For the question my answer was -1 but other people were saying the answer was 53. This is my proof that the answer is -1.

here is the answer bae. Feel free to ask for more.

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

Answer:

[tex]p(x) = {4x}^{3} - {7x}^{2} - 5x + 43 \\ \\ p( - 3) = {4( - 3)}^{3} - {7( - 3)}^{2} - 5( - 3) + 43 \\ p( - 3) = - 113[/tex]

Answer:

- 113

Step-by-step explanation:

Substitute x = - 3 into p(x) and evaluate , that is

p(- 3) = 4(- 3)³ - 7(- 3)² - 5(- 3) + 43

         = 4(- 27) - 7(9) + 15 + 43

         = - 108 - 63 + 58

         = - 171 + 58

         = - 113

[tex]\longrightarrow{\green{ \: {x}^{2} + 3x - 18 }}[/tex] 

[tex]\sf\purple{Step-by-step\:explanation:}[/tex]

[tex](x - 3)(x + 6)[/tex]

➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]

➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]

➼ [tex] \: {x}^{2} +3x - 18[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]

Answer:

dude if they have a pattern they are a function figure it out from there

Answer:

129.3 feets

Step-by-step explanation:

Using the solution diagram attached below :

The difference in height of the two buildings :

Building B - Building A = (654 - 480) = 174 feets

Using trigonometry :

Cosθ = opposite / Adjacent

Cos 42 = d / 174

d = 174 * Cos 42

d = 129.307

d = 129.3 feets

Answer:[tex]\color{iron}{}[/tex]

Amplitude:

[tex]\color{iron}{5π/4}[/tex]

Period:

[tex]\color{iron}{3.14 x (4)²}[/tex]

[tex]\color{iron}{3.14 x 16}[/tex]

[tex]\color{iron}{A=5.4π}[/tex]

Answer:

if DA line is lineer

Step-by-step explanation:

you can use small triangle.. it's slopes ⅕ slope of DC=⅕

Step-by-step explanation:

hope I understand your question

a = 9/12

b = 6/5

c = 1/12

please simplify the fractions by yourself

Answer:

A: 42

Step-by-step explanation: 10.5x4=42

Answer:

your answer is A 42

Step-by-step explanation:

make me brainliest

Answer:

7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four

Answer:

tens of thousands

Step-by-step explanation:

Step-by-step explanation:

(a) subsets are {apple}, { }

(b) subsets are {1}, {2}, {1,2}, { }

proper subsets are {1}, {2}

(c) subsets are

{a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}, { }

proper subsets are {a}, {b}, {c}, {a,b}, {a,c}, {b,c}

(d) subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4},{ }

proper subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4}

Answer:

(x+3)² = 64

Step-by-step explanation:

(x+a)² = b

so, let's see the details of the square calculation :

x² + 2ax + a² = b

so, now we have in our problem the specific equation

x² +3x - 69 = -3x - 14

now, let's group and combine all expressions of x

x² + 6x - 69 = -14

compare to the general square equation.

x² is in both expressions. nothing else needs to be done for that part.

2ax must be equal to 6x.

=> 2a = 6

a = 3

so, our general swathe square equation turns then into

(x+3)² = b. or

x² + 6x + 3² = b

x² + 6x + 9 = b

now bring this again into our specific equation and see how we have to transform the remaining numbers to keep the equation true, and to show us b :

x² + 6x + 9 - 78 = -14 (because 9-78 is again -69)

x² + 6x + 9 = 64

=> b = 64

so, the form (x+a)²=b for our specific equation is

(x+3)² = 64

Answer:

The equations

[tex]x + y = 80[/tex]

[tex]0.25x + 0.1y = 16.25[/tex]

The solution

55 dimes and 25 quarters

Step-by-step explanation:

Given

Let

[tex]x \to[/tex] quarters

[tex]y \to[/tex] dimes

[tex]Total = 80[/tex]

[tex]Worth = \$16.25[/tex]

Required

Set up a system of equation to calculate the number of each coin

The total coin of 80 implies that:

[tex]x + y = Total[/tex]

[tex]x + y = 80[/tex]

A dime = $0.1

A quarter = $0.25

So, the worth of the coin is:

[tex]0.25 * x + 0.1 * y = Worth[/tex]

[tex]0.25x + 0.1y = 16.25[/tex]

So, the equations are:

[tex]x + y = 80[/tex]

[tex]0.25x + 0.1y = 16.25[/tex]

Next, solve for x and y

Multiply the second equation by 4

[tex]0.25x + 0.1y = 16.25[/tex] by 4

[tex]x + 0.4y = 65[/tex]

Subtract from [tex]x + y = 80[/tex]

[tex]x- x + y - 0.4y = 80 - 65[/tex]

[tex]0.6y = 15[/tex]

Solve for y

[tex]y = 25[/tex]

We have:

[tex]x + y = 80[/tex]

[tex]x = 80 - y[/tex]

[tex]x = 80 - 25[/tex]

[tex]x = 55[/tex]

Hence, there are 55 dimes and 25 quarters

Step-by-step explanation:

my answer is in the image above

Answer:

y  - intercept = - 3

Step-by-step explanation:

The equation of a line is typically written as y=mx + b where m is the slope and b is the y-intercept.

Given :

    y - 7x = - 3

    y = 7x - 3               [ convert to standard line equation form ]

Therefore , y  - intercept = - 3

Answer:

-3

This is the y intercept because when you re-arrange the equation to form y=mx+c, the y-intercept( c) is -3.

Answer:

which shape tho and it's easy if there is more than one shape than find the formula for each shape and combine them!

Answer:

Answer:

B. The function shown on the graph has a smaller rate of change but a higher starting point

Step-by-step explanation:

Question options obtained from a similar question are;

A. The function shown on the graph has a greater rate of change and a higher starting point

B. The function shown on the graph has a smaller rate of change but a higher starting point

C. The function shown on the graph has a greater rate of change but a lower starting point

The function shown on the graph has a smaller rate of change but a higher starting point

Explanation;

The given function with which the graph is compared is y = 4·x + 2

From the given function, we have;

The rate of change of the function is the coefficient of 'x', therefore, the rate of change of the function = 4

When y = 0, 4·x + 2 = 0,

∴ x = -2/4 = -0.5

The y-intercept is given when x = 0

∴ The y-intercept, y = 4 × 0 + 2 = 2

The starting point of the function, is (0, 2)

From the graph, we have;

The y-intercept = (0, 4)

Therefore, the starting point of the line, the y-intercept, (0, 4), is higher than the starting point of the given function, (0, 2)

The coordinates of two (clear) points on the line in the graph are (0, 4) and (-2, -2)

The rate of change of the line, m = (4 - (-2))/(0 - (-2)) = 3

Therefore, the graph has a lesser rate of change, 3, than the rate of change of the given function, 4

When compared with the given function, 'the function shown on the graph has a smaller rate of change and a higher starting point'.

Answer:

[tex]{ \tt{ = (100 + 89)\%}} \\ = { \tt{(189\% \times £854)}} \\ = £1614.06[/tex]

Answer:

60 cm

Step-by-step explanation:

Perimeter = 2(12) + 2(18)

Perimeter = 2(30) = 60

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

60cm

Step-by-step explanation:

(diagram with colors below)

The two red sides can be visualized as the same length as the length, so the two red segments add up to 18cm. The same thing can be said with the blue segments and the width. We can say the perimeter can be:

18 + 18 + 12 + 12 = 60cm

Answer: 700

Step-by-step explanation: 3 x 200 + 100

Answer:

c.$700

Step-by-step explanation:

3x+100 3 per chair=3x plus the additional 100 dollar fee

3(200)+100

600+100

700

Answer:

Dividend

Step-by-step explanation:

Dividend is the profit earned from investing in stock

Answer:

c.100

Step-by-step explanation:

first draw a figure of rhombus EFGH to avoid confusions

given

angle E= 3x+5

angle H= 4x

here,

E=G and H=F ( opposite angles of rhombus are equal)

now,

E+G+H+F= 360 ( sum of interior angles in a rhombus)

3x+5+3x+5+4x+4x= 360

x= 25°

we know that,

F= H

F= 4x

F= 4 × 25

F= 100

Answer:

the answer is 16 dividing 128 by 8 to get the petals in each flower.

Answer:

There are 16 petals per flower

Step-by-step explanation:

Take the number of petals and divide by the number of flowers

128/8

16

There are 16 petals per flower

Answer:

3.25 pounds per acre

Step-by-step explanation:

We want to find how much pounds of seed is need per acre. In division, with a numerator and denominator, this works perfectly, with how much we need (of seed) per acre translating into [tex]\frac{26 pounds}{3 acres}[/tex] , with the line representing the per. We can plug this into a calculator to get 3.25 pounds per acre, or [tex]\frac{3.25 pounds}{1 acre}[/tex]

Answer:

24 ft

Step-by-step explanation:

The area of a square is given by

A = s^2

36 = s^2

Take the square root of each side

sqrt(36) = sqrt(s^2)

6 = s

The perimeter of a square is

P = 4s

P = 4(6)

P = 24

Answer:

A. They have the same end behavior as x approaches [Infinity], but they have different x- and y- intercepts.

Step-by-step explanation:

The x and y intercepts in mathematics can depict more than one function. They can have same end behavior as x approach. The x and y intercepts can be different for the two functions.

Answer:

[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]

Answer:

The pack of water has the lower unit rate.

Step-by-step explanation:

The unit rate per bottle for individual bottles is 3.00. The unit rate for the pack is 0.75 per bottle.

Answer:

[tex]b = \frac{y-12x}{12}[/tex]

Step-by-step explanation:

subtract 12x from both sides, then divide by twelve.