find the slope in the line 3-4

Answer:

sheu7euw73u3hsusuuwueudhdhdhsjsjwiwuwuehehdggdhdue

Step-by-step explanation:

hzhsusududjdndjdhehhshshhdhdhdhdhdhdhdhdhbhdhdhhdhdhdudxbdhdhdhdhhshdhyehsuehduwhgduwhdydh

Considering the equation of the parabola, the directrix is: x = 1.

The equation of an horizontal parabola, of vertex (h,k), is given by:

(y - k)² = 4p(x - h).

The directrix is at x = h - p.

For this problem, the equation is:

(y + 3)² = 8(x - 3).

The relevant coefficients for this problem are:

4p = 8 -> p = 2, h = 3.

Hence the directrix is:

x = h - p = 3 - 2 = 1.

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The equation of the parabola whose equation [tex](y + 3)^3 = 8(x - 3).[/tex], the directrix exists x = 1.

The equation of a horizontal parabola, of vertex (h, k), exists given by:

(y - k)² = 4p(x - h).

The directrix exists at x = h - p.

For this problem, the equation exists:

[tex](y + 3)^3 = 8(x - 3).[/tex]

The appropriate coefficients for this problem exist:

4p = 8

p = 8/4 = 2 and h = 3.

Hence the directrix exists:

x = h - p = 3 - 2 = 1.

Therefore, the directrix exists at x = 1.

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The explicit form of the arithmetic function as described is; f(p) = 2(p-1) + 12. and the seventh term is; 24.

Since it follows from the task content, that the first term is 12 and the common difference is 2.

It therefore follows from convention that the explicit function is; f(p) = 2(p-1) + 12 and by substituting n= 7 into, the equation, we have; f(7) = 24.

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Answer:

2

Step-by-step explanation:

7+2n = 11

2n = 11-7

2n = 4

n = 4/2

therefore n = 2

The parentheses role in the sentence of Javier (in spite of his reservations) decided to go to the house party is that it shows a comment the writer is making.

The parentheses is known to be a kind of a word or phrase that is said to be often inserted as a form of an explanation or what we call an afterthought into what the writer is meaning to say or portray.

Note that the statement is not grammatically complete without the use of it hence it is often used in writing and marked off by the use of brackets, dashes, or commas.

Therefore, The parentheses role in the sentence of Javier (in spite of his reservations) decided to go to the house party is that it shows a comment the writer is making.

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Answer:

D

Step-by-step explanation:

The D answer choice is the correct functions needed to create the pictured graph, I have pictured these functions in a graphing calculator below

The equation be 2(x-2)-5=√x+3-1 then the graphical solution of the equations exists approximately x = 3 and x = 6.

The solution of an equation creates that equation true.

The equation of can be simplified, therefore:

2(x-2)-5=√x+3-1

simplifying the above equation, we get

2x -9 =√x+2

4 x²-37x + 79 = 0

The graphical solution of the equations exists at approximately x = 3 and

x = 6

In ending, the solution of an equation makes the equation true.

Therefore, the graphical solution of the equations exists approximately x = 3 and x = 6

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Answer:

$5 each teenager

Step-by-step explanation:

divide 75 by 15

We have to fill in the table that we have in the question with the following values as the solution

a. log6⁰, log 2 . 1, log 8/3

b. log 1 .4 , 1 , log 4. 6

c. log 9/2, log 3. 5 , log 5⁷

To do this, you have to decide on that particular number that you want to find the logarithm on. Next you have to find the base of that number.

The logarithm of the number is the power that it would have to be raised for us to obtain a different number.

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The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

Let x be the speed of the walkway.

(2.8 + x) = speed of child moving in direction of the walkway

(2.8 - x) =  speed of child moving against the direction of the walkway

Travel time = distance/speed

Travel time of child moving in direction of walkway = 23/(2.8+x)

Total elapsed time given = 29s

23/(2.8 + x)+ 23 / (2.8-x) = 29

LCD = (2.8 + x)(2.8 - x)

[tex]23(2.8 - x) + 23(2.8 + x) = 29(2.8 + x)(2.8 -x)[/tex]

simplifying the equation, we get

[tex]23*2.8-23x+23*2.8+23x=29(2.8^2-x^2)[/tex]

[tex]23(2.8+2.8)/29=2.8^2-x^2[/tex]

[tex]x^2=(2.8)^2-(23*5.6)/29)=3.4[/tex]

[tex]x=\sqrt{3.4}=1.84m/s[/tex]

Speed of walkway = 1.84 m/s

The speed of the moving walkway relative to the airport terminal exists at 1.84 m/s.

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A cell's expected frequency can be defined as the number of people in its row divided by the total number of people, multiplied by the number in its column and is therefore denoted as option C.

This is defined as the number of occurrences of a repeating which takes place per unit time.It also helps to measure how frequent something occurs when counted or observed and is also used in the calculation of the  different types of statistical data present or given.

This type of frequency is theoretical and are values which will most likely be in an experiment. it is calculated by multiplying the number in its column by the number of people in the row and dividing by the total number of people in this context.

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Answer:

4c=12

c=3

Step-by-step explanation:

Since 4c's make up one 12, it is safe to assume that 4c=12. This results in c=3 once simplified.

Answer:

4c = 12.

Step-by-step explanation:

There are 4 of the same objects marked c.

Answer:

B) x-intercept: (6, 0)

   y-intercept: (0, 7)

Step-by-step explanation:

Given equation: [tex]7x + 6y = 42[/tex]

What are the x- and y-intercepts?

The x-intercept is the point where the line intersects the x-axis. In short, it is when y = 0 — [tex](x, y) \Rightarrow (x, 0)[/tex]. The y-intercept is where the line intersects the y-axis, which is when x = 0 — [tex](x, y) \Rightarrow (0, y)[/tex].

Find the x-intercept (by substituting 0 for y):

[tex]\\\implies 7x + 6y = 42\\\\\implies 7x + 6(0) = 42\\\\\implies 7x = 42\\\\\implies \dfrac{7x}{7}=\dfrac{42}{7}\\\\\implies \boxed{x=6}[/tex]

Coordinate: [tex](6, 0)[/tex]

Find the y-intercept (by substituting 0 for x):

[tex]\\\implies 7x + 6y = 42\\\\\implies 7(0) + 6y = 42\\\\\implies 6y = 42\\\\\implies \dfrac{6y}{6}=\dfrac{42}{6}\\\\\implies \boxed{y=7}[/tex]

Coordinate: [tex](0, 7)[/tex]

Answer:

LCM=72

Step-by-step explanation:

l.c.m by prime factorization

a)18,24

factor of 18=2*3*3

factor of 24=2*2*2*3

common and remaining factor=2*3*3*2*2= 72

The percentage of Zachary's pay due to his deductions comprise exists 18.724%.

Zachary exists supposed to earn a paycheck of $20,160.00 but instead, he acquires a lesser amount of money due to deductions. The money he acquires after deductions exists at $16,385.31.

Money deducted = Original paycheck amount - deductions

= $20,160.00 - $16,385.31

= $3,774.69.

So Zachary obtains a deduction of $3,774.69.

To estimate the percent of deductions in terms of his pay we divide the deduction cost with the original paycheck amount and multiply it by 100 to transform it into a percentage.

Deduction % = ($3,774.69 / $20,160.00) [tex]*[/tex] 100

= 0.1872366 [tex]*[/tex] 100

= 18.72366%

We obtain the deduction percentage as 18.724%.

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Answer:

24 dollars.

Step-by-step explanation:

1/4 + 1/3 = 3/12 + 4/12 = 7/12

7/12 a + 8 = 22

7/12 a = 14

a = 14 x 12/7

a = 24

Step-by-step explanation:

I am not sure I understand your question (grammatically).

percentages are like any other numbers. they can be added, divided, ...

so, 100% or simply 100 : 100/4 = 25.

so, 4×25 = 100.

and 4×25% = 100%

I am really not sure if this is your question, but it fits to your table with 4 entries and 100% as result.

The correct equation is (a) because π/1 = C2/r2, [tex]C_2= 2\pi r[/tex]

The complete question is added as an attachment

The given parameters are:

d1 = 1

d2 = 2r

The circumferences of the circles are calculated as:

C = πd

This gives

C1 = π * 1 = π

C2 = π * 2r = 2πr

So, we have:

C1 = π

C2 = 2πr

and

d1 = 1

d2 = 2r

Divide both equations

[tex]\frac{C_2}{d_1} = \frac{C_2}{d_2}[/tex]

[tex]\frac{\pi}{1} = \frac{2\pi r}{2r}[/tex]

This gives

[tex]\frac{\pi}{1} = \frac{C_2}{2r}[/tex]

Hence, the correct equation is (a) because π/1 = C2/r2, [tex]C_2= 2\pi r[/tex]

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Answer:

Its A

Step-by-step explanation:

Answer:

(4, 1 )

Step-by-step explanation:

x = 3y + 1 → (1)

2x + 4y = 12 → (2)

substitute x = 3y + 1 into (2)

2(3y + 1) + 4y = 12

6y + 2 + 4y = 12

10y + 2 = 12 ( subtract 2 from both sides )

10y = 10 ( divide both sides by 10 )

y = 1

substitute y = 1 into (1)

x = 3(1) + 1 = 3 + 1 = 4

solution is (4, 1 )

Answer:

This is your answer!

Step-by-step explanation:

Answer:

-65

Step-by-step explanation:

23-2(17+3^3)

23-2(17+27)

23-2(44)

23-88

=-65

The Laplace transformation of given equation is [tex]y=-\frac{9}{2}e^{3t}\sin \left(2t\right)[/tex].

According to the statement

we have given that the equation and we have to find the Laplace transformation of that equation.

So, For this purpose, we know that the

Laplace transformation is an integral transform that converts a function of a real variable to a function of a complex variables.

And the given equation is

y'' − 6y' + 13y = 0, y(0) = 0, y'(0) = −9

To convert into the Laplace transformation

firstly find the single derivative of given equation in the Laplace transformation and put y = -9 in this.

And now find second derivative of given equation in the Laplace transformation.

And and put y = 0 in the given equation.

After the Laplace transformation give value as a Laplace transformation is [tex]y=-\frac{9}{2}e^{3t}\sin \left(2t\right)[/tex].

So, The Laplace transformation of given equation is [tex]y=-\frac{9}{2}e^{3t}\sin \left(2t\right)[/tex].

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The Expected value of M is 65

The Standard error of M is 5

Given,

The sample score, n = 9

The Standard deviation, σ = 15

Population mean, μ = 65

Then,

The Expected value of M = μ

∴ The Expected value of M = 65

The Standard error of M = σ/[tex]\sqrt{n}[/tex]

                                          [tex]=\frac{15}{\sqrt{9} } \\\\=\frac{15}{3} \\=5[/tex]

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The range of the function f(x) is (-∝, 3]

The function definition is given as:

[tex]f(x) = \left[\begin{array}{cc}3^{x-1}-4&x\le 3\\ \frac{-x^2 + 3x + 4}{x^2 - 7x + 12}&x > 3\end{array}\right[/tex]

There are two sub-functions and the domains in the above definition.

Each function would be plotted alongside its domain.

See attachment for the graph of the function f(x)

From the graph of the function, we have the following range of f(x)

Minimum = Negative Infinity

Maximum = 5

Hence, the range of the function f(x) is (-∝, 3]

We have the domains to be

x <= 3 and x > 3

This means that the asymptote of f(x) is x = 3

From the graph, we have:

This means that the end behavior of f(x) is as x approaches +∝, the function approaches +∝ and as x approaches -∝, the function approaches -∝

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Complete question

A piecewise function f (x) is defined by

[tex]f(x) = \left[\begin{array}{cc}3^{x-1}-4&x\le 3\\ \frac{-x^2 + 3x + 4}{x^2 - 7x + 12}&x > 3\end{array}\right[/tex]

Using it's concept, the domain of the function is given as follows:

{x| –2 ≤ x <= 5}

The domain of a function is the set that contains all possible input values for the function, that is, the values for which the function is defined.

The function described in this problem is defined from x = -2 until x = 5 hence the domain of the function is given as follows, by the interval:

{x| –2 ≤ x <= 5}

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Answer:

So I got 64 on my test, but it doesn't let you see what was right and what was wrong, so I guess we will never know☹️☹️☹️☹️.

BTW in was on edge

Answer:

[tex]BC=24[/tex]

Step-by-step explanation:

We know that in an isosceles triangle if two angles are congruent then the opposite sides of the angle must also be congruent.

Therefore [tex]AC=AB[/tex]

Then we can create an equation and solve for x

[tex]x+8=2x-1\\x+9=2x\\9=x[/tex]

Now that we have x we just need to substitute it for [tex]BC[/tex]

[tex]BC=3x-3\\BC=3(9)-3\\BC=27-3\\BC=24[/tex]

Using proportions, it is found that the work required to compress the spring an additional one-half inch is of 1.0625 ft-lb.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For 4 inches, 8.5 ft-lb of work is needed, hence for a single inch the amount needed is:

8.5/4  = 2.125.

Hence for half an inch, the amount if:

0.5 x 2.125 = 1.0625 ft-lb.

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Answer:

OK

Let x=the number

2x=double the number

2x+5=the doubled number increased by 5

And we are told that this equals -47

sooooo

2x+5=-47 subtract 5 from each side2x=-47-5=-52

2x=-52

x=-26------the number

CK

2*(-26)=-52

-52 increased by 5=-52+5=-47

-47=-47

Hope this helps- Clara ☆*: .｡. o(≧▽≦)o .｡.:*☆

Step-by-step explanation:

❄ Hi there,

let us start by letting the number be r. The problem tells us that r is doubled and then increased by 2.

This is what it looks like –

[tex]\triangleright \ \sf{2r+2}[/tex]

Also the result is 14 more than 5r.

We end up with an equation that looks like this –

[tex]\triangleright \ \sf{2r+2=14+5r}[/tex]

To find the number we should solve the equation for r –

[tex]\large\begin{gathered} \sf{2r+2=14+5r} . \ Solve \ for \ r: \\ \sf{2r-5r+2=14}\\ \\ \sf{-3r+2=14}\\\sf{-3r=14-2}\\\sf{-3r=12}\\\sf{-r=4}\\\sf{r=-4}\end{gathered}[/tex]

❄

Answer:

50 days

Step-by-step explanation:

40×300=1200

1200-700

500

so 1 day is 10 . 50 days is 500

The number of days he was absent from work will be 50 days

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a man gets Rs. 40 for every day he works, but is fined Rs. 10 for every day he is absent If he got Rs. 700 at the end of 30 days.

The number of days he was absent from work will be calculated as below:-

40×300 = 1200

             = 1200-700

             = 500

1 day is 10 then 50 days is 500. Therefore, the number of days he was absent from work will be 50 days

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Answer:0.0625

Step-by-step explanation:

Answer:

1/16.

Step-by-step explanation:

4 ^-2 = 1 / 4^2

= 1/16.