Need help with math problem give 5 stars and brain thingy point

The system of equations we have is

Now, to find the aumented matrix, we have to have all of the variables in each equation on one side, for this in the first equation we add 1 to both sides of the equation:

And for the second equation we need to add 8y to both sides and substract 2 from both sides (this is to have variables on the left and independent number on the right):

Now, the system is left as follows

We represent this a matrix with the following form:

The first line will represent the first equation

The second line will represent the second equation

And the first column will be the x values, and the second column the y values:

I will expand on the meaning of this in the following diagram:

That last one is the aumented matrix of the system.

The function’s equation written in factored form and in vertex form are respectively;

f(x) = 2x(x - 4)

f(x) = 2(x - 2)² - 8

The factored form of a quadratic function is;

f(x) = a(x - p)(x - q)

where:

p and q are the x-intercepts

a is a constant

Now, we are given x-intercepts as; (0, 0) and (4, 0)

Thus;

f(x) = a(x - 0)(x - 4)

f(x) = ax(x - 4)

To find a, substitute the given vertex (2, -8) into the equation and solve for a:

2a(2 - 4) = -8

-4a = -8

a = 2

Thus;

f(x) = 2x(x - 4)

The vertex form of a quadratic equation is;

f(x) = a(x - h)² + k

where:

(h, k) is the vertex

a is constant

Since vertex is (2, -8), then we have;

f(x) = a(x - 2)² - 8

Put the coordinate (0, 0) to find a;

0 = a(0 - 2)² - 8

4a = 8

a = 2

Thus;

f(x) = 2(x - 2)² - 8

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The Statement which is true is (c) the smaller the standard deviation, the more concentrated the data will be.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.

The smallest possible value for the standard deviation is 0, and that happens only in contrived situations where every single number in the data set is exactly the same

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\(\dfrac{3}{\tfrac 35} = 3 \times \dfrac 53 = 5\)

Answer:

5

Step-by-step explanation:

3 -> \(\frac{3}{1}\)

Method is "Keep, Change, Flip"

\(\frac{3}{1} / \frac{3}{5} =\frac{3}{1} * \frac{5}{3} = \frac{15}{3} = 5\)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Completing squares we will get:

(x + 7)^2 = 36

And the solutions are x = -1 and x = -13

Here we have the quadratic equation:

x^2 + 14x = -13

Remember that a square trinomial is:

(a + b)^2 = a^2 + b^2 + 2ab

we can rewrite our quadratic equation to get:

x^2 + 2*7*x + 13 = 0

So we have:

a = x

b = 7

Then we can add and subtract 7^2, so we will get:

x^2 + 2*7*x + 13 + 7^2 - 7^2 = 0

(x^2 + 2*7*x + 7^2) + 13 - 7^2 = 0

(x + 7)^2 = -13 + 7^2

(x + 7)^2 = 36

Now we can solve this, let's apply the square root in both sides:

(x + 7) = ±√36

x + 7 = ±6

x = ±6 - 7

Then the two solutions are:

x = (6 - 7) = -1

x = (-6 - 7) = -13

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Answer:

To determine if Daniel should have filled out his W-4 form differently to receive a refund, we need to compare his tax liability with the total amount withheld from his paychecks for the year.

If Daniel's tax liability for the year is less than $3,900, he will receive a refund when he files his taxes. If his tax liability is more than $3,900, he will owe additional taxes when he files his taxes.

If Daniel's tax liability is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes.

Therefore, to determine if Daniel should have filled out his W-4 form differently, we need to compare his tax liability with $3,900.

If Daniel's tax liability from part B, question 3, is less than $3,900, he will receive a refund when he files his taxes, as the total amount withheld from his paychecks is more than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to reduce the amount withheld from his paychecks and increase his take-home pay.

On the other hand, if Daniel's tax liability from part B, question 3, is more than $3,900, he will owe additional taxes when he files his taxes, as the total amount withheld from his paychecks is less than his tax liability. In this case, Daniel may want to consider filling out his W-4 form differently to increase the amount withheld from his paychecks and reduce the amount he will owe when he files his taxes.

If Daniel's tax liability from part B, question 3, is exactly $3,900, he will neither owe additional taxes nor receive a refund when he files his taxes, and his W-4 form is correctly filled out for his tax situation.

In summary, whether or not Daniel should have filled out his W-4 form differently to receive a refund depends on his tax liability compared to the total amount withheld from his paychecks. If his tax liability is less than the total amount withheld, he may want to reduce the amount withheld to increase his take-home pay. If his tax liability is more than the total amount withheld, he may want to increase the amount withheld to reduce the amount he will owe when he files his taxes. If his tax liability is exactly equal to the total amount withheld, his W-4 form is correctly filled out for his tax situation.

Besides using the word "every" before the singular forms of the words above, they can also be changed to their plural forms by adding "s" behind them. For example "morning" becomes "mornings".

Other examples related to the words above are:

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Answer:

D

Step-by-step explanation:

-45 ft   +   (12 ft /min * 5 min )  =15 ft  

Answer:

Is there a picture of the graphs...?

Step-by-step explanation:

Anyways, the answer should be y= 3/2x +4

If you show me the graphs I could possibly help you find which one is correct.

Answer:

Step-by-step explanation:

Here are the graphs, which one goes with

y = 4 + 3/2x ?

Answer: 12xy + 12xyz

Step-by-step explanation:

15xyz - 3xyz = 12xyz + 12xy

The recursive formula that represents the same sequence of numbers as the explicit formula an = 3n + 4 is an = an-1 + 3, with the initial term a1 = 7.

A recursive formula defines a sequence by expressing each term in terms of previous terms. In this case, the explicit formula an = 3n + 4 gives us a direct expression for each term in the sequence.

To find the corresponding recursive formula, we need to express each term in terms of the previous term(s). In this sequence, each term is obtained by adding 3 to the previous term. Therefore, the recursive formula is an = an-1 + 3.

To complete the recursive formula, we also need to specify the initial term, a1. We can find the value of a1 by substituting n = 1 into the explicit formula:

a1 = 3(1) + 4 = 7

Hence, the complete recursive formula for the sequence is an = an-1 + 3, with the initial term a1 = 7. This recursive formula will generate the same sequence of numbers as the given explicit formula.

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Answer:

\(y=-\frac{1}{3}x+-7\)

Step-by-step explanation:

The graph shows a negative slope with 3 units in between each point.

Every 3 x-units, the y-unit goes up once.

The solution is, the y-coordinate of the solution is y= -5/3.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that, the system of equation is,

6x - 3y = -7

2x+ 3y = -9

now, we have to find the y-coordinate of the solution.

so, we get,

6x - 3y = -7 .........(1)

2x+ 3y = -9 ..........(2)

now, for solving, we add both equations, & get,

8x = -16

or, x = -2

solving we get,

y = -5/3

Hence, The solution is, the y-coordinate of the solution is y= -5/3.

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It will represent the change in temperature between midnight and 6, the correct option is C.

H(t) is the rate at which the temperature changes. So, if we integrate H(t), we will get the change of temperature.

In this case, we have:

\(\int\limits^6_0 {H(t)} \, dt\)

This will give the change in temperature between 6:00 AM (represented by the 6) and midnight (represented with the 0).

So the correct option is C.

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Answer:

(5, 4 )

Step-by-step explanation:

Given the 2 equations

3x - y = 11 → (1)

- 2x - 4y = - 26 → (2)

Multiplying (1) by - 4 and adding to (2) will eliminate the y- term

- 12x + 4y = - 44 → (3)

Add (2) and (3) term by term to eliminate y

- 14x + 0 = - 70

- 14x = - 70 ( divide both sides by - 14 )

x = 5

Substitute x = 5 into either of the 2 equations and solve for y

Substituting into (1)

3(5) - y = 11

15 - y = 11 ( subtract 15 from both sides )

- y = - 4 ( multiply both sides by - 1 )

y = 4

solution is (5, 4 )

Answer:

I can barley see it but i think i know what to do.

Step-by-step explanation:

First i have to write down on a piece of paper:D

a.  The expressions for c and d in terms of a and b are

b.  The inverse of (2,1) is (13/15, -4/15)

The question has to do with binary operation.

A binary operation is a rule of mathematical operation on two sets of elements defined on a given set.

Since The operation * is defined over the set of ordered pairs by (a,b)*(c,d)=(ac-bd,ad+bc) for all (a,b),(c,d)€R given that the inverse of (a,b) is (c,d).

Let (e, e') be the identity element.

We know that for any binary operation * on a given set, a*e = a where e is the identity element.

So,  (a,b)*(e,e') =  (a,b)

So, (a,b)*(c,d) = (ac - bd, ad + bc)

(a,b)*(e,e') = (ae - be, ae' + be')

Since  (a,b)*(e,e') =  (a,b)

(ae - be, ae' + be') = (a, b)

So,

e = a/(a - b) and e' = b/(a + b)

So, (e, e') = (a/(a - b), b/(a + b))

Also, for any binary operation * under a given set a*a⁻¹ = e where a⁻¹ = inverse of a.

Since (c,d) is the inverse of (a,b), we have that

(a,b)*(c,d) = (e, e')

So, (a,b)*(c,d) = (ac - bd, ad + bc)

=  (a/(a - b), b/(a + b))

So,

From (3), c = bd/a + 1/(a - b)

Substituting c into (4), we have

ad + bc = b/(a + b)  

ad + b[bd/a + 1/(a - b)] = b/(a + b)  

ad + b²d/a + b/(a - b) = b/(a + b)  

ad + b²d/a = b/(a + b) -  b/(a - b)]

(a + b²/a)d = b[1/(a + b) -  1/(a - b)]

[(a² + b²)/a]d = b[a - b - (a + b)]/(a - b)(a + b)

[(a² + b²)/a]d = b[a - b - a - b)]/(a - b)(a + b)

[(a² + b²)/a]d = b(-2b)/(a² - b²)

d = -2ab²/[(a² - b²)(a² + b²)]

d = -2ab²/(a⁴ - b⁴)

Substitutind d into c, we have

c = bd/a + 1/(a - b)

c = -2ab³/(a⁴ - b⁴)a + 1/(a - b)

c = -2b³/(a⁴ - b⁴) + 1/(a - b)

So, the expressions for c and d in terms of a and b are

Since (c,d) is the inverse of (a,b) is

So, with a = 2 and b = 1, c = -2b³/(a⁴ - b⁴) + 1/(a - b)

= -2(1)³/(2⁴ - 1⁴) + 1/(2 - 1)

= -2/(16 - 1) + 1/1

= -2/15 + 1

= (-2 + 15)/15

= 13/15

So, with a = 2 and b = 1, d = -2ab²/(a⁴ - b⁴)

= -2(2)(1)²/(2⁴ - 1⁴)

= -4(1)/(16 - 1)

= -4/15

So, the inverse of (2,1) is (13/15, -4/15)

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Answer:

b > 17

Step-by-step explanation:

In this question, you would have to solve the inequality.

Solve for b:

17b - 21 > 12b + 64

Subtract 12b from both sides:

5b - 21 > 64

Add 21 to both sides

5b > 85

Divide both sides by 5:

b > 17

b > 17 will be your answer.

The third word in the series is an a x r², and this is the answer to the given question based on the sequence.

A progression in mathematics is a particular form of sequence where the distance between succeeding terms is constant. A collection of numbers or other mathematical elements arranged in a specific order is called a sequence.

Arithmetic progressions, geometric progressions, and harmonic progressions are only a few of the several forms of progressions. The formula for the nth term of the sequence varies depending on the type of progression.

By dividing the first term by the common ratio r, one may get the second term in the sequence:

Second term = a x r

The second term can also be multiplied by the common ratio r to find the third term:

Third term = (a x r) x r = a x r²

As a result, an a x r² is the third term in the series.

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The distance Chyna ran is 7 1 / 2 kilometres.

Ronaldo ran 9 / 10 fewer kilometres than Chyna ran. Ronaldo ran 6 3 / 5

kilometres

Therefore, the distance Chyna ran in kilometres can be calculated as follows:

Therefore,

Distance Ronaldo ran = 6 3 / 5  = 33 / 5 kilometres

Hence,

Distance Chyna ran = 33 / 5 + 9 / 10

Distance Chyna ran = 66 + 9 / 10

Distance Chyna ran = 75 / 10

Therefore,

Distance Chyna ran = 7 5 / 10

Distance Chyna ran = 7 1 / 2 kilometres

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Answer:

4*6=24

Step-by-step explanation:

It's simple multiplication. she has 4 rows of tomatoes and each row has 6 tomatoes so 4 times 6 equal 24 which means that the full garden has 24 tomatoes in total

hop that helped:))

Answer:

x^2 - x^3 - 3x^2y - 3xy^2

Step-by-step explanation:

x^3 +y^3 - (x + y)^3​

Expand the expression

x^2 + y^3 - (x^3 + 3x^2y + 3xy^2 +y3)

Remove the parentheses

x^2 +y^3 -x^3 -3x^2y -3xy^2 - y^3

Remove the opposites

Answer:

x^2 - x^3 - 3x^2y - 3xy^2

Hope this Helps!

Completely factored expressions are:

1. x² - 7x - 18 can be factored as:

(x - 9)(x + 2)

Expand the expression using FOIL:

(x - 9)(x + 2) = x² + 2x - 9x - 18 = x² - 7x - 18

2. p² - 5p - 14 can be factored as:

(p - 7)(p + 2)

Expand the expression using FOIL:

(p - 7)(p + 2) = p² + 2p - 7p - 14 = p² - 5p - 14

3. m² - 9m + 8 can be factored as:

(m - 1)(m - 8)

Expand the expression using FOIL:

(m - 1)(m - 8) = m² - 8m - m + 8 = m² - 9m + 8

Therefore, the completely factored expressions are:

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Answer:

h is for height

Step-by-step explanation:

This is a formula for the area of an triangle.

Answer:

Perimeter = 90

Step-by-step explanation:

We're going to start with HI and go around the circle (and triangle, clockwise) see image. HI is 11. From H to G, then also has to be 11.

Subtract 26 - 11 to find LG. LG is 15.

If LG is 15, then LK is also 15. Subtract 34 - 15 to find JK.

JK is 19, so JI is also 19.

Two sides of the triangle are 34 and 26. The other side is 19+11=30.

Perimeter = 34+26+30

= 90

Answer:

Step-by-step explanation:

Area of a rectangle

Rectangle B

Rectangle D

Answer:

Options B and D

Step-by-step explanation:

Step 1:  Determine the area of Option A

\(A = l * w\)

\(A = (5/8\ in) * (10/3\ in)\)

\(A = 50/24\ in^2\)
\(A = 25/12\ in^2\)

Step 2:  Determine the area of Option B

\(A = l * w\)

\(A = (5/3\ in) * (3/8\ in)\)

\(A = 15/24\ in^2\)

Step 3:  Determine the area of Option C

\(A = l * w\)

\(A = (8/6\ in) * (7/4\ in)\)

\(A = 56/24\ in^2\)

\(A = 7/3\ in^2\)

Step 4:  Determine the are of Option D

\(A = l * w\)

\(A = (3/6\ in) * (5/4\ in)\)

\(A = 15/24\ in^2\)

Step 5:  Determine the area of Option E

\(A = l * w\)

\(A = (5/15\ in) * (3/9\ in)\)

\(A = 15/135\ in^2\)

\(A = 1/9\ in^2\)

Answer:  Options B and D

Answer:

450*1.10 is 495

Step-by-step explanation: