The quotient of 24 and x equals 14 minus 2 times x

Answers

Answer 1

Answer:

x = 3, x = 4

Step-by-step explanation:

Given

[tex]\frac{24}{x}[/tex] = 14 - 2x ( multiply through by x , x ≠ 0 )

24 = 14x - 2x² ( subtract 14x - 2x² from both sides )

2x² - 14x + 24 = 0 ( divide through by 2 )

x² - 7x + 12 = 0 ← in standard form

(x - 3)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 4 = 0 ⇒ x = 4


Related Questions

Which is the simplified form of the expression (6 Superscript negative 2 Baseline times 6 Superscript 5 Baseline) Superscript negative 3

Answers

Answer:

Superscript 16 Baseline EndFraction StartFraction 1 Over 4 x Superscript 14 y

Step-by-step explanation:

Superscript 16 Baseline EndFraction StartFraction 1 Over 4 x Superscript 14 y

Do the ratios 19/8 and 5/4 form a proportion?

Answers

Answer: No, they do not form a proportion

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Explanation:

Your teacher is effectively asking "are the fractions 19/8 and 5/4 equal?"

Let's assume for now that they are. So we have 19/8 = 5/4

To check if that is a true equation, let's cross multiply

19/8 = 5/4

19*4 = 8*5

76 = 40

The last equation is not true, so the first equation is also not true. The ratios are not in proportion.

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Alternative method:

Instead of cross multiplying, we can get all the fractions to have the same denominator. The LCD (lowest common denominator) of the two given fractions is 8. Let's turn 5/4 into a fraction with 8 in the denominator.

We'll multiply top and bottom by 2 to get 5/4 turning into 10/8

Now we're asking "are 19/8 and 10/8 the same?" in which the answer is "no they are not the same". The numerators 19 and 10 are different. The fraction 19/8 is larger than 10/8. So 19/8 is larger than 5/4.

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2nd Alternative method:

Use your calculator to see that

19/8 = 2.375

5/4 = 1.25

The decimal values should be the same if the fractions were equal, but they are not. This is a very quick way to compare two fractions.

Answer:

no

Step-by-step explanation:

because they are not equivalent to each other.

what expression is equivalent to 2x+3y-x-(8+1)

Answers

Answer:

Step-by-step explanation:

2x + 3y - x - 9

x + 3y - 9

Which of the following is another way to express the difference between -5 and 8

Answers

Answer:

-5 - 8 = -13

Another way to express the difference is:

-8 + (-5) = 13

Step-by-step explanation:

(Picture)

Answer:

-5 - (-8)

Step-by-step explanation:

symplify 2x2 + 4xl-5x2 +9

Answers

Answer:  

Simplify the expression.

− 3 x² +  4 x l  + 9

Answer:

7

Step-by-step explanation:

The answer turns out to be 7

What is the domain of the function represented in the graph?

Answers

Answer:

0-t-14

Step-by-step explanation:

Its the first one I don't want to type

If AB = 20, and BC = 10, what is AC?

Answers

I believe it would be 15
I would say 30 since AB and BC would be individual parts of AC. If AB is 20 and BC is 10, add 20+10 and you would get 30 from point A to C.

A customer wants to put in a concrete driveway that is 10" thick. How much concrete would it take to pour a driveway that measures 18' by 42'? Express your answer in cubic yards.

Answers

Answer: 22.59 yd^3

Step-by-step explanation:

First the volume of a cuboid whose measurements are:

L = length, W = width and T = thiknes is:

V = L*W*T.

We want to calculate the volume of a shape that is:

10'' thick, 18' wide and 42' long.

This notation is:

(') = feet

('') = inches

The first step is to write our 3 numbers in the same units, then we can use that:

1 inch = 0.083 ft.

Then 10 inches are equal to:

10'' = 10*(0.083 ft) = 0.83 ft = 0.83'

Then the volume of concrete needed will be:

V = 0.83ft*18ft*42ft = 627.48 ft^3

But we want this expressed in yd^3

1ft = 0.33 yd

then

1ft^3 = (0.33 yd)^3 = 0.036 yd^3

then 627.48 ft^3 can be written as:

627.48 ft^3 = 627.48*( 0.036 yd^3) = 22.59 yd^3

This trip the family will spend $117.96. The next trip they will spend $119.27. This is an increase of ($117.96 − $119.27) or an increase of $1.31. What is the percent of increase? Round your answer to the nearest whole percent.

Answers

Answer:

1%

Step-by-step explanation:

To find the percent increase, take the difference over the original amount

1.31/ 117.96

.011105459

Change to percent form

1.110545948%

To the nearest percent

1%

Please help! On my 2nd attempt again. '-'

Answers

Answer:

9?

Step-by-step explanation:

just try imputing number until you get the closet to what you need(Don't Take my answer as a fasho I haven't done this in a while

Which set of orderd pairs is a function A.( -6, -4 ), (-4, -2) , ( 0, 0 ), (-4, 2 ) ,( -6, 4) B. ( -2 , 1 ) , (-4, 2) , ( 0, 3) , ( 4, 1) , (-2 , 5 ) C. (-1 , 5) , ( -1 , 4) , (-1 , 3) , ( -1 , 2) , (-1, 1 ) D. ( -5, 1 ) , (-3 ,2), ( -1, 3) , (1, 4) , (3, 5

Answers

Answer:

The answer is D

Step-by-step explanation:

To be a function, you cannot have the same x values.

Someone help me
10-14x-7-7x=6​

Answers

Answer: your answer is going to be 1/7

Step-by-step explanation:

Answer:

x = -1/7

Step-by-step explanation:

First, combine like terms:

3 - 21x = 6

Then, isolate the variable:

-21x = 3

Then, divide -21 on both sides:

x = -3/21

Finally, simplify the fraction:

x = -1/7

Hope this helps!

6x^2y^3 + 9xy^4 - 12x^3y

Answers

Answer:

3xy(2xy2+3y3−4x2)

Step-by-step explanation:

WHy is an assingment so hard or at least why do they make it difficult

Answers

Answer:

for the teacher to see are u a hard working student

Step-by-step explanation:

I need help with this problem, i am confused and don't know what to do.​

Answers

Problems a through c are asking you what the values would be at those values.

What will the value of [tex]f(x)[/tex] be at [tex]x=0[/tex]? Let's look at the graph.

It seems at [tex]x=0[/tex], [tex]f(x)=0[/tex], meaning that [tex]f(0)=0[/tex]

Let's do the same for the others.

At [tex]x=-3[/tex], [tex]f(-3)=2[/tex]

At [tex]x=2[/tex], [tex]f(2)=-4[/tex]

For the last question, it is giving us the [tex]f(x)[/tex] value and asking us which [tex]x[/tex] values would give us that.

At [tex]f(x)=3[/tex], [tex]x=-2[/tex].

*Note* this function is continuous to the right, meaning that there is another point where [tex]f(x)=3[/tex].

Hope this helps.

頑張って!

Solve b− 3 16 = 5 16 b−316=516 . b=

Answers

ERROR CODE 3675 233 ERROR

Where can we put parentheses in 2 x 3+1+2 to make it equivalent to 12?

Answers

2(3+1+2) is equivalent to 12

Select the equivalent expression.

Answers

Answer:

Step-by-step explanation:

a^-4 x 8^14

the solution is C

If f and g are functions, then (fog)(x) is always equal to (gof)(x)

true or false

Answers

Answer:

False

Step-by-step explanation:

Here is a counter example:

● f(x) = x^2

● g(x) = 3x

● (f○g)(x) = (3x)^2 = 9x^2 (1)

● (g○f)(x) = 3(x^2) = 3x^2 (2)

We can see that (1) and (2) aren't equal to each others.

The given statement is False

The following information should be considered:

[tex]f(x) = x^2\\\\g(x) = 3x\\\\(fog)(x) = (3x)^2 = 9x^2 (1)\\\\(gof)(x) = 3(x^2) = 3x^2 (2)[/tex]

based on the above calculations we can see that equation (1) and equation (2) are not equal to each other.

Learn more: https://brainly.com/question/1605083?referrer=searchResults

HELP QUICK!!!! PLEASE FIVE AN EXPLANATION ALSO!!! HELP!!!

Answers

Answer:

A) 2

Step-by-step explanation:

Somebody HELPPPPPSelect the correct answer. What is the value of this expression if a = - 7 and b = -37 a3 - b2​

Answers

answer:

53

reason:

substitute a with -7 and b with -37
this makes the equation (-7)3 - (-37)2, which equals 53

Negative seven multiply three minus negative thirty seven multiply two equal to seventy four minus twenty one equal to fifty three.

i need the answer to this problem

Answers

Answer:

c/4 is 7 and c is 28

Step-by-step explanation:

Answer:   Answer in steps

Step-by-step explanation:

[tex]\frac{c}{4} -12 = -5[/tex]    Add 12 to both sides  

[tex]\frac{c}{4} = 7[/tex]       Now multiply both sides by 4

c= 28

Plz help me I'm real confused haha

Answers

Answer:

3 = D

4 = I

6 = G

7 = J

8 = B

9 = A & C

10 = H

Step-by-step explanation:

Anthony Harris earns $0.50 per hamper of heirloom tomatoes. One day he picked 43 hampers-worth. What was his total pay that day?​

Answers

Answer:

$21.50

Step-by-step explanation:

We want to find Anthony's pay for 43 hampers.

We can multiply his pay per hamper by the number of hampers picked.

pay per hamper * hampers picked

He earns $0.50 for each hamper and he picked 43 hampers. Therefore, we can multiply $0.50 and 43 to find his pay for the day.

$0.50 * 43

$21.5 = $21.50

Anthony's total pay that day is $21.50.

Please help! If possible, please word your explanation simply.

Answers

Answer: It is because if ∠N and ∠K are congruent and are same in size and shape.

Answer:

KLM is equal to NLM because in order to share a bisector, they have to have the same length. Also we can assume that <L and <M are the same since they share the same vertex, making both triangles equal.

Step-by-step explanation:

Hi I'm not really good at least to greatest but can I have help.

Answers

Answer:

the answer is c.

c shows the correct order.

Step-by-step explanation:

i hope this helps you! <33

Answer:

for negative the  highest number is the least, I believe and for positive numbers the least number is just the one that is the smallest  Step-by-step explanation:

If there are a total of 20 data values , with what frequency does the data value 3 occur

Answers

Answer:

Question: The Relative Frequencies For A Set Of Data Are Shown In The Table Below. Value Relative Frequency 1 0.15 2 0.10 3 0.45 4 0.30 If There Are A Total Of 20 Data Values, With What Frequency Does The Data Value 3 Occur?

Step-by-step explanation:

8(2f-3)=4f

Can anybody give an explanation and answer ? Algebra 1 ?

Answers

Answer:

2

Step-by-step explanation:

16f - 24 = 4f

12f = 24

f = 2

is -10 greather than -7​

Answers

Answer:

no

Step-by-step explanation:

-7 is bigger

Answer:

no, its less

Step-by-step explanation:

because in negatives the higher the number is (ex: -10) the less the value is, so its the opposite of positive numbers

Write the slope intercept form of the equation.
Y=Mx+b

PLEASE SHOW WORK

Answers

Answer:

See below (I hope this helps!)

Step-by-step explanation:

We need to write this in the form y = mx + b.

x + 3y = -12

3y = -x - 12

[tex]y = \frac{1}{3}x - 4[/tex]

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