Consider the matrices.

What matrix results from B + A?

Enter your answer by filling in the boxes.

Consider The Matrices.What Matrix Results From B + A?Enter Your Answer By Filling In The Boxes.
Consider The Matrices.What Matrix Results From B + A?Enter Your Answer By Filling In The Boxes.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\displaystyle\\A=\left[\begin{array}{ccc}-1&6\\-2&2\\4&9\\-5&-11\end{array}\right] \ \ \ \ \ \ \ \ \ B=\left[\begin{array}{ccc}-4&-1\\-8&8\\2&-7\\-6&5\end{array}\right] \\\\A+B=B+A\ (commutativity)\\\\\Rightarrow B+A=\left[\begin{array}{ccc}-4+(-1)&-1+6\\-8+(-2)&8+2\\2+4&-7+9\\-6+(-5)&5+(-11)\end{array}\right] \\\\\\ \Rightarrow B+A=\left[\begin{array}{ccc}-5&5\\-10&10\\6&2\\-11&-6\end{array}\right][/tex]


Related Questions

The White family purchases a new pool table on a no-interest-for-one-year plan. The cost is $2,665. There is a d dollars down payment. If they make a minimum monthly payment of m dollars until the last month, express their last month’s payment algebraically.

Answers

The last month's payment for this family can be algebraically expressed this way: 2665 - d - 11m.

How can we algebraically represent the last month's payment?

We can obtain an algebraic statement for the last month's payment when we assign alphabetic values to the variables provided.

First, the price is the primary figure that is = 2665

The down payment is represented with the alphabet d dollars.

The monthly payment is denoted by m dollars.

Since we are given a duration of one year or twelve months, we will have to subtract one month from 12 to give us, 11 months.

Given these substitutions, the algebraic statement can be represented thus:

2665 - d - 11m.

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What is the effect on the graph of f(x) = x2 when it is transformed toh(x) = 1/4x2 - 11?A. The graph of f(x) is horizontally stretched by a factor of 4 andshifted 11 units to the right.B. The graph of f(x) is vertically compressed by a factor of 4 andshifted 11 units down.C. The graph of f(x) is horizontally compressed by a factor of 4 andshifted 11 units down.D. The graph of f(x) is vertically compressed by a factor of 4 andshifted 11 units to the right.SUBMIT

Answers

As per transformation of graph, h(x) = 1/4x² - 11 represents that the graph of f(x) is horizontally compressed by a factor of 4 and shifted down by 11 units.

To know the effect on the graph

Given, the graph is f(x) = x².

We know that, at the time of horizontally compressing a graph we need to multiply it by a factor of (1/a).

Again, at the time of shifting a graph up we need to add a positive number of (b).

Therefore, a = 4 and b = - 11.

Now, if we horizontally compress f(x) it by a factor of (1/4) then it be (1/4)x².

Again,  if we shifted down f(x) by 11 units, then it be (1/4)x² - 11.

Therefore, h(x) = (1/4)x² - 11 represents that the graph of f(x) is horizontally compressed by a factor of 4 and shifted 11 units down.

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The fox population in a certain region has a relative growth rate of 4 percent per year. It is estimated that the population in the year 2000 was 20,200 foxes. a) Find an equation that models the population t years after 2000 (t = 0 for 2000). A = b) Use the equation from part (a) to estimate the fox population in the year 2009. Round to the nearest fox. foxes​

Answers

Answer:

where is the question? plssss so im sorrry but where is the question i don't see a question?

Pat and Alex have a combined total of £63.

The ratio of Pat’s money to Alex’s money is 5 : 2

They each spend an equal amount on sweets.

The ratio of Pat’s money to Alex’s money is now 3 : 1
How much did Pat spend on sweets?

Answers

Answer:

£4.50

Step-by-step explanation:

ratio of Pat : Alex = 5 : 2 = 5x : 2x ( where x is a multiplier )

then

5x + 2x = 63

7x = 63 ( divide both sides by 7 )

x = £ 9

Pat has 5 × £9 = £45

Alex has 2 × £9 = £18

let the amount they spend on sweets be x , then ratio of money is 3 : 1

so 45 - x : 18 - x = 3 : 1

express the ratio in fractional form and equate proportionally

[tex]\frac{45-x}{18-x}[/tex] = [tex]\frac{3}{1}[/tex] ( cross- multiply )

45 - x = 3(18 - x)

45 - x = 54 - 3x ( add 3x to both sides )

45 + 2x = 54 ( subtract 45 from both sides )

2x = 9 ( divide both sides by 2 )

x = 4.5

Pat spent £4.50 on sweets

A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?

Answers

(d) f(1) = 4 f(n) = 4 + d(n-1) , n>0 is the arithmetic formula to find the number of layers in the project

In the above question it is given that

A project is being created by a group of students by arranging layers.

The first layer is having 4 layers and as we move to the next layers, it is getting 2 times of the number of layers in the first layer.

i,.e f(1) = 4

Number of layers in the second layer = 8 layers

f(2) = 4.2 = 8

Now, we need to find the general arithmetic formula to determine the subsequent n number of layers in the project

As the subsequent layers are getting n times of the first layer, so we'll also find the similar arithmetic formula where addition to the first layer with n times of it is happening

So, after checking all the given options we find, (d) as the appropriate option

f(1) = 4

f(n) = 4 + d(n-1) , n>0

We'll find the number of layers in the 3 layers

Here, n = 3

Putting in the formula, we'll find.

f(3) = 4 + d(3-1)

f(3) = 4 + d(2)

where d(2) = 8 (given)

so, f(3) = 4 + 8 = 12

Hence, f(1) = 4 f(n) = 4 + d(n-1) , n>0 is the arithmetic formula to find the number of layers in the project

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The I-70 grade west of Denver has a grade of 5%. The horizontal length of the roadway (run)
is 5.5 miles. What is the change in elevation from the top of the grade to the bottom of the
grade in feet?

Answers

The change in the elevation is 0.275 miles.

What is an elevation?

An elevation simply means the her that above the sea level. It's used to describe a geographical location.

Thethe change in elevation from the top of the grade to the bottom of the grade in feet will be:

= Percentage of change × Length given

= 5% × 5.5 miles

= 0.05 × 5.5 miles

= 0.275 miles.

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There are 100 students in Year 10.
Each student studies exactly one of French, German, and Spanish.
X girls study French and there are 3X girls in total.
2Y boys study German.
There are 35 students studying Spanish of which Y are boys.

Which of the following is an expression for the total number of students studying German?

Answers

The expression which correctly represents the number of students studying German as required is; 3y + 2x -35.

Which expression correctly represents the number of students studying German?

It follows from the task content that the number of students studying German be determined from the given information.

Therefore since the total number of students is; 100.

35 students study Spanish of which y are boys, therefore, the number of girls studying Spanish is; (35 - y).

Also, since there are 3x girls in total and x of which study French, the remaining 2x study Spanish and German.

Hence, the number of girls who study German is; 2x - (35 - y).

Therefore, the total number of students (boys and girls) who study German is; 2y + 2x - (35 - y).

= 3y + 2x -35.

Ultimately, the total number of students who study German are; 3y + 2x -35.

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A line through (-1,b) and (c,8) is parallel to a line through (-6,3) and (0,12). Find values of b and c that make the above statement true.

Answers

Answer:[tex]b=4, c=-7[/tex]

Step-by-step explanation:

Parallel lines have the same slope.

The slopes of the lines are [tex]\frac{8-b}{c+1}[/tex] and [tex]-\frac{3}{2}[/tex].

Therefore, [tex]\frac{8+b}{c+1}=-\frac{3}{2}[/tex], and one possible pair is [tex]b=4, c=-7[/tex].

The picture shows a triangular island:Which expression shows the value of q?s over sin 55 degreess over cos 55 degreesr sin 55°r cos 55°q?

Answers

A right triangle is a triangle with a right angle. The opposite side to the right angle is called the hypotenuse and the other sides are the legs. Given an angle in a right triangle, the ratio between the leg adjacent to the angle and the hypotenuse is equal to the cosine of the angle.

Using this relation in our problem, we have the following:

[tex]\cos(55^o)=\frac{s}{q}[/tex]

Solving this expression for q, we have:

[tex]\begin{gathered} \cos(55^o)=\frac{s}{q} \\ q\cos(55^o)=s \\ q=\frac{s}{\cos(55^o)} \end{gathered}[/tex]

And this is our answer.

[tex]\frac{s}{\cos(55^o)}[/tex]

can someone help me really quick

Answers

Answer:

21

Step-by-step explanation:

63 divided by 3 is 21

210 divided by 10 is 21

which polynomial function f(x) has a leading coefficient of 1, roots -4, 2, and 9 with multiplicity 1, and root -5 with multiplicity 3?

Answers

The expression for f(x) is: [tex]f(x)=(x+4) , (x-2) , (x-9) ,(x+5),(x+5),(x+5)[/tex]

We know that for any polynomial equation with roots:

[tex]a_{1}, a_{2}, a_{3} ,...[/tex]

with multiplicity:

[tex]m_{1}, m_{2}...[/tex]

the equation for the polynomial is given by:

[tex]f(x)=(x-a_{1}) ^{m_{1} }, (x-a_{2}) ^{m_{2} }...[/tex]

If the leading coefficient is negative we may take '-' sign in the starting of the expression.

Here we are given that, f(x) has a leading coefficient of 1, roots -4, 2, and 9 with multiplicity  1, and root -5 with multiplicity 3

Hence, f(x) is given by:

= [tex]f(x)=(x-(-4)) ^{1 }, (x-2) ^{1}, (x-9) ^{1},(x-(-5)) ^{3}[/tex]

= [tex]f(x)=(x+4) , (x-2) , (x-9) ,(x+5),(x+5),(x+5)[/tex]

Hence, the expression for f(x) is: [tex]f(x)=(x+4) , (x-2) , (x-9) ,(x+5),(x+5),(x+5)[/tex]

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g(y)= y - 15/y
h(y) = − 3y

Evaluate.
h(g(5)) =

Answers

-3(5-15/5)

Answer: -6

Express in decimal notation. 5.51×10^-4

Answers

Step-by-step explanation:

Answer:

= 5.51 × 10⁻⁴

scientific notation

= 5.51e-4

scientific e notation

= 551 × 10⁻⁶

engineering notation

millionth; prefix micro- (u)

= 5.51 × 10⁻⁴

standard form

-4

Order of Magnitude

for scientific and standard forms

= 0.000551

(real number)

= five hundred fifty-one millionths

word form

The Earth is approximately 8.0 x 103 miles in diameter, from pole to pole.What number is the distance equivalent to? A- 800 thousand milesB- 80 thousand milesC- 8 thousand milesD- .8 thousand miles

Answers

Answer

Option C is correct.

8.0 × 10³ miles = 8 thousand miles.

Explanation

The number given in scientific notation is

8.0 × 10³ miles

= 8.0 × 1000 miles

= 8000 miles

= 8 thousand miles.

Hope this Helps!!!

you are traveling 150 miles to your cousins house. You travel at an average rate of 50 miles per hour. How long will it take to get to cousin house?

Answers

Answer

It will take 3 hours to get to your cousin's house.

Explanation

Firstky, note that Speed is given as

[tex]\text{Speed =}\frac{Dis\tan ce}{Time}[/tex]

For this question, we are told that the distance to your cousin's house is 150 miles.

The speed is an average rate of 50 miles per hour.

We are then asked to calculate how long it will take to get to your cousin's house.

Speed = 50 miles/hour

Distance = 150 miles

Time = ?

[tex]\begin{gathered} \text{Speed = }\frac{Dis\tan ce}{Time} \\ 50=\frac{150}{Time} \\ \text{Cross multiply} \\ 50\times Time=150 \\ \text{Divide both sides by 50} \\ \frac{50\times Time}{50}=\frac{150}{50} \\ \text{Time = 3 hours} \end{gathered}[/tex]

Hope this Helps!!!

What's the distance between -9 and 23

Answers

the distance is |23-(-9)|=32

Answer:

32 units

Step-by-step explanation:

calculate the distance using the absolute value of the difference.

| - 9 - 23 | = | - 32 | = 32

or

| 23 - (- 9) | = | 23 + 9 | = | 32 | = 32

PLEASE HELP ME SOLVE THESE TWO ANSWERS!!

Answers

Answer:

:]

Step-by-step explanation:

x, x+2

Equation: 2x+4=2x+4

All real numbers

b) it is an identity, it has infinite solutions.

Select the algebraic definition for the piecewise function graph.
Y=2x+4
y=4
Y=-2x+8

Answers

The answers (C) and (D) are accurate:.

F(x) = 4; 0 = x 2 and F(x) = -2x + 9; 2 = x 4 respectively.

How a piecewise function is defined?

A piecewise function's graph has a large number of curve elements. It means that, depending on the value of the input, it has a wide range of definitions. To put it another way, a piecewise function reacts differently to the input.

It follows that:

The image displays the piecewise function:

Observing the piecewise function's graph

Every value in the domain is associated to exactly one value in the range according to the function, which may be thought of as a unique kind of connection with a predefined domain and range.

F(x) = 4; 0< = x < 2

F(x) = -2x + 9; 2 < = x < 4

Thus, F(x) = 4; 0< = x < 2 and F(x) = -2x + 9; 2 < = x < 4 the option (C) and (D) are correct.

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The correct question is:

" 2) Select the algebraic definition for the piecewise function graph.

F(x){_____ 0< = x < 2

{_____ 2 < = x < 4

A. 2x-8

B. 2

C. -2x+8

D. 4

E. 2x-4"

PLS HELP
Lisa needs at least 870 gigabytes of storage to take pictures and videos on her upcoming vacation. She checks and finds that she has 200 gigabytes available on her phone. She plans on buying additional memory cards to get the rest of the storage she needs. Lisa is going to use memory cards that each hold 256 gigabytes.


Let C represent the number of memory cards that Lisa buys.


Which inequality describes this scenario?

Answers

The inequality that describes this scenario would be; A. 200 + 256C ≥ 870.

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions. If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

Given that lisa checks and finds that she has 200 gigabytes available on her phone. It is going to use memory cards that each hold 256 gigabytes.

Let consider that C represent the number of memory cards that Lisa buys.

Then the inequality ;

200 + 256C ≥ 870

Hence, The inequality that describes this scenario would be; A. 200 + 256C ≥ 870.

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Use the information given to enter an equation in standard form.
Slope is 2, and (3, 5) is on the line.

Answers

Standard form of equation is 3x + 5y = 2.

Define equation.

Ax+ By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). When attempting to solve systems involving two linear equations, this form is also quite helpful. A linear equation has the conventional form Ax+ By=C. A slope-intercept form equation (y=mx+ b) must have the x and y on the same side of the equal sign and the constant on the opposite side in order to be converted to standard form. To relocate terms, use inverse operations.

Slope = 2

Points = (3, 5 )

Standard form of equation,

Ax + By = C

Equating,

3x + 5y = 2

Standard form of equation is 3x + 5y = 2.

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Please help me because I got the answer wrong. ​

Answers

[tex]\cfrac{1}{3}x^2~~ = ~~\cfrac{4}{27}\implies \cfrac{x^2}{3}~~ = ~~\cfrac{4}{27}\implies x^2=\cfrac{(3)4}{27}\implies x^2=\cfrac{12}{27} \implies x=\pm\sqrt{\cfrac{12}{27}} \\\\\\ x=\pm\cfrac{\sqrt{12}}{\sqrt{27}} \implies x=\pm\cfrac{\sqrt{2^2\cdot 3}}{\sqrt{3^2\cdot 3}}\implies x=\pm\cfrac{2\sqrt{3}}{3\sqrt{3}}\implies x=\pm\cfrac{2}{3}[/tex]

Geometry Question on Foundations, Need Help.

Answers

Answer:

Plane RAT

Step-by-step explanation:

:]

5.
What is the LCD of 1, 3
4x x(x-4)
A. (x-4)(x+2)
B. 4x(x²+2x-8)
and
5?
x(x+2)
C. 4x(x-4)(x+2)
D.
x(x-4)(x+2)
4

Answers

The correct answer is
B

Find a translation that has the same effect as the composition of translations

Answers

Translation that has the same effect as the composition of translations is

(x, y)→ ( x+2 , y+7 )

Composition of two reflections can be expressed as translation. Composition of reflections over parallel lines always has the same effect as a translation. Combination of two or more transformations is called composition of translation.

In this case :

As given in the question , 9 units are added from the x-coordinate in the first transformation and then 7 units are subtracted. So, the sum is:

+9-7 = +2

Observe that, in the first transformation, 1 units are added to the y-coordinate and then 6 units are added. The sum is:

+6+1 = +7

Then, the single Translation that has the same effect as the given Composition of translation is calculated to be:

(x, y)→ ( x+2 , y+7 )

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you start at (1,7). you move left 1 unit and down 6 unit

Answers

The required point on the cartesian plane is (0,1).

What is a cartesian plane?

Definition of a Cartesian Plane. The intersection of two perpendicular lines results in the formation of the cartesian plane, a two-dimensional coordinate plane. The X-axis is the horizontal line, and the Y-axis is the vertical line.

In a graph (1,7) lies in the first quadrant

And if we go 1 unit left then that means that we will be on the y axis

Then if we go down 6 units we will reach at point 1 unit away from the origin on the y axis . This particular point can be represented as (0,1).

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Help guysssssssssssssssssssssssssssssssssssssssssssss

Answers

Answer:

i think the answer is 2<x<5

Step-by-step explanation:

Drag graphs to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, or the line y=x.

Answers

Answer:

3rd Graph = 1st box

2nd Graph = 2nd Box

4th Graph = 3rd Box

What is the slope of the line that passes through the points (-10, 9)
and (-10, 18)? Write your answer in simplest form.

Answers

Hello!

What is the equation for the slope:

 [tex]\hookrightarrow \text{Slope}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(x₁,y₁): a random point on the line                 ⇒ (-10,9)         (x₂,y₂): another random point on the line    ⇒ (-10,18)

    [tex]Slope =\dfrac{18-9}{-10-(-10)} =\dfrac{9}{0} \\[/tex]

Thus the slope is undefined:

Hope that helps!

Complete all these questions and provide an explanation with complete sentences for full credit.
1) Which muraber is rational? Explain
+
√13

Answers

Root 13 is a non-recurring, infinite decimal. Since 13 is not a perfect square, its square root cannot be determined precisely. 13 cannot be expressed as a fraction, which is the definition of a rational number, because it cannot be expressed as a ratio of integers.

An illustration of a rational number?

If p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Rational number examples include 1/3, 2/4, 1/5, 9/3, and so on.

Irrational number examples include: Any real number that cannot be expressed as a fraction is considered to be illogical.

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Paul receive about 13 advertisement via email each day. about how many advertisement emails will he receive in 30 days?

Answers

Answer:

390

Step-by-step explanation:

Paul receive about 13 advertisement via email each day. about how many advertisement emails will he receive in 30 days?

13 × 30 = 390

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