A student solves the following equation and determines that the solution is −2. Is the student correct? Explain.

3/a + 2 − 6a/a2 − 4 = 1/a − 2

Answers

Answer 1

Answer:

No, the student did not check the solution to the derived equation in the original equation.

No, a possible solution is a = –2, but it does not check in the original equation because it makes two of the denominators equal to zero.

No, a = –2 is an extraneous solution, and there is no solution to the original rational equation.

Step-by-step explanation:

just did on edge good luck!

Answer 2

The student is wrong in his answer to the equation

3/a + 2 − 6a/2a − 4 = 1/a − 2 is - 2, the correct answer is 2/3.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, 3/a + 2 − 6a/2a − 4 = 1/a − 2.

3/a + 2 - 3 - 4 = 1/a - 2.

3/a - 1/a = 3.

2/a = 3.

a/2 = 1/3.

a = 2/3.

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Related Questions

petition to take down brains honor code because no one reads it

Answers

Answer:

I read it.. I don't know.. It's just saying we can't really cheat, it's not too bad.

PLZ HELP EASYY 10 POINTS *easy*

Answers

Answer:  what the other guy said 69

Step-by-step explanation:

Answer:

Cant you just look it up?

Step-by-step explanation:

Please only answer if your certain it will mean a lot I can give extra points or brain list if you like or a thanks please don’t put anything Radom or a lie thank you

Answers

Answer:

Ms. Cortez earns 500 dollars for working 30 hours.  It's the last choice.

Step-by-step explanation:

You just have to substitute 30 into the equation in place of x, since x represents hours.

f(30) = 50 + 15(30)

f(30) = 50 + 450

f(30 = 500

how do raise a power to a power

Answers

Answer: The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.

Step-by-step explanation:

Item 4 Question 1 Determine of which lines, if any, are parallel or perpendicular. Explain. Line a passes through (−2, 1) and (0, 3) . Line b passes through (4, 1) and (6, 4) . Line c passes through (1, 3) and (4, 1) .

Answers

Answer:

Line b and line c are perpendicular.

Step-by-step explanation:

In order to find if the lines are parallel, perpendicular or neither, their slopes have to be found.

Slope is denoted by m and is calculated as:

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

Here (x1,y1) and (x2,y2) are the coordinates of the point through which the line passes.

Let m1 be the slope of line a

and line a passes through (−2, 1) and (0, 3)

[tex]m_1 = \frac{3-1}{0+2} = \frac{2}{2} = 1[/tex]

Let m2 be the slope of line b which passes through (4, 1) and (6, 4)

[tex]m_2 = \frac{4-1}{6-4} = \frac{3}{2}[/tex]

Let m3 be the slope of line c which passes through (1, 3) and (4, 1)

[tex]m_3 = \frac{1-3}{4-1} = \frac{-2}{3}[/tex]

When two lines are parallel, their slopes are equal.

When two lines are parallel, the product of their slope is -1

None of the slopes are equal to each other so none of the lines are parallel

And

[tex]m2.m3\\= \frac{3}{2} * -\frac{2}{3}\\= -1[/tex]

Hence,

Line b and line c are perpendicular.


PLEASE HELP ME FIGURE THIS OUT

Answers

Answer:

1. x = 8

2. w = -13

3. y = 108 (i am not sure for this one).

4.  z = -159

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

NEED HELP ASAP

Consider the following vectors in polar form.

|u| = 2 at ∠0°

|v| = 4 at ∠45°

What is the magnitude of vector w, if w = u – v?

|w| = 2.77
|w| = 2.95
|w| = 3.58
|w| = 5.60

Answers

Answer:

B 2.95

Step-by-step explanation:

The magnitude of w is |w| = 2.95 , Option B is the correct answer.

What is a Vector ?

Any object that has both magnitude and direction is called a Vector.

It is given that

|u| = 2 at 0 degree

|v| = 4 at 45 degree

The magnitude of the vector w = | u -v| = ?

The resultant angle will be 45 degree

By applying Cosine law

w = | u -v| = [tex]\rm \sqrt { u^2 + v^2 - 2*u*v*cos \theta}[/tex]

w = | u -v| = [tex]\rm \sqrt { 2^2 + 4^2 - 2*2*4*cos 45^o}[/tex]

w = 2.947 = 2.95

Therefore the magnitude of w is |w| = 2.95 , Option B is the correct answer.

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PLEASE HELP W/ MATH QUESTION
( WILL MARK BRAINLIEST )

Answers

Answer:

rate of change is 2

Step-by-step explanation:

better thank this

i need major help on this question try your best

Answers

First find sq 17 and sq 12
sq 17 = 4.123
sq 12 = 3.464
Now you can list them from greatest to least
5.03709...
4.923935
sq 17
sq 12

can someone pleasehelp answer these in the next 30 minutes. ILL GIVE A BRANIEST TO WHOEVER ANSWERS THE CORRECTLY. tysm if u help :)

Answers

Answer:

Step-by-step explanation:

1 in: 30 km

4.3 inches * 30km= 129 km

Since every inch is the same as 30 km.

Second problem

20 test: 163 mins

8.15 mins per test

44*8.15= 358.6 mins round to the nearest whole is 359 mins

The value of the function g(x) is −2 when x=−5 and is 5.7 when x=6. What is the equation for the function g(x)?(1 point)

Answers

Given:

The value of the function g(x) is −2 when x=−5 and is 5.7 when x=6.

To find:

The equation of the function.

Solution:

The value of the function g(x) is −2 when x=−5. It means the graph of function passes through (-5,-2).

The value of the function g(x) is 5.7 when x=6. It means the graph of function passes through (6,5.7).

The equation of function g(x) that passes through (-5,-2) and (6,5.7) is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{5.7-(-2)}{6-(-5)}(x-(-5))[/tex]

[tex]y+2=\dfrac{5.7+2}{6+5}(x+5)[/tex]

[tex]y+2=\dfrac{7.7}{11}(x+5)[/tex]

[tex]y+2=0.7(x+5)[/tex]

[tex]y+2=0.7x+3.5[/tex]

Subtract 2 from both sides.

[tex]y=0.7x+3.5-2[/tex]

[tex]y=0.7x+1.5[/tex]

Therefore, the equation of function g(x) is [tex]y=0.7x+1.5[/tex].

Solve the Equation:

5x- 17 - (8x + 3) = 14

SHOW YOUR WORK

Answers

Answer:

5x-17-8x-3=14

-3x=14+17

x=31/-3

x=8.333333

The Suarez family paid $14.25 for 3 movie tickets. How much would they have paid for 9 tickets?

Answers

Answer:

$42.75

Step-by-step explanation:

14.25

x     3

---------

42.75

Answer:$42.75

Step-by-step explanation: You just take the $14.25 and triple it.

Solve the systems of equations by graphing.

Answers

Answer:

I'm not that smart :/

Step-by-step explanation:

You paid $52.93 for a shirt at an academy. The total included $4.37 for tax...(the tax rate is 9%) what was the price of the shirt WITHOUT TAX

Answers

Answer:

The answer is really simple

Step-by-step explanation:

52.93-4.37 which is 48.56

War Eagle spied 1428 antelope and wildebeests grazing on the savannah. If the ratio of antelope to wildebeests was 9 to 5, how many antelope were there? (Answer is 918 but idk how to solve it.....)

Answers

Answer:

9:5 = 1428:x

ratios can also be written as fractions, so

9/5 = 1428/x

solve for x

9/5 × x = 1428

x = 1428 / (9/5)

x = 918

A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $243 on props, and 55% of the total budget on costumes. What was the total budget for their student film?

Answers

Answer:

The total budget for their student film was $540

Step-by-step explanation:

The total percentage of any quantity is 100%

∵ A group of friends was working on a student film

∵ They spent all their budget on props and costumes

The total budget of the props and costumes = 100%

∵ They spent $243 on props

∵ They spent 55% of the total budget on costumes

→ Find the percentage of the props

∴ The percentage of the props = 100% - 55%

The percentage of the props of the total budget = 45%

→ That means 45% of the total budget = 243

45% × total budget = 243

→ Change the percent to a number by divide it by 100

∵ 45% = 45 ÷ 100 = 0.45

0.45 × total budget = 243

→ Divide both sides by 0.45

The total budget = 540

The total budget for their student film was $540

Answer:

154

Step-by-step explanation:

plsss helppp meeeee!!!!!!!

Answers

The answer is $49.70!

also, can i get brainly to level up :)
I think it’s $49.70 because 710*0.07= 49.70

Please Help! I'll Give BRAINLIEST!!!!!!!!! Please Answer FILL IN ALL 15!!!!!!!!!

Find the missing angle measures (in degrees). ). There is 15 total. Lines c and d are parallel and Lines a and b are parallel.

Answers

Answer:

150°50°50°30°70°50°60°40°40°50°50°130°140°40°140°

Write the inequality for each sentence
The difference of a number and six is no less than 15
25 plus a number is at least 13
g decreased by 25 is at most five

Answers

Answer:

a) The difference of a number and six is no less than 15

x - 6 ≥ 15

b) 25 plus a number is at least 13

25 + x ≥ 13

c) g decreased by 25 is at most five

g - 25 ≤ 5

Step-by-step explanation:

a) The difference of a number and six is no less than 15

Let the number be represented by x

We difference is involved in a mathematics question, it requires the application of Subtraction operation, hence:

x - 6 ≥ 15

b) 25 plus a number is at least 13

Let the unknown number be represented by x

When at least is used in Mathematics, is means greater than or equal to a particular value,

Hence,

25 + x ≥ 13

c) g decreased by 25 is at most five

At most means less than or equal to a particular value, hence:

g - 25 ≤ 5

question: Which number is divisible by 5 and 10?
answers:
A: 25
B: 995
C: 1,205
D: 9,450

lol please help, my homeschooling program didn't explain this well enough

Answers

Answer:

9,450

Step-by-step explanation:

10 cant go into the others because they end with a 5

How do I do functions with graphs?

Answers

Answer:

the function would by labeled y

Mr. Anders and Ms. Rich each drove home form a business meeting. Mr. Anders traveled east at 100 kilometers per hour and Ms. Rich traveled west at 80 kilometers per hour. In how many hours were they 3600 kilometers apart?

Answers

Answer:

180 hours

Step-by-step explanation:

Hope this helps

A company's cereal boxes advertise that 9.65 ounces of cereal are contained in each box. In fact, the amount of cereal in a randomly selected box follows a normal distribution with mean LaTeX: \muμ = 9.70 ounces and standard deviation LaTeX: \sigmaσ = 0.03 ounces. A quality control worker selects a random sample of 5 cereal boxes. What is the standard deviation LaTeX: \sigma_{\frac{ }{x}}σ x(in ounces) of this sampling distribution?

Answers

Answer:

The standard deviation of the sampling distribution    σₓ = 0.013

Step-by-step explanation:

Explanation:-

Mean of the Population  μ = 9.70 ounces

Standard deviation of the Population σ = 0.03 ounces

Given size of random sample 'n' =5

The standard deviation of the sampling distribution

               σₓ = σ/√n

            [tex]S.D = \frac{0.03}{\sqrt{5} } = 0.013[/tex]

         

Graph the Line y=4x−3

Answers

Do U have a picture???


I just need help with this problem. Show work if possible. Thanks!

Answers

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf 2x^3+20x^2+2ax^2+20ax [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x^2 (x+10)+2ax (x+10)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf (x+10)2x^2+2ax[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf (x+10)2x (x+a)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x (x+a)(x+10)[/tex]

Pretty please help me:)

Answers

Answer:

Step-by-step explanation:

a. Yes is proportional with the cost because they depend on one another

b. (0,0) means if we buy 0 cookies we pay $0

c. (1, 0.50) means that if we buy 1 cookie we have to pay $0.50

d. the unit rate is how much we pay for one cookie so is $0.50 per 1 cookie

5x -6y = 0 what is the x-intercept

Answers

Answer:

0

Step-by-step explanation:

Five movie tickets cost $42.50. How much do 4 movie tickets cost

Answers

Answer:

34.00 $

Step-by-step explanation:

42.50:5= 8.50$ each

8.50*4= 34$

Allison has two similar square blocks.she finds that one side of the larger square is 3 times the side of the smaller square. What is true about the area of the larger square? Answer plz?

Answers

Answer: The area of the larger square is 9 times the area of the smaller square.

Step-by-step explanation:

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