Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

Show All Work To Solve The Equation For X. If A Solution Is Extraneous, Be Sure To Identify It In Your

Answers

Answer 1

Answer:

2 works

-3 is extraneous

Step-by-step explanation:

sqrt(x + 7) - 1 = x                      Add 1 to both sides

sqrt(x + 7) = x + 1                     Square both sides

(x + 7) = (x + 1 )^2

x + 7 = x^2 + 2x + 1                Subtract x from both sides

0 = x^2 + x + 1 -7                    

0 = x^2 + x - 6                        This will factor

(x + 3)(x - 2)  = 0                      Find the values for x

x + 3 = 0

x = - 3

x - 2 = 0

x = 2

Now you must check this to see if both values work

sqrt(-3 + 7)  - 1 = -3

sqrt(4) - 1 = -3

2 - 1 =? - 3

1 does not equal - 3. Therefore - 3 is extraneous. Try x = 2

sqrt(2 + 7) - 1 = 2

sqrt(9) - 1 = 2

3 - 1 = 2

2 = 2

                         


Related Questions

Answer in simplest form -4/15 + 1/6 =

Answers

Answer:

The answer is -0.1

Step-by-step explanation:

You just need to calculate it in a calculator

Hope it helps :)

Answer : -1/9

Steps :

John brings $15 to the candy store. He buys a bag of jelly beans for $4 and plans to buy some chocolate that costs $5 per pound. Write an inequality to solve for all the possible values of x, the number of pounds of chocolate John could buy.

Answers

Answer:

he could by 2 pounds and still have a dollar left over because

15 11 6

-4 -5 -5 so yeah

11 6 1

Can someone please help me with this !! ❤️

Answers

Answer:

(x, y) → (x + 6, y + 13)

Step-by-step explanation:

Let's use one of the points to determine the transition:

Coordinates of D = (-5, -7)Coordinates of D' = (1, 6)

Transition:

x' - x = 1 - (-5) = 6 y' - y = 6 - (-7) = 13

So the rule is:

(x, y) → (x + 6, y + 13)

Answer:

up 13 , right 6

Step-by-step explanation:

up 13 , right 6

E(-8,-3)

right 6 for x : -8+6=-2

up 14 for y : -3+13=10

E'(-2,10)

for D : (-5,-7)

right 6 : -5+6=1

up 13 : -7+13=6

D'(1,6)  and E'(-2,10)

a polynomial has one quadratic factor and 3 linear factors. One of the linear factors has multiplicity two. What is the degree of the polynomial

Answers

Answer:

5

Step-by-step explanation:

a polynomial has one quadratic factor and 3 linear factors. One of the linear factors has multiplicity two. What is the degree of the polynomial

A polynomial with one quadratic obtains the forms ( ax² +bx +c ) with 3 linear factors.

Suppose the three linear fractions are :

(x- P) (x-Q) (x- R)

The polynomial = ( ax² +bx +c )(x- P) (x-Q) (x- R)

By factorization, the highest degree of the polynomial = 5

iverse of f (x)= 3x​

Answers

Answer:

Divide −x - x by 1 1 . Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x3 f - 1 ( x ) = - x 3 is the inverse of f(x)=−3x f ( x ) = - 3 x

1. Original Sentence: My friend Cody can eat a sandwich faster than any human or animal I have ever seen. New Word: Definition: Two synonyms also considered:

Answers

Answer:

My friend Cody can eat a sandwich swiftlier  than any human or animal I have ever seen.

Find the decimal equivalent to 4 15 .

Answers

I suppose you meant 4/15? If so, the answer is 0.26666666666

Divide 4 by 15:

4/15 = 0.2666666

Some of the possible rounding are: 0.267, 0.27 or 0.30

Use the following cell phone airport data speeds​ (Mbps) from a particular network. Find the percentile corresponding to the data speed 0.8 Mbps.
0.1 0.2 0.2 0.2 0.4
0.4 0.4 0.5 0.5 0.6
0.7 0.8 0.8 0.9 0.9
1.5 1.5 1.6 1.9 1.9
1.9 1.9 2.1 2.4 2.6
2.7 2.8 3.2 3.6 4.5
4.9 5.4 5.8 6.1 6.4
6.6 7.1 9.6 10.9 11.2
11.8 12.1 12.6 13.3 13.8
14.5 14.5 14.9 15.8 28.7

Answers

2.7 2.8 3.2.3.64.5 it has to be that answer

Please Help ASAP it's my Math HW

Answers

Step-by-step explanation:

Use segment addition/subtraction:

GK = GJ − HJ + HK

GK = 2x + 5 − x + 4x − 1

GK = 5x + 4

If GK = 39, then the value of x is:

39 = 5x + 4

5x = 35

x = 7

Use segment subtraction to find GH and JK.

GH = GJ − HJ

GH = 2x + 5 − x

GH = x + 5

GH = 12

JK = HK − HJ

JK = 4x − 1 − x

JK = 3x − 1

JK = 20

Three students need to produce a prime factorization of 48. Donna states that the first factors in the tree should be 6 and 8. Larry states that the first factors in the tree should be 4 and 12. Trish states that the initial factors of 48 do not affect the prime factorization. Explain why Trish is correct. Why is trish correct?​

Answers

Answer:

Below.

Step-by-step explanation:

The initial factors do not affect the prime factorisation.

Continuing the factorisation will lead to the same result whichever initial factors you choose.

    48  

 4   *   12

2*2  *  2*2*3

= 2*2*2*2*3

      48

  6  *    8

2*3  *  2*2*2

= 2*2*2*2*3.

Answer:

A prime factorization is the product of the prime numbers that multiply to give the original number. 48 will have a prime factorization of 2(2)(2)(2)(3), or 24(3), regardless of the initial factors.

Step-by-step explanation:

It is correct!

Solve for r. 7(r+1) = 20.3

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{r = 1.9}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{7(r + 1) = 20.3}[/tex]

Distribute 7 through the parentheses

⇒[tex] \sf{7r + 7 = 20.3}[/tex]

Move 7 to right hand side and change it's sign

⇒[tex] \sf{7r = 20.3 - 7}[/tex]

Subtract 7 from 20.3

⇒[tex] \sf{7r = 13.3}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7r}{7} = \frac{13.3}{7} }[/tex]

Calculate

⇒[tex] \sf{r = 1.9}[/tex]

Hope I helped!

Best regards!!

r is 1.9

Solve  7(r+1) = 20.3

Remove the brackets by dividing both sides by 7:

7(r+1) / 7 = 20.3 / 7

r + 1 = 2.9

Take 1 to the other side so that you can be left with r. When you do this, the sign will change from positive to negative:

r = 2.9 - 1

r = 1.9

r is therefore 1.9

Find out more at https://brainly.com/question/17289311.

Pounds gained by people in your class during the first month of the semester on example of which type of data? 1. Qualitative 2. Quantitative 3. Extreme 4. Statistic

Answers

Answer:

quantitative

Step-by-step explanation:

Weight is a continuous variable, and so the numbers of pounds gained by people in your class is quantitative.

Pounds gained by people in your class during the first month of the semester is 2. Quantitative type of data.

What are the types of statistical data?

In Statistics, Data Types play a very crucial and important role, which needs to be understood, to apply statistical measurements correctly to your data so that we can correctly conclude certain assumptions about the data.

They are Numerical data, Ordinal data, and Categorical data.

Given, Pounds gained by people in your class during the first month of the semester can be represented as numbers so it is a numerical or

Quantitative data.

learn more about data types in statistics here :

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Can you please help me I will give out extra points.

Answers

square root of 19 is 4.35 (4.4)

square root of 23 is 4.79 (4.8

square root of 36 is 6.08 (6.1)

Pattern y: Starts at 0. Rule: Add 6. The values of Pattern x and Pattern y are graphed on a coordinate graph. Some of the ordered pairs for this pattern are (0,0), (3,6),(6,12), and (9,18). Which ordered pair also belongs to this pattern?

A.(12,24)
B. (15,24)
C.(12,36)
D.(1,6)

Answers

Answer:

A (12, 24)

Step-by-step explanation:

The pattern in the ordered pair is (Add 3, Times itself)

a saleswoman earns 60% commission on all that she sells. Last month she sold $400 worth of merchandise. How much commission (In dollars) did she earn last month?

Answers

Answer:

$240

Step-by-step explanation:

If she earns 60% commission, that means she only earns 60% of all sales. So if you take that 60% or (.60) you can multiply that 400 by .60, that equates to 240.

If you were to describe a rotation of triangle ABC what information would you need to include in your description

Answers

You would need to include the center of rotation. For many problems, the center is usually the origin (0,0). This is a default assumed center. Though the center could easily be any other point.

In addition, you also need the amount of rotation that is being applied (eg: 90 degrees).

The last bit of info you need is whether you're going clockwise or counterclockwise. For 180 degree rotations, it doesn't matter, but for everything else it does matter.

Melinda poured herself 20 ounces of orange juice for breakfast. By the end of her meal, she only has 4 ounces left. What scale factor represents the amount of orange juice she has left ?

Answers

Answer:my profile pic is a throwing dart not a ding dong dirty

Step-by-step explanation:

Mr smith and mr stein were driving to a buisness meeting 250 miles from their office. Mr Smith drove the first x miles, then Mr Stein drove the rest of the way. Write an algebric expression for how many miles mr stein drove

Answers

250 divided by x = d (the amount mr Stein drove ) I think that’s the equation

what is 0.7x in fraction form​

Answers

Answer:

7/10x hope it helps

10x=15 find value of x

Answers

Answer:

x= 1.5

Step-by-step explanation:

According to the question

10x = 15

x = 15 / 10

x = 1.5

Answer:

x=1.5

Step-by-step explanation:

Isolate x on one side of the equation by dividing both sides by the factor 10:

[tex]10x=15\\\frac{10\,x}{10} =\frac{15}{10}\\x=1.5[/tex]

—4 + (—19) can u help me plz

Answers

Answer:

-23

Step-by-step explanation: Because when you are adding to negatives together, they add up forward, not backword.

The area of a rectangle is the product of its length and width. Both length and width are whole numbers. A rectangular poster has an area of 204 square inches. The width of the poster is greater than 10 inches and is prime. What is the width of the poster?

Answers

Answer:

17 inches.

Step-by-step explanation:

If the area of a rectangle is the product of its length and width, then;

Area of a rectangle = Length × Width

Given that the width of the poster is greater than 10 inches and is prime, this means and W>10

Area of the rectangle = 204in²

On substituting the values in the formula;

A = LW

204 = LW

Since W is greater than 10 and is prime, it can be between the prime numbers 11, 13 and 17. Note that L must be a whole number as well for any number to be the right answer we seek.

Let's test each values of the prime width that will give a length that is a whole number.

If W = 11

204 = 11×L

L = 204/11

L = 18.54

Since the length didn't give us a whole number, this means our width is not 11.

If W = 13

204 = L × 13

L = 204/13

L = 15.69

Also, we can see that the length is not also a whole number for the value of 13 as the prime width.

If W = 17

204 = L × 17

L = 204/17

L = 12

It can be seen that the length of the rectangle gave us a whole number when we used the prime width of 17, hence the width of the poster that is greater than 10 inches and is prime that makes both length and width to be a whole number is 17 inches.

Answer:17 inches

Step-by-step explanation:

The square root of ____________ like 4, 9, and 16 is a _________ number.

Answers

Answer:

The square root of numbers like 4, 9, and 16 is a square number.

Is the difference of two rational numbers always a rational number? Explain.​

Answers

Answer:

yes, the subtracting of two rational numbers is like subtracting two fractions, and the result will always be a fraction which is a rational number. (All rational numbers is a number that can be represented as a fraction)

Step-by-step explanation:

I NEED HELP PLEASE HELP ME

Answers

Answer:

Step-by-step explanation:

y - 5 = 8

y = 13

The total number of points scored during 10 football games are shown below 45,47,23,30,27,31,21,31,22,38 select the correct five-number summary from the data set

Answers

Answer:

[tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].

Step-by-step explanation:

The given data set is

45, 47, 23, 30, 27, 31, 21, 31, 22, 38

Arrange the data is ascending order.

21, 22, 23, 27, 30, 31, 31, 38, 45, 47

Divide the data in 4 equal parts.

(21, 22),23, (27, 30),( 31, 31), 38, (45, 47)

Now,  

Minimum value = 21

First quartile, [tex]Q_1=23[/tex]

Median, [tex]M=\dfrac{30+31}{2}=30.5[/tex]

Third quartile, [tex]Q_3=38[/tex]

Maximum value = 47

Therefore, the five-number summary for the given data set is [tex]Min=21, Q_1=23, M=30.5, Q_3=38,Max=47[/tex].

Can you please help me with this I will give you a Brainly list and it’s so hard

Answers

Answer:

-4-5

Step-by-step explanation:

The temp was at -4 and if it dropped that means you subtract another 5 from it which is -4-5

Answer:

The correct answer is -4 - 5.

Step-by-step explanation:

The original temperature is -4 degrees.  Then, the temperature falls by 5 degrees.  The temperature "falling" means that it is getting colder or that the temperature is getting lower.  This lets us know that we need to use subtraction.  The final answer is -4 - 5, which would give us the temperature of -9 degrees as the new temperature.

Hope this helps!

what is the percentage of the total variation in candy bar sales explained by the regression model? a. 78.39% b. 88.54% c. 100% d. 48.19%

Answers

Complete question :

A candy bar manufacturer is interested in trying to estimate how sales are influenced by the price of their product. To do this, the company randomly chooses 6 small cities and offers the candy bar at different prices. Using candy bar sales as the dependent variable, the company will conduct a simple linear regression on the data below:

City - - - - - Price ($) -- - Sales

River City - - 1.30 - - - - - - 100

Hudson - - - 1.60 - - - - - 90

Ellsworth - - - 1.80 - - - - - 90

Prescott - - - - 2.00 - - - - 40

Rock Elm - - 2.40 - - 38

Stillwater - - 2.90 - - 32

Answer:

78.39%

Step-by-step explanation:

what is the percentage of the total variation in candy bar sales explained by the regression model?

The question could be interpreted as meaning the percentage of the total variation in the dependent variable (candy bar sales) which can be explained by the regression model. Hence the independent variable is price. This variance can be known by calculating the Coefficient of determination (R^2) value of the regression model.

To save computation time, the R^2 value can be obtained using an online Coefficient of determination calculator.

To obtain the R^2 value, the values of the dependent and independent variables are entered. The R^2 value obtained is : 0.7839

Therefore the total proportion of variance in candy bar sales explained by the regression model is 0.7839 which is equivalent to:

(0.7839 * 100) = 78.39%

Ben and Sam are diving in a lake at 14 feet below the surface been spot Sam 9 feet directly below him find sams depth

Answers

Answer:

23

Step-by-step explanation:

1

14

+ 9

--------

2 3

hope this helps

The depth of Sam's from the surface is 23 feet.

We are given that Ben and Sam are diving in a lake.

Ben and Sam are 14 feet below the surface.

But after a while, Ben spots Sam 9 feet directly below him.

We have to find sam's depth from the surface.

Let the depth at which both Ben and Sam were diving in the lake be X.

i.e X = 14 feet.

Let the depth of Sam from Ben be Y.

i.e Y = 9 feet.

Now Sam's depth from the surface would be:

= X + Y

= 14 + 9

= 23 feet.

Thus, the depth of Sam's from the surface is 23 feet.

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what valúe of x solves the equation?
5+x-6x=-5​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{5 + x - 6x = - 5}[/tex]

Collect like terms

⇒[tex] \sf{5 - 5x = - 5}[/tex]

Move 5 to right hand side and change it's sign

⇒[tex] \sf{ - 5x = - 5 - 5}[/tex]

Calculate

⇒[tex] \sf{ - 5x = - 10}[/tex]

Divide both sides of the equation by -5

⇒[tex] \sf{ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} }[/tex]

Calculate

⇒[tex] \sf{x = 2}[/tex]

Hope I helped!

Best regards!!

Answer:

[tex]\Huge \boxed{x=2}[/tex]

Step-by-step explanation:

[tex]5+x-6x=-5[/tex]

Combining like terms.

[tex]5-5x=-5[/tex]

Subtracting 5 from both sides.

[tex]-5x=-10[/tex]

Dividing both sides by -5.

[tex]x=2[/tex]

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