Which function is the inverse of f(x) = 2x + 3?

Answer:

1.37

Step-by-step explanation:

First, we want to isolate the variable x. Do this by dividing both sides by 9:

[tex]\frac{9x^2}{9} =17/9[/tex]

[tex]x^{2} =17/9[/tex]

Now, square root both sides:

[tex]\sqrt{x^2}= \sqrt{17/9}[/tex]

x = [tex]\sqrt{17/9} =\sqrt{17}/3[/tex]

Finally, we can use a calculator to finish off the problem:

x = [tex]\sqrt{17}/3[/tex] ≈ 1.37

Hope this helps!

9x^2 = 17

Divide both sides by 9

X^2 = 17/9

Take the square root of both sides

X = sqrt(17/9) and -sqrt(17/9)

Simplify:

X = sqrt(17)/3 and -sqrt(17)/3

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Answer:

The second rectangle on edg

Step-by-step explanation:

Answer: B.) (2nd choice)

h=1.5

w=1

l=2.6

Step-by-step explanation:

Answer: The sales price was $83,725

Step-by-step explanation: The commission rate for selling the property has been given as 6 percent of the sales price.

If the salesperson received a total of 3265.28, (which is 25% + 40% = 65% of the commission) then that means he has received the amount calculated  as follows;

(3265.28/x) = 65/100

(Where x is the commission earned)

By cross multiplication we now have

(3265.28 x 100)/65 = x

5023.5 = x

Having calculated the commission as $5023.5, we remember that the commission rate is 6%, and hence, to calculate the sales price (which is 100%) we take the following steps;

(5023.5/y) = 6/100

(Where y is the total sales figure)

By cross multiplication we now have

(5023.5 x 100)/6 = y

83725 = y

Therefore, the sales price was, $83,725

To find the sales price of a property based on the commission received, divide the commission earnings by the percentage commission for selling the property, then divide that total by the overall commission rate. Rounding to the nearest dollar, the sales price was $136,053.

The subject of this question is Mathematics, specifically pertaining to business and commission calculations. The problem involves determining the sales price of a property based on the commission received by a salesperson.

Hence, the sales price of the property was $136,053.

Answer:

Circle's area = 28,26 km

Formula = π r²

Step-by-step explanation:

[tex]circle's \: \: area = \pi \: {r}^{2} \\ circle's \: \: area = 3,14 \times {3}^{2} \\ circle's \: \: area = 28,26 \: km \\ circle's \: \: area = 28.260 \: m[/tex]

Answer: There were 220 robberies in Springfield in 2010

Step-by-step explanation: If the robberies were reported to be down 20% and the new figure is 176, it simply means the figure 176 depicts 80% (or 0.8) of the figure from year 2010.

We shall take the figure in year 2010 as x, which is 100% (or 1.0) and year 2011 is 176 which is 80% (or 0.8). What we now have is;

176/x = 0.8

176/x = 4/5

By cross multiplication we now have;

(176 x 5)/4 = x

880/4 = x

220 = x

Therefore, there were 220 robberies in Springfield in 2010

Answer: There were 220 robberies in Springfield in 2010.

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given.

Since the robberies decreased 20%, it means that 2011 are robberies are the 80% (100%-20%) of the 2010 robberies (x).

So if we multiply the yearly robberies in 2010 (x) by 0.8 (decimal form, 80/100=0.8) , we obtain the number of yearly robberies in 2011 (176).

x (0.80) = 176

Solving for x

x = 176/0.8

x = 220  robberies (2010)

Jamie has 9 possible combinations for breakfast based on her choices of 3 different foods and 3 different drinks.

The subject of the question is in the field of probability in mathematics. The question is asking for the total number of outcomes or combinations possible given Jamie's breakfast choices. Jamie can choose from 3 foods (cereal, eggs, muffin) and 3 drinks (coffee, orange juice, milk).

To find the total number of outcomes, you multiply the total number of options in each category. In this case, it would be 3 (food choices) multiplied by 3 (drink choices), which sets the total possible outcomes to be 9.

Therefore, Jamie has 9 possible combinations for her breakfast choice.

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A quadrilateral is a polygon with 4 number of sides and 4 vertices. The measure of the ∠X is 104°.

A quadrilateral is a polygon with 4 number of sides and 4 vertices. A few examples of a quadrilateral are square, rectangle, rhombus, parallelogram, etc.

Given a scenic overlook which extends over a ravine is shaped like a kite. Since in a kite the measure of all the angles is 360°, also, the measure of the angle formed by the two non-equal sides is equal. Therefore, the measure of the two angles that will be equal is ∠X and ∠Z.

Further, the sum of the measure of all the angles can be written as,

∠X + ∠Y + ∠Z + ∠W = 360°

∠X + 40° + ∠X + 112° = 360°

2∠X = 360° - 112° - 40°

2∠X = 208°

∠X = 208°/2

∠X = 104°

Hence, the measure of the ∠X is 104°.

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Without additional details it is not possible to solve for the measure of angle Z (mZX) in a kite. Kite properties and given angle measures are typically used to solve for unknown angles.

The question asks to find the measure of angle Z (mZX) in a kite. A property of a kite is that it has two pairs of adjacent sides that are equal. Another property is that the diagonals intersect at right angles. Furthermore, kites have one pair of opposite angles that are equal, known as the non-vertex angles.

If the kite diagram was provided with certain angles or relationships between the angles, we could use that information to calculate mZX. Typically, we would use the properties of the kite's angles and sides to form equations and solve for the unknown angle.

Without additional information provided, we cannot definitively solve for mZX. Usually, in the context of a geometry problem like this, one would apply the knowledge of geometric shapes, their properties, and other given information to solve for the unknown angle.

The nearest whole number, the volume of the composite figure is 1140 in^3.

The composite figure consists of two rectangular prisms. The first prism has dimensions 8 in. x 4 in. x 18 in., and the second prism has dimensions 10 in. x 4 in. x 18 in.

To find the volume of the composite figure, we need to subtract the volume of the hollow cylinder from the volume of the two rectangular prisms.

The volume of a rectangular prism is calculated as follows:

Volume = length x width x height

The volume of the first rectangular prism is therefore:

Volume = 8 in. x 4 in. x 18 in. = 576 in^3

The volume of the second rectangular prism is therefore:

Volume = 10 in. x 4 in. x 18 in. = 720 in^3

The volume of a cylinder is calculated as follows:

Volume = π * radius^2 * height

Since the cylinder in the middle of the prism is hollow, we only need to consider the volume of the cylinder wall. The radius of the cylinder is 1 in., and the height of the cylinder is 18 in. Therefore, the volume of the cylinder wall is:

Volume = π * 1 in.^2 * 18 in. = 56.52 in^3

The total volume of the composite figure is therefore:

Volume = (576 in^3 + 720 in^3) - 56.52 in^3 = 1140.48 in^3

To the nearest whole number, the volume of the composite figure is 1140 in^3.

Answer:

approximately 18 or [tex]\sqrt{324}[/tex]

Step-by-step explanation:

please give me brainliest

Answer:

C) 5

Step-by-step explanation:

27,965/5 = 5593

Technically 27,965 can be divisible by any of these numbers but 5 i the only one that equals a whole number.

Answer:

the meaning of logarithm is a quantity representing the power to which a fixed number (the base) must be raised to produce a given number.

Step-by-step explanation:

: )

Answer:

The answer would be that All the powers have a value if 1 because the exponent is zero.

Step-by-step explanation:

Use the exponent rule to help you

Answer:

it is 1

Step-by-step explanation:

i took this test on brainly

Answer:

The measure of f m∠X and m∠Y =180 i.e they are supplementary angles.

Step-by-step explanation:

Given:

Two angles

To Find:

Relationship between them

Solution:

For two angles to have relationship ,we need to know what represents in the figure

Here no terms are used to represent the angles

So two angles can be represented in sum of angles of triangles ,

as Consider a triangle XYZ then

X +Y=180 -Z

This will be representation

Otherwise,

Then could be linear ,interior alternate angle or supplementary angles

Which they adds up to 180 degree.

Depending upon the Condition representation will be establish.

Now,

m∠X and m∠Y=180............Supplementary angles. will be most effective .

Answer:

m∠X + m∠Y = 180°

Step-by-step explanation:

Answer:

The length of each side of the square is 4 mm

Step-by-step explanation:

AS we can see that , it is said that it is as square so all sides of a square are equal

Area(A)= 16 square millimetres

Length (L) = ?

or

[tex]L^{2}[/tex] = Area

[tex]L^{2}[/tex] = 16

L = [tex]\sqrt{16}[/tex]

L =[tex]\sqrt 4^{2}[/tex]

Therefore L = 4 mm

Hope it will help :)

Answer:

C

Step-by-step explanation:

Answer:

A is proportional

B and C are NOT proportional

Step-by-step explanation:

First, simplify 588 and 60:

588 divided by 6

60 divided by 6

= 98

  10

Simplify them again by dividing them both by 2

= 49

   5

Let's look at A:

441 and 45

Simplify by dividing by 9

= 49

   5

It's pretty obvious that A is proportional because the simplified values are exactly the same.

Next, let's check B:

215  and 25

Simplify by dividing by 5

= 43

   5

Now that its simplified you can compare

43   is smaller than 49

5                               5

B is not proportional

Finally, let's check C:

649 and 110

Simplify by dividing by 11

= 51

  10

Make 51 and 49 have the same denominator so we can compare them

          10         5

51 can stay the same because 5 times 2 equals 10

10

49 times 2

5 times 2

=  98

    10

Now that the denominators are the same we can compare

51 is much smaller than 98

10                                     10

Therefore, C is also not proportional.

Hope that helps :D

The velocity of Saige's spaceship is 9,809,809 km/s.

Given that Saige's spaceship traveled 588,588,588 kilometers in 60 seconds, we can calculate the velocity of the spaceship by dividing the distance traveled by the time taken. Velocity = Distance / Time. Velocity = 588,588,588 km / 60 s = 9,809,809 km/s. Therefore, the velocity of Saige's spaceship is 9,809,809 km/s.

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Answer:

28.6 ft

Step-by-step explanation:

Given an hemisphere of volume [tex]49037 ft^3[/tex]

Volume of a Hemisphere of radius r [tex]=\frac{2}{3}\pi r^3[/tex]

Therefore:

[tex]\frac{2}{3}\pi r^3=49037 \\r^3=49037 X \frac{3}{2 \pi}\\r=\sqrt[3]{49037 X \frac{3}{2 \pi}} \\r=28.6\: foot[/tex]

The radius of the hemisphere is 28.6 foot to the nearest tenth.

Answer:

the answer would be A

Step-by-step explanation:

multiply 7 x 6 and that would get you to 42 and if you multiply 42 x 6 that would get you 252 and if you do that with the rest of the numbers you will see that it could work if you multiply them by 6 so basically the constant rate of the numbers would be 6.

Step-by-step explanation:

Look it's so simple once you learn it's very easy you have to multiply the 1 and 3rd digit so answer is 5 now you have to find the factors of 5 so

x2 - 4x + 5

x2 - 5x + x + 5

x (x - 5) +1 (x + 5)

(x - 5) (x + 1) are the factors but please recheck the question maybe there is a mistake in sign because my factors x + 5 and x - 5 this should be one sign either positive or negative

Answer:

x > -22

Step-by-step explanation:

6x+10>5x-12

Subtract 5x from each side

6x-5x+10>5x-5x-12

x+10 > -12

Subtract 10 from each side

x+10-10>-12-10

x > -22

Answer:

90°

Step-by-step explanation:

Since vertical angles are equal, ∠x is equal to its vertical angle. Since the total angles in a triangle are 180, and x + y = 90, then the angle supplementary to z = 180 - 90 = 90. To find z, it's just 180 - 90 = 90.

The coordinate of S if the triangle is transformed according to the rule Ro. 270 is (-4, 2)

Transformation is the process of changing the position of an object in a xy-plane.

Given the coordinate of the triangles as R(1, 1), S(-2,-4), and (T-3, -3). If the triangle is transformed according to the rule Ro. 270", the resulting coordinate points are (x,y)→(y,−x)

The coordinate of S using the rule is (-4, 2)

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The coordinate of S if the triangle is transformed according to the rule Ro. 270 is (-4, 2)

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

Transformation of coordinates

Transformation is the process of changing the position of an object in a xy-plane.

Given,

the coordinate of the triangles as R(1, 1), S(-2,-4), and (T-3, -3). If the triangle is transformed according to the rule Ro. 270", the resulting coordinate points are (x,y)→(y,−x)

The coordinate of S using the rule is (-4, 2)

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7m^2 - 11m - 2

Distribute the negative.

4m^2 - m + 2 + 3m^2 - 10m - 4 = ?

Now, add the like terms.

4m^2 + 3m^2 = 7m^2

-m + (-10m) = -11m

2 + (-4) = -2

7m^2 - 11m - 2

Answer:

P(chicken) ≈ 0.3

Step-by-step explanation:

Giovanna will select one animal from 6 pigs or 7 chickens or 10 cows to present at the state fair. From the question, there are a total of 6 + 7 + 10 = 23 animals to choose from.

If she selects a chicken, then P(chicken) = 7/23 = 0.304

P(chicken) ≈ 0.3

Answer:

7/23 OR 0.304...826

Step-by-step explanation:

Please refer to the attached image for explanations

Answer:

Ben 3 times older than Daniel

Step-by-step explanation:

Multiply 3 times 4

Answer:

i think is 240 or it could be 64

Answer:

2.44948974

Hope I could help.

Brainliest plz ;)

Answer:

Eduardo did not use the correct formula for the circumference.

Step-by-step explanation:

I was on the same question as you and guessed the assignment said this was the correct answer.