A portion of the Quadratic Formula proof is shown. Fill in the missing statement.


Giving brainliest!

Answer:10

Step-by-step explanation:

Nul(A) = Nul(B) , Col(A) = Col(B) in integer matrices.

Describe matrix using an example?

A matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the numbers, which are referred to as its elements.

                                 In addition to many other areas of mathematics, matrices have extensive applications in the fields of engineering, physics, economics, and statistics.

The null space of any matrix A consists of all the vectors

 X  such that Ax = 0

And the column space of a matrix A is the span of its column vectors.

Let  A = \(\left[\begin{array}{ccc}1&0&0 \\0&1&0\\0&0&1\end{array}\right]\)

Therefore, Nul(A) = {(0,0,0,w ) w∈ Z }

 Col(A) = span{ (1,0,0), (0,1,0) , (0,0,1) }

By using definition of Null space of matrix and column space of matrix.

 Let B = \(\left[\begin{array}{ccc}1&1&0\\0&1&0\\0&0&1\end{array}\right]\)        

Nul(A) = {(0,0,0,w ) w∈ Z }

 Col(A) = span{ (1,0,0), (0,1,0) , (0,0,1) }

Hence Nul(A) = Nul(B) , Col(A) = Col(B)

Learn more about matrix

brainly.com/question/28180105

#SPJ1

The area of parallelogram ABCD as shown in the picture is 30.24 mm².

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

To calculate the area of parallelogram ABCD, we use the formula below.

Formula:

Where:

From the question, we were told that the side of the larger parallelogram is 6 times as long as the corresponding sides of the smaller parallelogram.

Therefore,

Substitute these values into equation 2

Hence, the area of parallelogram ABCD is 30.24 mm².

Learn more about area here: https://brainly.com/question/25292087

#SPJ1

There are eight categories in derivative classification.

Therefore, there are eight categories in derivative classification.

Know more about derivative classification here:

https://brainly.com/question/14294203

#SPJ4

Answer:

0.75

Step-by-step explanation:

To answer this question you need to divide 2 1/4 by 3. To make it easier turn 2 1/4 to 2.25 because .25 = 1/4.

Answer:I think it's 7, but im not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 root 32 - 15 root 2

20 root 2 - 15 root 2

5 root 2

please have a look of photo for exact answet

The part in the A section should be 28,32,36 since it is all of the numbers that belong to A that don't belong to B

The part in the B section should be 12 and 18 since it is all of the numbers that belong to B that don't belong to A

The part that belongs to the section in the middle is 24 since it is all of the values that belong to both A and B

The outside area is 12,18,24,28,32,36 because it is all of the values that are even numbers between 11 and 39 that don't belong to A or B

Hope this helps :)

SOLUTION

From the what is given

We have the graph as shown below

We are told that the MAX is

Substituting these required points into the equation, our maximum becomes

We can see that the maximum is 25 at for units of 5, that is x = 5

But we are told in (B) that

Hence the surplus unit is

Hence the answer is 2

Each paintbrush costs the same amount, so x represents the number of gallons of paint that Ben purchased, and 6x represents the cost of that paint plus the cost of six paintbrushes.

The equation y = 6x + 30 models the total cost of Ben's purchases.Each paintbrush costs the same amount.

We need to  determine what the value of x = 0 represents in the situation?

The value of x  represents the number of gallons of paint Ben purchased. When x=0, there is no gallon of paint purchased by Ben, and hence the total cost is just the cost of buying the paintbrushes which is given by 30 dollars.

Similarly,When x = 1, it represents the number of gallons of paint purchased. Hence the total cost of purchasing 1 gallon of paint and some paintbrushes is given byy = 6(1) + 30 = $36

This means that the total cost of purchasing 1 gallon of paint and some paintbrushes is $36.

Each paintbrush costs the same amount, so x represents the number of gallons of paint that Ben purchased, and 6x represents the cost of that paint plus the cost of six paintbrushes.

To know more about  gallons  please visit :

https://brainly.com/question/26007201

#SPJ11

Answer:

X ≥ 3

Step-by-step explanation:

Let the number of grapes you'll buy be X, you need to buy at leaF 3 pounds so:

X ≥ 3

Answered by Gauthmath

Answer:

4

Step-by-step explanation:

Simplify x and y by rationalising the denominator of both

To rationalise the denominator multiply the numerator/ denominator by the conjugate of the denominator.

The conjugate of 2 + \(\sqrt{3}\) is 2 - \(\sqrt{3}\)

The conjugate of 2 - \(\sqrt{3}\) is 2 + \(\sqrt{3}\)

x = \(\frac{1(2-\sqrt{3)} }{(2+\sqrt{3})(2-\sqrt{3}) }\) = \(\frac{2-\sqrt{3} }{4-3}\) = 2 - \(\sqrt{3}\)

y = \(\frac{1(2+\sqrt{3}) }{(2-\sqrt{3})(2+\sqrt{3}) }\) = \(\frac{2+\sqrt{3} }{4-3}\) = 2 + \(\sqrt{3}\)

Thus

x + y = 2 - \(\sqrt{3}\) + 2 + \(\sqrt{3}\) = 4

Answer: Wellll

Step-by-step explanation:

Here, the number that is the x variable is negative. On the other problem, it is not. This is because a negative times a negative = a positive! Good luck!

Answer: 114

Step-by-step explanation:

Plug in the numbers. 5*5+2*5*8/2*2+3*3=25+80+9=114

Answer:

Step-by-step explanation:

The table that shows a positive correlation is the first one:

y | 5 1 2 3

H | 1 2 2 4

In this table, we can see that as the values of y increase, the values of H also increase. Therefore, there is a positive correlation between y and H.

In the second table, we can also see a positive trend in the values of y and X. However, the trend is not consistent, as there is a jump from y = 18 to y = 31, and from y = 31 to y = 37. This suggests that there may be other factors influencing the relationship between y and X.

In the third table, we can see a negative correlation between y and LO, as the values of y decrease from 24 to 6, the values of LO also decrease.

Therefore, the first table shows a clear and consistent positive correlation between y and H.

know more about positive correlation: brainly.com/question/31588111

#SPJ11

Answer:

the answer is graph B

Step-by-step explanation:

person up top is wrong.

T is the linear transformation described by T(w,z) in L(C2). This indicates that the linear transformation T changes two-dimensional vectors of the type (w,z) to (-z,w).

To get T's eigenvalues, solve the equation T(v) = v, where is the eigenvalue and v is the eigenvector. By solving this equation, we discover that T's eigenvalues are λ1 = -1 and λ2 = 1.

For each eigenvalue, the associated eigenspaces are the subspaces of C2 that are spanned by the eigenvectors of T. The eigenspace is the subspace covered by the eigenvector λ1= -1 is (1,0). The eigenspace is the subspace spanned by the eigenvector λ2= 1 is (0,1).

As a result, the subspaces covered by (1,0) and (1,1) are the generalized eigenspaces corresponding to the different eigenvalues of T. (0,1).

Learn more about eigenvalues here:

https://brainly.com/question/15423383

#SPJ4

Answer:

Option D is correct.

A voluntary response error was made in this design. This type of sampling only targets those who are passionate about a specific act and call in to vote; it is not a good representation of the population.

Step-by-step explanation:

When humans are given the choice whether to participate in a survey like in this question, most often than not, the survey becomes biased.

This is because only the people or set of people who feel strongly the most about the subject matter of the poll will participate in the survey. This favours the group that disagrees as this group, if given the choice to express their opinion, will most likely be the set of people that will readily express their discontent.

Discontent is more visibly and strongly expressed in humans.

In order to remove this bias, people should have been chosen at random and their responses recorded.

Hope this Helps!!!

Step 1: Let the remaining number of words be X.

The inequality equation becomes:

Hence, the number of words Petra has to write to have more than 1000 words should be greater than 316 words.

Answer:

d

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Because the world less than would be subtract.

Hope it was correct I'm so sorry if I wasn't.

Glad I could help tho!

Answer:

Step-by-step explanation:

Given that:

Distance to friends's house = 1.8 miles

Time taken = 12 minutes

Since the rate is constant :

The rate Is related to distance and time :

The two variable equation which represents the equation is :

Speed = Distance / time

Answer:

20

Step-by-step explanation:

When two numbers vary inversely, they always multiply to the same product, in this case, it is 80, because it is 8 x 10(product of two known values of p and q). This means, for q = 4, we can write:

p * 4 = 80

This means that p is equal to 20.

The value of p is 20 when q=4

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

When two numbers vary inversely, then the will always multiply to the same product,

Here it is 80, because it is 8 x 10

Then product of two known values of p and q).

This means, for q = 4, we can write:

p x 4 = 80

This means that p is 20.

Learn more about directly inversely proportional relationship variable here:

https://brainly.com/question/13082482

#SPJ2

The simplified expression for (f(x+h)-f(x))/h, where h ≠ 0, is 7.The simplified expression for (f(x+h)-f(x))/h, where h ≠ 0, is 7. This means that regardless of the value of h, the expression evaluates to a constant, which is 7.

To find (f(x+h)-f(x))/h, we substitute the given function f(x) = 7x - 4 into the expression.

f(x+h) = 7(x+h) - 4 = 7x + 7h - 4

Now, we can substitute the values into the expression:

(f(x+h)-f(x))/h = (7x + 7h - 4 - (7x - 4))/h

Simplifying further, we get:

(7x + 7h - 4 - 7x + 4)/h = (7h)/h

Canceling out h, we obtain:

7

The simplified expression for (f(x+h)-f(x))/h, where h ≠ 0, is 7. This means that regardless of the value of h, the expression evaluates to a constant, which is 7.

To know more about expression follow the link:

https://brainly.com/question/29174899

#SPJ11

The correct statement is :David started at 0 instead of 2

A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.

Given here: In a number line the interval (-5,5) is marked and 2 to 5 is 3

The right steps are

Add 3 to 2 to obtain the required number as there are 3 spaces between 2 and 5

Thus 2+3=5 which is the required answer

but David addes 2-3=-1 which is incorrect.

Hence, David started at 0 instead of 2

Learn more about the number line here:

https://brainly.com/question/16901376

#SPJ1

Answer:

Data A - 5

Data B - 5

Data C - 5

Data D - 6

Step-by-step explanation:

Data A,

Graph for the data shows that there is a distinct value of y (output value) for every input value of x.

Therefore, Data A is a function.

Data B,

Each ordered pair shows exactly one output value for each input value.

Therefore, Data B represents a function.

Data C,

For each input value there is exactly one output value.

Therefore, Data C represents a function.

Data D,

From the given table,

For x = -1 there are two output values y = 27, 39

For x = -2 output values are y = 45, 21

Since for these input values there are two output values, Data D will not be a function.

The group of animals most prone to retain food as fat by overeating and decreasing their physical activity in response to environmental cues includes bears, penguins, and walruses.

Environmental stimuli were outlined as ambient, architectural, or interior design elements that exist solely to serve as a stimulus and have the potential to affect patients by way of psychological mechanisms.

Studies that employed environmental triggers as therapies were disregarded.

The treatments in the studies that were included dealt with a variety of stimuli, ambient aspects (such as exposure to sunshine, sound, or odor), architectural features, or interior design features (such as redecorating or renovating wards, treatment areas, or waiting rooms).

Patients from a variety of in- and out-patient settings participated, and numerous varied clinical and psychological outcomes were assessed.

If non-environmental changes were confounded with environmental interventions, studies were excluded.

Hence, The group of animals most prone to retain food as fat by overeating and decreasing their physical activity in response to environmental cues includes bears, penguins, and walruses.

learn more about environmental stimuli click here:

https://brainly.com/question/25915221

#SPJ4

Therefore, the statement is not necessarily true, and the value of ½f(a, b) depends on the specific function f and the nature of the local minimum at (a, b).

If f has a local minimum at (a, b) and f is differentiable at (a, b), then it is true that the partial derivatives of f at (a, b) must be zero (i.e., fx(a, b) = 0 and fy(a, b) = 0). This is because at a local minimum, the function is not increasing in any direction, so the directional derivatives in all directions must be zero, which implies that the partial derivatives are also zero.

However, this does not necessarily mean that ½f(a, b) = 0. For example, consider the function f(x, y) = (x - 1)² + (y - 1)². This function has a local minimum at (1, 1), and the partial derivatives are zero at that point. However, ½f(1, 1) = ½(0) = 0, so the statement is true in this case, but this is not necessarily true in general.

On the other hand, consider the function g(x, y) = x² + y². This function also has a local minimum at (0, 0), and the partial derivatives are zero at that point. However, ½g(0, 0) = ½(0) = 0, so the statement would suggest that g(0, 0) is a local minimum, which is not true (in fact, it is a global minimum).

To know more about function,

https://brainly.com/question/28193995

#SPJ11

Answer:

45,54,63

Step-by-step explanation:

The multiples of 9 are

9,19,27,36,45,54,63,72,81

The three multiples are 36 are

45,54,63

Answer:

9, 36, 45, 54, 63

Step-by-step explanation: