Evaluate 3x² - 1 when x = 2.
A. 11
B. 35
C. 3
D. 5

The matching between polynomial with its factorization is:

Letter A - Number 5

Letter B - Number 1

Letter C - Number 2

Letter D - Number 4

Letter E - Number 6

Letter F - Number 3

In math, the factoring or factorization is used to write an algebraic expression in factors.

The question gives a polynomial and asks your respective factorization. For solving this exercise, you should calculate the multiplication between the terms and after that you should match the result with given equations.

      Multiplying the terms, you will have:

      x²-3x+5x-15=x²+2x-15

     Therefore, the letter a match with the equation 5.

      Multiplying the terms, you will have:

      2(x²+4x-4x-16)=2(x²-16)=2x²-32

     Therefore, the letter b match with the equation 1.

      Multiplying the terms, you will have:

      (x-8)*(x-8)=x²-8x-8x+64=x²-16x+64

     Therefore, the letter c match with the equation 2.

      Multiplying the terms, you will have:

      7x-x²+21-3x= -x²+4x+21

     Therefore, the letter d match with the equation 4.

      Multiplying the terms, you will have:

      x+2-5x²-10x= -5x²-9x+2

     Therefore, the letter e match with the equation 6.

      See, the equation 6 is 4-9x-2-5x²=-5x²-9x+2.

      Multiplying the terms, you will have:

     ( x – 3)( x + 3)( x² + 9)= (x²-3x+3x-9)(x²+9)= (x²-9)(x²+9)= x²-81

     Therefore, the letter f match with the equation 3.

Learn more about the factoring here:

https://brainly.com/question/11579257

Answer:

B

Step-by-step explanation:

cos A= 10÷26 =0.3846

Value of X is 8.

A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.

Given,

Figure OUTD is a rectangle.

Each angle in a rectangle measures 90 degrees.

Therefore,

(7X + 2) + 4X = 90

7X + 2 + 4X = 90

11X + 2 = 90

Subtract 2 from both sides of the equation

11X = 88

Divide both sides of the equation by 11

X = 8.

Hence, 8 is the value of x.

Learn more about rectangle here:

https://brainly.com/question/29123947

#SPJ1

Answer: 2m-6+4m

Step-by-step explanation:

Answer:

x = 15°

Step-by-step explanation:

the inscribed angle APB is half the measure of the central angle AOB , so

x = \(\frac{1}{2}\) × 30° = 15°

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

Learn more about quadrilaterals here:

https://brainly.com/question/29934440

#SPJ1

The standard normal curve can be described as a bell-shaped curve or Gaussian distribution. It is used to model a variety of phenomena in many fields, including physics, finance, and engineering. Its mean is zero, and its standard deviation is one.

The standard normal curve is symmetrical about the mean and is characterized by the empirical rule. The majority of the population is distributed within one, two, and three standard deviations from the mean (68%, 95%, and 99.7%, respectively).

Part a)13th percentile can be calculated using the standard normal distribution tables. From the tables, the value of z when the area under the curve to the left of z is 0.13 is -1.04. Therefore, the 13th percentile is -1.04. 80th percentile can be calculated in the same way as 13th percentile.

The value of z when the area under the curve to the left of z is 0.8 is 0.84. Therefore, the 80th percentile is 0.84.Part b)The values of Q and Q3 cannot be obtained from the standard normal curve since the standard normal curve is not used to study a particular set of data.

It is used to model phenomena with a normal distribution with a mean of zero and a standard deviation of one. Instead, the quartiles can be calculated using the empirical rule in conjunction with the normal distribution tables.

To know more about Gaussian distribution, click on the link below:
https://brainly.com/question/30861188#

#SPJ11

The cost of the sheets is less for the second example, the second example is the better deal.

Consider the first example:

Here, A brand of sheets is on sale for “Buy one get one at 50% off”. If each sheet costs $18.00.

So, the value of the first sheet will be $18,

And since the other sheet is at 50% off .

That is it will be half of the original value

= 50/100 * 18

=9

Therefore, the cost of two sheets

=$18 + $9

= $27.

So, Six sheets will cost

=$27+$27+$27

= $81

Cost of six sheets will be $81

Now, consider the second example

In the second example sheets are 30% off.

So, 30% of 18

= $6.

Subtract that value from 18 and you will get $12.

So, cost of one sheet =  $12.

cost of 6 sheet

=  $12×6

= $72  

In the first example, Six sheets costs $81, while in the second example six sheets cost $72.

Since the cost is less for the second example. So, the second example is the better deal.

The error represented in this scenario is an inappropriate task allocation or a mismatch between job responsibilities and the assigned task during the interview process.

The primary role of a customer service representative is to interact with customers, address their concerns, and log calls professionally and efficiently. In contrast, performing a detailed analysis of call-in data falls under the domain of data analysis or business intelligence roles.

By asking the candidate to perform a task unrelated to their potential job responsibilities, the company may not accurately assess the candidate's aptitude for customer service tasks. This error could lead to selecting a candidate who may excel in data analysis but may not possess the necessary communication and problem-solving skills required for a customer service representative position.

To avoid this error, the company should focus on evaluating candidates based on their skills, experience, and performance in tasks directly relevant to the customer service role.

To learn more about analysis click here

brainly.com/question/11954701

#SPJ11

The solution is found by slope of the graph and the solution is 2,200.

Let x the amount of money per hour and y the total amount of money.

Studio A:-

Rents for 100 dollars plus 50 dollars per hour.

\(y= 100 + 50x\)

So the slope is 50 and the y intercept is 100.

Studio B:-

rents for 50 dollars plus 75 dollars per hour.

\(y= 50 + 75x\)

So the slope is 75 and the y intercept is 50.

ThrTh solution is 2200 , see the gragraphph.

To know more about Slope of graph go through:-

https://brainly.com/question/3493733

#SPJ4

Complete question:- You and your friends decide to rent some studio time to make a CD. Big Notes Studio rents for $100 plus $50 per hour. Great Sounds Studio rents for $50 plus $75 per hour. Solve the system by graphic method.

Answer:

B

Step-by-step explanation:

plss pa brainliest me thanks

Answer:

(p +1) (4p - 5)

Step-by-step explanation:

1.) Look for 2 numbers that subtract and equal to the middle term (-1)

2.) 4 and 5

3.) 4p^2 +4p-5p - 5

4.) Factor out common factors by grouping the equation by two

5.) 4p(p+1) -5(p+1)

6.) group

7.) (4p - 5) (p+1)

Answer:

Domain: (-1, 7)

Step-by-step explanation:

Your x-values are your domain and your y-values are your range.  In this case, the function ranges from -1 to 7.

Answer:

801.66

Step-by-step explanation:

calculator

Answer:

801.6632653061

Step-by-step explanation:

.......

Answer:

\(y=a(x-(-1))(x-2)(x-6)\)

First blank       -1

Second blank +2

Third blank     +6

Step-by-step explanation:

The x-intercepts of the graph are its zero's so if we see the graph it cuts the x-axis at 3 points -1 , +2 and +6 so the factors would be

\(f(x)=a(x+1)(x-2)(x-6)\)

The equation is always written as factors of the equation in terms of where the polynomial intersects the x-axis.

Answer:

8×2=16 pellets the rabbit's receives 16 pellets

Step-by-step explanation:

The exponent that makes the equation 3^x = e true is x = log(e) / log(3).

A mathematical function called an exponential function is applied in numerous instances in the real world. It is mostly used to calculate investments, model populations, and do other tasks like determining exponential growth or decay.

x = log(e) / log(3) is the exponent that ensures the truth of the equation 3^x = e, where log is the natural logarithm.

In general, if y = logb(x) then x = b^y. The natural logarithm (base e) is a special logarithm that helps us solve exponential equations.

To learn more about exponent here:

https://brainly.com/question/5497425

#SPJ4

B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

To learn more about Central Limit Theorem, refer:-

https://brainly.com/question/18403552

#SPJ11

Answer:

rice

Step-by-step explanation:

the best

Answer:

\(\Huge \boxed{\boxed{x = 2}}\)

Step-by-step explanation:

Let \(x\) be the number that Alice started with. We can set up the following equation to represent the situation:

\(5(11 - x) = 45\)

To solve for \(x\), first divide both sides of the equation by 5:

Now, add \(x\) to both sides of the equation:

Subtract 9 from both sides:

So, the number that Alice started with was 2.

________________________________________________________

Answer:

Alice started with the number 2.

Step-by-step explanation:

Let's call the number that Alice started with \(x\).

According to the problem, Alice first subtracts \(x\) from \(11\):

\(\large\qquad\qquad\qquad{11 - x}\)

She then multiplies this result by 5 to get 45:

\(\large\qquad\quad{5(11 - x) = 45}\)

Simplifying the equation, we have:

\(\large\qquad\quad{55 - 5x = 45}\)

Subtracting 55 from both sides, we get:

\(\large\qquad\qquad{-5x = -10}\)

Dividing both sides by -5, we get:

\(\large\qquad\qquad\boxed{\boxed{\bold{\:\:x = 2\:\:}}} \)

\(\therefore\) Alice started with the number 2.

Part A:

The correct option is C.

The graph represents the function:

Part B:

The average rate of change is 1

Part A:

The graph is represents the function:

Part B:

The average rate of change on the interval -3 < x < -1 is

Answer:

Step-by-step explanation:

Comment and answer

ABC is similar to XBY           The triangles are similar because

BX = 2                                             Given

XA = 3                                             Given

BY = 3                                              Given

YC = x                                              Object of question

BX/(BX + XA) = BY / (BY + YC)       Parts of two similar triangles

2/(2 + 3) = 3/(3+ x)                           Combine the left

2/5 = 3/(3 + x)                                  Cross Multiply

2*(3 + x) = 3*5                                  Remove the brackets

6 + 2x = 15                                       Subtract 6 from both sides

6-6+2x = 15 - 6                                Combine

2x = 9                                               Divide by 2

2x/2 = 9/2

x = 4.5

Answer

x = 4.5 or D

Answer:

0.125 m²

Step-by-step explanation:

The area of a rectangle is the product of its length and breadth. Therefore:

area of the rectangle = length (l) × breadth (b) = 1 m².

l × b = 1

A triangle is cut off from that rectangle along a line connecting the midpoints of two adjacent sides, therefore the base of the triangle = length of rectangle/2 and the height of triangle = breadth of rectangle/2.

Area of triangle = 1/2(base × height) = \(\frac{1}{2}*\frac{l}{2}*\frac{b}{2}=\frac{1}{8}lb\)

since lb = 1:

Area of triangle = \(\frac{1}{8}*1=0.125m^2\)

By the compare to y =mx + b, the value of slope (m) is 1/10 and value of y - intercept is 0.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The expression is,

⇒ v = 1/10u

Now, We can write as;

⇒ v = 1/10u

⇒ v = 1/10u + 0

By compare with y = mx + b, we get;

⇒ slope (m) = 1/10

⇒ y - intercept (b) = 0

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

The fourth vertex's coordinates are as follows: ( 2.1, -3.6)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, let the missing coordinates be (a,b).

Let's now utilize the midpoint formula to locate the erroneous coordinate.

Let the reference point be (-2.3, 3.6) A.

Let point B be (2.3, 2.2).

(2.1, 2.2) Let C be the point.

The center of AC should be at BD.

Step 1: Locating the AC's midpoint

Middle pint of AC:

(-2.3 + 2.1/2), (-3.6 + 2.2/2)

(0.2/2), (1.4/2)

(-0.1, -0.7)

Let's equate the midpoints in step two.

The BD mid-point:

(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)

(a + -2.3/2) = -0.1

(a -2.3/2) = -0.1*2

a = -0.2+2.3

a = 2.1

(b + 2.2/2) = -0.7

b + 2.2 = -0.7*2

b + 2.2 = -1.4

b = -1.4 -2.2

b = -3.6

Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)

Know more about coordinates here:

https://brainly.com/question/29362355

#SPJ1

Complete question:

Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?

Answer:

V≈ 111.43 in³

Step-by-step explanation:

Equation- V = πr² × h/3

1) Divide the diameter in half to make the radius, which equals 2.85 as r.

2) Plug in the radius(r) and height(h) with the correct numbers.

3) Simply solve

V = π(2.85)² × 13.1 ÷ 3

V= 25.52 × 13.1 ÷ 3

V= 334.312 ÷ 3

V= 111.4373+

V≈ 111.43

Answer:

111.43

Step-by-step explanation:

this is the answer

Step-by-step explanation:

find 3x + 12y = 1 in terms of y

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x1=-2 and y1=6 and m=4

so using the equation

(y-y1) = m(x-x1)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.

Given an equation of line  3x + 12y = 1

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x₁=-2 and y₁=6 and m=4

so using the equation

(y-y₁) = m(x-x₁)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14

Learn more about slope intercept form here:

https://brainly.com/question/19824331

#SPJ2

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

Learn more about expressions here: https://brainly.com/question/28959918

#SPJ1