Solve the inequality 31<3x + 4

Answer:

1

Step-by-step explanation:

The average rate of change is the gradient _

Gradient = Rise / Run = (y2 - y1) / (x2 - x1)

From the table ;

x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0

Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1

we learned this in our lower i dont remember exactly but i think~

the probability that it will land on an even number will be 3 as there are 3 odd number and 3 even number

Answer:

1/2

Step-by-step explanation:

n(E) = 9

n(S) = 18

p(E1) = [tex]\frac{n(E1)}{n(S)}[/tex]

=9/18

=1/2

Answer:

5/8

Step-by-step explanation:

Find the common ratio by dividing one of the numbers in the sequence by the previous one:

480/768

= 0.625

Convert this to a fraction:

0.625

= 5/8

So, the common ratio is 5/8

Answer:

(2x + 35)/3

Step-by-step explanation:

f(2x + 3) = 3x - 8

= 3(2x)/2 - 8

= 3(2x + 3 - 3)/2 - 8

= 3(2x + 3)/2 - 3(3)/2 - 8

= ( 3(2x + 3) - 25)/2

Therefore, f(x) = (3x - 25)/2

Let f(x) = (3x - 25)/2 = y

Therefore,

x = (2y + 35)/3 = f(y)

Hence,

f-¹(x) = f(y) = (2y + 35)/3

Just by merely replacing y,

f-¹(x) = (2x + 35)/3

Answer:

Step-by-step explanation:

[tex]let~g(x)=2x+3,~ then~f\circ g(x)=f(g(x)=3x-8\\\\[/tex]

lets assume that f(x) is a line, so f(x)=mx+b

[tex]f(g(x))=m(2x+3)+b=2mx+3m+b=3x-8[/tex]

the follow equation system results:

[tex]2m=3 \\ 3m+b=-8[/tex]

[tex]m=\frac{3}{2}\\\\b=-\frac{25}{2}[/tex]

finally:

[tex]y=f(x)=\frac{3}{2}x-\frac{25}{2}[/tex]

now is time to calculate the inverse function:

[tex]y=\frac{3}{2}x-\frac{25}{2}=>2y+25=3x=>x=\frac{2}{3}y+\frac{25}{3}[/tex]

so

[tex]f^{-1}(x)=\frac{2}{3}x+\frac{25}{3}[/tex]

Answer and Step-by-step explanation:

Simply solve for x (very easy to do).

4x + 9 = 41

Subtract 9 from both sides of the equation.

4x = 32

Divide both sides of the equation by 4.

x = 8

x is equal to 8.

#teamtrees #PAW (Plant And Water)

Answer:

4.The data has a strong linear association.

Step-by-step explanation:

The correlation coefficient is used to determine how related points in a data set are. The coefficient is always in between 0 and 1 (or negative 1 and 0), with 0 being not related and 1 being completely related. So, the closer the coefficient is to 1 (or -1) the stronger the association. Since 0.85 is close to 1 it can be said that the data has a strong linear association.

Answer:

b+23≥-276

b≥-276-23

b≥-299

Step-by-step explanation:

hope this is helpful

Assuming the region is of uniform density, compute the mass of the region and its moments.

If n > m, then in the interval [0, 1] we have f(x) ≤ g(x). This means the mass is

[tex]M=\displaystyle\int_0^1(g(x)-f(x))\,\mathrm dx=\left(\frac{x^{m+1}}{m+1}-\frac{x^{n+1}}{n+1}\right)\bigg|_0^1=\frac1{m+1}-\frac1{n+1}[/tex]

The moments are

[tex]M_x=\displaystyle\int_0^1\frac{g(x)^2-f(x)^2}2\,\mathrm dx=\frac12\left(\frac{x^{2m+1}}{2m+1}-\frac{x^{2n+1}}{2n+1}\right)\bigg|_0^1=\frac12\left(\frac1{2m+1}-\frac1{2n+1}\right)[/tex]

[tex]M_y=\displaystyle\int_0^1x(g(x)-f(x))\,\mathrm dx=\int_0^1(x^{m+1}-x^{n+1})\,\mathrm dx=\left(\frac{x^{m+2}}{m+2}-\frac{x^{n+2}}{n+2}\right)\bigg|_0^1=\frac1{m+2}-\frac1{n+2}[/tex]

Then the centroid is

[tex](\overline x,\overline y)=\left(\dfrac{M_y}M,\dfrac{M_x}M\right)=\boxed{\left(\dfrac{(m+1)(n+1)}{(m+2)(n+2)},\dfrac{(m+1)(n+1)}{(2m+1)(2n+1)}\right)}[/tex]

Answer:

The answer is B--> 111 degrees

Answer:

Here

X=75+36(Exterior angle of a triangle is equal to sum of interior opposite angle)

X=111

Answer:f(g)=2

Step-by-step explanation:

Answer:

[tex]P=16ft[/tex]

Step-by-step explanation:

From the question we are told that:

Diameter [tex]d=16ft[/tex]

Depth [tex]dp=1ft[/tex]

Generally the equation for a Parabola is mathematically given by

 [tex]y=ax^2[/tex]

Since of the parabola has

Diameter [tex]d=16ft[/tex]

Depth [tex]dp=1ft[/tex]

Therefore it passes through

 [tex]x=(8,1)[/tex]

Therefore

 [tex]1=a(8)^2[/tex]

 [tex]a=\frac{1}{64}[/tex]

Since P(distance from focus to the vertex)

 [tex]a=\frac{1}{4p}[/tex]

Substituting

 [tex]\frac{1}{64}=\frac{1}{4p}[/tex]

 [tex]P=16ft[/tex]

Answer:

D

Step-by-step explanation:

The figures are the same just flipped. We can tell AD=NM ON=AB, BC=OP. Thus DC =MP

DC has the length of 6 and because MP is congruent to DC it also has 6.

Aspongebob at the bottom of the sea

Step-by-step explanation:

In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.

Answer:

Step-by-step explanation:

anything  1-6

Answer:

C

Step-by-step explanation:

8×26×6=1200 cubic centimeters

hence, C is the closest

Answer:

c = (ef-ab)/d

Step-by-step explanation:

ab+cd = ef

Subtract ab from each side

ab+cd -ab = ef-ab

cd = ef-ab

Divide by d

cd /d =(ef-ab)/d

c = (ef-ab)/d

Answer: c) tan x = 43/18

Step-by-step explanation:

Tan = Toa = Opposite/Adjacent

Answer:

900,900 outcomes are possible.

Step-by-step explanation:

Arrangements with repetition:

The number of possible arrangements of n elements, considered that they are divided in classes of [tex]n_1,n_2,...,n_n[/tex] elements, is given by:

[tex]A = \frac{n!}{n_1!n_2!...n_n!}[/tex]

A dancing competition has 13 competitors

This means that [tex]n = 13[/tex]

Four are American, two are Mexicans, four are Russians and three are Italians.

This means that [tex]n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3[/tex]

How many outcomes are possible?

[tex]A = \frac{13!}{4!2!4!3!} = 900900[/tex]

900,900 outcomes are possible.

Answer:

1/12

Step-by-step explanation:

The first time the person picks a magazine, they have a 5/10 chance of drawing an architecture magazine.

The second time, they have a 4/9 chance because they have already removed one magazine from the bookshelf

The third time, they have a 3/8 chance because they have already removed 2 magazines.

Multiply all of the probabilities together

5/10 * 4/9 * 3/8 = 60/720

Simplify:

60/60 / 720/60 = 1 / 12

Hope this helps!

Step-by-step explanation:

the third number is 17 thank you very much please mark me the brainliest you can calculate the answer by supposing the number as one of the variables I supposed it as X so similarly similarly making it as an equation the equation will be 25 is equal to 18 + 40 + X by 3 similarly when you solve the equation you get the answer thank you please mark me the brainliest thank you

The third number is 17

Average

The average of numbers is the mean value of the numbers

The given parameters are:

Assume the third number is x

So, the average is calculated as:

[tex]Average = \frac{\sum x}{3}[/tex]

This gives

[tex]\frac{18 + 40 + x}{3} = 25[/tex]

[tex]\frac{58 + x}{3} = 25[/tex]

Multiply both sides by 3

[tex]58 + x = 75[/tex]

Subtract 58 from both sides

[tex]x = 17[/tex]

Hence, the third number is 17

Read more about average at:

https://brainly.com/question/20118982

Answer:

x = 80

Step-by-step explanation:

The sum of the angles of a triangle is 180

30+70+x = 180

100 +x = 180

x = 180-100

x = 80

ratio of medium shirts to large shirts

63/27

=7:3 [Ans]

Answer:

Step-by-step explanation:

Ynw melly.lil uzi vert, pop smoke

Answer:

min yoongi, jung hoseok, kim namjoon

Step-by-step explanation:

heh.

Answer:

Step-by-step explanation:

20/5=4

as both the diagrams are similar.

so area of ABCD=4² ×area of EFGH=16×40=640 sq.cm.

Answer:

after 4 rule violations he will recieve -100 points. so if total points is 100, then the driver gets 0 points

Answer:

ASA

Step-by-step explanation:

they share the side in the middle (reflexive property) and have two congruent angles

Answer:

$14,386.25

Step-by-step explanation:

3 is half of 6, so the price for 3 would be half the price of 6 books.

480/2 = 240

The price for 3 books is 240

Answer:

[tex] \large{ \tt{❃ \: STEP - BY - STEP \: EXPLANATION : }}[/tex]

[tex] \large{ \tt{↦ \: PRICE \: OF \: 1 \: BOOK = \frac{480}{6} = \boxed{ \tt{Rs \: 80}}}}[/tex]

[tex] \large{ \tt{↦ \: PRICE \: OF \: 3 \: BOOK = 80 \times 3 = \boxed{ \boxed{ \tt{Rs \: 240}}}}}[/tex]

[tex] \large{ \boxed{ \boxed{ \tt{⇝ \: OUR \: FINAL \: ANSWER : \boxed{ \underline{ \tt{Rs \: 240}}}}}}}[/tex]

✺ Procastinating ? - There are millions of people out there crying to get one more chance ! ♪

[tex] \large{ \mathfrak{ \# StayInAndExplore \:! \: ☂}}[/tex]

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Here is one:                                                         PEMDAS

12- ( 6 + 3) - 19 x 1 divided by 1

I hope this helps

9514 1404 393

Answer:

  5x +2y = 20

Step-by-step explanation:

Suppose 'a' is the x-intercept of the line.

Then the slope is given by the slope formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (0 -5)/(a -2)

And the y-intercept is ...

  b = y -mx = 5 -(-5/(a-2))(2) = 5 +10/(a -2)

The area of the triangle is half the product of 'a' and 'b', so is ...

  A = 1/2ab

  A = 1/2(a)(5 +10/(a -2)) = 2.5a +5a/(a-2)

The area is minimized when the derivative of this is zero.

  A' = 2.5 -10/(a -2)^2 = 0

Solving for 'a' gives ...

  (a -2)^2 = 10/2.5 = 4

  a = 2 + 2 = 4 . . . . . . . . . . . x-intercept

  b = 5 +10/(4 -2) = 10 . . . . . y-intercept

  m = -5/(4 -2) = -5/2 . . . . . . slope

An equation of the line is ...

  y = -5/2x +10 . . . . . slope-intercept form

  5x +2y = 20 . . . . . standard form

__

You may have noticed that the x-and y-intercepts are double the x- and y-values of the given point. That is, the given point is the midpoint of the hypotenuse of the triangle with minimum area. That is the general solution of this sort of problem.

Answer:

7 × 5 :2 it is the answer ,i love you