Does each relation represent a function
(1,3), (2,5), (2,7), (4,9)
(1,3), (2,5), (3,7), (4,9)
(1,3), (1,5), (1,7), (1,9)
(1,3), (2,3), (3.3), (4.3)

The slope-point form of a line can be used to determine the equation for a line that is perpendicular to the line g(x) = 4x + 3 and passes through the point (7,3).

The slope of a line perpendicular to g(x) = 4x + 3 is equal to -1/4, which is the negative reciprocal of g(x slope. )'s Consequently, the perpendicular line's slope is 4.

The equation of the line passing through (7,3) with a slope of 4 can therefore be determined using the point-slope form of a line:

y - 3 = 4(x - 7) (x - 7)

Increasing the right side and reducing it:

y - 3 = 4x - 28

28 more on both sides:

y = 4x + 25

Consequently, y = 4x + 25 is the equation for the line perpendicular to g(x) = 4x + 3 and passing through (7,3).

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The equation for a line that is perpendicular to the line g(x) = 4x + 3 and passes through the point can be found using the slope-point form of a line (7,3).

It forms a 90° angle with one particular spot where the line passes. Finding the perpendicular line requires knowledge of coordinates and line equations. The slope should be a/b if the line's equation is (x1, y1) and its coordinates are (ax + by + c = 0).

The slope of a line perpendicular to g(x) = 4x + 3 is equal to -1/4, which is the negative reciprocal of g(x slope. )'s Consequently, the perpendicular line's slope is 4.

The equation of the line passing through (7,3) with a slope of 4 can therefore be determined using the point-slope form of a line:

Let the equation be

y - 3 = 4(x - 7) (x - 7)

simplifying the above equation we get

y - 3 = 4x - 28

y = 4x + 25

Consequently, the equation for the line parallel to g(x) = 4x + 3 and passing through is y = 4x + 25. (7,3).

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The area of the rectangular closet is given by the equation A = 64 feet²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular closet be represented as A

Now , the equation will be

The area of 1 carpet square = 1 foot²

The number of rows = 4 rows

The number of carpet square in each row = 16 carpet squares

So , the total number of carpet squares in 4 rows = number of rows x number of carpet square in each row

Substituting the values in the equation , we get

The total number of carpet squares in 4 rows = 16 x 4 = 64 carpet squares

So , the area of 64 carpet squares = 64 x area of 1 carpet square

Substituting the values in the equation , we get

The area of the rectangular closet A = 64 feet²

Hence , the area of the rectangular floor is 64 feet²

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Answer:

13728

Step-by-step explanation:

Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 2 and x + 4. We are told the sum of x, x+2, and x+4 is equal to 72.

x + (x + 2) + (x + 4) = 72

3x + 6 = 72

3x = 66

x = 22.

This means that the integers are 22, 24, and 26. The question asks us for the product of these numbers, which is 22(24)(26) = 13728.

The answer is 13728.

Answer:12

Step-by-step explanation:

9/12= 3/4   (/3).   3/4=12/16    (x4)

Answer:

Below

Step-by-step explanation:

He wants to DIVIDE the 3/4 gallon into 5 bux

 so divide 3/4 by 5

3/4  /  5 = (3/4) / (5/1) = 3/4 * 1/5 = (3*1) / ( 5*4) = 3/20 gallon per bux

The amount of paint that Ralph store in each container is 3/20 gallon.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Total amount of paint that Ralph has = 3/4 gallon

He wants to store all of the paint equally among 5 containers.

If the paint is stored in 5 containers,

Amount of paint in each container = 3/4 ÷ 5

                                                         = 3/4 × 1/5

                                                         = 3/20

Hence 3/20 gallon of paint is stored in each container.

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On solving the provided question, we can say that all the factors of 30 on the hundred chart are = 1,2,3,5,6,10,15,30 and mistake he made was he didn't mark = 2,6,10,30

In mathematics, the integer m serves as the divisor (also known as factor n) of an integer n, which may be multiplied by the integers to get n. We may also state that n in this situation is a multiple of m. A number without a residue that divides another number is said to be a factor. In other words, if you multiply two integers to create a product, the numbers you multiply are factors of the product since the result is divisible by the numbers you multiply. Factors can be found using either division or multiplication.

all the factors of 30 on the hundred chart are = 1,2,3,5,6,10,15,30

mistake he made was he didn't mark = 2,6,10,30

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Answer:

First Question. 5942

Second Question. 1363

give the guy brainiest he deserves it

Answer: x=15

Step-by-step explanation: try cross multiplying

The expression for the number of pencils she has left will be 100 - 2 × 22 - 2 × 19. Then the correct option is C. And yes, she has enough pencils.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Ms. Florinda is a kindergarten educator. She purchases 100 pencils and needs to give 2 pencils to every one of her understudies. She has 2 classes, a class with 22 understudies and a class with 19 understudies.

Then the expression is given as,

⇒ 100 - 2 × (22 + 19)

⇒ 100 - 2 × 22 - 2 × 19

⇒ 100 - 44 - 38

⇒ 18

The expression for the number of pencils she has left will be 100 - 2 × 22 - 2 × 19. Then the correct option is C. And yes, she has enough pencils.

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Answer:

over 18

Step-by-step explanation:

Answer:

increased the maximum score from 1600 to 2400: 800 points were awarded for math, reading, and writing sections.

Step-by-step explanation:

The value of d in terms of w and l is d = √216w / 35l.

The weight of w kg of a metal bar varies jointly as its length L metres and the square of its diameter d mm. If w = 140 when d = 4 and L = 54. The value of d in terms of W and L can be found as follows:

Therefore, using the proportional relationship,

w ∝ ld²

w = kld²

Where,

Therefore,

140 = k × 54 × 4²

140 = 864k

k = 140 / 864 = 70 / 432 = 35 / 216

k = 35 / 54

Therefore, d in terms of w and l is as follows:

w = kld²

d² = w / kl

Hence,

d = √216w / 35l

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Answer:

3x+24

Step-by-step explanation:

3*x +3*8

=3x+24

Answer:

3x+24

Step-by-step explanation:

3(x+8)

3×x + 3×8

3x+24

the Diagram that would support his plan to use ASA is either option A and Option B.

Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.

The Corresponding portions of Congruent triangles are the complete form of CPCT. Triangles may be shown to be congruent after which the final dimension can be anticipated without actually measuring the triangle's sides and angles. The following are many congruency rules.

Since All triangles given in the options are congruent we need to find which pair of triangles are supposed to be congruent by the property of ASA.

From ASA:

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and the side included between the angles of the second triangle.

Therefore, Either Option A or Option B is the Diagram that would be supportive of his intention to utilize ASA.

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Since the barber cuts 32 haircuts in 2 days, the rate for a ratio of the two different quantities include the following: C. 32 over 2 haircuts per day.

In Mathematics, a proportion simply refers to an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

By applying direct proportion to the given information, we have the following mathematical expression:

32 haircuts = 2 days

1 haircut = (32/2) haircut per day

In this context, we can reasonably infer and logically deduce that the barber cuts 16 haircuts in a single day or per day.

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Answer:

C: 32/2

Step-by-step explanation:

i took the exam :)

Answer:

Dina =z gerbils

Jacki =4z

W = 4z

Independent:z

Dependeny:w

Step-by-step explanation:

I think it's right

53/6, 203/10 and 73/5 rounded to the nearest whole number are 9, 20 and 15 respectively

Approximation is the process of using rounded values when presenting numerical data and making rough calculations.

The digits 1,2,3 and are rounded down and digits 5,6,7,8 and 9 are rounded up.

The numbers can be rounded to the nearest whole number as follows:

53/6 = 8.83 = 9          (round up)

203/10 = 20.3 = 20    (round down)

73/5 = 14.6 = 15           (round up)

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Answer:

12 feet

Step-by-step explanation:

this is a rectangle! because DC = 16 feet, you know that AB is also equal to 16 feet

therefore, DA + CB = 24

because ABCD is a rectangle, you know that DA = CB and you can use substitution to say that CB + CB = 24

2CB = 24

CB = 12

Answer:

[tex]x < - 2[/tex]

That the answer.

Answer:

y is not a function of x.

Step-by-step explanation:

To know if this is a function, first look in the x column.

If there are no repeated numbers, its a function. Here there is a repeat. 1 is listed twice.

Since there are two different y's that go with the x, when x is 1, this is not a function.

Because (1,8) and (1,12) are the problem. This is not a function because even just one x has more than one y.

Solving provided question, we can say that  equation of slope intercept will be => y - 30 = mx - 3m

In mathematics, the intersection point is the place on the y-axis where the slope of the line crosses. a place where the y-axis crosses on a line or curve. Y = mx+c, where m stands for the slope and c for the y-intercept, is used as the equation for the straight line to show this. The slope (m) of the line and its y-intercept (b) are emphasised in the equation's intercept form. When an equation has the intercept form (y=mx+b), the slope is m and the y-intercept is b. Some equations can also be rewritten such that they seem to be slope intercepts. If y=x is rewritten as y=1x+0, for instance, the slope and y-intercept are both changed to 1.

from the provided graph,

the coordinates are (3,30)

equation of slope intercept will be

y - 30 = m(x - 3)

y - 30 = mx - 3m

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y=4 is the minimum y-value after which the exponential function will always be greater than the linear function.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

From the graph we can see that in the interval [0,1] the value of y is less than 1.

In the interval [1,2] the value of y value is 2 to 4.

In the interval [2,infinity) the graph is going up, and the value of y is greater than or equal to 4.

Therefore, the graph going up after y=4 above the line.

Therefore, the minimum y-value is 4 after which the exponential function will always be greater than the linear function.

Hence, y=4 is the minimum y-value after which the exponential function will always be greater than the linear function.

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Savings account B offers a higher APY of 5.25%, compared to the 5.13% offered by savings account A.

Interest is a fee charged by a lender to a borrower for the use of money. It represents the cost of borrowing money and is typically expressed as a percentage of the loan amount. Interest is paid over a period of time and is calculated based on the principal amount of the loan, the interest rate, and the length of the loan term.

Simple interest is calculated only on the principal amount of the loan, while compound interest is calculated on both the principal and the accumulated interest over time. Compound interest results in a faster growth of the loan balance compared to simple interest.

APY (Annual Percentage Yield) is the effective annual interest rate, taking into account the frequency of compounding. It can be calculated as follows:

APY = (1 + (APR / n))ⁿ⁻¹

where APR is the annual percentage rate and n is the number of times the interest is compounded in a year.

For savings account A, with a 5% APR and compounding quarterly, n = 4. So,

APY = (1 + (0.05 / 4))⁴⁻¹ = 0.0513 = 5.13%

For savings account B, with a 5% APR and compounding semiannually, n = 2. So,

APY = (1 + (0.05 / 2))²⁻¹ = 0.0525 = 5.25%

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Answer:

X=15

Step-by-step explanation:

The possible rational zeros of the given polynomial are given by: p/q = ±1, ±2, ±3, ±6

What is a polynomial ?

Polynomial can be defined as expression in which combination of variables and coefficients

A rational zero of a polynomial is a rational number that, when plugged into the polynomial, results in zero. To find all possible rational zeros of a polynomial, we can use the Rational Root Theorem.

According to the Rational Root Theorem, if a rational number "p/q" is a zero of a polynomial, where p and q are integers and q ≠ 0, then p must be a factor of the constant term (in this case, 6) and q must be a factor of the leading coefficient (in this case, 2).

So, the possible rational zeros of the given polynomial are given by:

p/q = ±1, ±2, ±3, ±6

We can then test each of these values to see if they are actually zeros of the polynomial. To do this, we simply plug in the value and simplify. If the result is zero, then the number is indeed a zero of the polynomial.

For example, plugging in p/q = -1, we get:

2(-1)^5 + 4(-1)^4 - 3(-1)^2 + (-1) - 6 = 2 - 4 - 3 + 1 - 6 = -14,

which is not equal to zero, so -1 is not a zero of the polynomial.

By testing each of the possible rational zeros in a similar way, we can determine which ones are actually zeros of the polynomial.

Therefore,  The possible rational zeros of the given polynomial are given by: p/q = ±1, ±2, ±3, ±6

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(a) The coldest city is city C because it has the lowest temperature.

(b) The warmest city is city B because it has the highest temperature.

The coldest city is the city with the lowest temperature or the city with the least amount of temperature.

The temperature of the cities is given as follows;

City A = -9 ⁰F

City B = 10 ⁰F

City C = - 3.5 ⁰F

Thus, the coldest city is city C because it has the lowest temperature.

The warmest city is city B because it has the highest temperature.

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Answer:C

Step-by-step explanation:

Answer: 7, equilateral, heptagon

Step-by-step explanation: Hello!

The first thing you can see is that the polygon has 7 sides.  

Secondly, a regular polygon is a polygon that has all equal angles and all equal sides.

An equiangular polygon is a polygon with all equal angles but not all equal sides.

An equilateral polygon is a polygon with all equal sides but not all equal angles.

You can tell by the shape of the polygon that the polygon does not have all equal angles.  The only way you can say that the polygon is equiangular is if it is proven to be true or it is given.  Even if the angles look congruent, you can never say that they are unless you know it for a fact.  This is because diagrams are always misleading.  

This means that the polygon is not a regular polygon and is not an equiangular polygon.  This means that the polygon is equilateral.  Let's check.

All sides clearly show that the measure of each is 8.  Since it is given and it is a fact that all sides are congruent, the polygon is definitely equilateral.  

The last thing you need to do is to find if the shape is a hexagon, heptagon, or octagon.  You can find that by knowing which shapes are which just by counting the sides:

3 sides - Triangle
4 sides - square
5 sides - pentagon
6 sides - hexagon
7 sides - heptagon

8 sides - octagon
9 sides - nonagon
10 sides - decagon
etc.

You know that since the polygon has 7 sides, the shape is a heptagon.

Answer:

The polygon above has 7 sides. It is a heptagon.

Answer:17

Step-by-step explanation:

DON'T TRUST ME

The inverse of functions g(x)=2/x - 1 and f(x)= ⁵√(x-1) + 2 are g⁻¹(x) = 2/(x + 1)  and f⁻¹(x) = (x-2)⁵ + 1 respectively

In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f.

For g(x)=2/x - 1:

Let g(x) = y

y = 2/x - 1

y + 1 = 2/x

x(y + 1) = 2

x = 2/(y + 1)

Since x = g⁻¹(y)

Thus, g⁻¹(x) = 2/(x + 1)          [We just replace y with x]

For f(x)= ⁵√(x-1) + 2:

Let f(x) = y

y =  ⁵√(x-1) + 2

y -2 =  ⁵√(x-1)

(y-2)⁵ = (x-1)

x-1 = (y-2)⁵

x = (y-2)⁵ + 1

Since x = f⁻¹(y)

Thus, f⁻¹(x) = (x-2)⁵ + 1

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The values of {x} are given above upto 2³.

Given is that x = 2 and x = 3.

We can write -

2³ = 8

x = 1                  x = 2

x = 3                 x = 4

x = 5                 x = 6

x = 7                 x = 8

Therefore, the values of {x} are given above upto 2³.

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