What the Factor for x^2-4x+24​

The linear transformation of the given matrix T after performing necessary operations [2b₁ + 4b₂ - 3b₃] in the linear form will be T(2b₁ +4b₂ -3b₃) =  27b₁ - 27b₂ - 27b₃

Here we have the matrix

\([T]_B = \left[\begin{array}{ccc}2&5&-1\\0&-6&1\\1&-2&7\end{array}\right]\)

Now here we have the linear transformation for 2b₁ + 4b₂ - 3b₃

Now writing this in the form of the column-wise vector will give us

\([2b_1 + 4b_2 - 3b_3]_B = \left[\begin{array}{ccc}2\\4\\-3\end{array}\right]\)

Now we are asked to find the linear transformation for

T(2b₁ +4b₂ -3b₃)

This implies that to get the required answer, we need to multiply the two matrices  to get

\([T(2b_1+4b_2 -3b_3)]_B = \left[\begin{array}{ccc}2&5&-1\\0&-6&1\\1&-2&7\end{array}\right] \left[\begin{array}{ccc}2\\4\\-3\end{array}\right]\)

Now we will get

\([T(2b_1+4b_2-3b_3)]=\left[\begin{array}{ccc}27\\-27\\-27\end{array}\right]\)

Hence we get in linear form T(2b₁ +4b₂ -3b₃) =  27b₁ - 27b₂ - 27b₃

To learn more about Linear Transformation visit

https://brainly.com/question/30822858

#SPJ4

Complete Question

(Image Attached)

Answer:

(7, 3)

Explanation:

(-7, -3) are reflected to positives over the y-axis

Answer:

(-7, -3) reflected over the y-axis = (7, -3)

Step-by-step explanation:

[y]

|

______|_____[x]

(-7, -3) |

|

_________

[y]

|

______|_____[x]

(-7, -3) →|

|

__________

[y]

(-x,+y) | (+x,+y)

______|_____[x]

(-7, -3) → |

(-x, -y) | (+x,-y)

____________

[y]

(-x,+y) | (+x,+y)

______|_____[x]

(-7, -3) → | (7, -3)

(-x, -y) | (+x,-y)

Answer: The /\ is 6. The number is 6.

Explanation: 678564 ÷ 9 = 75396

Answer:

Katie had the highest mean score.

Step-by-step explanation:

Katie had the highest mean score because her mean score was 81.4, and Annie's highest mean score was 72.4.

Answer: Katie

Step-by-step explanation: In six of out 7 times Katie had higher marks.

Annie mean is 72.42

Katie's mean is 81.42

Answer:

86×4 = 344

4×4= 16

3×3= 9

Step-by-step explanation:

I hope it help

Answer: 344, 16, 9

Step-by-step explanation:

Answer:

D 18%

Step-by-step explanation:

18/100 = 18%so D is the answer

The integrating factor u(t) is e6t. The solution to the given initial value problem is y(t) = (5t + 26)/36 with y(1) = 1.

The given differential equation is t(dy/dt) + 6y = 5t with y(1) = 1. To solve the given differential equation, we need to use an integrating factor which is given as u(t). The integrating factor u(t) is given as;

u(t) = e ∫p(t)dt, where p(t) is the coefficient of y(t).

Here, the coefficient of y(t) is 6. Therefore,p(t) = 6. Substituting the value of p(t), we get;

u(t) = e ∫6 dt = e6t

We multiply both sides of the differential equation by u(t).

t(dy/dt) + 6y = 5t

By multiplying the given differential equation with u(t) = e6t, we get;

e6t * t(dy/dt) + e6t * 6y = e6t * 5te6t*t(dy/dt) + 6e6t*y = 5e6t

By the product rule of differentiation, we can simplify the left side of the above equation;

[e6t * t(y)]' = 5e6t

By integrating both sides, we obtain;

e6t * t(y) = ∫5e6t dt = e6t(5t - 5/6)

Therefore, t(y) = (5t/6) - (5/36)

By using the initial condition y(1) = 1, we can identify the constant of integration. Therefore;

1 = (5/6) - (5/36) + C

=> C = 31/36

Hence, the solution to the given differential equation is y(t) = (5t/6) - (5/36) + (31/36) or y(t) = (5t + 26)/36

You can learn more about integrating factors at: brainly.com/question/32554742

#SPJ11

Answer:

50.6

Step-by-step explanation:

46*.1=4.6

46+4.6=50.6

Answer:

± 7

Step-by-step explanation:

Given

\(\sqrt{56-7}\)

= \(\sqrt{49}\)

= + 7 or - 7 , that is ± 7

Answer:

±7

Step-by-step explanation:

56 - 57

______

gives you 49

which then turns into ±7

⇒⇒⇒Hope this helps!

The survey is of the population of all the patients present in that particular hospital.

A survey is a set of questions used in human subject research with the goal of gathering specific information from a certain population.

Surveys can be carried out via the phone, by mail, online, at street corners, and even in shopping centers.

Surveys are used to collect data or learn more in areas like demography and social research.

Survey research is frequently used to evaluate ideas, beliefs, and emotions.

Surveys might have narrow, focused objectives or they can have broad, more general objectives.

So, in the given situation the survey states that 62.42% of the respondents indicated that the health care providers needed to spend more time with each patient.

So, it is clear that the remaining respondents have the opposite view on this.

So, the respondents will be all the patients present in the local hospital.

Therefore, the survey is of the population of all the patients present in that particular hospital.

Know more about a survey here:

https://brainly.com/question/25896797

#SPJ4

The amount Arianna sold 80 milkshakes last week, and 35% of them had whipped cream on top. This means 28 milkshakes had whipped cream.

Arianna sold 80 milkshakes last week and 35% of them had whipped cream on top. This means that 35% of the total number of milkshakes, 80, had whipped cream. To calculate the amount of milkshakes with whipped cream, we must multiply the total number of milkshakes (80) by 35%. 35% of 80 is 28, so 28 milkshakes had whipped cream. To find the percentage, we divide the amount of milkshakes with whipped cream (28) by the total number of milkshakes (80). When we divide 28 by 80, we get 0.35, which is the same as 35%. Therefore, 35% of the milkshakes sold by Arianna last week had whipped cream on top.

Total milkshakes: 80

Milkshakes with whipped cream: 28

Percentage: 28/80 = 0.35 = 35%

Learn more about amount here

https://brainly.com/question/28970975

#SPJ4

The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

Learn more about sampling methods here:

https://brainly.com/question/15604044

#SPJ4

To estimate the area under the graph of function f, we can divide the interval [1, 2] into four subintervals and use the right endpoint of each subinterval to determine the height of the rectangles. Then, we calculate the sum of the areas of these rectangles to estimate the total area.

The interval [1, 2] is divided into four subintervals: [1, 1.25], [1.25, 1.5], [1.5, 1.75], and [1.75, 2]. Since we are using right endpoints, the right endpoint of each subinterval corresponds to the x-coordinate of the rectangle's right side. Let's denote these right endpoints as x₁ = 1.25, x₂ = 1.5, x₃ = 1.75, and x₄ = 2.

Next, we evaluate the function f at each of these right endpoints to obtain the heights of the rectangles. Let's denote the heights as h₁ = f(x₁), h₂ = f(x₂), h₃ = f(x₃), and h₄ = f(x₄).

The width of each rectangle is given by the difference between consecutive right endpoints: Δx = x₂ - x₁ = x₃ - x₂ = x₄ - x₃ = 0.25 (since we have divided the interval into four equal subintervals).

Finally, we can estimate the area under the curve by summing the areas of the four rectangles:

Area ≈ (h₁ * Δx) + (h₂ * Δx) + (h₃ * Δx) + (h₄ * Δx).

This estimation method assumes that the function f is continuous over the interval [1, 2] and that the right endpoints of the subintervals provide a reasonable approximation of the curve's behavior.

Learn more about rectangles here: https://brainly.com/question/29123947

#SPJ11

Answer:

20 m

Step-by-step explanation:

ancho = x

largo = x + 60

área = largo × ancho

1600 = (x + 60)x

x² + 60x - 1600 = 0

(x + 80)(x - 20) = 0

x + 80 = 0  o   x - 20 = 0

x = -80 o x = 20

Answer: 20 metros

The integral ˆ«(1 to [infinity]) xe^-x2 dx, is  E) divergent, that is, an indefinite integral with an upper limit of infinity.

Let's use the following steps to evaluate indefinite integral:

ˆ«(1 to [infinity]) xe^-x2 dx

We can start by making a substitution to simplify the integral.

We substitute u = -x^2, du = -2x dx. When x approaches infinity, u approaches negative infinity, and when x is 1, u is -1.

Now we can rewrite the integral with the substitution:

ˆ«(-1 to -infinity) e^(u/2) du

Next, we can use the limit property of integrals to evaluate the integral as u approaches negative infinity:

lim[u->-infinity] ˆ«(-1 to u) e^(u/2) du

As u approaches negative infinity, e^(u/2) approaches zero, so the integral becomes zero or the integral converges to zero.

Read more about indefinite integral at brainly.com/question/27419605

#SPJ1

Answer:

\(sin^2x\)

Step-by-step explanation:

To simplify the expression (1 - cos x)(1 + cos x), we can use the difference of squares identity, which states that \(a^2 - b^2 = (a + b)(a - b).\)

Let's apply this identity to the given expression:

\((1 - cos x)(1 + cos x) = 1^2 - (cos x)^2\)

Now, we can simplify further by using the trigonometric identity \(cos^2(x) + sin^2(x) = 1.\) By rearranging this identity, we have \(cos^2(x) = 1 - sin^2(x).\)

Substituting this into our expression, we get:

\(1^2 - (cos x)^2 = 1 - (1 - sin^2(x))\)

Simplifying further:

\(1 - (1 - sin^2(x)) = 1 - 1 + sin^2(x)\)

Finally, we get the simplified expression:

\((1 - cos x)(1 + cos x) = sin^2(x)\)

To simplify the expression \(\sf\:(1-\cos x)(1+\cos x)\\\), follow these steps:

Step 1: Apply the distributive property.

\(\longrightarrow\sf\:(1-\cos x)(1+\cos x) = 1 \cdot 1 + 1 \cdot \\\)\(\sf\: \cos x -\cos x \cdot 1 - \cos x \cdot \cos x\\\)

Step 2: Simplify the terms.

\(\longrightarrow\sf\:1 + \cos x - \cos x - \cos^2 x\\\)

Step 3: Combine like terms.

\(\longrightarrow\sf\:1 - \cos^2 x\\\)

Step 4: Apply the identity \(\sf\:\cos^2 x = 1 - \sin^2 x\\\).

\(\sf\:1 - (1 - \sin^2 x)\\\)

Step 5: Simplify further.

\(\longrightarrow\sf\:1 - 1 + \sin^2 x\\\)

Step 6: Final result.

\(\sf\red\bigstar{\boxed{\sin^2 x}}\\\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

x=-6

Step-by-step explanation:

(8x-15)=(3x-45)

Based on the data in the table, if a cow is randomly selected from farm B, the probability that its feed includes seaweed is 0.597 (Option D) and without is 0.57

Note that the total number of feed with sea weed is 74.
And the total number of cows on the farm B is 124.

Thus, the cows whose feed includes seaweed is 74/124

= 0.59677419354

≈ 0.597

The Probability of those whose feed is without sea weed is

Note that the total number of feed without sea weed is 40.
And the total number of cows on the farm B is 76.

Thus, the probability is 40/70
= 0.5714285714

≈ 0.571

Learn more about probability:
https://brainly.com/question/30034780
#SPJ1

Answer: d.  The vertical scale is too narrow. It needs to be a wider range, such as 0 to 100.

Step-by-step explanation:

The vertical scale is indeed too narrow. It needs to have a wider range that will enable a person who is looking at the graph, better compare the results shown because the magnitude of the number will be more apparent.

A range such as 0 to 100 would be ideal for this and would present the information in such a way that when a person looks at the graph, they understand the relative difference between the percentages who agreed with the court decision.

The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

learn more about change here

brainly.com/question/32782775

#SPJ4

The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

If the zeros of the polynomial are {x₁, x₂, x₃,...} and the known point is  (x₀, y₀), then the polynomial can be written as:

P(x) =  (x - x₁)*(x - x₂)*....*y₀/(x₀ - x₁)*(x₀ - x₂)*...

Now, suppose that we are given the zeros of the polynomial and these are:

{x₁, x₂, x₃,...}

We can write a general polynomial with a leading coefficient A as:

P(x) = A*(x - x₁)*(x - x₂)*....

Now, to determine the value of A, we also need to know a point, let's suppose that the known point is (x₀, y₀), then we can rewrite:

P(x₀) = y₀ = A*(x₀ - x₁)*(x₀ - x₂)*....

y₀/(x₀ - x₁)*(x₀ - x₂)*.... = A

And in that way we can write the polynomial with the known zeros:

{x₁, x₂, x₃,...}

And known point  (x₀, y₀)

as:

P(x) =  (x - x₁)*(x - x₂)*....*y₀/(x₀ - x₁)*(x₀ - x₂)*...

Learn more about polynomials by reading:

https://brainly.com/question/4142886

#SPJ1

The exact value of all six trigonometric functions from the given below point (-4,5) on the terminal side of an angle θ in standard position are as follow:

sinθ = (-4/√41) ,   cosecθ = ( -√41/4)

cosθ =(5/√41) ,    secθ = ( √41 /5)

tanθ =(-4/5) ,        cotθ = ( -5/4)

As given in the question,

Given point ( x, y) = (-4,5)  which is below on the terminal side of an angle θ in standard form.

Coordinate y represents the perpendicular side

Coordinate x represents the base

Using Pythagoras theorem ,

Let 'r' represents the hypotenuse .

r = √x² + y²

 = √(-4)² + 5²

 = √16 + 25

 = √41

Exact value of all the trigonometric functions are as follow:

sinθ = (x/r)

        = (-4 /√41)

cosθ = ( y /r)

       = ( 5/ √41 )

tanθ = ( x/y)

       = ( -4 /5)

cosecθ = ( r / x)

            = ( -√41 /4)

secθ = ( r/y)

        = ( √41/ 5)

cotθ = ( y/x)

        =( -5/4)

Therefore, the exact value of all six trigonometric functions from the given below point (-4,5) on the terminal side of an angle θ in standard position are as follow:

sinθ = (-4/√41) ,   cosecθ = ( -√41/4)

cosθ =(5/√41) ,    secθ = ( √41 /5)

tanθ =(-4/5) ,        cotθ = ( -5/4)

Learn more about trigonometric functions here

brainly.com/question/14746686

#SPJ4

Answer:

please list the questions and I will try to help :)

Answer:

267

Step-by-step explanation:

Answer:

First dont give candie second keep for yourself third mock them 4th be greedy

Step-by-step explanation:

by buying candie from your own money nah waste on yourself

Answer:

(x-3) (x-2)

Step-by-step explanation:

\(x^{2}\) - 5x + 6

How to break down the equation and factorise it:

-3 x -2 = 6

-3 + -2 = -5

Final Answer:

(x-3) (x-2)

The total cost of canvas required to make the tent at the rate of Rs. 15 per square meter is; Rs. 24,997

We are told that the bottom part of the tent house is a square cuboid up to a height of 10 m.

Thereafter, it is a pyramid.

Now, formula for volume of a cuboid is;

V = lwh

V = 20 * 20 * 10

V = 4000 m³

Formula for volume of a pyramid is;

V = lwh/3

V = (20 * 20 * h)/3

V = 400h/3

Total volume is 4800 of the entire tent house. Thus;

4000 + (400h/3) = 4800

400h/3 = 800

h = (800 * 3)/400

h = 6 m

Now, from online calculation, the surface area of the pyramid excluding the base is;

TSA_p = 466.48 m²

Total surface area of cuboid excluding the top is;

S.A = 1200 m²

Total surface area of canvas = 1200 + 466.48 = 1666.48 m²

Since cost per sq.m is Rs. 15 per m², then;

Total cost = 15 * 1666.48

Total Cost = Rs. 24,997

Read more about Total Cost at; https://brainly.com/question/25109150

Answer:

the x-coordinate and y-coordinate change places.

Step-by-step explanation: so you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Answer:  The last option appears correct.

Step-by-step explanation:

-7*(-6 - 1/8)

-7*(-6) + 7*(1/8)

7(6) + 7*(1/8)