Does this graph represent a function?
Does this graph represent a linear rule?
Explain your answer!
PLS HELP THIS IS TEST

Does This Graph Represent A Function?Does This Graph Represent A Linear Rule?Explain Your Answer!PLS

Answers

Answer 1

Answer:

it is a function because it passes a vertical line test.

Step-by-step explanation:


Related Questions

find the vertex

V(x) = 325x2 – 4600x + 145000

Answers

The vertex of V(x) = 13x² - 184x + 5800 are at 7.08 + i19.9 Or  7.08 - i19.9.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We know the graph of a quadratic equation is a parabola and the vertex of the parabola are the roots o the quadratic equation.

Given, V(x) = 325x² - 4600x + 145000.

V(x) = 13x² - 184x + 5800.  (we have factored out 25)

Now, By applying Sridhar acharya's formula,

x = [- b ± √(b² - 4ac)]/2a.

x = [184 ± √(33856 - 301600)]/26.

x =  [184 ± i√267744]/26.

x =  [184 ± i517.44]/26.

x = 7.08 + i19.9 Or  7.08 - i19.9.

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One way to compute a 15% tip for a bill is to multiply it by 0.15. A restaurant bill was $36.20. Calculate the tip.

Answers

the answer is $5.43…….

Is y 4 a vertical line?

Answers

y = 4 is a horizontal line.

The graph of the equation y=4 is a horizontal line. It is function since each x is mapped to one y or each element of the domain is mapped to only one element of the range. It also passes the vertical line test.

Now, According to the question:

Let's know:

What is Horizontal lines?

If we are given the equation of y equal to a number, our graph will be a horizontal line. Is this equation a function? The answer would be yes since it passes the vertical line test. The vertical line test tells us if we draw a vertical line through any point of the graph and it goes through only one point at each line, then it is a function. If it passes through more than one point, it does not. The slope of a horizontal line is zero.

The equation is y = 4.

The graph of the equation y=4 is a horizontal line. It is function since each x is mapped to one y or each element of the domain is mapped to only one element of the range. It also passes the vertical line test.

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The complete question is this :

Is y = 4  a vertical line?

Write the standard equation of the circle.
Geometry b

Answers

The standard equation of the circle will be;

⇒ (x - 3)² + (y + 5)² = 16

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circle is shown in figure.

Now,

Here, By the figure;

The radius of the circle = 7 - 3

                                    = 4 units

And, The center of circle = (3, - 5)

We know that;

The standard equation of the circle is,

⇒ (x - h)² + (y - k)² = r²

Where, (h, k) = center and r is radius.

So, We get;

The standard equation of the circle is,

⇒ (x - 3)² + (y - (-5))² = 4²

⇒ (x - 3)² + (y + 5)² = 16

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Santos walks 222 kilometers south and then a certain number of kilometers east. He ends 555 kilometers away from his starting position. How many kilometers east did Santos walk

Answers

Answer:

  4.6 km

Step-by-step explanation:

You want to know how many kilometers east Santos walked to end up 5 km from his starting position after walking 2 km south.

Distance

The distance Santos is from his starting position will be the hypotenuse of a right triangle with one leg 2 km. Using the Pythagorean theorem, we can find the length of the other leg.

  c² = a² + b²

  5² = 2² + b²

  21 = b²

  b = √21 ≈ 4.583

Santos walked about 4.6 km east.

<95141404393>

$7,400 at 10.5% for ¼ years​

Answers

7,594.25
This is simple interest btw
Hope it helps

A salesperson at a jewelry store earns 8% commission each week. Last week, Jarrod sold $720 worth of jewelry. How much
did he make in commission? How much did the jewelry store make from his sales?
Jarrod earned $ in commission.

Answers

Answer(s): He made $57.60 in commission, and the jewelry store made $662.40.

Explanation: 8% of 720 is the same as 0.08 multiplied by 720. When multiplying those two numbers, you then get 57.60. The left over amount would be the total amount the jewelry store made, so you subtract 57.60 from 720 to get 662.40.

Suppose $P(x)$ is a polynomial of smallest possible degree such that: $\bullet$ $P(x)$ has rational coefficients $\bullet$ $P(-3)

Answers

The value of polynomial p(x) when x=0 is 35.

What is a polynomial?

An expression made up of indeterminates and coefficients and utilising solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables is referred to as a polynomial.

The complete question is as follows:

Suppose p(x) is a polynomial of smallest possible degree such that: bullet p(x) has rational coefficients bullet p(-3) = p(\sqrt 7) = p(1-\sqrt 6) = 0 bullet p(-1) = 8 determine the value of p(0).

Given,

p(x) is a polynomial of smallest degree where

    p(-3) = p(√7) = p( 1-√6) = 0

     p(-1) = 8

 So the factors of p are (x+3),(x-√7) and (x - 1+√6)

Given p has rational coeffecients. So we should remove √7 and √6. This can be done by multiplying with conjugates.

(x-√7)*(x+√7) = x²-7

(x-1+√6) * (x-1-√6) = (x-1)² - √6² = x²-2x+1-6 = x²-2x-5  

Now the polynomial can be written as

p(x) = c (x+3)(x²-7) (x²-2x-5 )

Here c is a constant and can be determined using p(-1) = 8

p(-1) = c ( -1+3)(-1² - 7 )(-1²-2*(-1) -5)

8 = c(2)(-6)(-2)

c = 1/3

Now the polynomial p(x) = 1/3(x+3)(x²-7) (x²-2x-5 )

Therefore p(0) = 1/3 (3) (-7)(-5) = 35

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The rectangular floor of a classroom is 24 feet in length and 40 feet in width. A scale drawing of the floor has a length of 6 inches. What is the area, in square inches, of the floor in the scale drawing?


HURRY! :D

Answers

The area of the floor in the scale drawing is 60 inches².

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Actual rectangle:

Length = 24 feet

Width = 40 feet

Scale rectangle:

Length = 6 inches

Width = 40/4 = 10 inches

The area of the scaled rectangle.

= Length x Width

= 6 x 10

= 60 inches²

Thus,

The area of the scaled rectangle is 60 inches².

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What is the simplest form of 2√3 / √6

√2
√√3
3√2
2√3
O

Answers

The simplest form   [tex]\frac{2\sqrt{3} }{\sqrt{6} }[/tex] is [tex]\sqrt{2}[/tex]

Step-by-step solution:

[tex]=\frac{2\sqrt{3} }{\sqrt{6} }[/tex]

[tex]=\frac{2\sqrt{3} }{\sqrt{2*3} }[/tex]              (write factors of [tex]\sqrt{6}[/tex] i.e. [tex]\sqrt{2*3}[/tex])

[tex]=\frac{2\sqrt{3} }{\sqrt{2}\sqrt{3} }[/tex]

[tex]=\frac{2\ }{\sqrt{2}\ }[/tex]

[tex]=\frac{2\ }{\sqrt{2}\ } * \frac{\sqrt{2} }{\sqrt{2} }[/tex]        (Rationalize it by [tex]\sqrt{2}[/tex])

[tex]=\frac{2\sqrt{2} }{2}[/tex]

[tex]=\sqrt{2}[/tex]

Therefore, the correct solution to this question is [tex]\sqrt{2}[/tex]

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Let g be a twice-differentiable function with g'(x) > 0 and g"(x) > 0 for all real numbers x, such that
g(3) 12 and g(5) = 18. Which of 20, 21, and 22 are possible values for g(6) ?
(A) 21 only
(B) 22 only
(C) 20 and 21 only
(D) 21 and 22 only

Answers

The answer will be A

g(6) must be greater than 21 which is 22 only.

What is function?

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable.

Since g'(x) > 0 for all x and we know that g(x) is an increasing function.

Additionally, since g"(x) > 0 for all x, we know that g(x) is a concave-up function.

Since g(x) is increasing, we know that g(6) > g(5) = 18.

Now, we can use the fact that g(x) is concave-up to find a lower bound on g(6).

By the definition of concave-up, we know that the slope of the tangent line to g(x) is increasing.

This means that the slope of the line connecting (3,g(3)) to (5,g(5)) is less than the slope of the line connecting (5,g(5)) to (6,g(6)).

Using this information, we can find a lower bound on g(6):

g(5)- g(3) / (5-3) < g(6)- g(5)/ (6-5)

18- 12/2 < g(6)- 18

3 < g(6) - 18

g(6) > 21

Therefore, g(6) must be greater than 21.

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Which region had the greatest growth in percentage of households with a computer between 2008 and 2018

Answers

The Africa region saw the largest increase in the proportion of households with computers between 2008 and 2018.

Which US has the lowest number of net customers?The least connected US in the arena is dictator-ruled Eritrea, located in the Horn of Africa, where it is most effective. Her 91% of citizens have internet access.In rural areas, almost a quarter of the population (14.5 million people) do not have access to this service. Nearly one-third of the population is inaccessible in tribal areas. Even in areas where broadband is available, about 100 million Americans are still unsubscribed.North Korea tops the list with near-zero internet penetration as citizens remain blocked from the internet.Interestingly, a small but growing percentage of offline households (4% in 2021) is reporting no internet access in the area, outnumbering households reporting their computers are not working. (Which was a big barrier 10 years ago). It was used but seems to have decreased significantly over time.

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Write an explicit formula for a_na
n

, the n^{\text{th}}n
th
term of the sequence 27, 9, 3, ...27,9,3,....

Answers

The equation which correctly represents the explicit formula for the nth term of the given sequence is; a (n) = a (n - 1) × ( 1 / 3 ) and a (1) = 27.

Which equation represents the nth term of the given sequence?

As evident in the task content; the given sequence is a geometric sequence and the common ratio of the sequence can be determined as;

r = 3 / 9 = 9 / 27 = 1 / 3.

On this note, since the common ratio of the consecutive terms of the sequence is; 1/3 it follows that the required explicit formula which represents the nth term , a (n) is;

a (n) = a (n - 1) × ( 1 / 3 ) and a (1) = 27.

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I need help, please
and can someone explain so I can stop posting so many of these?

Answers

it's infinitely many bc the equations have the same line

Answer:

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

Here a1, b1, c1, a2, b2, c2 are all real numbers.

Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0

Step-by-step explanation:

How many solutions does the following system have?

y = -2x – 4

y = 3x + 3

Solution:

Given y = -2x – 4

y = 3x + 3

Rewriting to the general form

-2x – y – 4 = 0

3x – y + 3 = 0

Comparing the coefficients,

(a1/a2) = -⅔

(b1/b2) = -1/-1 = 1

(a1/a2) ≠ (b1/b2)

Hence, this system of equations will have only one

Consider a species that occupies a large, but fixed, number of islands. The distribution of the species across all islands is maintained by a balance between local extinctions and local colonization events. Devise a model for the relationship between the fraction of islands occupied by the species and time. Be clear to outline the assumptions you make and be sure to describe your key predictions

Answers

The most probable prediction( according to biogeography theory of islands) for this situation would be continued colonization of large species population( due to balance between immigration and extinction of species) through time on the island.

What is species?

A species is a unit of biodiversity as well as the fundamental classification and taxonomic rank of an organism in biology.

Given:

Consider a species that occupies a large, but fixed, number of islands.

The distribution of the species across all islands is maintained by a balance between local extinctions and local colonization events.

According to island biogeography theory the population of an island is maintained constant through time when the immigration rate of new species to the island and extinction rate of species in the island is constant.

In a model for the relationship between the fraction of islands occupied by species and time, if the number of new species immigrating to the island will be equal to the number of species that become extinct in the island species population and will thrive continuously through time( will never become extinct) as the island species population will be maintained due to the existence of a dynamic equilibrium of species in the island.

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In regression analysis, which of the following is not a required assumption about the error term e?
Answer
O The expected value of the error term is zero.
O The variance of the error term is the same for all values of x.
O The values of the error term are independent.
O All are required assumptions about the error term.

Answers

All are required assumptions about the error term.

In regression analysis, there are several assumptions that need to be met regarding the error term :

The expected value of the error term is zero: It is the assumption that the mean of the error term is zero, which means that on average, the predicted values of the dependent variable will be equal to the true values of the dependent variable.The variance of the error term is the same for all values of x: It is the assumption that the spread of the error term is constant across all levels of the independent variable.The values of the error term are independent: It is the assumption that there is no relationship between the error term at different levels of the independent variable.All three assumptions are required for valid regression analysis, and any violation of these assumptions can lead to biased or inefficient estimates of the model parameters.

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Why can the sine ratio never be greater than 1?

Answers

Because the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse (the longest side), the ratio values will never be greater than one, because (some number) / (a larger number) is always less than one.

What is sine and cosine?

Sine & cosine are trigonometric functions of an angle in mathematics. In the context of a right triangle, the sine and cosine of an acute angle are defined as follows: for the specified angle, the sine is the ratio of the length of the side opposite that angle to the length of the triangle's longest side (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.

The sine and cosine functions for an angle θ are simply denoted as sin θ and cos θ. In general, the definitions of sine and cosine can be extended to any real value expressed in terms of the lengths of specific line segments in a unit circle.

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26. Six oranges in a bag of 30 oranges are bad. Express the number of bad oranges as a fraction in its lowest terms. ​

Answers

Answer:

The fraction representing the number of bad oranges can be written as 6/30. This fraction can be simplified by dividing both the numerator and the denominator by 2, which gives us 3/15. This fraction is already in its lowest terms, so 3/15 is the final answer.

Step-by-step explanation:

1/5 is the answer in lowest terms.

To find a fraction in lowest terms you must find a number that both the numerator and denominator are divisible by. In this case the lowest number is 6.

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How do you graph log functions with transformations?

Answers

required transformed function will be y = parent function+5⇒y=logx+5.

Since, given function y= logx

According to the graph, the transformed function is getting after shifting  the function by 5 unit upward.

Thus, transformed function must be equals to parent function+5.

Therefore, required transformed function will be y = parent function+5⇒y=logx+5.

How to do logarithmic transformations?

Image result for How do you graph log functions with transformations?

Recall the general form of a logarithmic function is: f ( x ) = k + a log b ⁡ where a, b, k, and h are real numbers such that b is a positive number ≠ 1, and x - h > 0. A logarithmic function is transformed into the equation: f ( x ) = 4 + 3 log ⁡

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How many cubic centimetres of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16 cm, the iron being 2 cm thick throughout? If 1 cubic cm of iron weighs 15 g. find the weight of the open box in kg​

Answers

The volume of the open box is 36 cm x 25 cm x 16 cm = 14,400 cm3. Since the iron is 2 cm thick throughout, the volume of iron in the box is 14,400 cm3 x 2 cm = 28,800 cm3.

The weight of the open box in kg is 28,800 cm3 x 15 g/cm3 = 432,000 g = 432 kg.

Hope this helps!

A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. Which box has the greater lateral surface area and by how much

Answers

On solving the provided question, we can say that So, the total surface area of cuboid is larger by (610 — 600 = IO) cm2

what is cuboid?

A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.

(Lateral surface area of cube = 4edge2

lateral surface area of cuboid =2h (l + b)

[tex]2 x 8(12.5+ 10)\\= 16 x 22.5\\= 360\\[/tex]

lateral surface area of the cube is larger by (400

- 360

= 40)cm2

Total surface area of cube = 6edge2

= 600

lateral surface area of cuboid

[tex]=2 (lb + bh + hl)\\2(12.5 x 10+ x 8+8 x 12.5)\\= 2 (125 + 80 + 100)\\= 610[/tex]

So, the total surface area of cuboid is larger by (610 — 600 = IO) cm2

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Two tangents each intersect a circle at opposite endpoints of the same diameter. Is it possible for the two tangents to intersect each other outside the circle

Answers

No, the tangents cannot intersect outside the circle.

When tangents intersect outside a circle, the measure of the angle they form is one half the difference of the intercepted arcs. Since the tangents are at the endpoints of the same diameter, both intercepted arcs would have to measure 180 degrees.

tangent

a tangent is the line drawn from an external point and passes through a point on the curve.

One real-life example of a tangent is when you ride a bicycle, every point on the circumference of the wheel makes a tangent with the road.

curve

A curve is a shape or a line which is smoothly drawn in a plane having a bent or turns in it.

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Consider the expression.

2x (x + 3y) +5 (2x - 2)

How many terms does the expression have when simplified completely?

Answers

When given expression 2x (x + 3y) +5 (2x - 2) simplified completely then it would have 4 terms.

Consider given expression.

2x (x + 3y) +5 (2x - 2)

We simplify above expression.

2x (x + 3y) +5 (2x - 2)

= [(2x × x) + (2x × 3y)] + [(5 × 2x) - (5 × 2)]       ......(distributive property)

= [2x² + (2 × 3)xy] + [(5×2)x - 10]               ............(commutative property)

= (2x² + 6xy) + (10x - 10)

= 2x² + 6xy + 10x - 10

= 2x² + 10x + 6xy - 10     ...........(by commutative property of addition)

when given expression simplified completely then it would be,

2x (x + 3y) +5 (2x - 2) = 2x² + 10x + 6xy - 10    

The number of terms in an expression 2x² + 10x + 6xy - 10 are 4

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The table shows the lowest elevations for several countries. The
lowest elevation in the United States is -86 meters. Between the
elevations of which two countries is the elevation for the United
States?
Country
Argentina
China
Egypt
Ethiopia
Libya
Morocco
Lowest
Elevation (m)
-105
-154
-133
-125
-47
-55

Answers

The lowest elevation in the United States is -86 meters. This is lower than the lowest elevation in Morocco, which is -55 meters, but higher than the lowest elevation in Ethiopia, which is -125 meters. Therefore, the elevation for the United States is between the elevations of Ethiopia and Morocco.

What is the degree of polynomial 5x³ 4x² 7x?

Answers

The degree of polynomial in 5x³ 4x² 7x is 3, since the highest power of variable is 3.

What is degree of polynomial?

The degree of polynomials, which determines the maximum number of solutions a function could have and how frequently a function will cross the x-axis on a graph, is one of the key ideas in mathematics. Polynomials are also important because they help us understand how functions can be represented mathematically. In the equation involving polynomials, it has the highest exponential power.

In a polynomial equation, a variable's greatest power is its degree. Only the terms with variables are taken into consideration when calculating a polynomial function's degree. The polynomials degree can be determined by looking at the variable term's highest exponential power.

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Hanna is recovering
hundreds of treasure chests from an ancient
shipwreck. She is able to
récover 8 chests every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
10

Answers

Answer:

12

5

Step-by-step explanation:

if 8 chests = 4hrs

then X chests= 6hrs

cross multiply

48=4x

divide by 4

X= 12

repeat the same for the second using any and you'd get 5

What are the properties of a 3 4 5 triangle?

Answers

The right angle with in 3-4-5 triangle is naturally 90 degrees. Always opposite the fourth side, at 53.13 degrees, are the other two angles: 36.87 degrees (just opposite the 3rd side).

Explain the 3 4 5 triangle and its properties?

Specialized triangles, such as 3-4-5 triangles, can be solved using the Pythagorean theorem.

Any triangle with a single right (90°) angle is referred to as a right triangle. Typically, a tiny square marker is placed within the right triangle to denote this. In every right triangle, these two sides closest to the right angle are shorter than the hypotenuse, the side directly across from the right angle. A right triangle with integers on each side is known as a Pythagorean triple.

Thus, this 3-4-5 right triangle is one of the most well-known Pythagorean triples. The hypotenuse, its longest side opposite its right angle, is measured at 5, while the shorter sides measure at 3 and 4.

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For every 4 children in the class who don’t have glasses 1 student does. If there are 20 students in the class, how many of them have glasses?

Answers

Probability: 1/4 times 20 = 5

Which is a correct expansion of (4x + 1)(2x7 - 2)?

Answers

Answer:

So the correct expansion of (4x + 1)(2x7 - 2) is 8x^27 - 8x2 + 2x7 - 2

Step-by-step explanation:

When expanding an algebraic expression like (4x + 1)(2x7 - 2), you can use the distributive property to find the product of each term in the first set of parentheses with each term in the second set of parentheses, and then add them together. The distributive property is the process of multiplying one term in the parentheses by each of the terms outside the parentheses.

Here is the correct expansion of (4x + 1)(2x7 - 2):

(4x + 1)(2x7 - 2) = 4x(2x7) + 4x(-2) + 1(2x7) + 1(-2)

= 8x^27 + -8x2 + 2x71 + -21

= 8x^27 + -8x2 + 2x7 + -2

= 8x^27 - 8x2 + 2x7 - 2

So the correct expansion of (4x + 1)(2x7 - 2) is 8x^27 - 8x2 + 2x7 - 2

It's important to note that you can also use FOIL method which is the acronym for the steps of the distributive property, First, Outside, Inside, Last.

Use the parabola tool to graph the quadratic function f(x)=-5x2-2

Answers

Answer:

To graph the quadratic function f(x) = -5x^2 - 2, we can use the parabola tool.

First, let's plot the vertex of the parabola. The vertex is the highest or lowest point on the graph of a parabola, and it is located at the point (h, k), where h is the value of the x-coordinate and k is the value of the y-coordinate.

For the quadratic function f(x) = -5x^2 - 2, the vertex is located at the point (0, -2).

Next, we can use the parabola tool to draw the graph of the quadratic function. To do this, we need to set the value of a, b, and c in the equation y = a(x - h)^2 + k. For the quadratic function f(x) = -5x^2 - 2, the values of a, b, and c are -5, 0, and -2, respectively.

Therefore, the equation of the graph of the quadratic function f(x) = -5x^2 - 2 is y = -5(x - 0)^2 - 2.

Using the parabola tool, we can draw the graph of the quadratic function by plotting several points on the graph and connecting them with a smooth curve.

The graph of the quadratic function f(x) = -5x^2 - 2 is a downward-facing parabola with its vertex at the point (0, -2). The graph opens downward because the value of a is negative. The parabola is symmetrical about the y-axis because the value of h is 0. The graph passes through the y-intercept (0, -2) because the value of k is -2.

Step-by-step explanation:

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