f(4) =
If g(x) = 2, x =
<

Answer:

ok so if we add this up we get that there is 14 kids in the class who have been polled and 2/14 or 1/7 likes hamlet so the chance is 1 out of 7

The experimental probability that the next student to respond likes Hamlet best is [tex]\frac{1}{6}[/tex] .

Thus, the experimental probability that the next student to respond likes Hamlet best is [tex]\frac{1}{6}[/tex] .

Learn more about Probability here:

https://brainly.com/question/15161940

#SPJ2

Answer:

x = 4/5 is the one x value that is not permitted.  The domain of (fog)(x) is

(-infinity, 4/5) ∪ (4/5, infinity)

Step-by-step explanation:

(fog)(x) is the "composition" of f and g.  We start with f(x) and replace x with g(x), which is 5x - 4:

              3

f(x) = x - ------- becomes

               x

                                          3            

f(5x - 4) =     [5x - 4]  -  ------------

                                      [5x - 4]

To identify the domain, consider the value or values of x for which the denominator shown above is zero:  5x - 4 = 0, or 5x = 4, or x = 4/5

The domain of the composite function (f·g)(x) in interval notation is (-∞,0)∪(0,∞).

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

The given functions are f(x)= x-3/x and g(X)=5x-4.

Now, (f·g)(x)=f(x)×g(x)

= (x-3/x)(5x-4)

(f·g)(x)= 5x²-15-4x+12/x

Find the domain by finding where the expression is defined.

Interval Notation: (-∞,0)∪(0,∞)

Set-Builder Notation:{x|x≠0}

Therefore, the domain of the composite function (f·g)(x) in interval notation is (-∞,0)∪(0,∞).

To learn more about the domain and range visit:

brainly.com/question/28135761.

#SPJ7

Answer:

The t distribution can be used when finding a confidence interval for the population mean whenever the sample size is small.

Hence, the correct option is A.

To estimate the population mean we use a t-distribution to calculate the confidence interval. When we use a t-distribution the sample standard deviation is used to estimate the population standard deviation

Answer:

1/4 he

Step-by-step explanation:

Answer:

1/4 hour

Step-by-step explanation:

convert 2 km to m

1 km = 1000m

2 km = 2*1000 m

=2000 m

distance                                                            time taken

2000 m                                                                   1 hour

500 m                                                                          let be x

2000/500 = 1/x

do cross multiplication

500*1 = 2000*x

500/2000 = x

1/4 = x

Let

We know that in a rectangle

☆ Perimeter=2(Length+Breadth)

[tex]\\ \sf\longmapsto 2(x+2x)=432[/tex]

[tex]\\ \sf\longmapsto 2x+4x=432[/tex]

[tex]\\ \sf\longmapsto 6x=432[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{432}{6}[/tex]

[tex]\\ \sf\longmapsto x=72[/tex]

[tex]\\ \sf\longmapsto 2x=2(72)=144[/tex]

☆Area=Length×Breadth

[tex]\\ \sf\longmapsto Area=144\times 72[/tex]

[tex]\\ \sf\longmapsto Area=10368cm^2[/tex]

Answer:

b

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 1 is an exterior angle of the triangle , then

∠ 1 = 30° + 39° = 69°

Answer:

option b:  69°

Step-by-step explanation:

the sum of the interior angles of a triangle is 180c.

that is, 39 + 30 + x = 180

                          x = 180 - 39 - 30

                          x = 111°

∠ 1 + x = 180°            [ straight line angles ]

∠1 + 111° = 180°

∠1 = 180 - 111 = 69°

Answer:

Any real number.

Step-by-step explanation:

I dunno what you're asking, but Im assuming you need what a equals to.

[tex]a+5(2a-1)+3=11a-2\\a+10a-5+3=11a-2\\11a-2=11a-2\\[/tex]

The answer is any real number.

Answer:

138 Degrees

Step-by-step explanation:

Because it is adjacent to the 42 degrees, just subtract 42 from 180 to get 138 degrees.

Answer:

D+42*=180*

D=180-42

138

Step-by-step explanation:

mark as brainiest please

Answer:

solution,

x+41+59=180⁰ ( the sum of total angle of triangle is 180⁰)

or, x+ 100=180

or, X=180-100

so , X=80

Step-by-step explanation:

let us check

59+41+80=180

Answer:

definantly 3/2

Step-by-step explanation:

perpendicular means same slope

Answer:

actually what is this is you is this a geometry, trigonometry I don't know what to call

Answer:

positive slope

Step-by-step explanation:

when a graph is sloping to the right it means it has a positive . the gradient of this straight is positive .

gradient of the line is greater than 0

The slope of the line is m = 2

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

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 3 )

Let the second point be Q ( 0 , 1 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 3 - 1 ) / ( 1 - 0 )

m = 2

Therefore , the value of m is 2

Hence , the slope is 2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

Answer:

x^2-2x-13

Step-by-step explanation:

f(x) = 2x-5

g(x) = x^2 -4x-8

f(x) +g(x) = 2x-5 +  x^2 -4x-8

Combine like terms

              = x^2+2x-4x-5-8

               =x^2-2x-13

Answer:

It depends on the equations and the variables.

Example of an equation in 2 variables with infinitely many solutions:

sin2x - cos2y + cos2x - sin2y = 0

Example of an equation in 1 variable with 2 solutions:

(x - 1)(x - 2) = 0

Example of 2 equations in 2 variables with no solution:

The intersection of the lines given by

y = 3x + 1

y = 3x + 2

Example of an equation in 1 variable with 1 solution:

5x - 4 = 15

Example of an equation in 1 variable with no real solution:

x2 + 49 = 0

We can go on and on with examples like this. The question is way too general.

Step-by-step explanation:

please mark as brainliest

please mark as brainliest

Answer:

Does this seem right to you?

Answer:

(4, -4)

Step-by-step explanation:

Using the midpoint formula;

M(X,Y) = {(ax1+bx2)/a+b, (ay1+by2)/a+b}

X = (ax1+bx2)/a+b

Y = (ay1+by2)/a+b

Substitute

X = 4(2)+2(8)/4+2

X = 8+16/6

X = 24/6

X = 4

Also

Y = 4(-3)+2(-6)/6

Y = -12-12/6

Y = -24/6

Y = -4

Hence the required partition is (4, -4)

Answer:

5

Step-by-step explanation:

here,  the highest degree is 5 so the degree of polynomial is also 5.

I am math lover .Before I am also not too fond of math , but if you practiced it will be easy and you loves to do maths and your interest will increase .Sorry for late Answer of attachment will be 5190.

hope it is helpful to you

Answer:

your answer will be 5,190

Step-by-step explanation:

fist you have to subtract 80 from 599 and u will get 519 then you multiply to get the answer

I am also not so good in Math so I still try to help u

Answer:

slope = 4/3

Step-by-step explanation:

(-1 , 1) = (x1 , y1)

(2 , 5) = (x2 , y2)

slope (m) = y2 - y1/x2 - x1

=5 - 1/2 - (-1)

=4 /2+1

=4/3

9514 1404 393

Answer:

  D'(4, 0)

Step-by-step explanation:

  (x, y) ⇒ (x +3, y -2)

  D(1, 2) ⇒ D'(1+3, 2-2) = D'(4, 0)

Answer:

√10 = 3.16

Step-by-step explanation:

using calculator

√10 = 3.162277660168379

Hundredths is the second decimal place.

Since the next decimal place is less than 5

there is no need to round up

√10 = 3.16

Answer:

AO

Step-by-step explanation:

Answer:

6 degrees

Step-by-step explanation:

[tex] - 4 + 10 = 6[/tex]

Answer:

6 degrees

Step-by-step explanation:

Answer:

as x --> oo, f(x) = oo (infinite)

as x -- -oo, f(x) = 3

Given:

Focus of the parabola = [tex]\left(-\dfrac{1}{4},-\dfrac{2}{3}\right)[/tex]

Directrix of the parabola is [tex]y=\dfrac{3}{4}[/tex].

To find:

The equation of the parabola.

Solution:

The equation of the parabola is:

[tex](x-h)^2=4p(y-k)[/tex]             ...(i)

Where, (h,k) is vertex, (h,k+p) is focus and [tex]y=k-p[/tex] is the directrix.

It is given that the focus of the parabola is at [tex][/tex].

[tex](h,k+p)=\left(-\dfrac{1}{4},-\dfrac{2}{3}\right)[/tex]

On comparing both sides, we get

[tex]h=-\dfrac{1}{4}[/tex]

[tex]k+p=-\dfrac{2}{3}[/tex]            ...(ii)

Directrix of the parabola is [tex]y=\dfrac{3}{4}[/tex]. So,

[tex]k-p=\dfrac{3}{4}[/tex]             ...(iii)

Adding (ii) and (iii), we get

[tex]2k=-\dfrac{2}{3}+\dfrac{3}{4}[/tex]

[tex]2k=\dfrac{-8+9}{12}[/tex]

[tex]k=\dfrac{1}{12\times 2}[/tex]

[tex]k=\dfrac{1}{24}[/tex]

Putting [tex]k=\dfrac{1}{24}[/tex] in (ii), we get

[tex]\dfrac{1}{24}+p=-\dfrac{2}{3}[/tex]

[tex]p=-\dfrac{2}{3}-\dfrac{1}{24}[/tex]

[tex]p=\dfrac{-16-1}{24}[/tex]

[tex]p=\dfrac{-17}{24}[/tex]

Putting [tex]h=-\dfrac{1}{4},k=\dfrac{1}{24}, p=-\dfrac{17}{24}[/tex] in (i), we get

[tex]\left(x-(-\dfrac{1}{4})\right)^2=4\left(-\dfrac{17}{24}\right)\left(y-\dfrac{1}{24}\right)[/tex]

[tex]\left(x+\dfrac{1}{4}\right)^2=-\dfrac{17}{6}\left(y-\dfrac{1}{24}\right)[/tex]

[tex]x^2+2(x)(\dfrac{1}{4})+(\dfrac{1}{4})^2=-\dfrac{17}{6}\left(y-\dfrac{1}{24}\right)[/tex]

[tex]-\dfrac{6}{17}\left(x^2+\dfrac{1}{2}x+\dfrac{1}{16}\right)=y-\dfrac{1}{24}[/tex]

On further simplification, we get

[tex]-\dfrac{6}{17}(x^2)-\dfrac{6}{17}(\dfrac{1}{2}x)-\dfrac{6}{17}(\dfrac{1}{16})=y-\dfrac{1}{24}[/tex]

[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x-\dfrac{3}{136}+\dfrac{1}{24}=y[/tex]

[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{-9+17}{408}=y[/tex]

[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{8}{408}=y[/tex]

[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{1}{51}=y[/tex]

Therefore, the equation of the parabola is [tex]y=-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{1}{51}[/tex]. Hence, the correct option is C.

Answer:

Step-by-step explanation:

Let one number = x

Let the other number = y

x + y = 124

You can't go any further than that without more information.

The good news is that no number is excluded.

x = 248

y = -124 for example

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

╭⋟───────────────

Sentence ⇻ The product of - 11 & - 7 gives 77.

Equation ⇻ [tex]\boxed{-11(-7)=77}[/tex].

───────────────⋞╯

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] RainbowSalt2^{2}2^{2}[/tex] ❦

Answer:

-11(-7) = 77

Step-by-step explanation:

"and" = multiplication sign in maths

Answer:

Chemistry Books- 203 and Biology Books- 158

Step-by-step explanation:

I'm not sure myself how I did it since I don't have an exact method but I can guarantee that the answer is correct. (Quick sum-up of what I kinda did though. Divide both numbers by 2, then added (22, about half of 45), add 180 (about half of 361) and then subtracted 202 from 361. Realized that it was one off so I just made it 203 and 158)

Sorry for the mess of an explanation but hope it helps!