Which relation is a function?



Responses

A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin.
Image with alt text: A coordinate grid containing a U shape with arrows on both ends that opens to the right. The bottom portion of the U passes through the origin.

Coordinate grid with graph of a vertical line at x equals 3.
Image with alt text: Coordinate grid with graph of a vertical line at x equals 3.

A coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair.
Image with alt text: A coordinate grid with the graph of a circle centered at the origin and passing through the point begin ordered pair 2 comma 1 end ordered pair.

A coordinate grid with graph of a curve that increases through the third quadrant through the origin and exits the first quadrant

The value of composite function (f о g) (-1) will be -1.

What is Composite function?

A composite function is a function that is written inside with another function and composition of functions is done by substituting one function into another function.

Given that;

The value of functions are;

f (x) = - 3x -1

And, g (x) = x² - 1

Now, All values of functions are;

f (x) = - 3x -1

And, g (x) = x² - 1

Composition of functions is calculated as;

Since, (f о g) (x) = f (g(x))

Substitute the value of function f(x) and g(x) in above equation;

(f о g) (x) = f (g(x))

              = f (x² - 1)

              = - 3(x² - 1) - 1

              = -3x² + 3 - 1

              = -3x² + 2

Put x = -1 in above equation we get;

(f о g) (-1) = - 3 (-1)² + 2

              = - 3 + 2

              = -1

So,  (f о g) (-1) = -1

Thus, The value of composite function (f о g) (-1) will be -1.

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A function is a relation in which each input value (x-value) has one and only one output value (y-value).

You have the following Linear function:

According to the explained in the problem, you must find an input value that gives you 13 as the output value. Knowing this, you can say that:

Substitute this value into the given function:

The final step is to solve for "x".

Therefore, the value of "x" so that the function has the given value 13, is:

To solve an inequality, we need to isolate the value of x, and to do so we will perform a series of calculations in such a way that it remains the inequality unchanged, or at least still true.

To do so, we will perform first a sum of 2x to both sides of it, as follows:

Now, we subtract 3 from both sides:

To finish it, we divide both sides by 2:

In another way, we can express the following:

It means that the solution is option B.

To solve the second part, we need a filled line that comes from the negative infinity and goes until 2, but it must be including the number 2, and for this reason, the correct answer in the second part is:

D.

Answer:

A) 384, 216

b) 14575

Step-by-step explanation:

A) to find the missing values you do 3-1 which gives you 2.

here is a trick!

then you take your answer (in this case it is 216) and add it to your second row (168) to get the first row's answer (384). so you are basically going backward.

B) here you do the same thing go backward!

5967+8608 = 14575

then if you want you can double-check by subtracting them.

I hope this helps!

It is given that the product of 7 and a number, increased by 3, is equal to twice the number, subtracted from 39.

It is required to find the number.

To do this, write the statement as an algebraic statement.

Let the number be x.

The product of 7 and a number is:

The product of 7 and a number increased by 3 is:

Twice the number is:

Twice the number subtracted from 39 is:

Since it is given that these expressions are equal, it follows that:

Solve the resulting equation for x:

The number is 4.

Answer:

0.1 gallons = 11.8 miles

10 gallons - 1,180 miles

Step-by-step explanation:

Let's use the variables x, y and z to represent each of the three numbers.

If the sum of the three numbers is equal to 80, we have our first equation:

The first number is 8 more than the second, so:

The third number is 2 times the second, so:

Using these values of z and x in the first equation, let's solve it for y:

Now, calculating x and z, we have:

Therefore the first number is 26, the second number is 18 and the third number is 36.

Answer: 28

Step-by-step explanation:

Using the formula for the perimeter of a rectangle,

[tex]2(5z-2+4z)=104\\\\9z-2=52\\\\9z=54\\\\z=6\\\\\therefore AD=5(6)-2-28[/tex]

The ratio of 114 hours to 13 days is 19:52.

It should be noted that ratio is simply used to show the comparison between two things that are illustrated.

In this case, we want to calculate the ratio of 114 hours to 13 days. It should be noted that 24 hours make one day. Therefore, 13 days will be:

= 13 × 24 = 312 hours.

The ratio of 114 hours to 13 days will be:

= 114 / 312

= 19 / 52

The ratio is 19:52.

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The original price is $414.

The difference between the purchase price and the item's par value is the discount. Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided. a fair deduction from a debt account, typically done in exchange for cash or quick payment.

Given Data

A DVD is discounted by 15% and then from the already discounted price, a further 20% discount is given.  

The price now is $300

x = 300 + 15% + 20%

x = 300 + [tex]\frac{15}{100}[/tex] + [tex]\frac{20}{100}[/tex]

x = 414

The original price is $414.

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there u gooooooooooooooooooooooooooooooooo

Answer:

x=6

Step-by-step explanation:

[tex]9(x - 1) - 13x = - 3(x + 5)[/tex]

[tex]9x - 9 - 13x = - 3x - 15[/tex]

[tex]9x - 13x + 3x = - 15 + 9[/tex]

[tex] - x = - 6[/tex]

[tex] \frac{ - \times }{ -1 } = \frac{ - 6}{ - 1} [/tex]

[tex]x = 6[/tex]

Answer

B n G = {2}

B u G = {-2, -1 , 0 , 2, 3, 4, 5, 7)

Step-by-step explanation:

Given the following two sets

B = { -2, 2, 3, 5}

G = { -1, 0, 2, 4, 7}

Part A

Find the intersection of B and G

The intersection of two sets is defined as the set of all the elements in set A that is also present in set G

Hence, the set of elements that is present in set B and set G is 2

Mathematically, B n G = {2}

Part B

Find the union of set B and set G

The union of two sets is a set containing all elements that are in both sets B and G

B u G = {-2, -1 , 0 , 2, 3, 4, 5, 7)

Answer:

40 = (184*j) - 208 or 40 = 184j - 208

the loan payment on a fixed term mortgage loan of $100,000 at 8% for 30 years will be $ 340,000.

Principal amount = $ 100,000

Interest rate = 8 %

Time period = 30 years.

Now, the interest is simple interest as it is a fixed rate/ fixed term mortgage.

So, the interest will be:

Simple interest = p r t / 100

SI = 100,000 × 8 × 30 / 100

SI = $ 240,000

Amount will be:

A = $100,000 + $ 240,000

A = $ 340,000

Therefore, we get that, the loan payment on a fixed term mortgage loan of $100,000 at 8% for 30 years will be $ 340,000.

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Answer:balls

Step-by-step explanation:your mom

Applying the relations given, considering equivalent angles, the trigonometric measures for the angles are given as follows:

The sine of 240º can be written as follows:

sin(240º) = sin(180º + 60º).

Applying the first relation given on the second line, we have that:

sin(180º + 60º) = -sin(60º)

It is known that sin(60º) = sqrt(3)/2, hence the sine of 240º is given as follows:

sin(240º) = -sin(60º) = -sqrt(3)/2.

The cosine of 225º can be written as follows:

cos(225º) = cos(180º + 45º).

Applying the second relation given on the second line, we have that:

cos(180º + 45º) = -cos(45º)

It is known that cos(45º) = sqrt(2)/2, hence:

cos(225º) = -cos(45º) = -sqrt(2)/2.

The tangent of 225º can be written as follows:

tan(225º) = tan (180º + 45º).

Applying the third relation given on the second line, we have that:

tan(180º + 45º) = tan(45º)

It is known that tan(45º) = 1, hence:

tan(225º) = tan(45º) = 1.

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let's take a looksie hmmmm a parabola opening downwards in vertex form using constants of "h" and "k" will be like

[tex]y = -(x+h)^2 +k\implies y = -x^2-2hx-h^2+k \\\\\\ \cfrac{dy}{dx}=-2x-2h\qquad \impliedby \textit{straight line with a negative slope}[/tex]

Answer: The answer is 10

Step-by-step explanation:

      Distribute 1(x-2)/5 = 1(x+6)/10

         x-2/5 = x+6/10

      Multiply by 10 on each side

         2(x - 2) = x + 6

          Distribute

          2x - 4 = x + 6

           Add 4 on each side

           2x= x + 10

           Subtract x

             x = 10

Answer: x=10

Step-by-step explanation:

1/5(x-2)=1/10(x+6)

Distribute and multiply first

(1/5*x) -(1/5*2)=(1/10*x) +(1/10*6)

1/5x-2/5=1/10x+6/10

We do not have the same denominators on both sides. 5 goes into 10 two times so we will multiply everything on the left by 2 to get a common denominator.

2/10x-4/10=1/10x+6/10

Subtract 1/10x from both sides

1/10x-4/10=6/10

Add 4/10 to both sides

1/10x=10/10

1/10x= 1

Multiply both sides by 10/1 (the fraction inverse) to get rid of the fraction.

(10/1)(1/10x) =(1)(10/1)

x= 10

Check work:

1/5(x-2)=1/10(x+6)

Substitute your answer for x

1/5(10-2)=1/10(10+6)

1/5(8)=1/10(16)

8/5=16/10

Simplify 16/10 by dividing by 2

8/5=8/5

Using the normal distribution, it is found that the indicated z-score is Z = 1.08. A normal distribution with a mean of zero and a standard deviation of one is known as the standard normal distribution.

A normal distribution with a mean of zero and a standard deviation of one is known as the standard normal distribution. The standard normal distribution is centered at zero, and the standard deviation indicates how much a specific measurement deviates from the mean.

While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

The z-score of a measure X in a normal distribution with mean and standard deviation is given by:

z = (x-μ)/σ,

It counts the number of standard deviations the value deviates from the mean.

We look at the z-score table after determining the z-score to determine the p-value, which is the percentile of X.

We want Z in this problem to have a p-value of 0.8599, thus Z = 1.08.

The complete question is,

Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. Shaded area is 0.8599.

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using linear equation, Salma needs 10 number of visit to movie theater to get free movie ticket.

What is Linear equation?

A linear equation is one in which the variable's highest power is consistently 1. A one-degree equation is another name for it. A linear equation with one variable has the formula Ax + B = 0, which is its standard form. x is a variable, A is a coefficient, and B is constant in this situation. A linear equation with two variables has the formula Ax + By = C as its standard form. Here, the variables are x and y, the coefficients are A and B, and the constant is C.

linear equation is given by y= mx + c

Salma has 30 rewards points just for signing up and 8.5 points for each visit. the equation became 30+8.5v=115

30+8.5v=115

8.5v=115-30

8.5v=85

v=10

therefore, she needs 10 number of visits to movie theater.

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We have the following:

We can see that time is located on the x axis and the price of gasoline is located on y, we can conclude that in both periods the price increases, but in the first it increases slowly and in the second it increases quickly

Therefore, the answer is:

First, the price of gasoline in New mexico increases slowly, and then it increases quickly

If on January 1, a company purchased new furniture at a cost of $26,000. The furniture is estimated to have a useful life of 5 years and a salvage value of $3200. The  book value of the furniture on December 31 of the first year is: $21,440.

Given data:

Cost = $26,000

Useful life  = 5 years

Salvage value = $3,200

First step is to calculate the  depreciation expenses:

Particular Amount

Cost $26,000

Less: Salvage value ($3,200)

Net cost (a) $22,800

Useful life (b) 5

Depreciation expenses (a/b) $4,560

($22,800 / 5 years)

Second step is to compute the  book value of furniture on 31 Dec of first year:

To determine the book value we would have to deduct the depreciation expenses from the cost.

Particular Amount

Cost of an furniture $26,000

Less: Depreciation ($4,560)

Book value $21,440

Therefore we can conclude that the book value is the amount of $21,440.

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The complete question is:

On January 1, a company purchased new furniture ata cost of $26,000. The furniture is estimated to have a useful life of 5 years and a salvage value of $3200The company uses the straight-line method of depreciation. What is the book value of the furniture on December 31 of the first year?

The postulate specifies the minimum number of points in space is, Postulate 1b: Space contains at least four points not all on one plane.

A postulate is an assumption or a claim that is made without providing any supporting evidence. The fundamental claims that are used to support other claims known as theorems are known as postulates. Once a theorem is established, it can be applied to the establishment of other theorems.

By examining each postulate, we may effectively respond to this query.

Postulate 1a: establishes that if G and H are distinct points on plane R, then R contains a third point rather than GH.

Postulate (1b): establishes the bare minimum within a space.

Postulate 1: This describes a line segment with two points, say A and B.

Postulate 2: It asserts that two points determine a line.

Postulate 3: This one explains why, for example, if one leg is shorter than the other three, a table with four legs would wobble, but a table with three legs would not wobble.

Postulate 4: When points A and B are in Q, it is confirmed that AB is in plane Q.

Postulate 5: It concerns two planes.

According to the data presented above, the appropriate response to our query is:

Postulate 1b: Space contains at least four points not all on one plane.

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Answer:

4 6 3

_ 1 3 9

________

3 2 4

Step-by-step explanation:

you think of of a number

or use logic to answer it

The equation that represent the situation of the quadrilateral is 40 = 3q + 7

A quadrilateral is a polygon with 4 sides.

Three sides of a quadrilateral are the same length, q.

The length of the fourth side is 7 inches.

The perimeter of the quadrilateral is 40 inches.

The equation to represent the situation is as follows:

perimeter of a figure is the sum of the whole sides.

Hence,

perimeter of the quadrilateral = q + q + q + 7

perimeter of the quadrilateral = 3q + 7

Therefore,

40 = 3q + 7

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Answer:

3q + 7 = 40

Step-by-step explanation:

I got this lesson

The calculation for x=0 corresponds to the point where the graph crosses the y-axis . This is the point (0,y) .

In the question ,

it is given that x=0 ,

When x=0 in a point (x,y) means , that point lies on the y -axis , and it is called as the y intercept .

Y intercept is defined as the point where the graph of a line crosses the y-axis .

the point on the y-axis will be (0,y) ,

So , the graph will cross the y-axis when x=0 , and that point will be (0,y).

and the value of y will be called as the y intercept of the graph .

Therefore , the calculation for y=0 corresponds to the point where the graph crosses the y-axis . This is the point (0,y) .

The given question is incomplete , the complete question is

The calculation for x=0 corresponds to the point where the graph crosses the________-axis. This is the point (______) .

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Original equation: y = x²

Tranformation rule:

horizontal translation c units leftt = f(x + c); so:

Modified equation: y = (x + 3)²

Answer:

121 - 61 = 60 degrees

Step-by-step explanation:

Answer:

∠QPR=60

Step-by-step explanation:

∠SPQ-∠SPR=∠QPR

121-61=∠QPR

60=∠QPR

Answer:

12

Step-by-step explanation: