2. Harry is rolling a die, what is the probability of him rolling an even
number in simplest form? *

Answer:

The equations are linearly independent in vector space R²

Step-by-step explanation:

The given vectors are;

V₁ = (1, 2, 3), V₂ = (1, 1, 1), V₃ = (1, 1, 0)

For the vectors to be linearly dependent, we have;

a₁·V₁ + a₂·V₂ + a₃·V₃ = 0

Where;

a₁, a₂, and a₃ are not all zero

We get;

[tex]\left[\begin{array}{ccc}1&2&3\\1&1&1\\1&1&0\end{array} \right][/tex]

The vectors are linear dependent, if the following system of equation has a unique set of solution

x + y + z = 0...(1)

2·x + y + z = 0...(2)

3·x + y = 0...(3)

From equation (1), we have;

x = -(y + z)

∴ y + z = -x

Plugging in the value of y + z in equation (2) gives;

2·x + y + z = 0

2·x + y + z = 2·x - x = x = 0

x = 0

From equation (3), we get;

3·x + y = 0, where x = 0, therefore;

3 × 0 + y = 0

∴ y = 0

From equation (1), we have;

x + y + z = 0

Where, x = 0, and y = 0, we get;

0 + 0 + z = 0

z = 0

The vectors, V₁, V₂, and V₃ are linear independent in R³

In two dimensional space, we have

x + y = 0...(1)

2·x + y = 0...(2)

x + y = 0...(3)

Subtracting equation (1) from equation (2) gives;

2·x + y - (x + y) = 2·x - x + y - y = x = 0

∴ x = 0

From equation (1), we get

x + y = 0

∴ 0 + y = 0

∴ y = 0

Therefore, the equations are also linearly independent in vector space R²

Step-by-step explanation:

my answer is in the image above

[tex]\longrightarrow{\green{x\:=\:6}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➝[tex] \:\frac{3x + 2}{4} = \frac{x + 4}{2} [/tex]

➝[tex] \: 2(3x + 2) = 4(x + 4)[/tex]

➝[tex] \: 6x + 4 = 4x + 16[/tex]

➝[tex] \: 6x - 4x = 16 - 4[/tex]

➝[tex]\:2x = 12[/tex]

➝[tex] \: x = \frac{12}{2} [/tex]

➝[tex] \: x = 6[/tex]

Therefore, the value of [tex]x[/tex] is 6.

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

➪ [tex] \: \frac{3x + 2}{4} = \frac{x + 4}{2} [/tex]

➪ [tex] \:\frac{3 \times 6 + 2}{4} = \frac{6 + 4}{2} [/tex]

➪ [tex] \:\frac{18 + 2}{4} = \frac{10}{2} [/tex]

➪ [tex] \:\frac{20}{4} = 5[/tex]

➪ [tex] \: 5 = 5[/tex]

➪ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{❦}}}}}[/tex]

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

4 1/5 ÷ 3/5

Change to improper fractions

4 1/5 = ( 5*4+1) /5 = 21/5

21/5 ÷ 3/5

Copy dot flip

21/ 5 * 5/3

Rewriting

21/ * 5/5

7 * 1

7

Answer:

x <2

Step-by-step explanation:

2.5 – 1.2x < 6.5 – 3.2x

Add 3.2x to each side

2.5 – 1.2x+3.2x < 6.5 – 3.2x+3.2x

2.5 +2x < 6.5

Subtract 2.5 from each side

2.5+2x-2.5<6.5-2.5

2x<4

Divide by 2

2x/2 < 4/2

x <2

Answer is C

✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔✔

Given:

The expression is:

[tex]13+23+12+7[/tex]

To find:

The value of the given expression by using Commutative and Associative properties of numbers.

Solution:

We have,

[tex]13+23+12+7[/tex]

Applying parenthesis and brackets, we get

[tex]=[13+(23+12)]+7[/tex]

[tex]=[13+(12+23)]+7[/tex]             [Commutative properties of numbers]

[tex]=[(13+12)+23]+7[/tex]             [Associative properties of numbers]

[tex]=(25+23)+7[/tex]

Using Associative properties of numbers, we get

[tex]=25+(23+7)[/tex]               [Associative properties of numbers]

[tex]=25+30[/tex]

[tex]=55[/tex]

Therefore, the value of the given expression 55.

Given:

[tex]m=0.56x-0.25[/tex]

[tex]n=0.20x-0.03[/tex]

To find:

The sum of m and n.

Solution:

We have,

[tex]m=0.56x-0.25[/tex]

[tex]n=0.20x-0.03[/tex]

The sum of m and n is:

[tex]m+n=(0.56x-0.25)+(0.20x-0.03)[/tex]

Combining the like terms, we get

[tex]m+n=(0.56x+0.20x)+(-0.25-0.03)[/tex]

[tex]m+n=(0.76x)+(-0.28)[/tex]

[tex]m+n=0.76x-0.28[/tex]

Therefore, the sum of m and n is [tex]m+n=0.76x-0.28[/tex].

Answer:

hey, i think it's the first alternative

Step-by-step explanation:

Answer:

Range: [-7, 8]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, our y-values span from -7 to 8. Since both are closed dot, they are included in the range:

Range: [-7, 8]

Answer:

maybe like 12

Step-by-step explanation:

I would think 12 because because it is 2 of the square so I think 6 + 6 correct me of I'm wrong.

Answer:

8 chocolates

Step-by-step explanation:

im not really good at math and didnt use an equation but if you add 5 and 2 together until 28 and then count up how many 2's you added, you should get the answer! sorry if this isnt helpful <3

Answer:

893

Step-by-step explanation:

To the right of the decimal, the number 8 is greater than 4 so you have to round up the number to the left. So 2 becomes 3 in the ones place.

Hope this helps.

[tex]$\mathcal{WHOLE \ \ NUMBERS:}$[/tex]

The closest number is 893

Saludos ten lindo día uwu

Answer:

x = 0

Step-by-step explanation:

-2(x-4)=4x+2x+8

Distribute

-2x +8 =4x+2x+8

Combine like terms

-2x+8 =6x+8

Add 2x to each side

-2x+2x+8 =6x+2x+8

8 = 8x+8

Subtract 8 from each side

8-8 = 8x+8-8

0 = 8x

Divide by 8

0=x

Answer:

x = 0

Step-by-step explanation:

-2(x-4) = 4x+2x+8

-2x+8 = 6x+8

8-8 = 6x+2x

0 = 8x

x = 0

Hope this will help and if so, then please mark me as brainliest.

Answer:

4628

I hope it will help you all

Answer:

x = [tex]\sqrt{26}[/tex]

Step-by-step explanation:

using pythagoras theorem

here [tex]\sqrt{13}[/tex] and [tex]\sqrt{13}[/tex] are the legs of the right angled triangle and x is hypotenuse.

a^2 + b^2 = c^2

[tex](\sqrt{ 13 })^2 + (\sqrt{13})^2 = x^2[/tex]

13 + 13 = x^2

26 = x^2

[tex]\sqrt{26}[/tex] = x

Answer:

answer would be c

Step-by-step explanation:

hope this helps

Answer:

t= r-21

7

Step-by-step explanation:

r = 7(t+3)

expanding the bracket

r = 7t + 21

bringing t to the left hand side

7t = r - 21

divide both sides by seven

t= r-21

7

Answer:

t = (r/7) - 3

Step-by-step explanation:

Given equation,

→ r = 7(t + 3)

Now the value of t will be,

→ r = 7(t + 3)

→ r = 7t + 21

→ r - 21 = 7t

→ 7t = r - 21

→ t = (r - 21)/7

→ t = (r/7) - 3

Hence, value of t is (r/7) - 3.

Answer:

hello the function graph is turned 90 degree like clock way.

All the plotted graphs represent functions whose inverse is also a function.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to find the function whose inverse is also a function.

A one to one function is a type of function whose inverse is also a function. The linear equations are one to one functions. They are of the form {y} = ax + b. This means that all of the graphs plotted represent a  function whose inverse is also a function. So, we can conclude that all the plotted graphs represent the straight line, and all of them represent functions whose inverse is also a function.

Therefore, all the plotted graphs represent functions whose inverse is also a function.

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

#SPJ7

Answer:

C

Step-by-step explanation:

1) 7/12= 0.58, 4/7= 0.57

they are about 1/2

2) 7/12 + 4/7 = 97/84= 1.15 approximately 1

which is 1m from the option

Answer:

The first one with the sequence 0.25,1,4,16

Answer:

the first one

Step-by-step explanation:

Answer: The answer is 7.

Answer:

1 / 7

Step-by-step explanation:

Number of sections on spinner = 7

Section is numbered 1 to 7

Since the probability of landing on each section is the same:

Probability that spinner lands on 4 :

Probability, p = Required outcome / Total possible outcomes

Required outcome = landing on 4 = 1

Total possible outcomes = (1 to 7) = 7

P(landing on 4) = 1 /7

Answer:

d -x=y the awnssr may not be correct but I tried so

Answer:

x = 1, -5.56

Step-by-step explanation:

x^2 = -7x - 8

shift -7x and -8 to the other side . Remember when u shift minus changes into plus.

x^2 + 7x + 8 = 0

using quadratic equation formula

in quadratic equation one value comes positive and other comes in negative

a = 1  , b = 7 and c = 8

taking positive sign

x = (-b + [tex]\sqrt{b^2 - 4*a*c}[/tex]) /2*a

x = (-7 + [tex]\sqrt{7^2 - 4*1*8}[/tex] ) /2*1

x = (-7 + [tex]\sqrt{49 + 32}[/tex] ) /2

x = (-7 + [tex]\sqrt{81}[/tex] )/ 2

x = -7 + 9 / 2

x = 2/2

x = 1

taking negative sign

(-b - [tex]\sqrt{b^2 - 4*a*c}[/tex] ) /2*a

x = (-7 - [tex]\sqrt{7^2 - 4*1*8}[/tex] ) /2*1

x = (-7 - [tex]\sqrt{49 - 32}[/tex] ) /2

x = -7 - [tex]\sqrt{17}[/tex] / 2

x = -7 - 4.12 / 2

x = -11.12/2

x = -5.56

therefore x = 1 , - 5.56

Answer:

[tex]x = \frac{- 7 + \sqrt{17}}{2} \ , \ x = \frac{-7 - \sqrt{17}}{2}[/tex]

Step-by-step explanation:

[tex]x^2 = - 7x - 8\\\\x^2 + 7x + 8 = 0 \\\\[/tex]

[tex]x = \frac{- b \pm \sqrt{b^2 - 4ac}}{2a}\\\\[/tex]               [tex][ \ a = 1 , \ b = 7 , \ c = 8 \ ][/tex]

[tex]x = \frac{-7 \pm \sqrt{49 - (4\times 8)}}{2} \\\\x = \frac{-7 \pm \sqrt{17}}{2} \\\\x = \frac{-7 + \sqrt{17}}{2} , \ , \frac{-7 - \sqrt{17}}{2}[/tex]

Answer:

You didn't provide " the following" from which to choose.

Here are two solutions

y = 2x - 1

y - 1 = 2(x - 1)

Answer:

C. Midsegment

Step-by-step explanation:

A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side.

The picture below is just an example of what midsegments look like. If you draw out triangle CVR, put points in between CR and CV, and draw a line connecting the two points. You'll see that it looks exactly like a midsegment.

The term "midsegment" is being used to denote the ST segment.

A midsegment is a line that connects the midpoints of 2 triangle edges. A triangle's midsegment is half the size of the triangle's 3rd side and runs parallel to it.

If we create a triangle CVR, insert points across CR and CV, and link the two points with a line.

So, Option "C" is the correct answer to the following question.

Learn more:

https://brainly.com/question/2273557?referrer=searchResults

Answer:

no

Step-by-step explanation:

no

Answer:

The probability is 1/12.

Step-by-step explanation:

Number of elements in sample space is 6 . Even numbers are 2, 4 and 6 so the there are 3 three even numbers.

So, the probability of getting 3 on the first chance and then an even number in the second chance is

[tex]P = \frac{1}{6}\times \frac{3}{6}\\\\P = \frac{1}{12}[/tex]