Find the inverse function for: f(x)=5x-15
Reduce your answer
F-1(x)=x/?+?

The Geometric mean of 36 and 48 is [tex]24\sqrt{3}[/tex].

Geometric Mean between two numbers is defined as the Square root of the product of those two numbers .

For Example ; let a and b be two numbers , their geometric mean will be

GM=[tex]\sqrt{a*b}[/tex]

In the given question

a=36 and b=48

Substituting the values in the Geometric mean formula we get .

[tex]GM=\sqrt{36*48} \\ \\ =\sqrt{1728} \\ \\=24\sqrt{3}[/tex]

Therefore , the Geometric mean of 36 and 48 is [tex]24\sqrt{3}[/tex].

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Answer: S=93 m²

Step-by-step explanation:

Divide the figure into two rectangles:

1)

S=(3)(11+4)+(12)(4)

S=(3)(15)+48

S=45+48

S=93 m²

2)

S=(3)(11)+(4)(12+3)

S=33+(4)(15)

S=33+60

S=93 m²

7 discs can he make from a metal post that measures 1/3 foot in length.

Using a tool with disks rather than teeth or shovels to cultivate or harrow the ground.

Samuel needs to make a 4/7-inch disc out of a foot is 4 inches

A metal post =1/3foot×(12 inch/1 foot)

= 12/3

=4

Samuel needs to make a 4/7inch disc out of1/3foot metal post.

One third of a foot is 4 inches

⇒4÷4/7

⇒ Is the same thing as

⇒4×7/4

The 4 cancel out so that’s how you get 7

⇒ 7

A moldboard or plow shovel that is occasionally used in place of a round, thin steel plate that is typically dished.

Therefore, Samuel cuts 4/7 discs of metal can be he make from a metal post that measure 1/3 foot in length is 7 discs.

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7 discs can he make from a metal post that measures 1/3 foot in length.

Using a tool with disks rather than teeth or shovels to cultivate or harrow the ground.

Samuel needs to make a 4/7-inch disc out of a foot is 4 inches

A metal post =1/3foot×(12 inch/1 foot)

= 12/3

=4

Samuel needs to make a 4/7inch disc out of1/3foot metal post.

One third of a foot is 4 inches

⇒4÷4/7

⇒ Is the same thing as

⇒4×7/4

The 4 cancel out so that’s how you get 7

⇒ 7

A moldboard or plow shovel that is occasionally used in place of a round, thin steel plate that is typically dished.

Therefore, Samuel cuts 4/7 discs of metal can be he make from a metal post that measure 1/3 foot in length is 7 discs.

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Not mutually exclusive.  If a triangle is equilateral, it is also equiangular.

Which of these triangles has equal sides?

Any two sides that are equal have equal opposite angles since every equilateral triangle is likewise an isosceles triangle.

As a result, because an equilateral triangle has equal lengths on each of its three sides, its three angles are also equal.

As a result, every equiangular triangle is an equilateral triangle.

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Answer:

n = 8

Step-by-step explanation:

any term in a Fibonnacci sequence is found by adding the previous 2 terms.

that is x₃ = x₁ + x₂

using this to continue the sequence

1, 1, 2, 3, 5, 8, 13, 21, 34, 55 with a₁₀ = 55

so

x₈ + x₉ = x₁₀

compare to [tex]x_{n}[/tex] + [tex]x_{n+1}[/tex] = 55

with n = 8

Answer:

0.02 = 2/100 = 1/50 (simplified answer)

Hope this helps :)

Explanation below.

Step-by-step explanation:

1. The 2 ends in the hundredths place, so we place that over 100.

0.02 = 2/100

2. 2/100 can be simplified with the Greatest Common Factor of 2 and 100 which is 2. So divide 2 on the numerator and denominator.

2/100 = 1/50

Answer:

Step-by-step explanation:

has 25 sections of seating

The value of x and y given in this graph is

x = 75 degree

y = 110 degree

According to the given data,

x +10 +20 = 180 °

2x +30 = 180 °

2x = 150 °

x = 75 °

because line m ║ line n

so ∠OMP = x + 20 = 95 °

so in MONP = x + 10 + x + 20 +[tex]\int\limits^[/tex] +[tex]\int\limits^[/tex] - 40 = 360 °

                    ⇒ 180 +2 [tex]\int\limits^[/tex] - 40 = 360 °

                    ⇒  2 [tex]\int\limits^[/tex]- 40 = 180 degree

then we get the value of  [tex]\int\limits^[/tex] ,

                   ⇒ 2 [tex]\int\limits^[/tex] = 220 degree

                    ⇒  [tex]\int\limits^[/tex]= 110 °

Parallel lines can be defined as two lines in the same row or column that are at equal distance from each other and never touch or cross each other. They can be either horizontal or vertical.

We can see parallel lines in geometry, sides of various shapes are parallel to each other in it . Such as in the rectangle, the single arrow lines are parallel to each other, and similarly, we get the double arrow lines are also parallel to each other.

Parallel lines are show with a pair of vertical or horizontal lines between the mid part of the lines, using this sign: ︳︳

A transversal is a line that intersects two parallel lines (or lines of side) at different intersecting points, forming angles.

Parallel lines can be easily identified using the following basic properties and characteristics:

Parallel lines are always have straight lines with an equal distance between each other.

They are coplanar lines.

They never intersect, like transversal.

If there is a transversal line that show two parallel lines at two different points, it will structure 4 angles at each point.

The corresponding angles structured by the two parallel lines and a transversal are equal.

Linear equations are generally represents by the slope-intercept represented by the equation .

In Parallel lines where “m” is the slope, “b” is the y-intercept, and x and y are variables.

The value of “m” determines the slope and show the steep slope of the line.

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Most table tops are square, rectangular, or circular.

Will they have enough money for their trip?Yes.They will have $1407.35

If not, how much more do they need?

Given:

a1 = $125

r = 1.25

n = 6(march-august)

[tex]S_n=\frac{a(1-r^{n})}{1-r} \\\\S_6=\frac{125(1-(1.25)^{6})}{1-1.25}\\\\S_6=1407.35[/tex]

The family will have $1407.35 after making the final deposit in August.

So, they will have enough money for their trip.

They have an additional amount of $32.35 ($1407.35-$ 1375)

What is a geometric sequence?

The complete question is:

In March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cost $ 1375 . They start with $125 . Each month they plan to deposit 25% more than the previous month. Will they have enough money for their trip? If not, how much more do they need?

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Answer:

-4.7

Step-by-step explanation:

25.85÷ -5.5

by changing the fraction to a decimal, just do regular long division

There are 534 played games in total.

There are 24 teams, and each team plays 2 matches against each one of the other teams.

So, let's say that each team is called team 1, team 2, team 3, ..., team 24.

If we start with team 1, they will play 2 games with each one of the other 23 teams, so here we will have: 23*2 = 46 games.

Now we go to team 2, we already counted the 2 games that the played with team 1, so we only look at the remaining 22 teams, here we will have:

22*2 = 44 more games.

Now with team 3, there are 21 teams remaining, so here we add another 2*21 = 42 games

And so on, now we do that for all the teams and then add all the numbers of games, the total number of games will be given by:

N = 2*(23 + 22 + 21 + ... + 2 + 1) = 534

There are 534 played games in total.

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This is the explanation

Probability that Julio will see the ad again during his favorite 30-minute sitcom the next day as ad replays at a random time in each 3 hours interval is 1/6.

As given,

Ad replays at a random time in each 3- hour interval

Julio will watch again during his favorite 30 minutes sitcom

Six times 30 minutes is equals to  3 hours

Ad can appear in any of the six slots of 30 minutes

Probability of watching ad again during his favorite 30 minutes sitcom

=1/6

Therefore, probability of watching ad again during his favorite 30 minutes sitcom is 1/6.

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Two vectors, one of the length 490 and uncertain direction, and the other 50 in the direction southeast.

In what direction should the plane head to end up going due east?

Two vectors, one of the length 490 and uncertain direction, and the other 50 in the direction southeast.

From the diagram, we can deduce that the y component of the wind is [tex]\frac{50}{\sqrt{2} }[/tex].

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Answer:

Area of a trapezium = 1 (a+b)h

2

A = 1 (6+21) × 8

2

A = 1 × 27 × 8

2

A = 27 × 4

A = 108

-20

step by step explanation :

[tex] - 2( { - 6})^{2} - 5( - 6) + ( { - 6})^{2} + 4 + 3( - 6)[/tex]

[tex] - 72 + 30 + 36 + 4 - 18 = - 20[/tex]

The probability that they would spell TRAINS is 1/720.

Probability:

Probability refers the fraction of favorable event by the total number of event.

Given,

A bag contains one tile for each letter of the word TRAINS.

Here we need to find If we selected a permutation of these letters at random, what is the probability that they would spell TRAINS.

We know that,

There are 6 letters in the word and the number of arrangements is the permutation of 6 taken 6 at a time.

So, it is written in permutations as,

=> 6! = 720.

The total number of possible outcomes is 720 and there is only one favorable outcome which is TRAINS.

Therefore, the probability is written based on the formula as,

=> 1/720.

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As a single inequality, we can write the solution of the given compound inequality as → x ≥ 8.

There are two types of inequalities -

Strict inequalities : The inequalities that have < or > symbol between the L.H.S and R.H.S.

Slack inequalities : The inequalities that have ≤ or ≥ symbol between the L.H.S and R.H.S.

Given in the question are two inequalities as mentioned below -

-2x - 3 < -1   and   -2x - 3 ≤ -11

In this question → -2x - 3 < -1 is a strict inequality and -2x - 3 ≤ -11 is a slack inequality. We will solve them one by one.

Inequality - 1

- 2x - 3 < - 1

Add 3 on both sides -

- 2x - 3 + 3 < - 1 + 3

- 2x < 2

Multiply by -1/2 on both sides -

x > - 1

Inequality - 2

-2x - 3 ≤ -11

Add 3 on both sides -

-2x ≤ -8

Multiply by -1 on both sides -

2x ≥ 8

Divide by 2 on both sides -

x ≥ 8

Now, we have two inequalities -

x > - 1    and     x ≥ 8

We can write it as one equality -

x ≥ 8

Therefore, as a single inequality, we can write the solution of the given compound inequality as → x ≥ 8.

[Graph is attached at the end]

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In Δ SZU, UJ = 9, VI = 3 , and ZT = 18 then the value of SV = 9.

The triangle's centroid is the point where the three medians intersect. According to the centroid theorem, the centroid is 23 times the distance from each vertex to the midpoint of the opposite side.

The centroid has the unique property that the distance from a vertex to the centroid is twice that of the distance from the centroid to the midpoint of the side opposite that vertex for each median. In addition, the three medians of a triangle divide the triangle into six equal-area regions.

Given: In Δ SZU, UJ = 9, VI = 3 , and ZT = 18 .

Since ZV ≅ VU, Y is the midpoint of UZ and SV is a median of Δ ZSU. Similarly, points Y and T are also midpoints of SZ and SU, respectively, so YU and ZT are also medians. Therefore, point J is the centroid of

Δ ZSU and, according to the Centroid Theorem, SJ is 2/3 of SV.

SJ = 2/3 (SV)

= 2/3 (SJ + VJ)

simplifying the above equation, we get

(3SJ/2) - SJ = VJ

SJ/2 = 3

SJ = 4.5

Therefore, to find SV, we can now add SJ and VJ

SV = SJ + VJ

= 6 + 3

= 9

Therefore, the value of SV = 9.

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5a= -1 a=

[tex]\frac{b}{-3} = -15 b=

-14+c = -12.5 c=

Answer:

7778107864

Step-by-step explanation:

The statement is sometimes true.

The given statement is ' The geometric mean for two positive integers is another integer.'

Geometric mean of two integers is the square root of their product.

If a and b are two integers, then geometric mean = [tex]\sqrt{ab}[/tex]

Its value need not be an integer always. In some cases the statement fails.

For example, let a = 3 and b = 6

Then geometric mean = [tex]\sqrt{3 \times 6} = \sqrt{18}[/tex] = 4.24, which is not an integer.

Now if a and b are equal numbers, we will get an integer as the geometric mean. Because then their product will be a perfect square and taking square root, we get the same number as the geometric mean.

Also consider a = 9 and b = 4

Then their geometric mean = [tex]\sqrt{36}[/tex] = 6

So sometimes the statement is true but not always.

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the two horizontal lines are parallel and intersected by the same third line at the same angle

Answer:      8.1 g/cm  

Step-by-step explanation:

Density is equal to mass divided by volume. You are given a mass of

64.7

grams. You can find the volume of the cube by doing height multiplied by width multiplied by the depth.

Because all of the sides of a cube are the same length, the volume just ends up being

(2 cm) = 8 cm

Now plug both of those numbers into your density equation

p= m/v = 64.7 g/8 cm = 8.1 g/cm

~Hope this helps ;0~

Answer:

[tex]2.11 \: \: gram \: per \: cm {}^{3}[/tex]

The density is 2.11 g/cm^3

Step-by-step explanation:

Density is the ratio of the mass of a body per volume. To find density we need mass and volume.

side given (l) =6 cm

Volume of the cube = l^3

= 6^3

= 6 * 6 * 6

= 216 cm^3

we have mass = 457 g

Now,

density= mass/volume

= 457/216

=2.11

Soo, the density is 2.11 g/cm^3

Answer:

8

Step-by-step explanation:

maths go brrrrrrrrrrr

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

-∞ < x < ∞.

The domain of a function is the set that contains all the values of the input. In a graph, it is the set that contains all values of x of function.

In this problem, the function is defined for all real values of x, as it keeps increasing to left and right, hence the domain of function m is given as follows:

-∞ < x < ∞.

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Answer: 16:35 16 bannas to 35 apples

Step-by-step explanation:

PLs mark brainlist