When solving the following quadratic equation by completing the square, what do you do to the "b" term (or 6)?

x2 + 6x - 3 = 0

Answer:

[tex]y=-\frac{3}{2}x+12[/tex]

Step-by-step explanation:

Hi there!

We want to write the equation of a line parallel to y=[tex]-\frac{3}{2}x-1[/tex] and that passes through the point (4,6)

Parallel lines have the same slopes, but different y intercepts.

The slope of the equation [tex]y=-\frac{3}{2}x-1[/tex] is [tex]-\frac{3}{2}[/tex], since the equation is written in y=mx+b format (m is slope and b is y intercept), and [tex]-\frac{3}{2}[/tex] is in the place where m is.

It's also the slope of the line parallel to it.

So we know the slope of the new line, let's write it down:

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

Let's find b, in order to complete the equation

Since the equation passes through the point (4, 6), we can use it to solve for b.

Substitute 4 as x and 6 as y into the equation:

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

Multiply

6=-6+b

Add 6 to both sides

12=b

Substitute 12 as b in the equation.

y=[tex]-\frac{3}{2}x+12[/tex]

Hope this helps!

Answer:

7/12

Step-by-step explanation:

change in y / change in x

A magic square is a square containing a number of integers arranged in such a way that the sum of the numbers vertically, horizontally and diagonally is always the same number.

Hope it helps.

Do comment if you have any query.

A magic square is a large square that is divided into smaller squares. In a magic square, the smaller squares that make up the diagonal, horizontal and vertical magic square add up to the same value.

Popular magic squares include:

Please find attached an image of a magic square. To learn more about magic squares, please check: https://brainly.com/question/79480

Answer:

Step-by-step explanation:

Use distributive property: a*(b +c) =a*b + a*c

-3( 6 - 1.5n) = (-3)*6 - (-3)*1.5n

                  = -18 + 4.5n

Answer:

-18 + 4.5n

Step-by-step explanation:

-3(6 - 1.5n) = -3(6) -3(-1.5n)                  Distributive

                  = -18 + 4.5n                       Multiplication. Remember (-) (-) = +

Answer: 4

Step-by-step explanation:

Answer:2250

Step-by-step explanation:

All we need to do is multiply 15,000 by 15% also known as 0.15 as a decimal.

15,000 X 0.15 = 2250

Answer: 2250

The logarithmic property chosen here is:

[tex]log_{a}[/tex] m - [tex]log_{a}[/tex] n = [tex]log_{a}[/tex] [tex]\frac{m}{n}[/tex], and its validity is proven below:

The logarithmic properties are up to six, but one of it that is applicable here is:

[tex]log_{a}[/tex] m - [tex]log_{a}[/tex] n = [tex]log_{a}[/tex] [tex]\frac{m}{n}[/tex]

In the above expression, both the numerator and denominator have the same base number, but different powers. So in this case, dividing a number of power m by the same number but of power n would given an answer that is the same as the number to the power of the difference between m and n.

For example: Solve;

a. [tex]log_{10}[/tex] 6 - [tex]log_{10}[/tex] 3

b. [tex]log_{10}[/tex] 8 - [tex]log_{10}[/tex] 5

c. [tex]log_{b}[/tex] 6 - [tex]log_{b}[/tex] 2

Solutions:

a. [tex]log_{10}[/tex] 6 - [tex]log_{10}[/tex] 3 = [tex]log_{10}[/tex] [tex]\frac{6}{2}[/tex]

        = [tex]log_{10}[/tex] 2

        = 0.3010

b. [tex]log_{10}[/tex] 8 - [tex]log_{10}[/tex] 5 = [tex]log_{10}[/tex] [tex]\frac{8}{5}[/tex]

      = [tex]log_{10}[/tex] 1.6

       = 0.2041

c. [tex]log_{b}[/tex] 6 - [tex]log_{b}[/tex] 2 = [tex]log_{b}[/tex] [tex]\frac{6}{2}[/tex]

        = [tex]log_{b}[/tex] 3

The stated examples defend the validity of the specific logarithmic property.

Visit: https://brainly.com/question/12049968

Answer:

The answer is definitelly B.(Area of 1) + (Area of 2) = (Area of 3)

Step-by-step explanation:

A because they are all surrounding the triangle

Answer:

C

Step-by-step explanation:

To find which of the given choices are solutions for the system of equations, we need to:

-substitute x, and y with the given coordinates and

-check if they are solutions for both equations.

7x+y= 6

x+ 2y = -1

A. (x = -1, y = 0) ❌

7(-1)+0= 6; -7 =6 FALSE

-1+ 2*0 = -1; -1= -1 TRUE

B. (x = 1, y = 0)❌

7*1+ 0= 6; 7= 6 FALSE

1+ 2*0 = -1; 1 =-1 FALSE

C. (x =1, y= -1)✅

7*1 -1= 6; 6=6 TRUE

1+ 2(-1) = -1; -1=-1 TRUE

D. None of these choices are correct ❌

because one choice is correct

Answer:

im sorry if this is wrong but i think graph A

Step-by-step explanation:

id.k im sorry if it is wrong...

Answer:

A

Step-by-step explanation:

Edge 2022

Answer:

1. is the 3rd one

2. the last on is the answer

3 is A

4 is C

Step-by-step explanation:

Answer:

Sasha reads fat than her twin brother Jeff because in 10 hours he only 300 pages, but even though sasha read her book in 11 hours there's a 50 page difference.

Answer:

Step-by-step explanation:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Answer:

Slope Intercept form: y = mx + b

Step-by-step explanation:

mx: the slope

b: y- intercept

To find the slope, use this formula:

y₂ - y₁ / x₂ - x₁

Add in the numbers

1 - (-5) / 0 - 2

-6/2 (or -3) = slope

Use point-slope form to find the Y- intercept

y - y₁ = m (x - x₁)

y - (-5) = -3 (x - 2)

y + 5 = -3x + 6

Subtract 5 from both sides

y = -3x + 1 ← Slope intercept form

Graph the y- intercept at 1, and go down 3 and to the right 1. Your two coordinates will be (0 , 1) and (1, -2) .

Answer:

Y=#x+Y

Step-by-step explanation:

I think this formula would be best to use as one of the numbers would keep on changing while the other stays the same.

Enjoy, Hope i get what i promised :D

Answer:

Y=#x+Y

Step-by-step explanation:

The maximum area of the pen is the highest area the pen can have

The maximum area is 16200 square yards

Let the dimension be x and y.

So, the perimeter is given as:

[tex]\mathbf{P = 360}[/tex]

Because it has one additional fence, the perimeter is calculated as:

[tex]\mathbf{2x + y = 360}[/tex]

Make y the subject

[tex]\mathbf{y = 360 - 2x}[/tex]

The area is calculated as:

[tex]\mathbf{A = xy}[/tex]

Substitute [tex]\mathbf{y = 360 - 2x}[/tex]

[tex]\mathbf{A = x(360 -2x)}[/tex]

Expand

[tex]\mathbf{A = 360x -2x^2}[/tex]

Differentiate

[tex]\mathbf{A' = 360 -4x}[/tex]

Set to 0

[tex]\mathbf{360 -4x = 0}[/tex]

Rewrite as:

[tex]\mathbf{4x = 360}[/tex]

Divide both sides by 4

[tex]\mathbf{x = 90}[/tex]

Substitute 90 for x in [tex]\mathbf{A = 360x -2x^2}[/tex]

[tex]\mathbf{A = 360 \times 90 - 2 \times 90^2}[/tex]

[tex]\mathbf{A = 16200}[/tex]

Hence, the maximum area is 16200 square yards

Read more about maximum areas at:

https://brainly.com/question/11906003

Answer:

Step-by-step explanation:

Area = 72 m^2

L = 12m

Formula

w = Area / L

Perimeter = 2L + 2W

Solution

72m^2 = 12 W      Divide both sides by 12

72/12 = 12W / 12

W = 6 m

Perimeter = 2L + 2W

Perimeter = 2*12 + 2*6

Perimeter = 24 + 12

Perimeter = 36 m

Let's assume –

[tex]\qquad[/tex] According to the question :-

[tex]\qquad \pmb{\sf\longrightarrow 4 \times (28−x)+2 \times x=90}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 112−4x+2x=90}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 112−2x=90}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow −2x=90−112}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow −2x=−22}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 2 x=22}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow x= \cancel{\dfrac{22}{2}}}[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 11}}}}}}[/tex]

Therefore –

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer: 11

Step-by-step explanation:

This is a problem of solving word problems using systems of equations.

Let's denote 2-seat tables by x and 4-seat tables by y. Therefore, their sum will be the total number of tables, which is 28. So, x + y = 28.

Now, let's concentrate on the number of customers. It says that 'when all tables are full, there will be 90 customers in the restaurant'. Therefore if we seat 2 people on each 2-seat table(x), their total number will be 2x and if we seat 4 people on each 4-seat number(y), their total number will be 4y. Hence, 2x + 3y = 90.

Now, we have a system with two equations:

[tex]\left \{ {{x + y = 28} \atop {2x + 4y = 90}} \right.[/tex]

Multiply the first line by -4.

[tex]\left \{ {{-4x -4y = -112} \atop {2x + 4y = 90}} \right.[/tex]

Now, by adding up these two equations, we get the following:

-2x = -22

x = 11

This means that the restaurant has 11 two-seat tables.

Answer:

-3

Have a nice day

30 is the length of the hypotenuse

24 is one of the bases

a^2+b^2 = c^2

where c is the hypotenuse (longest side)

24^2 + y^2 = 30^2

576 +y^2 = 900

y^2 = 324

y= √324 = 18

y =  18

is this a question? confused

Answer:

Inductive

Step-by-step explanation:

Inductive reasoning is an observation that doesn't have any reliable proof.

Answer:

x

=

y

−

3/10

Step-by-step explanation:

1) 7! × 8! = ?

_____________

= 7! × 8!

= (7.6.5.4.3.2.) × 8!

= 5040 × (8.7.6.5.4.3.2)

= 5.040 × 40.320

= 203.212.800 ☑

Answer:

Step-by-step explanation:

(-1,-4)→(4,1)

The law of sines can't only be applied to right triangles. Therefore, it's B. False.

The Law of Sines says that in any given triangle, the ratio of any side length to the sine of its opposite angle is the same for all the three sides of the triangle.

The law of sines is used to solve any triangle, when we know two angles and one side or two angles and one included side. So, it can be used on non-right triangle and right triangle as the case may be.

The sine law states that the ratio of a triangle's side length to the sine of the opposite angle is the same for all three sides. When we are given a) two angles and one side, or b) two sides and a non-included angle, we use the sine rule.

Read more about Law of Sine on:

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#SPJ1

Answer:

I think you're looking at the wrong place my guy...

Step-by-step explanation:

Answer:

c=24

Step-by-step explanation:

c/3 = 8

Multiply each side by 3

c/3 *3 = 8*3

c=24

Step-by-step explanation:

2y - 4x + 6 = 0

2y = 4x - 6

y = 4x/2 - 6/2

y = 2x - 3

Answer:

[tex]y = 2x - 3[/tex]

Step-by-step explanation:

Simply make the y as the subject

[tex]2y - 4x + 6 = 0 \\ 2y - 4x = - 6 \\ 2y = - 6 + 4x \\ \frac{2y}{2} = \frac{ - 6 + 4x}{2} \\ y = - 3 + 2x \\ y = 2x - 3[/tex]

So,

[tex]y = mx + b \\ y = 2x - 3[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

Now, we have to find the quotient of the above expression.

So, here we go:

Now, we will divide the above simplest form with g(x):

Hence, the quotient is (x-2).

Step-by-step explanation: