please help me solve this problem. ​

Answer:

Step-by-step explanation:

...

[tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex] is augmented matrix best represents the system of linear equations that could be used to determine the price of each item

a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

Student A spent $9 on a bottle of school glue, a package of colored pencils, and a pencil pouch.

Let bottle of school glue=G

a package of colored pencils=C

pencil pouch=P

G+C+P=9

Student B

spent $16 on two bottles of school glue, three packages of colored pencils, and a pencil pouch.

2G+3C+P=16

Student C

spent $17 on a bottle of school glue, two packages of colored pencils, and two pencil pouches.

G+2C+2P=17

[tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex]

is used to determine the price of each item

Hence [tex]\left[\begin{array}{ccc}1&1&1\\2&3&1\\1&2&2\end{array}\right] \left[\begin{array}{ccc}G\\C\\P\end{array}\right] =\left[\begin{array}{ccc}9\\16\\17\end{array}\right][/tex] is augmented matrix best represents the system of linear equations that could be used to determine the price of each item

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Answer:

n-14 ;)

Step-by-step explanation:

The simplified form of the given expression is n-13.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, an expression, n-4-9, we need to write this expression in the simplest form,

We can add -4 and -9, to write it in the simplest form,

n-4-9

= n-(4+9)

= n-13

Hence, the simplified form of the given expression is n-13.

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Answer:

12000

Step-by-step explanation:

Answer:

-13, -1, -0.8, 1, 23

Step-by-step explanation:

Answer:

A or -0.8,-1/3, 2/3, 1

Step-by-step explanation

on edge 2020

Answer:

1. False

2. True

3. False

4. True

5. True

Answer:

Step-by-step explanation:

1. Fasle

2. True

3. False

Answer:

Answer: D (3 or 4)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

a) 323 kph with a directional bearing of S 22° E

Step-by-step explanation:

to find the ground speed:

just do the pythagorean theorem.

c²=300²+120²

c²=104400

c=323

to find the directional bearing:

use the law of sines!

sin(90)/323 = sin(θ)/120

(*explanation: since the plane is heading due south and the wind is from due west, it makes a 90 degree angle; and the side opposite of the 90 degree angle is 323. set it equal to sin theta over 120; theta is the angle u r trying to find, and the side opposite of it is 120)

cross multiply:

120sin90=323sin(θ)

divide 323 on both sides:

sin(θ)=0.3715

use inverse sin to find out degree measure:

sin⁻¹(0.3715)=21.8

rounds up to 22.

The ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E. Therefore, option A is the correct answer.

To find the ground speed of the plane, we need to know what a vector is

What is a vector?

A vector is a variable that has both magnitude and direction.

Since the airplane is headed due south with an airspeed of 300 kph, its vector is V = (-300 kph)j.

Also, the wind is blowing from the west at 120 kph. Its vector is v = (-120 kph)i

Now, the ground speed of the plane V' is the resultant vector of the airspeed and wind speed.

A resultant vector is the sum of two or more vectors.

So, V' = v + V

V' = (-120 kph)i + (-300 kph)j

So, its magnitude V' = √(x² + y²) where

x = -120 kph and

y = -300 kph.

So, V' = √[(-120 kph)² + (-300 kph)²]

= √[14400 kph² + 90000 kph²]

= √(104400 kph²)

= 323.11 kph

≅ 323 kph

The direction of the plane

Its direction, Ф = tan⁻¹(y/x)

Ф = tan⁻¹(-300 kph/-120 kph)

Ф = tan⁻¹(2.5)

Ф = 68.2°

From the South-line we have α = 90° - Ф = 90° - 68.2° = 21.8° ≅ 22°

So, the directional bearing of the plane is S22°E.

So, the ground speed and direction of the plane is 323 kph with a directional bearing of S 22° E.

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Answer:

x = 15

Step-by-step explanation:

Let the number be x.

(x - 14) x 3 = 3

3x - 42 = 3

3x = 45

x = 15

This is a question on forming and solving an algebraic equation. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

The unknown number could be 15.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given; I subtract 14 from a certain number. I multiply the result by 3. The final answer is 3 .

Let the unknown number be x.

(x - 14) x 3 = 3

3x - 42 = 3

3x = 45

x = 15

Hence, the unknown number could be 15.

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Answer:

Grace jumped for 9 minutes and Zoe jumped for 12 minutes

Step-by-step explanation:

Let Grace jumped for x minutes and Zoe jumped for y minutes

Grace jump no. of times in 1 minute = 66

Grace jump no. of times in x minutes = 66x

Zoe jump no. of times in 1 minute = 56

Zoe jump no. of times in x minutes = 56x

We are given that Their jumps today and together they jump 1266 times in the total of 21 minutes

So, x+y=21  ----1

66x+56y=1266  ---2

Substitute the value of x from 1 in 2

66(21-y)+56y=1266

y=12

x+y=21

x+12=21

x=21-12

x=9

Hence Grace jumped for 9 minutes and Zoe jumped for 12 minutes

Answer:

Grace jumped for 9 minutes and Zoe jumped for 12 minutes

Step-by-step explanation:

The coordinates of reflected points are:

(a) (4, 1)

(b) (-4, -1)

Use the concept of coordinate points defined as:

A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.

The given points are

(4, -1)

The objective is to find the point of reflection:

(a) Along the X-axis

(b) Along the Y-axis

(a) The reflection along the X-axis,

For the point  (4, -1)

x coordinate is 4

y coordinate is -1

Keep the x coordinate the same and take the negative of the y coordinate.

Therefore,

The negative of y coordinate is -(-1) = 1

Hence,

The reflection of the point along x-axis is (4, 1).

(b) The reflection along the Y-axis:

Keep the y coordinate the same and take the negative of the x coordinate.

Therefore,

The negative of x coordinate is -(4) = -4

Hence,

The reflection of the point along y-axis is (-4, -1).

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Answer:42 dollars

Step-by-step explanation:

Answer:

42 dollars

Step-by-step ex

Step: Solvey=2x+6for y:

y=2x+6

Step: Substitute2x+6foryin3y=x−2:

3y=x−2

3(2x+6)=x−2

6x+18=x−2(Simplify both sides of the equation)

6x+18+−x=x−2+−x(Add -x to both sides)

5x+18=−2

5x+18+−18=−2+−18(Add -18 to both sides)

5x=−20

5x/5=−20/5

(Divide both sides by 5)

x=−4

Step: Substitute−4forxiny=2x+6:

y=2x+6

y=(2)(−4)+6

y=−2(Simplify both sides of the equation)

Answer:

x=−4 and y=−2

I hope it helps you

Answer:

Tom's team won 15 games

Step-by-step explanation:

divide 36 by 12 to find out how many every 12 games there are then multiply that number by five.

Answer:

SAS

Step-by-step explanation:

If you flip the first triangle right side up, we can see that they are congruent in the same exact spots. The two sides are congruent, as well as the angle.

Answer:

They are congurrent by SAS criterion. SAS stands for side-angle-side where the angle is in between the 2 lines. In this we can see that 2 lines have been marked as well as the angle in both triangles. SAS is a valid criterion for proving congrurency and therefore these are congurent.

Really hard to explain through typing but hopes this helped

Step-by-step explanation:

Answer:

(8x1/2)1/3

Step-by-step explanation:

i took the quiz

Answer:

The ratios in their simplest form are:

A 25:24

B 19:24

C 23:24

D 11:16

Step-by-step explanation:

The ratios are in their simplest form are the ratios that cannot be simplified further.

We will check all the ratios one by one

A 25:24

Cannot be further simplified so it is in the simplest form

B 19:24

Cannot be simplified further.

C 23:24

Cannot be simplified further

D 11:16

Cannot be simplified further

E 27:18

[tex]27:18\\3:2[/tex]

Further simplified, so it was not in simplest form.

Hence,

The ratios in their simplest form are:

A 25:24

B 19:24

C 23:24

D 11:16

Answer:

The answer is 36 units.

Step-by-step explanation:

Got it correct on edg

Answer:

E

Step-by-step explanation:

When the absolute value of a number is trying to be found, you take the number inside and if its a negative it turns to a positive and if its a positive inside then it stays the same.

Answer:

BDE, absolute value is how far away it is from 0 so it is BD and E

Step-by-step explanation:

It says select all that apply aswell which is why there is more then one answer

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Success

The function rule is that each input (x value in (x,y)) should only equal to one output and one output (y value) can have more than one input.

✯the following is a function, so yes.

Answer:

yes

Step-by-step explanation:

Given :

The population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001.

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17t}}[/tex]    ...1)

To Find :

Find the number of fish is the pond in 2014.

Solution :

Number of years, t = 2014 - 2001 = 13.

Putting value of t in equation 1), we get :

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17\times 13}}\\\\p(t) = 485.67[/tex]

p(t) ≈ 486

Therefore, number of fish in the pond in 2014 is 486.

Hence, this is the required solution.

Answer:

x + 2x = 9

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Since we are using substitution, we must replace one variable in 1 equation as the 2nd equation.

We are given:

y = 2x

x + y = 9

Here we see that y equals 2x. We can go ahead and replace in the 2nd equation y.

x + 2x = 9

And we would solve from there.

Step-by-step explanation:

f(x) - g(x)

9x³+2x²-5x+4 - (5x³-7x+4)

9x³+2x²-5x+4 - 5x³+7x-4

4x³+2x²+2x

2x(2x²+x+1)

Answer:

No, the line does not pass (0,0).

No, the line does not pass (0,0)

Brainliest Appreciated!

Answer:

I hope this helps!

Answer:

that is, pi (π) multiplied by the radius squared (r2). Now, to calculate the area of a quadrant, divide the area of a circle by 4 (as four quadrants make a circle). We get, Area of a quadrant, A= (πr2)/4 Square units.