how do i factor 6x squared-12x?

Answer:

(4x−3)(3x²+2)

Step-by-step explanation:

Factor 12x3−9x2+8x−6

12x3−9x2+8x−6

=(4x−3)(3x2+2)

The factored form of the expression 12x³ - 9x² + 8x - 6 by grouping is (3x² + 2)(4x - 3).

To factor the expression 12x³ - 9x² + 8x - 6 by grouping, we can group the terms in pairs and factor out the common factors.

Step 1: Group the terms in pairs

(12x³ - 9x²) + (8x - 6)

Step 2: Factor out the greatest common factor from each pair

3x²(4x - 3) + 2(4x - 3)

Step 3: Notice that both terms now have a common factor of (4x - 3)

(3x² + 2)(4x - 3)

Therefore, the factored form of the expression 12x³ - 9x² + 8x - 6 by grouping is (3x² + 2)(4x - 3).

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Answer:

Broker Q’s commission will be $13.56 less than Broker P’s

Step-by-step explanation:

Answer:

Broker Q will give Diana the better deal by $13.56.

Step-by-step explanation:

Diana wants to purchase a par value $1000 corporate bond. Broker P charges 4.4% of the market value, so the commission would be $46.06008 per bond. On the other hand, Broker Q would only charge $32.50 for each bond; due to this, the difference would be $13.56 in favor of Broker Q.

Answer:

The answer is 176

Step-by-step explanation:

The answer is the square root of one hundred seventy-six feet.

The height of the antenna and the length of the wire form two sides of a right triangle. The distance from the base of the antenna to the point at which the wire is fixed to the ground forms the other leg.

The Pythagorean Theorem states that a squared plus b squared equals c squared, where a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse.

Let g equal the length in feet of the unknown leg.

First, apply the Pythagorean Theorem, and substitute twenty-four feet for the length of the hypotenuse and twenty feet for one of the legs.

Next, we square twenty-four and twenty.

Then, subtract four hundred from both sides to get one hundred seventy-six equals g squared.

Finally, take the square root of both sides to get the square root of one hundred seventy-six equals g.

So the distance from the base of the antenna to the point at which the wire is fixed to the ground is the square root of one hundred seventy-six feet.

Answer: A. 370 cm2

Step by Step explanation:

10x15=150 The big rectangle

15x6=90x2=180 The small rectangles

20x2=40 the triangles

Add all up 150+180+40=370

Hope this helped

Answer:

19.2 grams

Step-by-step explanation:

We can solve the problem via ratio and proportions or simply through cross-multiplication;

we can formulate the following proportions;

(medication/weight) = constant

24/150 = x/120 = constant

where x is the quantity of medication for the 120 lb woman.

solving for x yields;

x = (24/150)*120

x = 19.2 g

Answer:

The correct answer is 19.2 grams

Step-by-step explanation:

It is given that, a 150lb woman receives 24 grams of medicine

To find the amount of medicine

150lb woman receives 24 grams

From the given information we can write,

1lb woman receives 24/150 grams

120lb woman receives = (24/150) * 120

 = 19.2 grams

Therefore 120lb woman get 19.2 grams

The correct answer is 19.2 grams

Answer:

The number of coins Julia found is 5

Step-by-step explanation:

We know that the total number of gold coins collected divided by the number of people collecting is 6. So we can set up an equation:

[tex]\frac{6+5+6+8+x}{5}=6[/tex]

this simplifies to:

[tex]\frac{25+x}{5}=6[/tex]

Using the multiplication property of equality and multiplying both sides by we get:

25+x=30

Then finally, using the subtraction property of equality we get our answer:

x=5

Answer:

[tex]\boxed{ a_{n} = 6a_{n-1}}[/tex]

Step-by-step explanation:

Step 1. Determine the common ratio

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

Data:

a₁ = 4

n = 6

a₆ =31 104

Calculation:

31 104 = 4r⁵

r⁵ = 7776

[tex]r = \sqrt [5]{7776}[/tex]

r = 6

aₙ = 4(6)ⁿ

Step 2. Determine the recursive formula.

aₙ = 4(6)ⁿ

aₙ₋₁ = 4(6)ⁿ⁻¹

[tex]\dfrac{a_{n}}{{a_{n-1}}} = \dfrac{4(6)^{n} }{4(6)^{n-1}} = 6\\\\a_{n} = 6a_{n-1}[/tex]

The recursive formula for the series is [tex]\boxed{ a_{n} = 6a_{n-1}}[/tex]

First we have to determine 30% of 12.

(30×12)÷100=3.6 so 3.6 is 30% of 12.

12 - 3.6= 8.4

Your answer is 8.4

The height is 4.8. You can check it by substituting it into the formula.

Answer:

Therefore, Height = 4.8 inches.

Step-by-step explanation:

Given : A triangle whose base is 5 inches and area is 12 square inches.

To find : Find the height of a triangle.

Solution : we have given

Triangle base = 5 inches.

Area = 12 square in.

We need to find height of the triangle.

Area = [tex]\frac{1}{2}[/tex] * base * height .

Plugging the values .

12 =  [tex]\frac{1}{2}[/tex] * 5 * height .

On multiplying both sides by 2

24 = 5 * height .

On dividing both sides by 5.

Height = [tex]\frac{24}{5}[/tex].

Height = 4.8 inches.

Therefore, Height = 4.8 inches.

Answer:

bench:  $416; table:  $325.

Step-by-step explanation:

Let t and b represent the costs of the table and bench respectively.  Then:

t + b = $741, and t = b + $91.

Substituting b + $91 for t in the first equation, we get:

b + $91 + b = $741

Then 2b = $741 - $91, or 2b = $650

Then the bench costs $325 and the table ($325 + $91), or $416.

Substitute

4x+2=x-4

Then solve

3x=-6

x=-2

Substitute answer into an equation to find y

y=-2-4

y=-6

So you solution is:

(-2,-6)

Answer:

P = 21%

Step-by-step explanation:

We look for the percentage of employees who are not more than 30 years old.

This is:

[tex]P = \frac{x}{n} *100\%[/tex]

Where x is the number of new employees who are not over 30 years old and n is the total number of new employees.

We do not know the value of x or n. However, the probability of randomly selecting an employee that is not more than 30 years old is equal to [tex]P = \frac{x}{n}[/tex]

Then we can solve this problem by looking for the probability that a new employee is not more than 30 years old.

This is:

[tex]P(X< 30)[/tex]

Then we find the z-score

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

We know that:

μ = 38 years

[tex]\sigma = 10[/tex] years

So

[tex]Z = -0.8[/tex]

Then

[tex]P (X<30) = P (\frac{X- \mu}{\sigma} < \frac{30-38}{10})\\\\P (X<30) = P(Z<-0.8)[/tex]

By symmetry of the distribution

[tex]P(Z<-0.8)=P(Z>0.8)[/tex]

Looking in the normal standard tables

[tex]P(Z>0.8)=0.211[/tex]

Finally P = 21%

Hey there! :)

(13x + 7) = (8x + 27)

We're trying to find x, so we must isolate it.

We can start by subtracting 8x from both sides.

13x - 8x + 7 = 8x - 8x + 27

Then, subtract 7 from both sides.

13x - 8x + 7 - 7 = 8x - 8x + 27 - 7

Simplify!

5x = 20

Divide both sides by 5.

5x ÷ 5 = 20 ÷ 5

Simplify.x = 4

~Hope I helped!~

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

[tex]13x + 7 = 8x + 27[/tex]

Take 8x to the left side and 7 to the right.

[tex]13x - 8x = 27 - 7[/tex]

Combine like terms.

[tex]5x = 20[/tex]

Divide both sides by 5.

[tex]x = 4[/tex]

Answer:

C. are symmetrical

Step-by-step explanation:

Regular polygons mean that the polygon has sides with equal measures. This means that any line drawn from the vertex straight down passing through the center will create two symmetrical figures.  

A regular polygon is a polygon with n number of sides such that the measure of each side of the polygon is equal. The correct option is C.

A regular polygon is a polygon with n number of sides such that the measure of each side of the polygon is equal and the measure of the interior angle between any two consecutive sides is equal.

All regular polygons are symmetrical. This can be observed for any regular polygon with n number of sides.

Hence, All regular polygons are symmetrical.

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Answer:

D. [tex]F(x)=(x+4)^2-5[/tex]

Step-by-step explanation:

The parent function is [tex]G(x)=x^2[/tex].

This function has its vertex at the origin (0,0).

When this function is shifted down 5 units and to the left 4 units, then its new vertex will be at (-4,-5)

The vertex form of the equation is given by;

[tex]F(x)=a(x-h)^2+k[/tex] where (h,k)=(-4,-5) is the vertex and a=1 because of the parent function.

Hence its equation is

[tex]F(x)=(x+4)^2-5[/tex]

Answer:

Option C

Step-by-step explanation:

A function g(x) = x² has been given as the parent function.

This function then shifted 5 units down.

Translated  function formed will be f(x) = x² - 5

Further this graph has been shifted 4 units to the left then the function will become

f(x) = [x - (-4)]² - 5

f(x) = (x + 4)² - 5

Therefore, option C is the answer.

There are 19 students in the class

The area of mathematics known as algebra deals with symbols and the formulas used to manipulate them. These symbols, which are currently expressed as Latin and Greek letters, are used in elementary algebra to represent variables or quantities without set values.

Given

If Stanley is the 10th tallest, then there are 9 shorter students

and if he is 10th shortest in the class, there are 9 taller students

9 + 1 + 9=19

so, there are 19 students in the class

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Answer:

Step-by-step explanation:

[tex]f(x)=2x;\ g(x)=?\\\\(g\circ f)(x)=6x+2=3(2x)+2=3\bigg(f(x)\bigg)+2\to g(x)=3x+2\\\\Check:\\\\f(x)=2x,\ g(x)=3x+2\\\\(g\circ f)(x)\to\text{instead of x in g (x), put}\ 2x:\\\\(g\circ f)(x)=3(2x)+2=6x+2\qquad\bold{CORRECT :)}[/tex]

Answer:

D)4x + 6/(x + 1)(x - 1)

Step-by-step explanation:

A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle

[tex]p=2(l+w)[/tex]

where

[tex]p[/tex] is the perimeter

[tex]l[/tex] is the length

[tex]w[/tex] is the width

We know from our problem that the field has length 2/x + 1 and width 5/x^2 -1, so [tex]l=\frac{2}{x+1}[/tex] and [tex]w=\frac{5}{x^2-1}[/tex].

Replacing values:

[tex]p=2(l+w)[/tex]

[tex]p=2(\frac{2}{x+1} +\frac{5}{x^2-1})[/tex]

Notice that the denominator of the second fraction is a difference of squares, so we can factor it using the formula [tex]a^2-b^2=(a+b)(a-b)[/tex] where [tex]a[/tex] is the first term and [tex]b[/tex] is the second term. We can infer that [tex]a=x^2[/tex] and [tex]b=1^2[/tex]. So, [tex]x^2-1=(x+1)(x-1)[/tex]. Replacing that:

[tex]p=2(\frac{2}{x+1} +\frac{5}{x^2-1})[/tex]

[tex]p=2(\frac{2}{x+1} +\frac{5}{(x+1)(x-1})[/tex]

We can see that the common denominator of our fractions is [tex](x+1)(x-1)[/tex]. Now we can simplify our fraction using the common denominator:

[tex]p=2(\frac{2(x-1)+5}{(x+1)(x-1)} )[/tex]

[tex]p=2(\frac{2x-2+5}{(x+1)(x-1)} )[/tex]

[tex]p=2(\frac{2x+3}{(x+1)(x-1)} )[/tex]

[tex]p=\frac{4x+6}{(x+1)(x-1)} [/tex]

We can conclude that the perimeter of the field is D)4x + 6/(x + 1)(x - 1).

Answer:

C) 17%

Step-by-step explanation:

Table:          has tablet | no tablet | total

has phone |      25              65         90

no phone   |       20            10           30

total            |       45             75         120

No tablet total: 120 - 45 = 75

No phone total: 120 - 90 = 30

No tablet phone: 75 - 10 = 65

No phone tablet: 30 - 10 = 20

Both: 45 - 20 = 90 - 65 = 25

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

So out of 120 students, 20 of them will have a tablet but no phone. 20/120 = 1/6 = 0.16666... ≈ 17%

Answer:

40

Step-by-step explanation:

Find the smallest multiple number shared by the two numbers.

10: 10, 20, 30, 40

8: 8, 16, 24, 32, 40

40 is the smallest multiple shared by the two numbers, and is your answer.

~

Answer:

40

Step-by-step explanation:

have a nice day

Answer:

Yes, it is a right triangle.

Step-by-step explanation:

Look at the points:

(1, 1), (1,4)

(1,4), (4,4)

(4,4), (1,1)

Find the slope between each point: In respective order, the first one is undefined, the second one has a slope of zero, and the third has a slope of 1. Because undefined slope is completely vertical (parallel to the y axis, and the slope of 0 is completely horizontal (parallel to the x axis), they are perpendicular (as it is transitive since the x axis is perpendicular to the y axis). Therefore, we know that anything that is perpendicular created a right angles', and thus, the any triangle with a right angle is a right triangle.

Answer:

Step-by-step expla5+7x12+75-94x347+7 2/9​nation:

Answer:

2.87

Step-by-step explanation:

11.17-8.30=2.87

Answer:

2.87

Step-by-step explanation:

subtract 8.30 from 11.17 hope this helps

if does mark me top brain thing or what ever

Answer:

D

Step-by-step explanation:

Arrange the data 2, 8, 18, 7, 42, 12, 16, 14, 11, 4, 1, 10, 19 in ascending order:

1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42

The number 42 is an outlier of the data.

1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42

Write a five-number summary:

Min:  1

Q1: 5.5 (the average between the middle terms of first half of the data)

Med: 11 (the  middle term of the data)

Q3: 17 (the average between the middle terms of second half of the data)

Max: 19

Outlier: 42

Only option D shows

Answer:

The last box plot

Step-by-step explanation:

A box plot is simply a graphical representation of the 5 number summary of a data set;

The minimum, first quartile, median, third quartile, and the maximum

in that order.

We can therefore arrange our given data set from the least to the greatest value;

1, 2, 4, 7, 8, 10, 11, 12, 14, 16, 18, 19, 42

The value 42 is an outlier since it is more extreme than the rest of the values.

From our arrangement of the data values above, we can note the following;

The minimum value is 1

The maximum value is 19

42 is an outlier, will be represented by a dark circle

The box-plot that matches the above is the last one and is thus the correct modified box-plot for the data

Answer:

Part B: [tex]\displaystyle [1, 2][/tex]

Part A: Set both equation equal to each other by Substitution, since our y-values are already given to us.

Step-by-step explanation:

6x - 4 = 5x - 3

- 6x + 3 - 6x + 3

____________

[tex]\displaystyle -1 = -x; 1 = x[/tex]

Plug this coordinate back into the above equations to get the y-coordinate of 2.

y = mx + b [where b is the y-intercept and the rate of change (slope) is represented by m]

[tex]\displaystyle y = 5x - 3; [0, -3]; 5 = m \\ y = 6x - 4; [0, -4]; 6 = m[/tex]

I am joyous to assist you at any time.

Answer:

I believe n equals 13.

Step-by-step explanation:

Answer:

The answer to your question is n=13

Step-by-step explanation:

n-26= -13

Add 26 on both sides

n-26+26=-13+26

n=13

Answer:

No solution

Step-by-step explanation:

x² + 3 x + 40 = 0

Answer:

The answers for x^2+3x−40=0 are -8 and 5.

Step-by-step explanation:

For this problem, we are able to factor. Since 8 and 5 are both factors of 40, and since 8-5=3, we will use 8 and 5 in our binomial equation:

(x+8)(x−5)=40.

Just to prove that this is correct, let's multiply the two together: x^2−5x+8x−40=x^2+3x−40.

From here, we can use the zero product property to get our answers: x+8=0,x−5=0.

Subtract 8 from the first equation and subtract 5 from the second equation to get our answers, -8 and 5.

Answer:

no horizontal asymptote

Step-by-step explanation:

When the degree of the numerator > degree of the denominator there is no horizontal asymptote but there is a slant asymptote.

Dividing the numerator by the denominator gives

[tex]\frac{x^2-x-6}{x+4}[/tex] = x - 5 + [tex]\frac{14}{x+4}[/tex]

There is a slant asymptote with equation y = x - 5

Answer: the circumference

Step-by-step explanation:

Answer:

circumfrence

Step-by-step explanation: