A matrix derived from a system of linear equations (each written in standard form with the constant term on the right) is the ---Select--- matrix of the system.

Answers

Answer 1

Answer:

augmented

Step-by-step explanation:

In the field of linear algebra, the augmented matrix is defined as the matrix that is [tex]\text{obtained by appending}[/tex] the given columns of any two given matrices, that is usually for the [tex]\text{purpose of performing the same elementary row operations on each of the given matrices. }[/tex]

Here, each row forms an equation having a constant and the column have the  coefficients for the single variable.

Thus an augmented matrix is obtained from a system of linear equation in matrix.


Related Questions

Find the slope (rate of change) of each representation. Please explain how you got it.

Answers

Answer:

m = -3/2

Step-by-step explanation:

To find the slope of the representation, use the slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

I'll pick (-4, 9) and (-2, 6) in this instance.

[tex]m=\frac{9-6}{-4-(-2)}\\\\m=-\frac{3}{2}[/tex]

Therefore, the slope of the representation is -3/2.

Answer:

-3/2

Step-by-step explanation:

To find the slope, we can use the formula

m = ( y2-y1)/(x2-x1)

    = ( -6 -9)/(6 - -4)

    = (-6-9)/(6+4)

     -15/10

  -3/2

Please answer:
Joanna bakes a cake in the shape of a
cylinder. The cake is 10 inches in
diameter and 4.5 inches tall. She
wants to put frosting on the entire
cake that is not resting on the tray.
How many square inches of frosting
will she need?

Answers

The cake has a cylindrical format, and the outside of the cake will be frosted, which means that the total surface area has to be found, and doing this, we find that she will need 298.5 square inches of frosting.

Surface area of a cylinder:  

The surface area of a cylinder of radius r and height h is given by:

[tex]S = 2\pi r^2 + 2\pi rh[/tex]

The cake is 10 inches in  diameter and 4.5 inches tall.

Radius is half the diameter, so [tex]r = \frac{10}{2} = 5[/tex].

The height is [tex]h = 4.5[/tex].

How many square inches of frosting  will she need?

This is the surface area, so:

[tex]S = 2\pi(5)^2 + 2\pi(5)(4.5) = 50\pi + 45\pi = 95\pi = 298.5[/tex]

She will need 298.5 square inches of frosting.

A similar problem can be found at https://brainly.com/question/24332238

Answer:

Step-by-step explanation:

First of all, we need the formula of a cylinder which is: 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]

BUT also remember we are solving for one base since we do not count the bottom of the tray. That formula would look like this: 2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex] since we are using 1 base instead of 2.

Now input the missing values into the formula and solve:

2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex]

2[tex]\pi[/tex](5)(4.5) + [tex]\pi[/tex][tex](5^{2})[/tex]

45[tex]\pi[/tex] + 25[tex]\pi[/tex] = 70[tex]\pi[/tex]

Our Answer is 70[tex]\pi[/tex], or 219.91 [tex]in^{2}[/tex]

what is the equation of the line that is parallel to the given line and passes through the point (-3,2)? no links.

Answers

Answer:

D) 4x +3y = -6

Step-by-step explanation:

paralell lines so m1 and m2 are equal

m = (3 +1 )/ (0 - 3 )

m = -4/ 3

y -2 = -4/3 (x +3)

y =-4x/3 -2

3y = -4x -6

4x +3y = -6

can someone help me figure out how much my final exam is weighted?

in the grade book there are:
6 assignments for 10 points each
52 assignments for 20 points each (it’s not a typo i promise there was actually 52)
5 assignments for 30 points each
5 assignments for 40 points each
and 1 assignment for 60 points (aka the final exam)

my grade is an average of all of these different assignments combined. How much is my exam weighted- can you even calculate this? (i just want to know so i can see what score i need to get to pass with an a)

Answers

Answer:

About 4%

Step-by-step explanation:

6x10=60

52x20=1040

5x30=150

5x40=200

1x60=60

Total Points available:1510

Final Exam is 60 points

60/1510=0.0397

230% of 99 hours is what?

Answers

Answer:

227.7 hours

Step-by-step explanation:

of means multiply and is means equals

230% * 99 = what

Change the percent to decimal form

2.30 * 99 = what

227.7= what

[tex]\\ \sf\longmapsto 230\%\:of\:99[/tex]

[tex]\\ \sf\longmapsto \dfrac{230}{100}\times 99[/tex]

[tex]\\ \sf\longmapsto \dfrac{230(99)}{100}[/tex]

[tex]\\ \sf\longmapsto \dfrac{22777}{100}[/tex]

[tex]\\ \sf\longmapsto 227.7hours[/tex]

please help me answer this math question, it is really important​

Answers

Answer:

3 three point baskets

9 two point baskets

4 one point baskets

Step-by-step explanation:

Since you cannot have a 1/3 or 2/3 of a three point basket, finding multiples of threes for the initial two point baskets is the easiest way to start.

The player made 3 three point baskets
9 two point baskets
And 4 one point baskets

the area of a parallelogram shape land is on the square and length of its two adjacent sides are 25 m and 17 M find its diagonal​

Answers

Step-by-step explanation:

Draw diagonal AC

The triangle ABC has sides 17 and 25

Say AB is 17, BC is 25

Draw altitude on side BC from A , say h

h = 17 sin B

Area = 25*17 sin B = 408

sin B = 24/25

In ∆ ABC

Cos B = +- 7/25

= 625 + 289 — b^2 / 2*25*17

b^2 = 914 — 14*17 = 676

b = 26

h = 17*24/25 = 408/25 = 16.32

Draw the second diagonal BD

In ∆ BCD, draw altitude from D, say DE =h

BD^2 = h^2 + {(25 + sqrt (289 -h^2) }^2

BD^2 = 16.32^2 + (25 + 4.76)^2

= 885.6576 + 266.3424

BD = √ 1152 = 33.94 m

James is studying the decline of a certain bird species. James’ observations are as follows: Year 1900 1950 1990 2005 Population (in thousands) 6012 72 2 .5 What is the best fit exponential decay equation for this decline? 5=6012(1-0.06)105 At what year did the population first drop below 1,000,000? If this trend continues, what will be the population in 2020?

Answers

6012435373 is the answer

please just (c)fog-¹​

Answers

f(x) = 1/(1 - x)

g(x) = (x - 1)/x

The inverse functions f ⁻¹(x) and g ⁻¹(x), if they exist, are such that

f( f ⁻¹(x) ) = x

g( g ⁻¹(x) ) = x

So we have

f( f ⁻¹(x) ) = 1/(1 - f ⁻¹(x) ) = x

Solve for f ⁻¹(x) :

1 = (1 - f ⁻¹(x) ) x

1 - f ⁻¹(x) = 1/x

f ⁻¹(x) = 1 - 1/x

f ⁻¹(x) = (x - 1)/x

and so f ⁻¹(x) = g(x).

Similarly, you can solve for g ⁻¹(x) :

g( g ⁻¹(x) ) = (g ⁻¹(x) - 1) / g ⁻¹(x) = x

1 - 1/g ⁻¹(x) = x

1/g ⁻¹(x) = 1 - x

g ⁻¹(x) = 1/(1 - x)

So we know f(x) and g(x) are inverses of one another,

f ⁻¹(x) = g(x)

g ⁻¹(x) = f(x)

Then

(a) (f o g)(x) = x

(b) (g o f ⁻¹)(x) = g(g(x)) = (g(x) - 1)/g(x) = 1 - 1/g(x) = 1 - x/(x - 1) = 1/(1 - x)

(c) (f o g ⁻¹)(x) = f(f(x)) = 1/(1 - f(x) ) = 1/(1 - 1/(1 - x)) = 1/(x/(x - 1)) = (x - 1)/x

hi! can i get some help with this question! :)

Answers

Hi there!

[tex]\large\boxed{log_b3b = 1.8397}[/tex]

Keep in mind the following log property:

logₓab = logₓa + logₓb

Thus:

[tex]log_{b}3b = log_{b}3 + log_{b}b\\\\[/tex]

We know the value of log_b3, and a log with the same values for the base equals 1. Thus:

[tex]log_b3b = 0.8397 + 1 = 1.8397[/tex]

Full working out for this question please.

On Monday Farmer Tom collected 6 times as many eggs as Farmer Jack. On Tuesday, Farmer Tom sold 425 eggs. Farmer Jack then had three times as many eggs as Farmer Tom. How many eggs did farmer Jack have?

a.150
b.175
c.125
d.25
e.75

Answers

Answer:

75

Step-by-step explanation:

Let farmar jack collected x eggs, then farmar Tom collect 6x eggs

farmar Tom sold 425 eggs, so he left with 6x-425 eggs, now farmar jack has 3 times of what farmar Tom has, so

3(6x-425)=x

or, x=75

so farmar jack had 75 eggs

Answered by GAUTHMATH

Evaluate f-g+(-2) where f = -3.005 and g = 4.7

Answers

Answer:

-9.705

Step-by-step explanation:

f-g+(-2)

Let  f = -3.005 and g = 4.7

-3.005 -4.7 -2

-9.705

can someone please help me? this is confusing

Answers

Answer:

S=(-2, -9)

T=(-8, -9)

U=(-9, -5)

V=(-6, -5)

Step-by-step explanation:

rotating counter clockwise 90 degrees has a simple formula: (-y, x) simply take your ordered pair and rearrange it to match this formula.

ex. (3, 4) would become (-4, 3)

(-y, x) the negative symbol in front of the y means to switch the sign from either positive or negative to its opposite. since there is no symbol in front of the x you keep that numbers sign the same.

Make x the subject of the formula

I need help on this one too
E=7x+8f

Thank you so much if you answer!​

Answers

Answer:

Step-by-step explanation:

To make x the subject, isolate x

7x + 8f = E

Subtract 8f from both sides

7x = E - 8f

Divide both sides by 7

[tex]x =\frac{E-8f}{7}[/tex]

Answer:

x = [tex]\frac{E-8f}{7}[/tex]

Step-by-step explanation:

Given

E = 7x + 8f ( subtract 8f from both sides )

E - 8f = 7x ( isolate x by dividing both sides by 7 )

[tex]\frac{E-8f}{7}[/tex] = x

11. PLEASE HELP ME
A ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after t seconds is given by the function h= -16t2 + 48t + 6. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?

A. 1.5 s; 42 ft

B. 1.5 s; 114 ft

C. 3 s; 6 ft

D. 1.5 s; 54 ft

Answers

Answer:

A. 1.5 s; 42 ft

Step-by-step explanation:

1.5 sec and will reach a height of 42 feet

that is the vertex

for y=ax^2+bx+c

the x value of teh vertex is  

the y value is found by subsituting the x value of the vertex for x

so

h=-16t^2+48t+6

a=-16

b=48

c=6

x value of vertex is  

subsituting it for x we get

it reaches the max height of 42ft at 1.5 seconds

What is the expected number of tails when a fair coin is tossed 100 times?

Answers

Answer:

50 times

Step-by-step explanation:

Assuming a fair coin (probability of heads = 1/2), the expected number of heads (in the sense of mathematical expectations) is 100*1/2 = 50.

Members of a soccer team raised $1946.50 to go to a tournament. They rented a bus for $974.50 and budgeted $60.75 per player for meals. Write and solve an equation which can be used to determine pp, the number of players the team can bring to the tournament.

Answers

Answer:

16 players can be brought to the tournament. The equation is written within my step-by-step explanation.

Step-by-step explanation:

Variable p = number of players

Set up an equation:

974.50 + 60.75p = 1946.50

Isolate variable p:

60.75p = 972

Divide:

p = 16

Check your work:

974.50 + 60.75(16) = 1946.50

974.50 + 972 = 1946.50

1946.50 = 1946.50

Correct!

Answer:

Step-by-step explanation:

Verificar que el volumen de ambas figuras es el mismo, para ello lleva a cabo el siguiente procedimiento:
a) Obtén una expresión para el volumen de la primera figura.
b) Transforma la expresión como una multiplicación de polinomios.
c) Identifica en tu resultado el área de la base prisma y su altura para concluir una igualdad. ​

Answers

Answer:

English for fast response

Find the missing side. PLEASE HELP FAST !

Answers

Answer:

It is 28.5m. Hope this helps!! Have a good day..

x+y=4
x-2y=-5
If the first equation is multiplied by 2 and then the equations are added, the result is
=3
3 = 13
o3х=3 3

Answers

Answer:

3x = 3

Step-by-step explanation:

x + y = 4 × 2

= 2x + 2y = 8

2x + 2y = 8 + x - 2y = -5

3x = 3

What is the probability of getting ALL 2 red balls in a bag containing 24 balls?

Answers

Answer:

1 / 276

Step-by-step explanation:

The total Number of balls in the bag = 24

Number of red balls = 2

Assume the number of picks required = 2 and selection is performed without replacement ;

The probability of :

Choosing a red on first pick = (number of red balls / total number of balls) = 2 / 24

After first pick, red balls left = 1 ; total number of balls = 23

Choosing a red on second pick = (number of red balls / total number of balls = 1 / 23

Hence,

(2/24) * (1/23) = 2 / 552 = 1/276

6.17 greater or less 61 87/100

Answers

Answer:

Less

Step-by-step explanation:

[tex]6.17 < 6.187 [/tex]

pls help me asap!!!!!!!!

Answers

Answer:

Center: (9,3)

Radius: 9 units

Step-by-step explanation:

[tex]x^{2} -y^{2} -18x-6y+9=0[/tex]

[tex]x^{2} -18x+81+y^{2} -6y+9=-9+81+9[/tex]

[tex](x-9)^{2} +(y-3)^{2} =81[/tex]

Center: (9,3)

[tex]r^{2} =81[/tex] → [tex]r=9[/tex]

Radius : 9 units

-----------------------

OAmalOHopeO

-----------------------

256x²+² - x²y² + 49y²+²

Answers

[tex]\\ \sf\longmapsto 256x^2y^2-x^2y^2+49y^2x^2[/tex]

[tex]\\ \sf\longmapsto 256x^2y^2-x^2y^2+49x^2y^2[/tex]

[tex]\\ \sf\longmapsto (256-1+49)x^2y^2[/tex]

[tex]\\ \sf\longmapsto 304x^2y^2[/tex]

help me fast pleaseee

Answers

Answer:

A

Step-by-step explanation:

The answer is A. Answered by Gauthmath

Select the correct answer from the drop-down menu.
Z1 = 4cis (pi/2) and Z2=3cis(3pi/2)
The product of Z1 and Z2 is

Answers

Answer:

z₁ × z₂ = 12·cis(2·π)

Step-by-step explanation:

z₁ = 4·cis(π/2), z₂ = 3·cis(3·π/2)

We have;

z₁ = 4·cis(π/2) = 4·(cos(π/2) + i·sin(π/2))

z₂ = 3·cis(3·π/2) = 3·(cos(3·π/2) + i·sin(3·π/2))

According to De Moivre's Theorem,

z₁ × z₂ = 4×3×(cos(π/2 + 3·π/2) + i·sin(π/2 + 3·π/2)) = 12·(cos(2·π) + i·sin(2·π))

∴ z₁ × z₂ = 12·cis(2·π)

Solve the equation involving simple interest

Answers

Answer:

4%

Step-by-step explanation:

(8700 - 7500)/4 = 300

300/7500 = .04

please help meeeeeeeeeeeeee

Answers

Answer:

a)-2x(x+4x²)+3(x²+2x)

-2x²-8x³+3x²+6x

-2x²+3x²+6x-8x³

x²-8x³+6x

in descending order

-8x³+x²+6x

b)(4x-3)(4x+3)

4x(4x+3)-3(4x+3)

16x²+12x-12x-9

16x²-9

I hope this helps and sorry if it's wrong

Find an equation for the line with the given properties.
x-intercept = 2; y-intercept = -3. y =

Answers

Answer:

[tex]y=\displaystyle\frac{3}{2}x-3[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)

We're given:

⇒ x-intercept = 2

⇒ y-intercept = -3

1) Determine the slope (m)

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Given the x- and y-intercepts, we can rewrite them as points:

x-intercept = 2

⇒ (2,0)

y-intercept = -3

⇒ (0,-3)

Plug these points into the equation:

[tex]m=\displaystyle\frac{0-(-3)}{2-0}\\\\m=\displaystyle\frac{0+3}{2}\\\\m=\displaystyle\frac{3}{2}[/tex]

Therefore, the slope of the line is [tex]\displaystyle\frac{3}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle\frac{3}{2}x+b[/tex]

2) Plug in the y-intercept (b)

[tex]y=\displaystyle\frac{3}{2}x+b[/tex]

We're given the y-intercept: -3. Plug this into [tex]y=\displaystyle\frac{3}{2}x+b[/tex]:

[tex]y=\displaystyle\frac{3}{2}x+(-3)\\\\y=\displaystyle\frac{3}{2}x-3[/tex]

I hope this helps!

Helpppp and explain pls and ty

Answers

Step-by-step explanation:

2 gallons are needed for 10 galloms of lemonade

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