytyt

Step-by-step explanation:

Answer:

i don't either

Step-by-step explanation:

In science class, Sarah calculates the mass of a planet to be 918,000,000,000,000,000,000 kg. What is the mass of the planet in scientific notation? 91.8×1019 kg 9.18×10−20 kg 918×1018 kg 9.18×1020 kg

Answers

Answer:

Step-by-step explanation:

↘↘↘↙↙↖↗↙↖

If you get this you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden. Good luck! If you get it correct your answer will be deleted and I will message you to continue the game. Don't play if you are not going to continue.

Answers

1 person is in the garden. Me

Answer:

35 counting yourself.........34 not

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