Use the grouping method to factor x^3+x^2+2x+2

Answer:

64

Step-by-step explanation:

115 - 51 = 64

Answer:

66

Step-by-step explanation:

put them in order from least to greatest.

51, 51, 56, 58, 68, 72, 90, 101, 101, 111, 114, 115, 117

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is...

117-51=

66

Answer:

The answer is 9/11.

Step-by-step explanation:

To find the answer you'd first add up how many patients you have:

80+10+20 = 110.

Now find out that how many patients are taking a real drug, which is represented by 80+10 = 90.

So, the probability of a patient NOT getting a placebo is 90/110

Simplified would be 9/11

Thus the answer is 9/11....

8 units

First, find the area of the 4 by 16 rectangle. 4 times 16 is 64, so that is the area.

The area of a square is calculated with A = S^2, where A is the area and S is the side length.

So, set 64 to be the area and solve for S. 64 = S^2

The opposite of squaring something is finding the square root. So, find the square root of both sides.

square root of 64 = S

Now, what is the square root of 64? Well, what number when multiplied by itself equals 64? There are actually two possibilities here: -8 and 8. However, -8 cannot be the answer since distance cannot be negative, so 8 is the length of the side.

Answer:

9

Step-by-step explanation:

The coefficient is the number directly next to the variable, in this case, the variable being y, and the number being 9.

In the question:

9y + 5,

9 is the coefficient

y is the variable

5 is a constant (does not change).

Note that the coefficient and constant cannot change, but the value of the variable (y) can vary (hence the name).

~

The coefficient in the expression is 9.

The coefficient of a term in an algebraic expression is the number that is multiplied by the variable in the term.

To find the coefficient of a term, you can follow these steps:

1. Identify the variable in the term.

2. Look for the number that is multiplied by the variable.

3. That number is the coefficient of the term.

In the expression 5+ 9y, the variable is y. The number that is multiplied by y is 9.

Therefore, the coefficient in the expression is 9.

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- This is what it is in vertex form, (-1/4,-1/2).

Answer:

[tex]r=\frac{9\cos \theta}{\sin^2 \theta}[/tex]

Step-by-step explanation:

The given equation in rectangular coordinates is;

[tex]y^2=9x[/tex]

We use the relation;

[tex]x=r\cos \theta[/tex]

and

[tex]y=r \sin \theta[/tex]

This implies that;

[tex](r \sin \theta)^2=9(r \cos \theta)[/tex]

[tex]r^2 \sin^2 \theta=9r \cos \theta[/tex]

Divide through by r to get;

[tex]r \sin^2 \theta=9\cos \theta[/tex]

Divide both sides by [tex]\sin^2 \theta[/tex]

[tex]r=\frac{9\cos \theta}{\sin^2 \theta}[/tex]

The figure is separated into triangles.

The triangle has a base of 8 inches and a hypotenuse of 10 inches.

Using the Pythagorean theorem solve for the height of the triangle:

10^2 = 8^2 + x^2

100 = 64 + x^2

x^2 = 100-64

x^2 = 36

x = √36

x = 6

The height of the triangle is the width of the rectangle and the length of  the rectangle is 2 triangle bases ( 8 * 2 = 16)

Area of a rectangle is L x W = 6 x 16 = 96 square inches.

Answer:

See below

Step-by-step explanation:

(1) Create a table containing a few values of x and y

I chose x = -5, 0, and 5.

[tex]\begin{array}{rcc}& \mathbf{y = x + 6} & \mathbf{y = 3x - 2}\\\mathbf{x} & \mathbf{y} & \mathbf{y}\\-5 & 1 & -17\\0 & 6 & -2\\5 & 11 & 13\\\end{array}[/tex]

(2) Plot your points

Draw dots at the coordinates of each point ( Fig. 1).

(3) Draw the graph

Draw smooth lines through the points for each function.

Extend the lines in both directions to the edges of the plot area.

Your graphs should look like Fig. 2.

(4) Plot the solution

Note where the lines cross.

They appear to intersect at (4, 10).

Plot the point, and the finished graph should look like Fig. 3.

Answer:

(2, 4)

Step-by-step explanation:

Both equations have been solved for y, so to find x we need only set the equations = to each other:    y=-x+6   =  y=3x-2

Combining like terms, we get 4x = 8, and x = 2.  Substituting 2 for x in y = 3x -2, we get y = 3(2) - 2 = 4.

The solution is (2, 4).  If you were to graph these two lines, you'd find that they intersect at (2, 4).

ANSWER

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

EXPLANATION

The given polynomial is

[tex]2 {x}^{3} - {x}^{2} - 13x - 6[/tex]

If 3 is a root of this polynomial, then

[tex]x - 3[/tex]

is a factor.

We use long division to obtain the quotient as shown in the attachment.

We can the factor the polynomial as:

[tex]p(x) =( x - 3)(2{x}^{2} + 5x + 2)[/tex]

The complete factored form is:

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

Answer:

Option A.

Step-by-step explanation:

The given sequence is 1.5, 3, 6............

We will check first whether the the given sequence is arithmetic or geometric.

For arithmetic sequence

[tex]a_{2}-a_{1}=3-1.5=1.5[/tex]

[tex]a_{3}-a_{2}=6-3=3[/tex]

1.5 ≠ 3, therefore, the given sequence is not an arithmetic sequence.

For geometric sequence

[tex]\frac{a_{2} }{a_{1} }=\frac{3}{1.5}=2[/tex]

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

2 = 2, therefore, sequence is geometric.

For geometric sequence explicit formula is defined as

[tex]a_{n}=a_{1}(r)^{n-1}[/tex]

[tex]a_{7}=1.5(r)^{7-1}[/tex]

              = [tex]1.5(2)^{6}=96[/tex]

Therefore, Option A. is the answer.

Answer:

A, 96 have an amazing day!!!

Step-by-step explanation:

Answer:

[tex]cos(A) =\frac{3}{5}=0.6[/tex]

Step-by-step explanation:

By definition the cosine of an angle is the quotient between the side adjacent to the angle and the hypotenuse.

In other words:

[tex]cos (A) = \frac{adjacent}{hypotenuse}[/tex]

In this triangle the length of the side adjacent to the angle A is 30, and the length of the hypotenuse is 50

So:

[tex]cos(A) = \frac{30}{50}[/tex]

Simplifying we have that:

[tex]cos(A) = \frac{3}{5}=0.6[/tex]

Answer:

Final answer is [tex]\cos\left(A\right)=\frac{3}{5}[/tex].

Step-by-step explanation:

Using given information in the picture, we need ot find the missing value of Cos(A).

Apply formula of cosine function which is :

[tex]\cos\left(A\right)=\frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos\left(A\right)=\frac{30}{50}[/tex]

[tex]\cos\left(A\right)=\frac{3}{5}[/tex]

Hence final answer is [tex]\cos\left(A\right)=\frac{3}{5}[/tex].

Answer:

A)

58/3 = 19.33 hours

B)

84.00 hours

C)

2074.29 miles

Step-by-step explanation:

Under the assumption the earth is a perfect circle, then in a complete rotation ( 24 hours) the earth will rotate through  360 degrees or 2π radians.

A)

In one day or 24 hours the earth rotates through 360 degrees. We are required to determine the duration it takes to rotate through 290 degrees. Let x be the duration it takes the earth to rotate through 290 degrees, then the following proportions hold;

(24/360) = (x/290)

solving for x;

x = (24/360) * 290 = 58/3 = 19.33 hours

B)

In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it will takes the Earth to rotate through 7π radians. Let x be the duration it takes the earth to rotate through 7π radians, then the following proportions hold;

(24/2π radians) = (x/7π radians)

Solving for x;

x = (24/2π radians)*7π radians = 84 hours

C)

If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;

circumference = 2*π*R = π*D

                         = 7920*3.142

                         = 24891.43 miles

Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;

(24891.43miles)/(24 hours) = 1037.14 miles/hr

The distance covered by the point in 2 hours will thus be;

1037.14 * 2 = 2074.29 miles

Your answer would be 64. To find this, you would follow PEMDAS, and multiply 6*5. You would then get 30. From there, you would add 30 to 34, getting 65. Hope this helped! Please mark brainliest! Thank you v much! :)

Answer:

64

Step-by-step explanation:

34+6.5=30+34=64:)

ANSWER

D. 13

EXPLANATION

We have

[tex]f(x) = \frac{2x + 1}{x - 4} [/tex]

To find

[tex] {f}^{ - 1} (3)[/tex]

means we want to find an x-value whose image is 3.

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

We cross multiply,

[tex]2x + 1 = 3(x - 4)[/tex]

Expand:

[tex]2x + 1 = 3x - 12[/tex]

Combine like terms,

[tex]3x - 2x = 12 + 1[/tex]

[tex]x = 13[/tex]

[tex] \therefore{f}^{ - 1} (3)= 13[/tex]

Answer:

Option D is correct.

Step-by-step explanation:

[tex]f(x)= \frac{2x+1}{x-4} \,\,find \,\,value\,\,of\,\, f^{-1}(3)[/tex]

We know that f(a) =b ⇔ f^-1 (b) =a

Using this,

We are given [tex]f^{-1}(3)=x => f(x)=3[/tex]

and [tex]f(x)= \frac{2x+2}{x-4}[/tex]

putting value of f(x)

[tex]3= \frac{2x+1}{x-4}\\3(x-4) = 2x+1\\3x-12 = 2x+1\\Adding\,\,like\,\,terms\,\,\\3x-2x = 12+1\\x=13\\So, f^{-1}(3) = 13[/tex]

Option D is correct.

It is -1, you first make the -1 positive but then the negative sign outside makes that 1 turn -1

The value of the absolute numerical expression will be negative 1.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The expression is given below.

⇒ - |- 1|

If the mode is removed, then the value inside the mode comes out to be positive. Then the value of the expression will be calculated as,

⇒ - |- 1|

⇒ - (1)

⇒ - 1

The value of the absolute numerical expression will be negative 1.

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Answer: The answer is A

Step-by-step explanation: When you add 1/2+1/5+1/3 it equals 31/30 which when converted is equal to 1.033 which is less than 1 1/2.

Answer:

8:20

Step-by-step explanation:

It says brown tiles to total tiles.

12+8=20

Final answer:

The ratio of 12 brown tiles to 20 total tiles is 3:5, indicating that for every 3 brown tiles, there are 5 total tiles in that section.

Explanation:

To compare the number of brown tiles to the total number of tiles in one section, use the ratio:

12 brown tiles : 20 total tiles = 12 : 20 = 3 : 5

This ratio simplifies to 3:5, showing that for every 3 brown tiles, there are 5 total tiles in that section. The ratio of 12 brown tiles to 20 total tiles is 3:5, indicating that for every 3 brown tiles, there are 5 total tiles in that section.

Answer:

A- y=0.5x+3

Step-by-step explanation:

Answer:

135 square ft.

Step-by-step explanation:

To solve this equation, you need to find the area of this rectangle. Area is always base x height, or in this case, length x width. Now you multply your length, 15', by your width, 9', to get your answer, 135 square feet. When you multiply two measurments of the same unit together, you get square (units), which simply means that you multiplied two of the same unit of measurment together.

Answer:

Step-by-step explanation:

[tex]\dfrac{2}{3}(3x+9y)+\dfrac{1}{2}(4x-2y)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=\left(\dfrac{2}{3\!\!\!\!\diagup_1}\right)(3\!\!\!\!\diagup^1x})+\left(\dfrac{2}{3\!\!\!\!\diagup_1}\right)(9\!\!\!\!\diagup^3y})+\left(\dfrac{1}{2\!\!\!\!\diagup_1}\right)(4\!\!\!\!\diagup^2x})+\left(\dfrac{1}{2\!\!\!\!\diagup_1}\right)(-2\!\!\!\!\diagup^1y})\\\\=2x+(2)(3y)+2x-y=2x+6y+2x-y\qquad\text{combine like terms}\\\\=(2x+2x)+(6y-y)=4x+5y[/tex]

Answer:

I think it may be C) 5.5

Step-by-step explanation:

well the question doesn't really give us anything to work with to find the exact answer but if we look at the triangle logically then we will figure out that JZ is smaller than JS. and if JS is 8.7 then we can't have JZ being longer than JS so option D is out. and the other two options are way too short to be the length of JZ. Therefore we have option C as our winner

Hope this helps

Answer:

x=2π/3+π n

Step-by-step explanation:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

The solution to tan X + √(3) = 0 is option D)300°.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Given function;

tan X + √(3) = 0

Solving;

tan X = -√(3)

tan X = -(tan 60) = 300 degrees (beacuse of negative)

Here, the tangent function is posittive in the first and the third quadrants.

The solution to tan X + √(3) = 0 is option D)300°.

The remaining question is

'Which of the following is a solution to tanx+sqrt3=0?

A)60°

B)150°

C)240°

D)300°'

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The most beneficial banking service for a customer with a new debit card would be no ATM fees, as this would save money on transactions, which is especially important given that banks tend to charge for non-interest income such as ATM and overdraft fees.

For a customer who just obtained a debit card, the most beneficial banking service would be no ATM fees. Debit cards give users the ability to access their funds through an ATM. Considering banks are profit-oriented and look to maximize non-interest income through various fees as described, ATM fees can be a frequent and unnecessary expense. ATM fees average $2.97 per transaction and can quickly accumulate, especially if withdrawals are made at out-of-network ATMs, which add even more to the cost. Therefore, selecting a banking service with no ATM fees would save the cardholder potential costs associated with accessing their money.

No overdraft protection would mean the cardholder could be charged substantial overdraft fees if they were to spend more than the balance in their checking account. Given that these fees can be very high, it's better to either have overdraft protection or manage the account carefully to avoid overdrafting. On the other hand, a $25 yearly fee is a fixed cost and might be worth it if the benefits provided surpass the fee, but it is generally an additional expense that can be avoided with careful account selection. Lastly, 0% financing is typically associated with credit cards rather than debit cards and the quoted 'introductory' rates can be misleading, often coming with hidden fees and high interest rates after the introductory period ends.

Answer:

D. 22

Step-by-step explanation:

Let O be the origin, then we can use the Pythagoras Theorem to obtain:

[tex]|AB|^2=|AO|^2+|OB|^2[/tex]

This implies that;

[tex]|AB|^2=14^2+16^2[/tex]

[tex]|AB|^2=196+256[/tex]

[tex]|AB|^2=452[/tex]

Take positive square root to get:

[tex]|AB|=\sqrt{452}[/tex]

[tex]|AB|=\sqrt{113}[/tex]

[tex]|AB|=21.26029163[/tex]

We round to the nearest whole number to get

[tex]|AB|=21[/tex] units

The closes is 22

The area of the pentagon is 130.5 sq.inches

Apothem is the line that extends from the pentagon's center to a side and makes a 90° right angle with the side.

The basic formula for calculating the area of a regular pentagon is Area of pentagon = 1/2 p a, where p denotes the pentagon's perimeter and a denotes its apothem.

perimeter = 5 * 8.7 = 43.5

a = 6

area = 1/2 * 43.5 * 6 = 130.5

Therefore, The area of the pentagon is 130.5 sq.inches

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Answer:

Income tax

Step-by-step explanation:

The more money someone earns, the higher their income, and the more government expects them to pay in taxes.

So what I would do is plug in the point into each system:

#1:

y > 0        (-3,0) since y = 0, plug in 0 for y

0 > 0       This can't be true because they are = to each other, so you would need to have a sign of either ≤ or ≥ (less/greater than or equal to) for the point to be a solution to the system

#2 is the same "0 < 0" can't be true

#3

0 ≤ 0 this is true

y > x + 9     Plug in the point (-3,0)

0 > -3 + 9   Simplify

0 > 6 This is false because 0 is not greater than 6

#4

0 ≥ 0    This is true

0 < -3 + 9

0 < 6     This is true because 0 is less than 6

---->       4th option is your answer

Answer:

3120

Step-by-step explanation:

step 1:multiply 8 with 0 and 7 with 0

step 2:add a 0 in the end and multiply 8 with 4 . you get 32. take 2 and carry over 3. multiply 7 with 4. you get 28 . add 3 you get 31. now add. you get 3120

Answer:

3120

Explanation:

Step 1: 0 multiply by 8 give 0

Step 2: 0 multiply by 7 give 0

Step 3: put the number 0 in the right side

Step 4: 4 multiply by 8 give 32

Step 5: add the number 3 to the answer we are going to get for 4 multiply by 7 which is 28+3=31

You can FOIL (First, Outside, Inside, Last)

(3z+1)(4z+2)

First

(3z+1)(4z+2)

3z * 4z

[tex]12z^{2}[/tex]

Outside

(3z+1)(4z+2)

3z * 2

6z

Inside

(3z+1)(4z+2)

4z * 1

4z

Last

(3z+1)(4z+2)

2*1

2

Combine all the products of FOIL together

[tex]12z^{2}[/tex] + 6z + 4z + 2

Combine like terms

[tex]12z^{2}[/tex] + 10z + 2

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

3.28084

hope this helps

Answer:

3.28

Step-by-step explanation:

1 cm = 0.0109361 yards

Multiply by 300

300 cm = 3.28083 yards