step by step explanation please :-D
Solve the equation. Check for extraneous solutions.

9|9 – 8x| = 2x + 3

Answers

Answer 1

To solve an absolute value equation of the form |X| = k, where X is an expression with a variable and k is a non-negative number or an expression, you must solve the compound equation X = k or X = -k.

The first step is to divide both sides by 9 to get the absolute value of an expression equal to a non-negative number.

9|9 – 8x| = 2x + 3

Divide both sides by 9.

[tex] |9 - 8x| = \dfrac{2x + 3}{9} [/tex]

Now we eliminate the absolute value by rewriting this as a compound equation.

[tex] 9 - 8x = \dfrac{2x + 3}{9} ~~~or~~~ 9 - 8x = -\dfrac{2x + 3}{9} [/tex]

We must solve both equations.

Multiply both sides by 9.

[tex] 9(9 - 8x) = 2x + 3 ~~~or~~~ 9(9 - 8x) = -(2x + 3) [/tex]

[tex] 81 - 72x = 2x + 3 ~~~or~~~ 81 - 72x = -2x - 3 [/tex]

[tex] -74x = -78 ~~~or~~~ -70x = -84 [/tex]

[tex] x = \dfrac{-78}{-74} ~~~or~~~ x = \dfrac{-84}{-70} [/tex]

[tex] x = \dfrac{39}{37} ~~~or~~~ x = \dfrac{6}{5} [/tex]

Answer: x = 39/37 or x = 6/5

To check for extraneous solutions, we plug in each solution into the original equation and check if it works.

Check 39/37:

9|9 – 8(39/37)| = 2(39/37) + 3

|81 - 72(39/37)| = 78/37 + 3

|2997/37 - 2808/37| = 78/37 + 111/37

|189/37| = 189/37

189/37 = 189/37

The solution 39/37 is valid.

Check x = 6/5.

9|9 – 8x| = 2x + 3

9|9 – 8(6/5)| = 2(6/5) + 3

|81 - 72(6/5)| = 12/5 + 15/5

|405/5 - 432/5| = 27/5

|-27/5| = 27/5

27/5 = 27/5

The solution x = 6/5 is also valid.

There are no extraneous solutions.


Related Questions

please help on this one and show work for brainliest

Answers

Really isn't a problem to show work on, considering that they've given you a graph.

The y-intercept is obviously -6, to find the slope I would just observe the rise over run. It goes up 4 and over 1 unit. So it should be 4/1 or just 4.

C. y=4x-6 is your answer.

Jordan works in a science lab where he is studying the behavior of a certain unstable isotope. He has 240 milligrams of the sample, and the amount of the substance remaining in the sample decreases at a rate of 8% each day. After t days, there are less than 115 milligrams of the substance remaining. Which inequality represents this situation, and after how many days will the amount of the sample be less than 115 milligrams?

Answers

Answer:

After 8.82 days the amount of substance is less than 115 milligrams

Step-by-step explanation:

If x (t) represents the amount of substance in the sample after t days. So

[tex]x(t) = P_{t-1}- 0.08P_{t-1}[/tex] with [tex]t \geq 1[/tex]

Where Pt is the amount of substance in the sample on day t.

[tex]x (1) = 240 -0.08(240)\\ x (2) = 240 -0.08(240) - 0.8 [240 -0.08(240)][/tex]

Then x (t) can be written as:

[tex]x (t) = 240(1-0.08) ^ t[/tex]

After t days there are less than 115 milligrams of the substance, then:

x (t) <115

[tex]240(1-0.08) ^ t <115[/tex]  This is the inequality that the situation represents.

Now we clear t.

[tex](0.92) ^ t <0.4792\\ t * ln (0.92) <ln (0.4792)\\\\ t>\frac{ln (0.4792)}{ln (0.92)}\\\\ t> 8,823[/tex]

After 8.82 days the amount of substance is less than 115 milligrams

Merlyn’s weight went down from 125 pounds to 110 pounds after dieting. What was her percent weight loss? a. 10% b. 12% c. 15% d. 18%

Answers

[tex]\frac{(new) - (original)}{original} = \frac{110 - 125}{125} = \frac{-15}{125} = -0.12[/tex] The negative means it is a decrease.

0.12 x 100 = 12%  

Her weight decreased 12%

Answer: B

Multiply the polynomials. Simplify the answer. Show your work.
(5x^2+8x-6)(8x^2+3x+1)

Answers

40x^4 + 79x^3 - 19x^2 - 10x - 6

5x^2 + 8x - 6(8x^2 + 3x + 1)

Distributive property.

40x^4 + 15x^3 + 5x^2 + 64x^3 + 24x^2 + 8x - 48x^2 - 18x - 6

Combine like terms.

40x^4 + 79x^3 - 19x^2 - 10x - 6

Use the distributive property and [tex]a^n\cdot a^m=a^{n+m}[/tex]

[tex](5x^2+8x-6)(8x^2+3x+1)\\\\=(5x^2)(8x^2)+(5x^2)(3x)+(5x^2)(1)+(8x)(8x^2)+(8x)(3x)+(8x)(1)+(-6)(8x^2)+(-6)(3x)+(-6)(1)\\\\=40x^4+15x^3+5x^2+64x^3+24x^2+8x-48x^2-18x-6\\\\=40x^4+(15x^3+64x^3)+(5x^2+24x^2-48x^2)+(8x-18x)-6\\\\=40x^4+79x^3-19x^2-10x-6[/tex]

Hellllllllllllllllllp !

Answers

4300 + (3200*2) = 10,700 dollars
131,400 - 10,700 = 120,700
120,700 ÷ 13 = $9284.61

the answer is $9284.61
Answer is $9284.61 hope this helps bro

Susan's uncle from Japan promised to give her 41 g of gold. The local jewelry exchange will buy gold for $1286 per ounce.

Answers

Answer:

The answer is $1851.84.

Given data:

Gold Susan has = 42 g

Price of gold = $1286 per ounce

Price of gold Susan has = ?

Solution:

1 Ounce = 28.34 g

1 g = 1/28.34 ounce

41 g = 1/28.34 * 41

       = 1.44 Ounce.

Price of gold for 1 ounce      = $1286

Price of gold for 1.44 ounce = 1286 * 1.44 = $1851.84

What is 20x30 i need the answer nowwwwwwwwwwwwww

Answers

Answer: 600

Step-by-step explanation:

   20    x    30

= 2 x 10 x   3 x 10

= 2 x 3   x  10 x 10

=    6      x     100

=         600

17/21- (3/7 + 2/7) please answer quick

Answers

Answer:

2/21

Step-by-step explanation:

17/21 -(3/7 + 2/7)

First you add

=17/21 - (5/7)

Then you want to subtract

=2/21

Answer:

The answer is 2/21

Step-by-step explanation:

Step 1: simplify 2/7

Step 2: simplify 3/7

Step 3: Adding fractions which have a common denominator

So it would be - 3+2/7 = 5/7

So the new equation would be 17/21 - 5/7

Step 4: simplify 17/21

Step 5: Calculating the LCM (Least Common Multiple)

The LCM is 21

17-(5 × 3)/21 = 2/21

need help with these 3 math questions on functions please.

Answers

Q4.

[tex]f(x)=\sqrt{x}+4\\\\D:\ x\geq0[/tex]

Answer: all real numbers greater than or equal to 0.

Q.

The range is read from the y axis. Therefore the range = (-∞ , 1]

Answer: {y | y ≤ 0}

Q.

The first part of the graph has a slope = 2, therefore it's y = 2x.

The second part of the graph is horizontal line y= 4.

Therefore your answer is:

[tex]f(x)=\left\{\begin{array}{ccc}2x&if&x < 0\\4&if&x\geq0\end{array}\right[/tex]

Tom always keeps his 4 gardens clean.He takes 20 minutes to clean a single garden.How much time will it take to clean all four gardens.

Answers

It will take Tom 80 minutes to clean all 4 gardens. Or, 1 hour and 20 minutes.

Find the x and y intercepts of the function

Answers

So when you look at the graphs, the functions always get close to x=0 but never actually touch it

So there are no x-intercepts

And for y, you just see where the point is passing the y-axis. In this case, the y-intercept is (0,-4)

So your answer is  C :)

The intercepts for the given graph are:

x-intercept: none

y-intercept: (0, -4)

The correct option is the third one.

How to find the x and y intercepts?

For a function y = f(x), we define the x-intercept as the value of x at which the function is zero, so:

f(x) = 0

And the y-intercept as the value that y takes when x = 0.

When we have a graph, we can just look at the points where the graph intercepts the correspondent axes.

In this particular case, we can see an asymptotic tendency to zero, so the function never intercepts the horizontal axis, there are no x-intercepts.

And we can see an y-intercept at y = -4

So the correct option is:

x-intercept: none

y-intercept: (0, -4)

Learn more about intercepts at:

https://brainly.com/question/3951754

#SPJ4

A snorkeler dives for a shell on a reef. After entering the water, the diver descends 11/3 feet in one second. Write an equation that models the diver's position with respect to time.

Answers

x^2 -12x +11

We have the x intercepts so we can create the equation (x-1)(x-11).  Multiply it and you get your answer

Answer:

f(t)=t²-12t+11

Step-by-step explanation:

1) Having an attentive reading, we can see from the picture two coordinate points (1,0) and (11,0).

These points, has coordinates for x and y. Since those y-coordinates are zero, we have x-intercepts. Or the zeros of a function, in a quadratic function. Those intercepts minus x values equals zero. These x-intercepts we'll rename it as t, for time.

2) Plugging it in and writing it as groups:

f(t) = returns in feet

t= for time

f(t) =(t-1)(t-11)

Distributing the factors multiplying (t-1) times (t-11), goes:

f(t) =t²-12t+11

A number is multiplied by 3.
If 3 is subtracted from the product you get 24.

What is the number?
A. 6
B. 7
C. 8
D. 9

Answers

It's 9
this is because if you subtract 27-3 you get 24
and since you mulitiplied it the opposite is division so 27/9 = 3
so the answer is d.9
The answer is 9 hope this helps

Rewrite the fractions 3/4 and 5/16 as fractions with a least common denominator.

Answers

Answer:

12/16 and 5/16


Step-by-step explanation:


To rewrite 3/4 and 5/16 with a least common denominator, factorize the denominators to find the LCD, which is 16. Multiply 3/4 by 4/4 to get 12/16. The fraction 5/16 remains unchanged.

The denominator 4 is 22, and 16 is 24. The LCD is the higher power of 2 present in these denominators, which is 24 or 16. You then find what to multiply each fraction's denominator to get the LCD. In the case of 3/4, multiply numerator and denominator by 4 to get 12/16. There is no need to change 5/16 because it's already expressed with the LCD as denominator.

So, the fractions with the same denominator are:

3/4 becomes 12/16

5/16 remains 5/16

These fractions can now be easily added or subtracted as they have a common denominator.

Linda makes $96 per work day. How much dose she make in 3/8 of a d

Answers

You just use the top (numerator) and bottom (denominator) numbers from the fraction.

Divide 96 by 8 to split up the day:

96 / 8 = 12

Then to work out how much she makes, multiply by 3:

12 * 3 = 36

Therefore, she makes $36 in 3/8 of a day.

[tex]\frac{96 (dollars)}{1 (day)} * \frac{3}{8} day = \frac{96(3)}{8} dollars[/tex] = 12(3) dollars

= $36

A number has the digit 3 in the ones place and the digit 4 in the tens place. Which of these is another way to write this number? 3+4 40+3 30+4

Answers

40+3=43
Four is in the tens place and three is in the ones place
Final answer:

The number with 4 in the tens place and 3 in the ones place can be alternatively written as 40+3. This is because 4 in the tens place actually equates to 40.

Explanation:In this case, the number in question has the digit 3 in the ones place and the digit 4 in the tens place. When we understand place value, we can see that '4' in the tens place actually represents 40, whereas '3' in the ones place represents 3. Therefore, another way to write this number is 40+3.

So, out of the options 3+4, 40+3, and 30+4 given, 40+3 is the correct representation of the number.

Learn more about Place Value here:

https://brainly.com/question/35447631

#SPJ2

Hector is visiting a cousin who lives 350 miles away he has driven 90 miles how many more miles does it take to drive to reach his cousin's home

Answers

260 more miles,since 350-90=260

nine septenseptuagintillion nine hundred and ninety-nine seseptuagintillion nine hundred and ninety-nine quinseptuagintillion nine hundred and ninety-nine quattuorseptuagintillion nine hundred and ninety-nine treseptuagintillion nine hundred and ninety-nine duoseptuagintillion nine hundred and ninety-nine unseptuagintillion nine hundred and ninety-nine septuagintillion nine hundred and ninety-nine novensexagintillion nine hundred and ninety-nine octosexagintillion nine hundred and ninety-nine septensexagintillion nine hundred and ninety-nine sesexagintillion nine hundred and ninety-nine quinsexagintillion nine hundred and ninety-nine quattuorsexagintillion nine hundred and ninety-nine tresexagintillion nine hundred and ninety-nine duosexagintillion nine hundred and ninety-nine unsexagintillion nine hundred and ninety-nine sexagintillion nine hundred and ninety-nine novenquinquagintillion nine hundred and ninety-nine octoquinquagintillion nine hundred and ninety-nine septenquinquagintillion nine hundred and ninety-nine sesquinquagintillion nine hundred and ninety-nine quinquinquagintillion nine hundred and ninety-nine quattuorquinquagintillion nine hundred and ninety-nine tresquinquagintillion nine hundred and ninety-nine duoquinquagintillion nine hundred and ninety-nine unquinquagintillion nine hundred and ninety-nine quinquagintillion nine hundred and ninety-nine novenquadragintillion nine hundred and ninety-nine octoquadragintillion nine hundred and ninety-nine septenquadragintillion nine hundred and ninety-nine sesquadragintillion nine hundred and ninety-nine quindragintillion nine hundred and ninety-nine quattuorquadragintillion nine hundred and ninety-nine tresquadragintillion nine hundred and ninety-nine duoquadragintillion nine hundred and ninety-nine unquadragintillion nine hundred and ninety-nine quadragintillion nine hundred and ninety-nine novemtrigintillion nine hundred and ninety-nine octotrigintillion nine hundred and ninety-nine septentrigintillion nine hundred and ninety-nine sextrigintillion nine hundred and ninety-nine quintrigintillion nine hundred and ninety-nine quattuortrigintillion nine hundred and ninety-nine tretrigintillion nine hundred and ninety-nine duotrigintillion nine hundred and ninety-nine untrigintillion nine hundred and ninety-nine trigintillion nine hundred and ninety-nine novemvigintillion nine hundred and ninety-nine octovigintillion nine hundred and ninety-nine septenvigintillion nine hundred and ninety-nine sexvigintillion nine hundred and ninety-nine quinvigintillion nine hundred and ninety-nine quattuorvigintillion nine hundred and ninety-nine trevigintillion nine hundred and ninety-nine duovigintillion nine hundred and ninety-nine unvigintillion nine hundred and ninety-nine vigintillion nine hundred and ninety-nine novemdecillion nine hundred and ninety-nine ocodecillion nine hundred and ninety-nine septendecillion nine hundred and ninety-nine sexdecillion nine hundred and ninety-nine quindecillion nine hundred and ninety-nine quattuordecillion nine hundred and ninety-nine tredecillion nine hundred and ninety-nine duodecillion nine hundred and ninety-nine undecillion nine hundred and ninety-nine decillion nine hundred and ninety-nine nonillion nine hundred and ninety-nine octillion nine hundred and ninety-nine septillion nine hundred and ninety-nine sextillion nine hundred and ninety-nine quintillion nine hundred and ninety-nine quadrillion nine hundred and ninety-nine trillion nine hundred and ninety-nine billion nine hundred and ninety-nine million nine hundred and ninety-nine thousand nine hundred and ninety-nine

Answers

uh......huh?? I will look this thingie up for you, I have no clue, but I will. Have a PHENOMANAL night!

Answer:

ninety-nine quinsexagintillion nine hundred ninety-nine quattuorsexagintillion nine hundred ninety-nine tresexagintillion nine hundred ninety-nine duosexagintillion nine hundred ninety-nine unsexagintillion nine hundred ninety-nine sexagintillion nine hundred ninety-nine novemquinquagintillion nine hundred ninety-nine octoquinquagintillion nine hundred ninety-nine septenquinquagintillion nine hundred ninety-nine sexquinquagintillion nine hundred ninety-nine quinquinquagintillion nine hundred ninety-nine quattuorquinquagintillion nine hundred ninety-nine trequinquagintillion nine hundred ninety-nine duoquinquagintillion nine hundred ninety-nine unquinquagintillion nine hundred ninety-nine quinquagintillion nine hundred ninety-nine novemquadragintillion nine hundred ninety-nine octoquadragintillion nine hundred ninety-nine septenquadragintillion nine hundred ninety-nine sexquadragintillion nine hundred ninety-nine quinquadragintillion nine hundred ninety-nine quattuorquadragintillion nine hundred ninety-nine trequadragintillion nine hundred ninety-nine duoquadragintillion nine hundred ninety-nine unquadragintillion nine hundred ninety-nine quadragintillion nine hundred ninety-nine novemtrigintillion nine hundred ninety-nine octotrigintillion nine hundred ninety-nine septentrigintillion nine hundred ninety-nine sextrigintillion nine hundred ninety-nine quintrigintillion nine hundred ninety-nine quattuortrigintillion nine hundred ninety-nine trestrigintillion nine hundred ninety-nine duotrigintillion nine hundred ninety-nine untrigintillion nine hundred ninety-nine trigintillion nine hundred ninety-nine novemvigintillion nine hundred ninety-nine octovigintillion nine hundred ninety-nine septenvigintillion nine hundred ninety-nine sexvigintillion nine hundred ninety-nine quinvigintillion nine hundred ninety-nine quattuorvigintillion nine hundred ninety-nine trevigintillion nine hundred ninety-nine duovigintillion nine hundred ninety-nine unvigintillion nine hundred ninety-nine vigintillion nine hundred ninety-nine novemdecillion nine hundred ninety-nine octodecillion nine hundred ninety-nine septendecillion nine hundred ninety-nine sexdecillion nine hundred ninety-nine quindecillion nine hundred ninety-nine quattuordecillion nine hundred ninety-nine tredecillion nine hundred ninety-nine duodecillion nine hundred ninety-nine undecillion nine hundred ninety-nine decillion nine hundred ninety-nine nonillion nine hundred ninety-nine octillion nine hundred ninety-nine septillion nine hundred ninety-nine sextillion nine hundred ninety-nine quintillion nine hundred ninety-nine quadrillion nine hundred ninety-nine trillion nine hundred ninety-nine billion nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred ninety-nine

Ron is tiling acountertop.He needs to place 54 square tiles in each rows of 8 to cover the counter.He wants to randomly place 8 groups of 4 blue tiles each and have rest of the tiles be white how many white tiles will ron need?

Answers

i think it is  because he needs to place 54 tiles and he needs 8 groups of 4 blue tiles therefore he has 32 blue tiles and 54-32= 22

There are twenty-four calories in a candy bar. Sally ate eight candy bars. How many calories are there in thirty -nine candy bars?

Answers

Answer:you dont even know how to write the sentence right so fail


Step-by-step explanation:


Spencer wrote the following paragraph proof showing that rectangles are parallelograms with congruent diagonals. Quadrilateral R E C T is shown with right angles at each of the four corners. Segments E R and C T have single hash marks indicating they are congruent while segments E C and R T have two arrows indicating they are parallel. Segments E T and C R are drawn. According to the given information, quadrilateral RECT is a rectangle. By the definition of a rectangle, all four angles measure 90°. Segment ER is parallel to segment CT and segment EC is parallel to segment RT by the ________________. Quadrilateral RECT is then a parallelogram by definition of a parallelogram. Now, construct diagonals ET and CR. Because RECT is a parallelogram, opposite sides are congruent. Therefore, one can say that segment ER is congruent to segment CT. Segment TR is congruent to itself by the Reflexive Property of Equality. The Side-Angle-Side (SAS) Theorem says triangle ERT is congruent to triangle CTR. And because corresponding parts of congruent triangles are congruent (CPCTC), diagonals ET and CR are congruent. Which of the following completes the proof? Alternate Interior Angles Theorem Converse of the Alternate Interior Angles Theorem Converse of the Same-Side Interior Angles Theorem Same-Side Interior Angles Theorem

Answers

We have to prove that rectangles are parallelograms with congruent Diagonals.

Solution:

1. ∠R=∠E=∠C=∠T=90°

2. ER= CT, EC ║RT

3.  Diagonals E T and C R are drawn.

4. Shows Quadrilateral R E CT is a Rectangle.→→[Because if in a Quadrilateral One pair of Opposite sides are equal and parallel and each of the interior angle is right angle than it is a Rectangle.]

5.  Quadrilateral RECT is a Parallelogram.→→[If in a Quadrilateral one pair of opposite sides are equal and parallel then it is a Parallelogram]

6. In Δ ERT and Δ CTR

(a) ER= CT→→[Opposite sides of parallelogram]

(b) ∠R + ∠T= 90° + 90°=180°→→→Because RECT is a rectangle, so ∠R=∠T=90°]

(c) Side TR is Common.

So, Δ ERT ≅ Δ CTR→→[SAS]

Diagonal ET= Diagonal CR →→→[CPCTC]

In step 6, while proving Δ E RT ≅ Δ CTR, we have used

(b) ∠R + ∠T= 90° + 90°=180°→→→Because RECT is a rectangle, so ∠R=∠T=90°]

Here we have used ,Option (D) : Same-Side Interior Angles Theorem, which states that Sum of interior angles on same side of Transversal is supplementary.

what is this movie movie about a woman who gets robbed by men. calls the police but for some reason the police cant show up so they stayed on the phone with her. the woman has cameras so the police can see the cameras and they watch the cameras to help her stay safe and take down the robbers. the movies starts out with the woman drink wine with a friend i believe.

Answers

The movie is called "Home Invasion".

Here's the plot of the movie:

Chloe Paige (Natasha Henstridge) and her stepson Jacob (Liam Dickinson) live in an isolated mansion in an island. Chloe's husband is traveling and she does not know his whereabouts. One stormy night, Chloe is drinking wine with her friend Alice (Johannah Newmarch) when a car arrives and Alice believes they are strangers needing information. When she leaves the house, she is murdered by a masked man. Chloe closes the front door and calls the police and the home security company. However the police can not cross the bridge that was damaged by the criminals. Meanwhile the trio of criminals breaks in Chloe's house. The security agent Mike (Jason Patric) uses the security cameras to advise Chloe where to hide. The trio is looking for a safe and for Chloe while she is hidden with Jacob. Will the police arrive in time to save Chloe and Jacob?

Name of the movie you are looking for is Home Invasion. Its a really movie movie too, l think.

Which expression is a possible leading term for the polynomial function graphed below?

A. -4x^8
B. -4x^5
C. 4x^5
D. 4x^8

Answers

Answer: Option A. -4x^8


Step-by-step explanation:

The polynomial function given in the graph has 4 real roots. And because the graph falls to the left and right, it will have even order and negative leading coefficient.

So we have only one option that matches the required conditions, and i.e. option A.


question in the attached below. @grujan50

Answers

The first answer is ''Linear pair postulate''

The second answer is ''Definition of suplementary''

The third answer is  ''m∡ACB+45=180''

The fourth answer is ''Subtraction Property of Equality''

The fifth answer is ''∡ACB is obtuse''

The sixth answer is ''Definition of obtuse triangle''

Good luck!!!

Describe the end behavior of the function

its falls to the left falls to the right???? but what is that mean

Answers

we are given

[tex]f(x)=-2x^4-x^3+3[/tex]

We will find degree and leading coefficient

Degree:

The highest degree term in polynomial is degree

so, degree =4

which is even

Leading coefficient:

It is constant term multiplied with highest degree term

so, leading coefficient =-2

which is negative

so,

option-B.......Answer

PLEASE HELP!!!!!


6 1/2 lb (six and a half pound) = ___ oz ( equals how many ounces) ?



THANK YOU!!!!


A. 104

B. 108

C. 112

D. 136


THANKS AGAIN!!! :)

Answers

Hey there! :)

Remember:

16 oz = 1 lb

So, 6 * 16 = 96  ( 6 pounds = 96 ounces)

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

Half a pound = 8 ounces ( 8 + 8 = 16)

Add:

96 + 8 = 104


Therefore, your answer is Option A. 104.

There are 104 ounces in 6 1/2 lbs.


I hope this helps! Feel free to ask any questions or comment if you need me to further explain the steps.

Anna is given the equation 3 + 2x = 2x + 3 The replacement set is {2, 3, 4, 5} Anna says the solution is {3}, but the teacher marked her problem incorrect. Explain what the answer should be and why. Why do you think this is?

Answers

Answer:

The given equation has infinite number of solutions. This means that any real number can be considered a solution to the given equation.

Since the given replacement set {2,3,4,5} consists of real numbers, therefore, the whole set is considered as a solution to the given equation.

This is because, when solving the given equation for x, we will end up with 0 = 0, this means that whatever the value of x is, both sides of the equation will always be equal.

Explanation:

To solve for x, we need to isolate the x on one side of the equation.

This can be done as follows:

3 + 2x = 2x + 3 (subtract 3 from both sides)

2x = 2x (subtract 2x from both sides)

0 = 0

This means that whatever, the value of x is, both sides of the equation will be equal. This means that all real numbers are considered a solution for this equation.

Let's verify this using the given replacement set {2,3,4,5}:

For x = 2:

Left hand side: 3 + 2(2) = 3 + 4 = 7

Right hand side: 2(2) + 3 = 4 + 3 = 7

Both sides are equal.

For x = 3:

Left hand side: 3 + 2(3) = 3 + 6 = 9

Right hand side: 2(3) + 3 = 6 + 3 = 9

Both sides are equal.

For x = 4:

Left hand side: 3 + 2(4) = 3 + 8 = 11

Right hand side: 2(4) + 3 = 8 + 3 = 11

Both sides are equal.

For x = 5:

Left hand side: 3 + 2(5) = 3 + 10 = 13

Right hand side: 2(5) + 3 = 10 + 3 = 13

Both sides are equal.

Hope this helps :)


helpppppppppppppppppppp

Answers

I believe the answer for the first question is A. but not 100% sure, it's the only one I can figure out to be right.

The answer for the second question is C. 90% of 30 is 27.

I hope this helps.
Question 29

Bank Card is charging 1.7% monthly interest

You were charged $175 and want to find the interest you owe


1.) Convert 1.7% to a decimal, which is 0.017


2.) Multiply $175 (price of the charge) with 0.017 (percentage in decimal form) to find out how much you owe

$175 x 0.017 = $2.975

Round that up to $2.98



Question 30

90% of doctors interviewed chose Brady's

30 doctors were interviewed


1.) Convert 90% to a decimal, which is 0.90


2.) Multiply 30 (doctors) with 0.90 (percentage in decimal form) to find out how many doctors preferred Brady's brand

30 x 0.90 = 27 doctors

27 doctors preferred Brady's Aspirin brand

If the blue radius below is perpendicular to the green chord and the segment BC is 7.6 units long, what is the length of the chord?

A. 15.2 units

B. 3.8 units

C. 30.4 units

D. 7.6 units

Answers

Answer:

The correct answer is A. 15.2 units

Step-by-step explanation:

The segment AB is congruent to the segment BC  eg AB≅BC Why?

We can prove it with the triangle congruent theorem, postulate side-side-angle

We are watching triangle ΔABO and triangle ΔCBO, they are congruent

first element side OB=OB - common side

second element side OA=OC=r - radius of the circle

third element angle ∡ABO≅∡CBO=90°

According to the postulate side-side-angle we can conclude that triangles

ΔABO≅ΔCBO (triangles are congruent)

If they are congruent all of their elements are also congruent and therefore also

side AB=BC  => AB+BC=AC,  which is chord  => 7.6+7.6=15.2 units

AC= 15.2 units ( chord )

Good luck!!!


Answer:

The correct answer is A. 15.2 units!

Step-by-step explanation:

Which system sends nutrients to all the body's cells? excretory system nervous system circulatory system endocrine system

Answers


The answer is circulatory

Answer:

circulatory system

Step-by-step explanation:

Other Questions
Evaluate the following: x= 4.1 and y= 2.3. A. 2x+3 b. 16-5y c. X+y which recorder is least recommended in automation anywhere? Please help due tomorrow the worksheet says what to do I just needs linking verbs and if the sentence is predicate adjective or predicate noun. Graph RST with vertices R(6, 6), S(3, 6), and T(0, 3) and its image after a reflection over the y-axis. If the area of a square is 29 square inches , estimate the length of each side of the square to the nearest whole number Maria is going school supply shopping. She currently needs 6 spiral notebooks at $4.99 each. She would also like to buy some 3-ring binders. Each binder cost $6.99. She knows her purchase will cost her at least $60; however, she does not want to spend any more than $80. Right and solve an inequality to determine the number of 3-ring binders Maria can buy remain within her budget. How much force is needed to accelerate a 68 kilogram skier at a rate of 1.2 m/sec^2? Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her meter as she walks laps around the mall one day. Which statement is true about the graph of the line representing Debis data? a. Debi walks 1,875 steps per lap around the mall. b. One lap around the mall is equal to about 2,425 steps. c. One lap around the mall is equal to 4,300 steps. d. Debi walks 6,175 steps per lap around the mall. Laps / Steps 0 / 1,875 1 / 4,300 2 / 6,725 3 / 9,150 4 / 11,575 Social media is becoming more important than face to face communication among teens essay 4,divided by 3,476 i need helping hand how have Texans modified the areas where they live Protagonists are always (5 points) good people strong winners bad people main characters Which factor influencing motivation would be most helpful to excel in sports question help brucebruce is taking a taxi to the airport. The taxi charges an initial fee of $44 and then $22 per mile. Write an algebraic expression for the cost of a taxi ride of m miles. Then evaluate the expression to find how much aa 55-mile taxi ride would cost brucebruce. Write an algebraic expression for the cost of a taxi ride of m miles. Choose the correct answer below. A. 44mminus22m b. 22plus+44m c. 44plus+22m your answer is correct.D. 22m upper aa 55-mile taxi ride would cost brucebruce $ nothing. What is the base 5 representation of the number 219? Infer how climate data can be used by farmers? Which of the following is not a possible sublevel? 1p 2s 3d 4f The sum of two integers is - 5. The product of the same two integers is - 36. What are the two integers? Share 420 in the ratio 2:5 What are the properties of no metals that are solid at room temperature