Please turn this word problem into an equation.... Braden and Michael are running laps. Braden runs 3 less than twice as many as Michael. Together they run 12 laps.

Answer:

(x - 3)(x - 2)(x + 2)

Step-by-step explanation:

Given

x³ - 3x² - 4x + 12 ( factor the first/second and third/fourth terms )

= x²(x - 3) - 4(x - 3) ← factor out (x - 3) from each term

= (x - 3)(x² - 4) ← x² - 4 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), thus

x² - 4

= x² - 2²

= (x - 2)(x + 2)

Thus

x³ - 3x² - 4x + 12 = (x - 3)(x - 2)(x + 2) ← in factored form

Answer:

(x - 2)(x - 3)(x + 2).

Step-by-step explanation:

The Factor Theorem states that if x - a is a factor of f(x) the f(a) = 0.

f(x) = x^3 - 3x^2 - 4x + 12​

We try the factors of 12:

f(2) =  2^3 - 3*4 - 8 +12

= 8 - 12 - 8 + 12  = 0

- so (x - 2) is a factor of f(x)

Dividing:

        x^2  -  x -  6            <-----------Quotient

       -----------------------------

x - 2 )x^3 - 3x^2 - 4x + 12​

        x^3 - 2x^2

                  -x^2 - 4x

                  -x^2 + 2x

                          -6x + 12

                          -6x + 12

So we factor x^2 - x - 6:

= (x - 3)(x + 2)

Answer:

x = 1/2 thus Line 3 is false

Step-by-step explanation:

Solve for x:

10 - 2 x = 14 x + 2

Hint: | Move terms with x to the left hand side.

Subtract 14 x from both sides:

10 + (-2 x - 14 x) = (14 x - 14 x) + 2

Hint: | Combine like terms in -2 x - 14 x.

-2 x - 14 x = -16 x:

-16 x + 10 = (14 x - 14 x) + 2

Hint: | Look for the difference of two identical terms.

14 x - 14 x = 0:

10 - 16 x = 2

Hint: | Isolate terms with x to the left hand side.

Subtract 10 from both sides:

(10 - 10) - 16 x = 2 - 10

Hint: | Look for the difference of two identical terms.

10 - 10 = 0:

-16 x = 2 - 10

Hint: | Evaluate 2 - 10.

2 - 10 = -8:

-16 x = -8

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -16 x = -8 by -16:

(-16 x)/(-16) = (-8)/(-16)

Hint: | Any nonzero number divided by itself is one.

(-16)/(-16) = 1:

x = (-8)/(-16)

Hint: | Reduce (-8)/(-16) to lowest terms. Start by finding the GCD of -8 and -16.

The gcd of -8 and -16 is -8, so (-8)/(-16) = (-8×1)/(-8×2) = (-8)/(-8)×1/2 = 1/2:

Answer: x = 1/2

Answer:

The answer is

[tex] {16}^{2} [/tex]

Answer:

(3,5)

∧

this is x number

Step-by-step explanation:

the x number is left and right movement. if you move 3 units left you would subtract 3 from the x number. so 6-3=3 and you don't have to do anything on the y value because you don't move it.

Answer:

(3,5)

Step-by-step explanation:

When using graphs:

X-axis:

Y-axis:

When writing points on a graph, it should be (X,Y)

So (6,5) all you have to do is subtract 3 from 6(6-3=3) so your final answer should be (3,5)

Hopefully this helps :)

Answer:

10y-10

Step-by-step explanation:

2 terms

Answer:

The pairs ( 1 , 2 ) and ( 2 , 1 ) are not equal because their respective elements are not equal.

Step-by-step explanation:

The pair of elements which are in specific order is called an ordered pair. The pair ( 1 , 2 ) is not same as the pair ( 2 , 1 ). In the pair ( 1 , 2 ) 1 is in the first position and 2 is in the second position. In the pair ( 2 , 1 ), 2 is in the first position and 1 is in the second position.

Two ordered pairs ( a , b ) and (c , d ) are said to be equal if a = c and b = d. We write ( a , b ) = ( c , d ).

Hope I helped!

Best regards!!

Learn more:

brainly.in/question/20738422

Answer:

P[ x >= 5 ]  = 0,005487  

Step-by-step explanation:

The possibility of the student to answer correctly one question is 1/3

We have three answers and only one is right.

The possibility of answer at least 5 right question is:

Possibility of answer 6 question plus the possibility of answer 5 questions

The possibility of answering at least 5 answers are correct is:

To answer 2 questions  1/3*1/3   =  1/9

To answer three    1/3*1/3*1/3   =  1/ 27

To answer 5   is  1/3*1/3*1/3*1/3*1/3   =  1/243

And to answer all the question right is (6) is  1/729

Therefore probability of answer at least 5 right questions is

P[ x >= 5 ]  = P [5] + P [6]

P[ x >= 5 ]  =  1/ 243  + 1/729

P[ x >= 5 ]  = 972/ 177147

P[ x >= 5 ]  = 0,005487            

Answer:

Step-by-step explanation:

You have shared only one graph, that of a quadratic function with vertex at (0, 0) and an equation based upon y = ax^2, where a is a constant coefficient.

Please go back to the source of  your question and describe the other graphs that were given to you.

The graph that shows a straight line is the linear function.

Each point is of the form (x,y). We replace x with some number to get a paired y value.

For instance, if x = 1, then,

[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-1}\\\\y = \sqrt{4}\\\\y = 2[/tex]

Meaning x = 1 and y = 2 pair up. The point (x,y) = (1,2) is on the curve.

Then let's try x = 4

[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-4}\\\\y = \sqrt{1}\\\\y = 1[/tex]

Showing (4,1) is also on the curve.

The point (5,0) is also on the curve too because of the steps below

[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-5}\\\\y = \sqrt{0}\\\\y = 0[/tex]

We can't go any higher than x = 5 or else the expression 5-x will be negative. Eg: if x = 7, then 5-x = 5-7 = -2. We cannot take the square root of a negative and get some real number output.

So let's go in the opposite direction. Let's try x = -4

[tex]y = \sqrt{5-x}\\\\y = \sqrt{5-(-4)}\\\\y=\sqrt{5+4}\\\\y = \sqrt{9}\\\\y = 3[/tex]

Showing (-4,3) is also on the curve.

The x values I'm picking are such that the y value is an integer. For the majority of the x values, you'll get some decimal value which is a bit tricky to graph on paper. So effectively you'll have to use trial and error to find the right x values to pick. The goal is to get the stuff under the square root to simplify to some perfect square (0,1,4,9,...etc)

After generating enough points, you draw a curve through them all. The more points, the more accurate the graph.

Responda :

R $ 10.530

Explicação passo a passo:

Investimento inicial = R $ 5.000

Apreciação no primeiro ano = 35%

Apreciação no segundo ano = 20% em relação ao primeiro ano

Valorização no terceiro ano = 30% em relação ao segundo ano

Se o investimento se valorizar em 35% no primeiro ano:

35% do investimento: 0,35 × R $ 5.000 = R $ 1.750

Total após o primeiro ano = R $ (5.000 + 1.750) = R $ 6.750

2º ano:

Valorização de 20% em relação ao primeiro ano:

20% de 6750 = 0,20 * 6750 = R $ 1.350

Total = (6.750 + 1.350) = R $ 8.100

3 º ano:

Valorização de 30% em relação ao segundo ano:

30% de 8100 = 0,30 * 8100 = R $ 2.430

Total = (8.100 + 2.430) = R $ 10.530

No final do terceiro ano:

R $ 10.530

Answer:

Please who knows the full question to this problem am unable to see the full question.....

Volume varies 1/P.

V=K/P.

21=K/1.

K=21.

The relation is V=21/P.

....if P=0.7 and K=21.

and the relation to solve the question is V=21/P then put the value of P in the formula which will be...

V=21/0.7.

V=30m^3.

This is my answer..i hope it helps

Answer:

2x +5y -20

Step-by-step explanation:

-x - 3y - 20 + 3x + 8y

Combine like terms

-x+ 3x  - 3y+ 8y - 20

2x +5y -20

Answer:

2x + 5y - 20

Step-by-step explanation:

-x + 3x = 2x

-3y + 8y = 5y

Answer:

33°

Step-by-step explanation:

A right triangle is formed based on the information given.

Use trigonometric ratio formula to find the number of degrees of the angle indicated with "?".

Let the angle = x°

162.5 yds is opposite to x°

298 yds is the hypotenuse of the right triangle formed.

Therefore, [tex] sin(x) = \frac{opposite}{hypotenuse} [/tex]

[tex] sin(x) = \frac{162.5}{298} [/tex]

[tex] sin(x) = 0.5453 [/tex]

[tex] x = sin^{-1}(0.5453) [/tex]

[tex] x = 0.5453 [/tex]

[tex] x = 33.0 [/tex]

Answer:

The intersect of typing and accounting ( T ∩ A ).

Step-by-step explanation:

if 200 student study typing;

200 study accounting;

the set rule pictures this as;

       typing( T ) = { 200 typing student }

       accounting ( A )= { 200 accounting student }

To get the number of students enrolled for both courses;

  We intersect the typing and accounting sets values.

  that is;  

               students enrolled for both courses = T ∩ A

Answer:

EQUATION IS GIVEN BELOW.

Step-by-step explanation:

let the number be 'x'

now,

x+12 =36

or, x=36-12

therefore,x=24

Answer:

2 11/12 cups of flour

Step-by-step explanation:

well 2 recipes is 2 1/2 cups of flour

1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12

so 2 11/12 cups of flour

Answer:

3 square fhfhfjshxfjkzkdjzhx h2jxfjwjznnznzn

Answer:

Inverse property of multiplication

Step-by-step explanation:

0.06 es la repuesta

Step-by-step explanation:

Aqui esta como lo podias aser:

1. 3x + 30=80

-30. -30

3x=50

÷3. ÷3

Necesitas que divinir 50 en 3

3(0.06) + 30=80 x=0.06

Answer:

Step-by-step explanation:

Formula to use to get the speed is expressed as speed = Distance/Time

Given parameters

Distance = 94km

Time = 7.5weeks

Since we are to express the answer in feet per day, we will convert the distance to feet and time to days.

For the distance:

Given the conversion

1 km = 3280.84 feet

95km = (95*3280.84)feet

95km = 311,679.8 feet

For the time:

If 1 week = 7 days

7.5weeks = (7.5 * 7)

7.5weeks = 52.5 days

Speed In ft/day =  311,679.8 feet/ 52.5 days

Speed in ft/day = 5,936.76 feet/day

Hence the speed in feet per day is  5,936.76 feet/day

Answer:

You're looking for the graph [tex]y=2x[/tex]

Step-by-step explanation:

If Estelle is raking in leaves at a constant rate, which we usually assume for cases like this, we're looking for a function of the form

[tex]y=kx+m[/tex]

x here is going to be the number of hours, or time.

y is going to be the number of bags she has raked in.

First of all, we know that at time 0, she hasn't raked in any leaves. So when x is 0, we know y is 0. Let's put these values in our function.

[tex]0 = k * 0 + m[/tex]

[tex]0 = 0 + m[/tex]

[tex]m = 0[/tex]

We now know m is 0.

We also know that after 1 hour, Estelle has 2 bags of leaves. So when x is 1, y will be 2. Let's put these values in.

[tex]2 = k*1[/tex]

We're excluding m as we know it's 0.

[tex]k=2[/tex]

So k is 2, and m is 0. Let's put these values in our original function [tex]y=kx+m[/tex]:

[tex]y = 2x + 0[/tex]

[tex]y=2x[/tex]

The equation is y=2x.

Putting this into a graphing calculator, we get this graph (attached).

Answer and Step-by-step explanation:

The computation of the class width for a frequency is shown below:

Class width is

[tex]= \frac{Range}{Number\ of\ class} \\\\ = \frac{96 - 20}{7}[/tex]

= 10.86

= 11

Now the class limits for a frequency table

Particulars      Lower class limit to upper class limit

First class          20 - 30

Second class    31 - 41

Third class        42 - 52

Fourth class      53 - 63

Fifth class         64  74

Six class           75 - 85

Seventh class   86 - 96

The class width for a frequency table with seven classes is 10.86.

The class limits for a frequency table with seven classes are;

Particulars      Lower class limit to upper class limit

First-class          20 - 30

Second class    31 - 41

Third class        42 - 52

Fourth class      53 - 63

Fifth class         64  74

Six class           75 - 85

Seventh class   86 - 96

A data set with whole numbers has a low value of 20 and a high value of 96.

1. The class width for a frequency table with seven classes is;

[tex]\rm Frequency = \dfrac{Highest \ term - lowest\ term }{Class}\\\\ Frequency = \dfrac{96-20}{7}\\\\ Frequency = \dfrac{76}{7}\\\\ Frequency =10.86[/tex]

The class width for a frequency table with seven classes is 10.86.

2. The class limits for a frequency table with seven classes are;

Particulars      Lower class limit to upper class limit

First-class          20 - 30

Second class    31 - 41

Third class        42 - 52

Fourth class      53 - 63

Fifth class         64  74

Six class           75 - 85

Seventh class   86 - 96

To know more about Frequency click the link given below.

https://brainly.com/question/17678599

Answer:

350 sq ft

Step-by-step explanation:

Given that:

840 sq ft area has a bedroom, kitchen and bathroom.

Let the area of bedroom be [tex]x[/tex] sq ft.

Then the area of kitchen will also be [tex]x[/tex] sq ft.

Let the area of bathroom be [tex]y[/tex] sq ft.

As per question statement:

[tex]x+y+x=840\\\Rightarrow 2x+y=840 ...... (1)[/tex]

Tiles ordered to cover two kitchens and two bathrooms is 980 sq ft.

i.e.

[tex]2x+2y=980 ..... (2)[/tex]

Subtracting equation (1) from (2):

i.e. (2) - (1):

[tex]y = 140[/tex] sq ft

Putting the value of [tex]y[/tex] in (1):

[tex]2x+140=840\\\Rightarrow 2x =700\\\Rightarrow \bold{x=350\ sq\ ft}[/tex]

Therefore, the carpet needed for each bedroom = 350 sq ft

Answer:

width = 8 inches

length = 10 inches

Step-by-step explanation:

width= 12/1.5

= 8

length = 15/1.5

= 10

Answer:

C(h) = 50h + 25

$425

Step-by-step explanation:

Et the plumber works for h hours.

Cost of one hour = $50

Therefore, cost of h hours = $50h

Total cost = cost of h hours + plumber service call charge

C(h) = 50h + 25 (required equation)

Plug h = 8

C(8) = 50* 8 + 25 = 400 + 25 = $425

Answer:

Answer Choice A: -1.8

Step-by-step explanation:

That's the closest to a middle value between -3.8 and 0 on the number line of the answer choices given.

Answer:

False

Step-by-step explanation:

Geometric series have ratios.

The ratio here is 2.

So the next term should be -8.

Answer:

16x +2y +9

Step-by-step explanation:

I hope this helps. Just combine the numbers with the same Variable/letter. That's why only 7x and 9x were combined together

Answer: 12 days

Step-by-step explanation:

Answer:

Plant B

Step-by-step explanation:

The only measure of variation we really need to check is the mean, or average, of tomatoes that each plant produced. This is because if Kathryn was a farmer, she would want a plant that on average, produces more tomatoes. For that reason, in this context, the mode, median and range are irrelevant. To find the mean of a data set, you simply divide the sum of all of the data by the number of data in the set. Therefore:

Mean of Plant A: (4 + 6 + 7 + 3 + 6 + 2 + 1 + 3 + 6 + 5) / 10 = 43 / 10 = 4.3

Mean of Plant B: (5 + 6 + 7 + 6 + 8 + 9 + 6 + 7 + 8 + 9) / 10 = 71 / 10 = 7.1

As you can see, the mean tomatoes Plant B produces is larger than that of Plant A, therefore, Kathryn should choose Plant B if she was a farmer.