please help !!!!!

To determine the number of solutions for the system Ax = b, where b = [2, 4, 6]^T, we need to consider the matrix A and its properties. The given vector b is a column vector with 3 elements, which suggests that the matrix A has 3 rows. Let's assume A is an m x n matrix, where m is the number of rows and n is the number of columns.

Step 1: Set up the system
We have Ax = b, where A is an m x n matrix and b is a 3x1 column vector.

Step 2: Determine the rank of A and the augmented matrix [A | b]
To find the number of solutions, we need to calculate the rank of matrix A (denoted as rank(A)) and the rank of the augmented matrix [A | b] (denoted as rank([A | b])).

Step 3: Compare the ranks
Now, we need to compare the ranks of A and [A | b]. There are three possible scenarios:

a) If rank(A) = rank([A | b]) < n, the system has infinitely many solutions.
b) If rank(A) = rank([A | b]) = n, the system has a unique solution.
c) If rank(A) < rank([A | b]), the system has no solution.

Since we do not have the matrix A, we cannot determine the exact number of solutions for the system Ax = b. The number of solutions will depend on the properties of matrix A and its rank compared to the rank of the augmented matrix [A | b].

To know more about number of solutions visit:

https://brainly.com/question/29047828

#SPJ11

Answer:

5 cm

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let h be the hypotenuse , then

h² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

h = \(\sqrt{25}\) = 5

Answer:

-3

Step-by-step explanation:

Answer:

<-2, >-3.5

You can't really explain this without the chart that they probably gave you

Answer: x^2+3x+5

Step-by-step explanation:

Substitute (x+4) in so that you get f(x)=(x+4)^2-5(x+4)+9. Then expand so you get x^2+8x+16-5x-20+9. Now simplify and you get x^2+3x+5. That is your final answer.

Answer:

what can not see nothing

Step-by-step explanation:

For Tom's Pizza Restaurant where expenses for the restaurant include raw material for pizza, monthly rent and insurance, total 35 slices must be sold in a month to break even.

There is Tom has a Pizza Restaurant. Now, the Expenses for the restaurant include raw material for pizza = $7.02 per slices

Monthly rental = $ 121.00

Monthly insurance= $56.00

So, Monthly fixed expense = Rent + Insurance = 121+ 56 = $177

The sell rate of pizza = $12.02/slice.

We have to determine the number of slices restaurant sell in a month to break even.

Contribution margin per share = selling price per slice - variable cost per slice = 12.02 - 7.02 = $5.00

Number of slice to be sold to break even = Fixed cost divided by Contribution margin per slice = \(\frac{ 177}{5}\)

= 35.4

= 35 (rounded to whole number)

Hence, 35 slices must be sold for break even.

For more information about Expenses, visit :

https://brainly.com/question/25169847

#SPJ4

The vertex F(−2, 4) in the dilated image has coordinates of (−6, 12) option (B) F' is correct.

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

It is given that:

The coordinates are:

Rectangle EFGH has vertices E(−3, 4), F(−2, 4), G(−2, −2), and H(−3, −2).

After applying dilation with a scale factor of 3:

E(−3, 4) → E'(-3x3, 4x3) = E'(-9, 12)

Similarly,

F(−2, 4) → F'(-6, 12)

G(−2, −2) → G'(-6, -6)

H(−3, −2) → H'(-9, -6)

Thus, the vertex F(−2, 4) in the dilated image has coordinates of (−6, 12) option (B) F' is correct.

Learn more about the dilation here:

brainly.com/question/13176891

#SPJ1

Answer:

The coordinates of point B are (-4,5/2)

Step-by-step explanation:

The transformation  B(-8,5) →(-8/2, 5/2) represents a dilation centered at the origin.

When a point is relocated from its original place to a new location, it is changed. Different transformations include translation, rotation, reflection, and dilation.

You can dilate figures on the coordinate plane. The origin is commonly used as the dilatation center. You can identify the points in the picture if you deform a figure centered at the origin by multiplying the coordinates of the points in the preimage by the scale factor.

We have been given that Point B(-8,5) is dilated from the origin by scale factor r = 1/2

The scale factor i.e. 0.75 is multiplying the coordinates of the points B(-8,5)

So the coordinates of point B = (-8/2, 5/2)

Thus, the transformation  B(-8,5) →(-8/2, 5/2) represents a dilation centered at the origin.

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ2

Answer: 24$

Step-by-step explanation:

Answer:

f= 1.3s - 8.7

Step-by-step explanation:

Slope is M

M = 1.3 feet per second

y=mx+ b your b= 8.7ft

your equation is

f= 1.3s - 8.7

Step-by-step explanation:

2 1/3

=2*3+1/3

=7/3

The sine of 0 radians is 0.

In trigonometry, the sine of an angle is defined as the ratio of the length of the side opposite to the angle to the length of the hypotenuse of a right-angled triangle.

When the angle is 0 degrees (or 0 radians), the opposite side has a length of 0, and thus the ratio is also 0. Therefore, the sine of 0 radians is 0.

In a circle with the radius r, the horizontal axis x, and the vertical axis y, 0 is the angle formed by the two sides x and r; r moving counterclockwise is the positive angle.

Note that, the sine function maps an angle to a value which is between -1 and 1, with a periodic nature, meaning that the values repeat in a cycle as the angle increases.

Know more about sine here:

https://brainly.com/question/12595712

#SPJ11

Step-by-step explanation:

\(25(x - 910) = - 234 \\ 25x - 22750 = - 234 \\ 25x = 22516 \\ x = \frac{22516}{25} \\ x = 900 \frac{16}{25} \)

The value of x is \(900\frac{16}{25}\) for the equation 25(x−910)=−234.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 25(x−910)=−234

Twenty five times of x minus nine hundred ten equal to minus two hundred thirty four.

25(x−910)=−234

We need to solve for x

Apply distributive property on left hand side

25x-22750=-234

Add 22750 on both sides

25x=-234+22750

25x=22516

Divide both sides by 25

x=22516/25

\(x=900\frac{16}{25}\)

Hence, the value of x is \(900\frac{16}{25}\) for the equation 25(x−910)=−234.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

Hi! Maria is 15 years old, Selena - 17 and Sofía - 12

4x+6y=10

-

2x+5y=1

= 2x+y=9

2x=9-y       -1

9-y+5y=1    ( using 1)

4y=1-9

y=-8/4

y=-2

2x=9-(-2)

2x=11

x=11/2

The probability that at least two of the 14 bits are 1 is approximately 0.9658 if a sequence of 14 bits is randomly generated.

Sequence number = 14

favourable outcome = 1

we can use the complement rule to calculate the probability that at least two of the 14 bits are 1.

The probability of a single bit 1 = 1/2

The probability of a single bit 0 = 1/2.

The probability that a single bit is not 1 =  \((\frac{1}{2}) ^{14}\)

The probability that exactly one bit is 1 =  \(14*(\frac{1}{2} ^{14} )\)

Therefore, the probability that at least two of the 14 bits are 1 is:

probability  = 1 - \((\frac{1}{2} ^{14} ) - 14*(\frac{1}{2} ^{14} )\)

probability  = 1 - \(15*( \frac{1}{2} ^{14} )\)

probability  = 0.9658

Therefore we can conclude that the probability that at least two of the 14 bits are 1 is approximately 0.9658.

To learn more about Probability

https://brainly.com/question/14210034

#SPJ4

\(m\angle S=\sin\dfrac{\sqrt{111}}{2\sqrt{37}}=\sin\dfrac{\sqrt3}{2}=60^{\circ}\)

Answer:

Step-by-step explanation:

sin S = UT/US

sin S = root(111) / 2root(37)
sin S = root(3).root(37) / 2root(37)

sin S = root(3)/2

S = 60

Answer:

The correct option is;

Simpson Paradox

Step-by-step explanation:

The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observe when the portions are joined together is known as Simpson's paradox.

Whereby the data for calculating the bating averages as found online are given as follows;

Season,                       Derek Jeter                           David Justice

1995,                           12/48 = 0.250                         104/411 ≈ 0.253

1996,                           183/582 ≈ 0.314                      45/140 ≈ 0.321

The overall hits to the overall bats ratio are;

,         (183 + 12)/(582 + 48) ≈0.310   (104+45)/(411+140) = 0.27

Which shows that  Derek Jeter's overall average was better than Justice's average  

Answer:

h/4=h-5

Step-by-step explanation:

quotient means divide

less means subtract

is means equal

Thus,  x-3 is not a factor if 2x³ - 5x² - 5x + 11. To make it the factor subtract 5 from the dividend.

A polynomial is factored when it is expressed as the product with two or more factors; this is somewhat the opposite of multiplying.

One of a single-variable polynomial's linear expressions is referred to as a factor. Many variables can affect a polynomial,

Given word problem.

2x cubed minus 5x squared minus 5x plus 11

This can be written as:

2x³ - 5x² - 5x + 11

So,

dividend : 2x³ - 5x² - 5x + 11

divisor =  x-3 , x = 3

Put x = 3 in dividend , if it comes zero, it is the factor.

= 2x³ - 5x² - 5x + 11

= 2(3)³ - 5(3)² - 5(3) + 11

= 5 (remainder)

Thus,  x-3 is not a factor if 2x³ - 5x² - 5x + 11. To make it the factor subtract 5 from the dividend.

Know more about the factors of polynomial

https://brainly.com/question/1554148

#SPJ1

John has the same preference as Kim. John loves to eat mango and the banana. Kim loves to eat mango but not the apple. Jim loves to eat banana but not the mango. John and Kim have the same preference for mango.

John's preference for mango can be inferred from the given information that he loves to eat mango and the banana. However, it does not mention anything about his preference for apples. Kim, on the other hand, loves to eat mango but not the apple. This aligns with John's preference for mango.

Among the given children, John and Kim have the same preference for fruits. They both love to eat mango, while John also enjoys eating bananas.

To know more about preference visit-

brainly.com/question/30289518

#SPJ11

The margin of error is a measure of the precision of the estimate and represents the range within which the true population parameter is likely to lie with a specified level of confidence. The confidence interval is half the width of the margin of error and provides a measure of the certainty of the estimate.

1. Determine the confidence interval: The confidence interval is a range of values that is likely to include the true population parameter with a certain level of confidence. To calculate the confidence interval, we need to know the sample size, sample mean, sample standard deviation, and the desired level of confidence.

2. Calculate the margin of error: The margin of error is a measure of the precision of the estimate. It represents the range of values within which the true population parameter is likely to lie with a specified level of confidence. To calculate the margin of error, we multiply the confidence interval by 2.

3. Interpret the results: The confidence interval and margin of error provide information about the precision and certainty of the estimate. A wider confidence interval indicates lower precision, while a smaller margin of error indicates higher precision. The level of confidence tells us how certain we can be that the true population parameter lies within the given range.

Learn more about margin of error:

https://brainly.com/question/29101642

#SPJ11

Answer:

64.89

Step-by-step explanation:

63 x 0.03 = 1.89

63+1.89=64.89

The angle of elevation of the sun is \(tan^{-1}\)(106/ 135).

The angle of elevation:

The angle is formed by the line of sight and the horizontal plane for an object above the horizontal.

Here we have to find the angle of elevation of the sun.

Data given:

length of the tower = 106 feet

shadow form by the tower = 135 feet

The formula for the angle of elevation = height/base

tanФ = height/base

        = 106/ 135

Ф = \(tan^{-1}\)(106/135)

Therefore the angle of elevation is \(tan^{-1}\)( 106/ 135).

To know more about the angle of elevation refer to the link given below:

https://brainly.com/question/88158

#SPJ4

Therefore, Lisa sent 28 messages, Deandre sent 19 messages, and Juan sent 76 messages.

Let's represent the number of text messages sent by Lisa as L, the number of messages sent by Deandre as D, and the number of messages sent by Juan as J.

According to the given information, we have the following equations:

L + D + J = 123 (the total number of messages sent by all three)

J = 4D (Juan sent 4 times as many messages as Deandre)

D = L - 9 (Deandre sent 9 fewer messages than Lisa)

To solve this system of equations, we can substitute the values from equations 2 and 3 into equation 1:

L + (L - 9) + 4(L - 9) = 123

Simplifying the equation:

L + L - 9 + 4L - 36 = 123

6L - 45 = 123

6L = 123 + 45

6L = 168

L = 168 / 6

L = 28

Using equation 3, we can find D:

D = L - 9

D = 28 - 9

D = 19

Finally, we can find J using equation 2:

J = 4D

J = 4 * 19

J = 76

To know more about messages,

https://brainly.com/question/29108042

#SPJ11

Answer:

$192

Step-by-step explanation:

8 x 12 = 96

2.00 x 96 = 192

Answer:

y² = 7

Step-by-step explanation:

Two of them have the same remaining. The proof using the pigeonhole principle is now complete.

When an integer is divided by 4, there are four potential remainders: 0, 1, 2, or 3. Take any set of five numbers as an example.

If at least three of them have the same remainder when divided by 4, then we are done, since two of them will have the same remainder. This is because if three integers have the same remainder, then we can subtract that remainder from all of them, and the resulting three integers will all be divisible by 4, which means that two of them will have the same remainder when divided by 4.

So suppose that at most two of the integers have the same remainder when divided by 4. Then there are at most two integers with remainder 0, at most two integers with remainder 1, at most two integers with remainder 2, and at most two integers with remainder 3. This means that there are at most 8 integers in total, which is a contradiction since we started with 5 integers. Therefore, there must be at least three integers with the same remainder when divided by 4, and hence there are two with the same remainder. This completes the proof by the pigeonhole principle.

To learn more about integers  visit: https://brainly.com/question/15276410

#SPJ11