Complete the steps to factor 12x3-9x2+8x-6 by grouping

C. 226.87 in 2

Using the area of a circle formula

A=πr2

Answer:

226.87 in^2

Step-by-step explanation:

Formula

Area = pi*r^2

r = d/2

Givens

pi = 3.15

d = 17 inches.

Solution

r = d/2

r = 17/2

r = 8.5

Area = pi*r^2

Area = 3.14 * 8.5^2

227.87 in^2

Answer:

The correct answer is option A. 18x + 15

Step-by-step explanation:

It is given an expression in variable x,

5(4x + 3) - 2x

To simplify the given expression

5(4x + 3) - 2x = (5 * 4x) + (5 * 3) - 2x   (open the bracket)

  = 20x + 15 - 2x

  = 20x - 2x + 15

  = 18x + 15

Therefore the correct answer is 18x + 15

The correct option is option A.  18x + 15

Answer:the probability is 0.5

Step-by-step explanation:

It would be 37’000 because 20% of 185000 is 37’000 which you get by 20 x 185000 and dividing the answer to 100.

Answer:

slope = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Select any 2 ordered pairs from the given table, the use the slope formula to calculate the slope m

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (4, 10) ← 2 ordered pairs from table

m = [tex]\frac{10-5}{4-2}[/tex] = [tex]\frac{5}{2}[/tex]

Answer:

B 2 2/3

Step-by-step explanation:

Triangles ADB and CDB are similar. Therefore similar parts can form a proportion.

AD/DB = DB/DC

AD = ?

DB = 4

DC = 6

x/4 = 4/6    Cross multiply

6x = 16

6x/6 = 16/6

x = 2 4/6 or x = 2 2/3

It's B

ANSWER

[tex]AD =2 \frac{2}{3}[/tex]

EXPLANATION

According the Altitude Theorem, the height of the triangle is equal to the geometric mean of the two segment it creates on the hypotenuse.

This implies that:

[tex] {4}^{2} =6 AD[/tex]

[tex]16 = 6 AD[/tex]

Divide both sides by 6.

[tex]AD = \frac{16}{6} [/tex]

Simplify

[tex]AD = \frac{8}{3} [/tex]

Change to mixed numbers

[tex]AD =2 \frac{2}{3} [/tex]

Answer:

see explanation

Step-by-step explanation:

Since the figures are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{8}{x}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )

18x = 48 ( divide both sides by 18 )

x = [tex]\frac{48}{18}[/tex] = [tex]\frac{8}{3}[/tex]

AND

[tex]\frac{5}{y}[/tex] = [tex]\frac{18}{6}[/tex] ( cross- multiply )

18y = 30 ( divide both sides by 18 )

y = [tex]\frac{30}{18}[/tex] = [tex]\frac{5}{3}[/tex]

Answer:

[tex]f^{-1}(x) = log_{12}(y)[/tex]

Step-by-step explanation:

We have the following function

y = 12^x, and we need to find the inverse function.

To find the inverse function we should solve the equation for "x". To do so, first, we need to:

1. Take the logarithm in both sides of the equation:

lg_12 (y) = log _12 (12^x)

(Please read lg_12 as: "Logarithm with base 12")

From property of logarithm, we know that lg (a^b) = b*log(a)

Then:

lg_12 (y) = x*log _12 (12)

We also know that log _12 (12) = 1

Then:

x = log_12(y).

Then, the inverse of: y= 12^x is:

[tex]f^{-1}(x) = log_{12}(y)[/tex]

Answer: There are 150 bars in a case, and 2 cases per day are used (or 300 bars), Thus, in 7 days you would use 7 x 2 or 14 cases, or 2100 bars.

Step-by-step explanation:

Answer:

14 cases of soap bars.

Step-by-step explanation:

In one case of soap bars there is = 150 bars

You use amount of soap bars per day = 300

You need to order to have enough for 7 days  = 300 × 7 = 2100 bars

150 bars ⇒ 1 case

2100 bars ⇒ [tex]\frac{2100}{150}[/tex] = 14 case

You need to order 14 case of soap bars for 7 days.

Answer:

The answer is D. 51,200

Step-by-step explanation:

64000/x=100/80

(64000/x)*x=(100/80)*x       - we multiply both sides of the equation by x

64000=1.25*x       - we divide both sides of the equation by (1.25) to get x

64000/1.25=x

51200=x

x=51200

The number of people who were supporters of the home team is 51,200, the correct answer is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The home team= 80%

Visiting team= 20%

Now,

If 80% of the people attending the football game were supporters of the home team, then we can find the number of people who were supporters of the home team by multiplying the total number of people attending the game by 80%:

= 0.8 * 64,000

= 51,200

Therefore, by algebra the answer will be 51,200.

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Your probability of getting a specific number on a die is 1/6. Since you have 2 dice the probability for each is 1/6. Multiply those together to find the probability that the numbers would be the same. So, 1/36 is the correct answer.

Answer:

Option d. [tex]f(x)=\$1,000(1+0.0355)^{x}[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=x\ years\\ P=\$1,000\\ r=0.0355\\n=1[/tex]  

substitute in the formula above  

[tex]A=\$1,000(1+\frac{0.0355}{1})^{1*x}[/tex]  

[tex]A=\$1,000(1+0.0355)^{x}[/tex]  

Convert to function notation

[tex]f(x)=\$1,000(1+0.0355)^{x}[/tex]  

Answer:

see explanation

Step-by-step explanation:

Given

6x² + x - 1 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 6 × - 1 = - 6 and sum = + 1

The factors are + 3 and - 2

Use these factors to split the x- term

6x² + 3x - 2x - 1 = 0 ( factor the first/second and third/fourth terms )

3x(2x + 1) - 1(2x + 1) = 0 ← factor out (2x + 1) from each term

(2x + 1)(3x - 1) = 0

Equate each factor to zero and solve for x

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

3x - 1 = 0 ⇒ 3x = 1 ⇒ x = [tex]\frac{1}{3}[/tex]

6x + 9

Combine the like terms. 2x + 3x + x = 6x, and 9 just stays the same. This is as simple as the equation can get without knowing what 2x + 9 + 3x + x equals.

If 2x+9+3x+x= then 6x+9 will be x= 15

Answer:

The answer is B

Inequalities help us to compare two unequal expressions. The correct option is A, (6+x)/15>(9/10).

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given that Melinda will take 15 quizzes this semester. She would like to score a B or better on at least 90% of them.  Therefore, the ratio of the number of questions done to the total number of questions should be greater than 90%.

Also, given that Melinda has already gotten a b or better on 6 quizzes. Therefore, we can write the inequality as,

(6+x)/15 > 90%

(6+x)/15 > 90/100

(6+x)/15 > 9/10

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Answer:

The weight of the three blades together is [tex]134\ g[/tex]

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=4\ in[/tex]

assume

[tex]\pi=3.14[/tex]

substitute

[tex]A=(3.14)(4)^{2}[/tex]

[tex]A=50.24\ in^{2}[/tex]

step 2

Find the area of the 3 blades

we know that

The area of the 3 blades represent a central angle of 60 degrees, so

its a 1/6 of the area of complete circle

[tex]A=50.24/6=8.37\ in^{2}[/tex]

step 3

Find the weight of the three blades together to the nearest gram

[tex](8.37\ in^{2})*(16\ g/in^{2})=134\ g[/tex]

ANSWER

domain:

[tex]x \geqslant - 3[/tex]

Range

[tex]y \leqslant - 2[/tex]

EXPLANATION

The given function is

[tex]f( x) = - \sqrt{x + 3} - 2[/tex]

This base of this function is

[tex]y = \sqrt{x} [/tex]

This function has been shifted to the left 3 units and down 2 units.

This function is reflected in the x-axis.

Therefore graph starts at (-3,-2) and move down forever.

The domain is obtained using the expression under the radical sign.

It must be greater than or equal to zero.

[tex]x + 3 \geqslant 0[/tex]

[tex]x \geqslant - 3[/tex]

The range is

[tex]y \leqslant - 2[/tex]

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

P(tail ) = [tex]\frac{1}{2}[/tex]

numbers less than 3 are 1 and 2, hence

P(number < 3 ) =[tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

P(tail ) and P(number < 3 )

= [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{1}{6}[/tex]

Answer:

The graph would look like this

Step-by-step explanation:

The equation is less than so it is below the dotted line. The line is dotted becuase the answer is equal to anything on the line.

The graph will be a dashed line and the region below the line is hatched. Then the correct option is A.

The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.

The linear function is given below.

4y + 8 < -3x

The graph will be a dashed line and the region below the line is hatched.

Then the correct option is A.

The missing options are attached below.

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Answer:

The answer in the attached figure

Step-by-step explanation:

step 1

Find the area of one blue square

[tex]A=6^{2}=36\ ft^{2}[/tex]  

step 2

Find the area of one orange triangle

[tex]A=(1/2)8^{2}=32\ ft^{2}[/tex]

Part 1) [tex]256\ ft^{2}[/tex]

Divide the total area by the area of one orange triangle

[tex]256/32=8\ triangles[/tex]

Part 2) [tex]180\ ft^{2}[/tex]

Divide the total area by the area of one blue square

[tex]180/36=5\squares[/tex]

Part 3) [tex]168\ ft^{2}[/tex]

Let

x----> the number of blue squares

y ------> the number of orange triangles

we know that

[tex]36x+32y=168[/tex]

Construct a table and prove different values for x and for y

we have

x=2, y=3

Two blue squares and three orange triangles

Area of blue squares

[tex]A1=2*(36)=72\ ft^{2}[/tex]

Area of an orange triangles

[tex]A2=3*(32)=96\ ft^{2}[/tex]

so

the area total is

[tex]72+96=168\ ft^{2}[/tex]

Answer:

D and E

Step-by-step explanation:

2 and 3 are verticle angles

1 and 4 add up to more than 180

angles 1 2 and 3 add up to more than 180

Based on the figure, the statements are true include;

D. m∠3 ≅ m∠4 = m∠1 ≅ m∠2

E. m∠1 ≅ m∠4 are vertical angles.

In Mathematics and Euclidean Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two lines intersect each other are always congruent, which means being equal to each other.

By applying the vertical angles theorem to the lines, we have the following congruent angles:

m∠1 ≅ m∠4

m∠2 ≅ m∠3

Based on linear pair theorem, we have the following supplementary angles;

m∠3 + m∠4 = 180°

m∠1 + m∠2 = 180°

m∠3 ≅ m∠4 = m∠1 ≅ m∠2 (transitive property).

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Answer:62

Step-by-step explanation:

Answer:

Well in opinion, i think "rolling a standard number cube and getting an even number"

Answer:

Both events have the same likeliness of happening.

Step-by-step explanation:

A number cube has 6 numbers and 3 of them are even so the probability of rolling an even number is 3/6, which is 1/2. A coin has two sides, so the probability of flipping a coin heads up is 1/2. Rolling an even number on a number cube and flipping a coin heads up both have a 1/2 probability.

Answer:

35 cm

Step-by-step explanation:

To find the area of the bottom portion, you would use the formula for finding out a triangle (B*H*1/2) which is:

(4+4)*5.75*1/2=23

Then, for the top portion, one would find the area of the triangles on the sides (with two marks going through). Since along the middle is 8cm, and along the top is 4, we can see that there is 2cm on either side, so that is the length of the base of the triangle. To solve for the top triangles, you would do almost the same thing as the last one:

2*2*1/2=2

But since there's two identical triangles on either side, we can multiply that by two, which would bring it to 4.

That just leaves the rectangle that is left between the two triangles. To solve this, it's just B*H and luckily both of those are labeled for you already:

4*2=8  

Now, to find the total area, all you have to do is add up the areas of the different sections:

23+4+8=35 cm

Hope this helps!

Answer:

-3.2171798824

Step-by-step explanation:

Answer:

Step-by-step explanation:

n - 4, n - 2, n, n + 2, n + 4 - five odd consecutive integers

The equation:

(n - 4) + (n - 2) + n + (n + 2) + (n + 4) = 295         combine like terms

(n + n + n + n + n) + (-4 - 2 + 2 + 4) = 295

5n = 295        divide both sides by 5

n = 59

Hi! The answer is c downloads per a day

Answer:

(x-2)/(2x+8)

Step-by-step explanation:

The first step to solve this expression is to use a² - 2a b + b² = (a - b)² to factor the expression

Factor out 2 from the expression

Write 2x as a difference

Factor out x from the expression

Factor out -2 from the expression

Factor out x + 4 from the expression

Reduce the fraction with x - 2

Finally,, distribute 2 through the parenthesis to find your answer

This means that the correct answer to your question is (x-2)/(2x+8)

Answer:

 x + 6

-----------      for all x EXCEPT x = -6

  x + 2

Step-by-step explanation:

Note that the numerator, x^2 + 12 x + 36, factors into (x + 6)^2, and that

the denominator factors into (x + 6)(x - 2).

Thus, the given expression reduces to:

  (x + 6)(x + 6)

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

  (x + 6)(x + 2)

and can be reduced to:

 x + 6

-----------         This is true for all x EXCEPT x = -6.  At x = -6, the expression

  x + 2            is not defined.

Answer:

She skates at 0.5 miles per hour :) hope it helped

Answer:

Power: (1/5)^3, 2^6

Expanded: 5x5, 6x6x6, 3x3x3/4, 2x2x2x2x2x2

How to say it: 5 raised to the 2nd power, 6 raised to the 3rd power, 3 raised to the 3rd power over 4

Value: 25, 216, 1/125, 9/4, 64

Step-by-step explanation: