Which explanation could be used to verify whether the functions are inverses?

Neither of the lines is parallel to the line y = x; therefore, the functions are inverses of each other.
Neither of the lines is parallel to the line y = x; therefore, the functions are not inverses of each other.
The point of intersection of the two functions is not on the line y = x; therefore, the functions are inverses of each other.
The point of intersection of the two functions is not on the line y = x; therefore, the functions are not inverses of each other.

Answer:

1. The sum of the measures of the interior angles of an octagon is 1080

2. The sum of the measures of the interior angles of a 25-gon is 4140°

3. The measure of each interior angle of a regular hexagon is 120°

4. The measure of each interior angle of a regular 16-gon is 157.5°

5. 360°...

6. The measure of each exterior angle of a regular 30-gon is 12°

7. If the exterior angle of a regular polygon is 22.5°,there are 16 sides

8. If the interior angle of a regular polygon measures 170°,it has 36 sides

Step-by-step explanation:

To find the sum of the measure of interior angles. I used the formula: sum of interior angle= (sides-2)·180°

For finding the interior angle of a polygon, you take the sum of interior angles and divide it by the number of sides.

To find the measure of exterior angles of a polygon .I used the formula: sides= 360°/exterior angle, or exterior angle = 360°/ sides

To find number of sides with the interior angle of a polygon you can use the formula: sides= 360°/180°- interior angle

Hope this helps!

Answer:

it is d

Step-by-step explanation:

Answer:

48 degrees

Step-by-step explanation:

m1 = 90 - 42 = 48

Answer:

C) 1/2

Step-by-step explanation:

3/16 + 5/8 is equal to 13/16. Or in decimal form: 0.8125. If you multiply 13/16 by 1/2, you'll get 13/32 (decimal form: 0.40625).

0.40625 rounded to the nearest tenth is 0.5 or 1/2.

The equation for the graph above is y = 5sin(2x/3).

In Mathematics and Geometry, a sine wave is sometimes referred to as a sinusoidal wave, or sinusoid and it can be defined as a fundamental waveform that is typically used for the representation of periodic oscillations, in which the amplitude of displacement at each interval is directly proportional to the sine of the displacement's phase angle.

Mathematically, a sine wave can be represented or modelled by this mathematical equation:

y = asin(bx)

Where:

Based on the graph of this sine wave, we have:

Amplitude, a = 5.

Periodicity, b = 2π/period = 2π/(3π) = 2/3

Therefore, the required sine wave function is given by;

y = asin(bx)

y = 5sin(2x/3)

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Answer:

a)9. b) 12

Step-by-step explanation:

a) | -6 -3 | .

-6-3 = -9

|-9| =9

b) | 0 - 12 |.

0-12=-12

|-12|=12

Answer:

x=10,y=120

Step-by-step explanation:

3x-30=60 CDA

3x=30

x=10

again,

y+60=180 straight line

y = 120

Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

Heracio used the computer 4 more hours to do homework than shop online.

To find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.

Let's start by calculating the number of hours Heracio spent on each activity:

Shopping: 10% of 40 hours = 4 hours

Videos: 15% of 40 hours = 6 hours

Homework: 20% of 40 hours = 8 hours

Games: 20% of 40 hours = 8 hours

Social media: 25% of 40 hours = 10 hours

Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:

8 hours (homework) - 4 hours (shopping) = 4 hours

Therefore, Heracio used the computer 4 more hours to do homework than shop online.

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The distance between the two points 12.3 and -23.2 on the number line as required in the task content is; 35.5.

It follows from the task content that the distance between the two points given; 12.3 and -23.2 is to be determined.

On this note, it follows that the required distance is the absolute value of their difference, so that we have;

Distance = | 12.3 - (-23.2) |

= | 35.5 |

= 35.5

Ultimately, the distance between the two points 12.3 and -23.2 as required in the task content is; 35.5.

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Answer:

hi

Step-by-step explanation:

9xy + 5y +

Answer: d.12

Step-by-step explanation:

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

A sphere has no faces, no edges, and no vertices.

A sphere is defined as the set of all points in three-dimensional space that are equidistant from a fixed point, called the center. The distance from the center to any point on the sphere is called the radius.

Spheres have a continuous, smooth, and curved surface, unlike polyhedra, which have flat faces, edges, and vertices. In contrast, a sphere does not have any flat faces, straight edges, or sharp corners. Its surface is entirely smooth and curved, with no distinct points where multiple edges meet.

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The required simplified value of the given expression is given as -13/20.

Given that,
An expression is given, −1 4/5 + (−1/4) + (−1/5) we have to determine the sum of the expression.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
= -1 4/5 + (-1/4) + (-1/5)
= -1/5 -1/4 -1/5
= -2/5 -1/4
= -13/20

Thus, the required simplified value of the given expression is given as -13/20.

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Answer:

3 n 2/3

Step-by-step explanation:

i just used a calculator bro

Answer:

The variable must be alone or isolated on one side of the equation.

Isolate the variable by using inverse or opposite operations.

The equation must remain balanced.

Explanation:

Let me just make sure!

Part A:  If her finance charge will be $51, an equation to determine Rebecca's current credit card balance is x = (51 - 1) ÷ 0.02.

Part B: Rebecca can save $27 in finance charges by making the purchase on the last day of the billing cycle instead on the first day.

An equation is a mathematical statement showing that two or more mathematical expressions share equality in value.

Equations are depicted using the equation symbol (=).

A finance charge includes the interest and other fees charged on credit cards.

The finance charge is usually based on a stated APR (annual percentage rate).

The billing cycle for the month = 28 days

Current beginning balance = x

Annual percentage rate (APR) = 24%

Monthly percentage rate (MPR) = 2% (24% ÷ 12)

Purchase on the last day = $1,400

Total finance charge for the month = $51

Finance charge for the last-day purchase = $1 ($1,400 x 2% x 1/28)

Finance charge for the beginning balance = $50 ($51 - $1)

The current beginning balance, x = $2,500 ($50 ÷ 2%)

Equation for current beginning balance, x = 51 - 1 ÷ 0.02

Total finance charge for the last-day purchase = $28 ($1,400 x 2%)

Savings in finance charge by purchasing ont the last day = $27 ($28 - $1)

Thus, Rebecca can save $27 in finance charge when she purchases the $1,400 gift for her friend on the laset day of the billing cycle instead of on the first day.

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Answer:

B = - 23

Step-by-step explanation:

5(B + 4) = 3(B - 1) + B ← distribute parenthesis on both sides

5B + 20 = 3B - 3 + B

5B + 20 = 4B - 3 ( subtract 4B from both sides )

B + 20 = - 3 ( subtract 20 from both sides )

B = - 23

Answer:

(0,4)

Step-by-step explanation:

Because the problem gives you the value of what m would equal in terms of n you would substitute n - 4 for m in the equation above, resulting in:

n - 4 + 5n = 20

6n - 4 = 20

6n = 24

n = 4

Now that you know n = 4, you already can see that the answer would be (0,4), however to check you can substitute 4 for n into the second equation.

m = 4 - 4

m = 0

Because this results in m = 0, that tells you that (0,4) is the right answer.

Answer:

(0, 4)

Step-by-step explanation:

So you can solve the equation by substitution. The solution of a systems of equations, is when they both intersect, or when the (x, y) values are exactly equal, which is why I can substitute the m of the second equation into the first equation, because I'm looking for when they're equal, and that is when m is going to be equal in both equations, as well as the n value.

original equation:

m + 5n = 20

substitute n-4 as m in the equation

(n-4) + 5n = 20

simplify:

6n-4 = 20

add 4 to both equations

6n = 24

divide both sides by 6

n = 4

Now to find m, simply substitute 4 as n in either equation:

Original equation:

m = n - 4

substitute 4 as n

m = 4-4

m=0

so m=0, and n=4, so the solution in the form (m, n) = (0, 4)

Explanation:

Basically, you can do it in many ways. But just, in my opinion, exactly linear algebra was made for such cases.

the optimal way is to do it with Cramer's rule.

First, find the determinant and then find the determinant x, y, v, u.

Afterward, simply divide the determinant of variables by the usual determinant.

eg. \(\frac{Dx_{} }{D}\) and etc.

I think that is the best way to solve it without a hustle of myriad of calculations reducing it to row echelon form and solving with Gaussian elimination.

Answer: 0.35

Step-by-step explanation:

Times 7 = 2. 45kg

Hello!

To solve this exercise, we must calculate the value of the fractions in the alternatives and compare them with the graph.

Note that we have 5 points on it. Let's start analyzing the first, second and third points:

• 1st point,: it's exactly when y = 1.

• 2nd point,: it's a number ,bigger than 1,, so we can disregard alternative C because 2/3 < 1.

• 3rd point,: is exactly ,between 1 and 2,, so it corresponds to y = 1.5.

Just knowing it we are able to answer this exercise, look:

• In all alternatives, we have the first point as 1.

• The second point must be > 1, so it can be alternatives A or B.

• The third point must be = 1.5, so it can be written as 3/2.

Alternative A.

Answer:

12

Step-by-step explanation:

For polygons that are similar to each other, the ratio of their corresponding sides are usually equal to each other, as they are proportional.

Therefore, given that ∆DAE is similar to ∆BAC, AD = 6, AB = 6+4 = 10, AE = x, AC = x + 8, therefore:

AD/AB = AE/AC

6/10 = x/(x+8)

Cross multiply

6*(x+8) = x*10

6x + 48 = 10x

Subtract 6x from both sides

48 = 10x - 6x

48 = 4x

Divide both sides by 4

48/4 = x

x = 12

Length of side AE = 12

Answer: ACUTE triangle!

Step-by-step explanation:

By placing the given value in equation , we get u + v - 4u = (-20, 13)

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:

4u = 4(5,-2) = (20,-8)

Now, we can add u and v, and subtract 4u from the result:

u + v - 4u = (5,-2) + (-5,7) - (20,-8)

= (5 - 5 - 20, -2 + 7 + 8)

= (-20, 13)

Therefore, u + v - 4u = (-20, 13).

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Answer:

Units: ( km / min) * (min / hr) = km / hr

(The units for minutes cancel each other out)

Speed = (68 km / 33 min) * (60 min / 1 hr) = 123.6 km/hr

Step-by-step explanation:

Good question - this is going to be a unit conversion-type question.  What we have is two different units of time, which we'll have to convert between, knowing the fact that 60 minutes = 1 hour.

Hope that helps!

Answer:

J: (6,-3)

K: (6,7)

L: (7,7)

M: (7, -3)

Answer:J: 6,-3

K: 6,7

L: 7,7

M: 7, -3

Step-by-step explanation:

The graph of f(x) will be an upside-down, 3 units to the left, 4 units downward V-shaped curve.

The absolute value function's graph is V-shaped, with its vertex located at (0,0). The V-shaped graph is reversed when the function is negated, and the graph is shifted downward when a constant is subtracted.

The characteristic that every input is associated with exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837:

from the questions:

The absolute value function f(x) = |x| has been translated to the left by 3 units and down by 4 units, transforming it into the function

f(x) = -|x + 3| - 4.

As the vertex of the absolute value function is at (0,0), the shift will cause the vertex of f(x) to move to (-3,-4) instead.

The absolute value function's graph is V-shaped, with its vertex located at (0,0). The V-shaped graph is reversed when the function is negated, and the graph is shifted downward when a constant is subtracted.

As a result, the graph of f(x) will be a V-shaped curve that has been rotated 180 degrees, shifted 3 units to the left, and descended 4 units.

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