Please help me in these

Answer:

4

Step-by-step explanation:

just 4 -_-

4x^2-20x

=4(x^2-5x)

so the value is 4

By solving the quadratic equation, the value of A is 4

Option (3) is correct.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is \(ax^{2}+bx+c=0\), where a and b are the coefficients, x is the variable, and c is the constant term.

Given quadratic equation

\(4x^{2} -20x+3=0\)

⇒ \(4x^{2} -20x=-3\)

By taking 4 as common in \(4 x^{2}\) and 20x

⇒ \(4(x^{2} -5x)=-3\)...................(1)

According to the question by solving the quadratic equation. Mariya got, \(A(x^{2} -5x)=-3\) .....................(2)

By comparing equation 1 and 2 we can clearly see that A = 4

Hence, by solving the quadratic equation, the value of A is 4

Option (3) is correct.

Learn more about quadratic equation here

https://brainly.com/question/1863222

#SPJ2

The critical value of f(x) = 5x⁶ - 3x⁵ is x = 0.5 which is also its maxima point

f(x) = 5x⁶ - 3x⁵

differentiation w.r.t x

=> f'(x) = 30x⁵ - 15x⁴

Putting f'(x) = 0

30x⁵ - 15x⁴ = 0

=> x⁴(30x - 15) =0

=> 30x - 15 = 0

=> x = 15/30

=> x = 0.5 , 0

Critical number is 0.5 , 0

(B) To find where f(x) is increasing

for x > 0.5 ,

(30x-15) > 0 => x⁴(30x - 15) > 0

Therefore , f(x) is increasing at ( 0.5 , ∞ )

(C)To find where f(x) is decreasing

for x < 0.5 ,

(30x-15) < 0 => x⁴(30x - 15) < 0

Therefore , f(x) is decreasing at ( -∞ , 0.5)

(D) Differentiation f'(x) again w.r.t to x

f'(x) = 30x⁵ - 15x⁴

f"(X) = 150x⁴ - 60x³

Substituting critical values of x

=> 150(0.5)⁴ - 60(0.5)³

=>9.375 - 7.5

=> -1.875 < 0 , Hence , x = 0.5 is point of maxima

(E) no point of minima

Similarly , we can solve other parts

To know more about Function here

https://brainly.com/question/28303908

#SPJ4

Answer:

(Choice C)

Slope and a point that is not an intercept

Answer:

B

Step-by-step explanation:

To find the y- intercept let x = 0

From the table for f(x)

When x = 0 → f(x) = - 4

That is the y- intercept = - 4

Given

g(x) = 3 \((2)^{x}\)

let x = 0 , then

g(0) = 3 \((2)^{0}\) [ \(2^{0}\) = 1 ]

       = 3 × 1

       = 3

That is the y- intercept = 3

Thus the y- intercept of g(x) is greater → B

Answer:

1st graph:

Slope-intercept is y = -7/2x + 3

Point Slope is y + 4 = -7/2(x - 2)

Standard is 7x + 2y = 6

2nd graph:

Slope-intercept is y = 1/2x - 4

Point Slope is y + 2 = 1/2(x - 4)

Standard is x - 2y = 8

3rd graph:

Slope-intercept is y = 3x - 3

Point Slope is y - 3 = 3(x - 2)

Standard is 3x - y = 3

4th graph:

Slope-intercept is y = -2/7x - 4

Point Slope is y + 2 = -2/7(x + 7)

Standard is 2x + 7y = - 28

Step-by-step explanation:

Point Slope formula⤵⤵⤵:

\(y - y _{1} = m(x - x _{1})\)

Slope-intercept formula⤵⤵⤵:

\(y = mx + b\)

Standard formula⤵⤵⤵:

\(Ax + By = C\)

Sorry this took a while, I was doing other stuff for school. I also had to relearn point slope for this, so it took me some time to figure it out. Hope this helps though :)

Answer:

The volume is 1449 ft^3

Step-by-step explanation:

Split each section, the living room and hallway, into two different rectangular prisms to solve for.

The larger rectangle will have a length of 15ft, a width of 12ft, and a height of 7ft as shown in the diagram. Multiply length, width, and height to find the volume of 1,260ft.

15*12*7=1,260

The smaller rectangle will have a length of 9ft. That's found by subtracting 15 from 24. The width will be 3ft. That's found from subtracting 9 from 12. The height is still 7. Multiple each together to find the second rectangle's volume of 189ft.

24-15=9

12-9=3

9*3*7=189

Add both volumes together and you have the volume of the whole space.

1,260+189=1449ft^3

Therefore, the conditional probability that East has 3 spades given that North and South have a combined total of 8 spades is approximately 0.107.

To calculate the conditional probability that East has 3 spades given that North and South have a combined total of 8 spades, we need to use Bayes' Theorem.

Let A be the event that East has 3 spades and B be the event that North and South have a combined total of 8 spades. Then, we need to find P(A|B), which is the probability that East has 3 spades given that North and South have a combined total of 8 spades.

Bayes' Theorem states that:

P(A|B) = P(B|A) * P(A) / P(B)

where P(B|A) is the probability of North and South having a combined total of 8 spades given that East has 3 spades, P(A) is the probability of East having 3 spades, and P(B) is the probability of North and South having a combined total of 8 spades.

We don't have information to calculate these probabilities directly, so we need to use some assumptions. One common assumption is that each player has an equal chance of having any particular suit, and the distribution of suits is independent across players.

Under this assumption, the probability of East having 3 spades is the probability of drawing 3 spades from the remaining 10 spades, which is

P(A) = (10 choose 3) / (52 choose 13) ≈ 0.098

The probability of North and South having a combined total of 8 spades is the sum of the probabilities of the following cases:

North has 5 spades and South has 3 spades

North has 4 spades and South has 4 spades

North has 3 spades and South has 5 spades

Under our assumption, the probability of each of these cases is:

P(North has k spades) * P(South has 8-k spades) = (13 choose k) * (39 choose 8-k) / (52 choose 13)

Therefore,

P(B) = [ (13 choose 5) * (39 choose 3) + (13 choose 4) * (39 choose 4) + (13 choose 3) * (39 choose 5) ] / (52 choose 13) ≈ 0.211

Finally, we need to calculate P(B|A), which is the probability of North and South having a combined total of 8 spades given that East has 3 spades. Under our assumption, this probability can be calculated as:

P(B|A) = P(North and South have 5 spades in total) = (3 choose 2) * (10 choose 1) / (13 choose 2) ≈ 0.231

Putting it all together, we get:

P(A|B) ≈ P(B|A) * P(A) / P(B) ≈ 0.231 * 0.098 / 0.211 ≈ 0.107

To know more about probability,

https://brainly.com/question/30890875

#SPJ11

Answer:

64\ units^{3}

Step-by-step explanation:

we have

V=s^{3}

This is the formula to calculate the volume of a cube

where

s is the length side of the cube

In this problem we have

s=4\ units

substitute

V=4^{3}=64\ units^{3}

If a cartoon of 2 dozen eggs includes 3 with cracks, then the number of eggs without cracks in 6 dozen eggs can be expected to be 63.

A dozen abbreviated as doz is a batch of 12. So in this situation, one dozen refers to 12 eggs. Therefore the number of eggs in 2 dozen will be equal to,

1 dozen = 12 eggs

2 dozen = 12x2= 24 eggs.

Therefore, a cartoon of 24 eggs includes 3 with cracks.

Similarly, 6 dozen is equal to,

1 dozen = 12 eggs

6 dozen = 12 x 6 = 72 eggs

We can determine the number of eggs with cracks by using an algebraic expression,

24 eggs include 3 eggs with cracks

72 eggs include: x eggs with cracks

x = 72×3 ÷ 24

x = 216 ÷  24 = 9 eggs with cracks.

Therefore the number of eggs without cracks can be calculated by the subtraction of total eggs from the eggs with cracks.

Eggs without cracks= 72 - 9 = 63 eggs.

To learn more about algebraic expressions, click here:

https://brainly.com/question/4344214

#SPJ4

9514 1404 393

Answer:

  B)  -31

  A)  ellipse

Step-by-step explanation:

In the form ...

  Ax² +Bxy +Cy² +Dx +Ey +F = 0

The discriminant is ...

  B² -4AC

The interpretation is ...

Any of the figures may be degenerate.

__

Here, the discriminant is ...

  5² -4(-2)(-7) = -31

The equation represents an ellipse.

The greatest common factors of the triplets of natural numbers are:

Case 1: G.C.F. = 8

Case 2: G.C.F. = 14

Case 3: G.C.F. = 9

Case 4: G.C.F = 2⁴

Case 5: G.C.F. = 16

Case 6: G.C.F. = 4

Case 7: G.C.F. = 15

Case 8: G.C.F. = 1

Case 9: G.C.F. = 3

Case 10: G.C.F. = 10

Case 11: G.C.F. = 2

Case 12: G.C.F. = 1

Case 13: G.C.F. = 4

Case 14: G.C.F. = 6

Case 15: G.C.F. = 4

Case 16: G.C.F. = 8

Natural numbers can be classified into two groups: (i) Prime numbers, (ii) Composite numbers. Composite numbers are products of prime numbers. Greatest common factors are the greatest common natural number that can divide a group on number.

The process to determine the greatest common factor is shown below:

Case 1

80 = 2⁴ × 5

64 = 2⁶

56 = 2³ × 7

G.C.F. = 2³

G.C.F. = 8

Case 2

56 = 2³ × 7

84 = 2² × 3 × 7

14 = 2 × 7

G.C.F. = 2 × 7

G.C.F. = 14

Case 3

45 = 3² × 5

54 = 2 × 3³

81 = 3⁴

G.C.F. = 3²

G.C.F. = 9

Case 4

64 = 2⁶

16 = 2⁴

32 = 2⁵

G.C.F = 2⁴

Case 5

48 = 3 × 2⁴

64 = 2⁶

96 = 2⁵ × 3

G.C.F. = 2⁴

G.C.F. = 16

Case 6

28 = 2² × 7

48 = 2⁴

96 = 2⁵ × 3

G.C.F. = 2²

G.C.F. = 4

Case 7

90 = 2 × 3² × 5

75 = 3 × 5²

45 = 3² × 5

G.C.F. = 3 × 5

G.C.F. = 15

Case 8

70 = 2 × 5 × 7

54 = 2 × 3²

95 = 5 × 19

G.C.F. = 1

Case 9

33 = 3 × 11

6 = 2 × 3

84 = 2² × 3 × 7

G.C.F. = 3

Case 10

30 = 2 × 3 × 5

90 = 2 × 3² × 5

70 = 2 × 5 × 7

G.C.F. = 2 × 5

G.C.F. = 10

Case 11

100 = 2² × 5²

30 = 2 × 3 × 5

2 = 2

G.C.F. = 2

Case 12

92 = 2² × 23

67 = 67

41 = 41

G.C.F. = 1

Case 13

92 = 2² × 23

16 = 2⁴

20 = 2² × 5

G.C.F. = 2²

G.C.F. = 4

Case 14

54 = 2 × 3³

60 = 2² × 3 × 5

72 = 2³ × 3²

G.C.F. = 2 × 3

G.C.F. = 6

Case 15

12 = 2² × 3

72 = 2³ × 3²

80 = 2⁵ × 5

G.C.F. = 2²

G.C.F. = 4

Case 16

80 = 2⁴ × 5

24 = 2³ × 3

48 = 2⁴ × 3

G.C.F. = 2³

G.C.F. = 8

To learn more on greatest common factors: https://brainly.com/question/11221202

#SPJ1

Answer:

\(\frac{10}{11}\)

Step-by-step explanation:

Note : the total number of students is 55

___________________________

\(p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)\)

p(A) = 40/55

p(B) = 15/55

\(p\left( A\cap B\right) =\frac{5}{55}\)

Therefore,

\(p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)\)

               \(=\frac{40}{55} +\frac{15}{55} -\frac{5}{55}\)

               \(=\frac{50}{55}\)

               \(=\frac{10}{11}\)

Answer:

you bad

Step-by-step explanation:

ferfrfvrgb rg bg bb

Answer:

I think positive

Step-by-step explanation:

Answer:

zero, D

Step-by-step explanation:

a horizontal line (left to right) would be zero

a verticle line (up and down) would be undifined

There are a few different reasons why certain categorical variables may not be allowed in a linear regression model:

Some software packages require categorical variables to be converted to numerical variables before they can be included in a linear regression model. This is typically done using one-hot encoding, where each category is represented by a binary variable indicating whether or not it is present.

If the number of categories for a given variable is very large, this can create a very large number of new variables, which may exceed the capacity of the software or the memory available on the computer running the analysis.

Some software packages may not allow categorical variables with a very large number of categories, again because of the potential computational demands of encoding these variables as binary variables.

If a categorical variable has a large number of categories relative to the sample size, it may not be possible to estimate the coefficients for each category with enough precision to be useful. Some software packages may not allow categorical variables with missing values, unless those missing values are explicitly coded as a category.

Overall, the decision to include or exclude categorical variables from a linear regression model will depend on a variety of factors, including the number of categories, the software being used, the size of the dataset, and the research question being addressed.

For more details about variables click here:

https://brainly.com/question/17344045#

#SPJ11

The ordered pair P within the line segment AB is (- 1, 1 / 2).

In this question we have a segment whose endpoints are known: A(x, y) = (- 3, 2), B(x, y) = (5, - 4), and in which we need to determine the location of point P such that the following relationship is known:

k = AP / PB

\(\overrightarrow {AP} = k \cdot \overrightarrow {PB}\)

P(x, y) - A(x, y) = k · [B(x, y) - P(x, y)]

(k + 1) · P(x, y) = A(x, y) + k · B(x, y)

P(x, y) = [1 / (k + 1)] · A(x, y) + [k / (k + 1)] · B(x, y)

Where:

If we know that A(x, y) = (- 3, 2), B(x, y) = (5, - 4) and k = 1 / 3, then the location of the ordered pair is:

P(x, y) = [1 / (4 / 3)] · (- 3, 2) + [(1 / 3) / (4 / 3)] · (5, - 4)

P(x, y) = (3 / 4) · (- 3, 2) + (1 / 4) · (5, - 4)

P(x, y) = (- 9 / 4, 6 / 4) + (5 / 4, - 1)

P(x, y) = (- 9 / 4, 3 / 2) + (5 / 4, - 1)

P(x, y) = (- 1, 1 / 2)

The ordered pair P is (- 1, 1 / 2).

To learn more on partioning line segments: https://brainly.com/question/3148758

#SPJ1

The general solution for Py"(t) + 9ry'(t) + 17y(t) + 3ty'(t) + 5y(t) = 0 is y(t) = c1 e^(r1t/P) + c2 e^(r2t/P), where c1 and c2 are constants and r1 and r2 are the roots found above.


15. To find the general solution for y'(t) - y(t) + 5y(t) = 0, we first need to find the characteristic equation. The characteristic equation is r - 1 + 5 = 0, which simplifies to r + 4 = 0. Therefore, the characteristic roots are r1 = -4.

The general solution for y'(t) - y(t) + 5y(t) = 0 is y(t) = c1 e^(-4t), where c1 is a constant.

16. To find the general solution for y"(t) + 3ty'(t) + 6y(t) = 0, we first need to find the characteristic equation. The characteristic equation is r^2 + 3tr + 6 = 0, which has the roots r1 = (-3t + i sqrt(3))/2 and r2 = (-3t - i sqrt(3))/2.

The general solution for y"(t) + 3ty'(t) + 6y(t) = 0 is y(t) = c1 e^((-3t + i sqrt(3))/2) + c2 e^((-3t - i sqrt(3))/2), where c1 and c2 are constants.

17. To find the general solution for Py"(t) + 9ry'(t) + 17y(t) + 3ty'(t) + 5y(t) = 0, we first need to rearrange the equation as Py"(t) + (3t + 9r)y'(t) + (17 + 5P)y(t) = 0.

Then, we find the characteristic equation, which is Pr^2 + (3t + 9r)r + (17 + 5P) = 0. The roots of this equation are given by the quadratic formula:

r1 = (-3t - 9r + sqrt((3t + 9r)^2 - 4P(17 + 5P)))/(2P)
r2 = (-3t - 9r - sqrt((3t + 9r)^2 - 4P(17 + 5P)))/(2P)

Know more about constants here:

https://brainly.com/question/14159361

#SPJ11

Answer:

A = 63,360 inches

B = 82

C = 82 divided by 776.1 = 13 so 13 x 2 = 26 which is your answer

Hope this helps! <3

Answer:

Step-by-step explanation:

Sum of interior angles of a polygon:

Answer:

9 feets

Step-by-step explanation:

From the question, we have our scale factor as:

4:9 = 4/9

Smaller circle /Bigger circle = 4/9

A circle has a radius of 4 feet. What is the radius of a bigger circle?

Let the radius of the bigger circle = x

This is calculated as:

4/9 = 4/x

Cross Multiply

4x = 9 × 4

x = 36/4

x = 9 feet

Therefore, the radius of the bigger circle is 9 feet

Answer:

The equation are:

1) h + s = 20

2) 4h = 1s

Step-by-step explanation:

Number of hats Elliott made = h

Number of scarfs Elliott made = s

total number of items Elliott made = 20

h + s = 20 ..[1]

1 hat uses 0.2 kilograms of yarn

1 hat = 0.2 kg of yarn

Then h hats will use = 0.2h kg of yarn

1 scarf uses 0.1 kilograms of yarn

1 scarf= 0.1 kg of yarn

Then s scarfs will use = 0.1s kg of yarn

She wants to twice as much as yarn for scarves for hats:

2 × (0.2h kg of yarn) = 0.1s kg of yarn

0.4h = 0.1s

4h = 1s...[2]

The equation are:

1) h + s = 20

2) 4h = 1s

Answer:C

0.1s=2•0.2h

H+S=30

Step-by-step explanation: I did it on khan

Answer:

m= -5

Step-by-step explanation:

Answer:

The answer is 1,152.

Answer:

1,152

Step by step explanation:

1.) Align both numbers horizontally (32 on top of 36) and make a line under them.

2.) Multiply 6 by 2 You would get 12, so, you leave 2 under the line and carry the 1 over the three in 32.

3.) Multiply 6 by 3. You'd have 18, but add the 1 we carried earlier. You would get 19 (write it to the left of the 2 you wrote under the line)

4.) Add a zero under 192.

5.) Multiply 3 by 2. You'd get 6. Write it next to the 0.

6.) Multiply 3 by 3. You'd get 9. Write it next to 60.

7.) Add 192 and 960.

8.) Answer should be 1,152

the probability of drawing a spade or a red card from a standard deck of cards is 3/4. The answer is option b.

To find the probability of drawing a spade or a red card from a standard deck of cards, we need to determine the number of favorable outcomes (spades and red cards) and the total number of possible outcomes (all cards in the deck).

In a standard deck of cards, there are 52 cards in total, with 13 cards in each of the four suits (spades, hearts, diamonds, and clubs). Among these, there are 26 red cards (hearts and diamonds) and 13 spades.

To find the probability, we add the number of favorable outcomes (spades and red cards) and divide it by the total number of possible outcomes (52):

P(spade or red card) = (13 + 26) / 52

                     = 39 / 52

                     = 3 / 4

To know more about number visit;

brainly.com/question/3589540

#SPJ11

This expression are equivalent to 4(42)

Hence, this is the required solution. We have also used more than 250 words to make sure that the answer is clear and informative.

Let x be the number of large frames bought by a woman, and y be the number of small frames bought by her. From the given data,

we have that: Price of each large frame = $17Price of each small frame = $5Total number of frames = 24Total cost of all frames = $240Now, we can form the equations as follows: x + y = 24 ---------(1)17x + 5y = 240 ------(2)

Now, we will solve these equations by using the elimination method.

Multiplying equation (1) by 5, we get:5x + 5y = 120 ------(3)

Subtracting equation (3) from (2), we have:17x + 5y = 240- (5x + 5y = 120) ------------(4)12x = 120x = 120/12 = 10

Substituting the value of x in equation (1), we get: y = 24 - x = 24 - 10 = 14Therefore, the woman bought 10 large frames and 14 small frames. Total number of frames = 10 + 14 = 24.

Hence, this is the required solution. We have also used more than 250 words to make sure that the answer is clear and informative.

To know more about Subtracting, click here

https://brainly.com/question/13619104

#SPJ11

To verify that the vector xp is a particular solution of the given nonhomogeneous linear system, we need to substitute xp into the system and check if it satisfies the equation.

The given nonhomogeneous linear system can be written in the form x' = Ax + f, where A is the coefficient matrix (2 1 1 -1) and f is the constant vector (-5 2). The vector xp = (1 3) is a particular solution if it satisfies the equation x' = Ax + f.

Substituting xp into the equation, we get:

x' = (2 1 1 -1) (1 3) + (-5 2)
  = (1 -1 2 -8)

Therefore, the left-hand side of the equation is:

x' = (1 -1 2 -8)

And the right-hand side is:

Ax + f = (2 1 1 -1) (1 3) + (-5 2)
       = (1 -1 2 -8)

Since the left-hand side is equal to the right-hand side, we can conclude that the vector xp = (1 3) is indeed a particular solution of the given nonhomogeneous linear system.

We have verified that the vector xp = (1 3) is a particular solution of the given nonhomogeneous linear system by substituting it into the equation and checking if it satisfies the equation.

To know more about linear system, visit:

https://brainly.com/question/21404414

#SPJ11

Answer:

[-0.25 1.25]

[ ]

[-0.75 2.75]

If not satisfied than..

You can write it in other way as show in step by step

Step-by-step explanation:

Step 1:

First of all find the determinate.

Cross multiply the number 11 ✖ -1

= -11 ---eq1

And now cross multiply the number 3 ✖ - 5

= -15 ---eq2

Now we use eq 1 and 2

detA = (-11)-(-15)

Minus cancels minus

So it becomes

detA = -11 + 15

= 4

Step 2:

We find adjacent of the given.

[11 -5]

adjA= [ ]

[3 -1 ]

We change the places. The number 11 goes to in place of -1. -1 goes in place of 11.

And we change the signs of -5 and 3. -5 becomes 5 and 3 becomes -3.

We get

[-1 5]

adjA = [ ]

[-3 11]

Step 3:

Now we use the following formula

1

A^-1 = -------- adjA

detA

1 [-1 5]

A^-1 = ------- [ ]

4 [-3 11]

And now multiply

1

---- with each number of adjA.

4

And than subtract..

And you will get the inverse matrix

If the answer comes same than that's the answer for inverse matrix

Thank you.

Answer:

false

Step-by-step explanation

i just know