Mathematics High School

Help with math problems

Answers

Answer 1

In the given picture there is a graph and we have to find out is that graph is one to one or not.

It is a one to one graph.

In the graph there is line.

To know is the line is one to one or not we have to check 1st that the line is a function or not.

To check the line is function or not we have to do by vertical line test.

Graphically, the vertical line test is a way to determine if a line is a function or not.

To perform the vertical line test, we pass the vertical lines arrows the graph and if it does not intersect the graph more then one point it passes the vertical line then it can say as a function.

In the given figure1 we can see the vertical lines does not touch the line in the graph more then one point so it is a function.

Now, we know the line is a function so now we have to check if the line is one to one or not.

To check the line is one to one or not we have to do by horizontal line test.

Graphically, the horizontal line test is a way to determine if a line is a one to one or not.

To perform the horizontal line test, we pass the horizontal lines arrows the graph and if it does not intersect the graph more then one point it passes the horizontal line then it can say as a one to one function.

In the given figure2 we can see the horizontal lines does not touch the line in the graph more then one point so it is a one to one function.

Therefore, The graph is a one to one function.

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Related Questions

in a recently published sociology article about transportation patterns, a sociologist studied whether families rely on their own transportation instead of public transportation. let the mean number of cars owned by a family be μ. if the sociologist wanted to know if families own, on average, more than 3 cars, what are the null and alternative hypotheses?

Answers

The null hypothesis is [tex]H_0:\mu=3[/tex] and the alternative hypothesis is [tex]H_1:\mu > 3[/tex]

There are two hypothesis considered in a statistical test. They are:

Null hypothesis ([tex]H_0[/tex])Alternative hypothesis ([tex]H_1[/tex])

Formulation of null and alternative hypothesis are considered as the first step of a statistical procedure. The whole procedure, then, continues on testing whether to accept or reject these hypotheses.

Null Hypothesis is the actual hypothesis which is tested. Alternative hypothesis, as its name suggests, is the hypothesis accepted when the null hypothesis is rejected in the test carried out.

Here the sociologist is carrying out the test on the mean number of cars, [tex]\mu[/tex].

So to check whether the families own more than 3 cars in average,

the null hypothesis will be ,[tex]\bold{H_0:\mu=3}[/tex]

and the alternate hypothesis will be, [tex]\bold{H_1:\mu > 3}[/tex]

So if the null hypothesis is rejected, then there is the possibility for only more than 3 cars in average.

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one side of an isosceles triangle is three times as long as another side of the triangle. If the perimeterof the triangle is 140, then what is the length of the base of the triangle?

Answers

Answer:

Step-by-step explanation:

P, perimeter of triangle = a + b + c

We're given P = 140 and it is an isosceles triangle.

We can change P to be 2a + b since 2 sides are equal in an isosceles

So, 140 = 2a + b

One side is 3x longer than the other. The equal sides in the triangle can not be 3x longer than each other since it is equal.

And the isosceles sides are longer than the 1 base side.

So if a = our isosceles sides, and b is our base side, than a is 3x our base side which can be written as a = 3b

Now, 140 = 2(3b) + b, and we can now solve

140 = 6b + b => 140 = 7b

20 = b

Our base length is 20.

Find the midpoint of segment CD if C is (1,7) and D is (9, 13).

Answers

Hi
Check out the attached photo

Please help me please help

Answers

Answer:

Step-by-step explanation: ok so divide by 647

If triangle GHJ is isosceles find the value of x

Answers

Answer:

x = 5

Step-by-step explanation:

Because an isosceles triangle's angles will always add up to 180, it's quite simple plugging in angle J into a formula to find our answer.

Before we begin, recall that the bottom two angles of an isosceles triangle are equal to the other. Thus:

Unknown angle (H) = 14x+1

So...

38 + 14x + 1 + 14 x + 1 = 180

40 + 28x = 180
-40 -40
28x = 180

28x/28 = 180/28

We get:
x = 5

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Note that:

Base Angles Of An Isosceles Triangle Are Equal.

Calculating For the Value Of X

Since Base Angles are Equal

(14x + 1)° + (14x +1)° +38° = 180°

Removing Brackets

14x + 1 + 14x + 1 + 38 = 180°

28x + 2 + 38 = 180°

28x + 40 = 180°

collecting like term

28x = 180 - 40

28x = 140

x =5

Therefore the value of x is 5

Or an airplane cruises 1 kilometer in 1 12 of a minute. what is its cruising speed? simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

The airplane that cruises 1 kilometer in 1/12 of a minute has a speed of 12 km/min

The formula and procedure we will use to solve this problem is:

v = x/t

Where:

x = distancet = timev = velocity

Information about the problem:

x =1 kmt = 1/12 minv =?

Applying the velocity formula, we get:

v = 1 km/ (1/12 min)

v = (1 km * 12) / 1 min

v = 12 km/ 1 min

v = 12 km/min

What is velocity?

It is a physical quantity that indicates the displacement of a mobile per unit of time, it is expressed in units of distance per time, for example (miles/h, km/h).

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The wind blew away 28 of your muffins. That was 7/10 of all of them! With how many did you start? As Equation Review

Answers

The total number of muffins were 40 and the equation which represnts the given scenarion is (7/10)x = 28.

Let the total number of muffins be x.

According to the given question.

The number of muffins which blew away by wind = 28

And 28 muffins are the 7/10 part of the total muffins.

Therefore, the linear equation in one variable which represents the above scenario is given by

(7/10) × x = 28

⇒ 7x = 280 (multiplying both the sides by 10)

⇒ x = 280/7 (dividing both the sides by 7)

⇒ x = 40

Hence, the total number of muffins were 40 and the equation which represnts the given scenarion is (7/10)x = 28.

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Find the perimeter of the polygon.
37
54
48

Answers

perimeter is just all sides added so the answer would be 37+54+48 = 139

Pls help due today plssss

Answers

The equation for the straight line given in standard form and slope intercept form are-

y = -2x +5 ; Slope intercept form2x + 3y = 6: Standard formy = 12x - 5 : Slope intercept form4y = 2x + 3 : Standard formWhat is meant by equation of straight line?

Straight lines can appear geometrically in five different cases in two dimensional space and are mathematically expressed in algebraic equation form. It is known as the general or standard form of a straight line.

The general equation of any straight line is y = mx + c, where m is the gradient (how steep the same line is) and c is indeed the y -intercept.This is the slope-intercept form of a straight line equation. A line can be described in a variety of ways. The formula of a line with slope m, for example, (x1,y1) has the point-slope form.The formula 0 = Ax + By + C is known as the 'general form' of a line equation. A, B, and C are real numbers.

Comparing the given equations with the general equation-

y = -2x +5 ; Slope intercept form2x + 3y = 6: Standard formy = 12x - 5 : Slope intercept form4y = 2x + 3 : Standard form

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help me please I have a few minutes left

Answers

Answer:

Step-by-step explanation:

1st option. -27. is the answer

Answer: -22.5

Step-by-step explanation:

-12.5+(-10)=

-12.5-10=

-22.5

Simplify (step by step)
(-2)(-3) - (8)(-3) + (9)(-2)

Answers

Answer:

Step-by-step explanation:

Write the algebraic expression for the sum of k and l divided by the sum of d and e pill

Answers

The algebraic expression for the sum of (k) and (l) divided by the sum of (d) and (e) is: (k + I) / (d + e) =

To solve this problem, we have to state the equation using the information of the problem:

Algebraic Expression:

"the sum of (k) and (l) divided by the sum of (d) and (e)"

(k + I) / (d + e) =

What are algebraic operations?

We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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What if the large ferris wheel makes one revolution in 10 seconds and the small wheel makes one revolution in 7 seconds, how many revolutions will each ferris wheel need to complete before you and your sister are at the bottom at the same time?

Answers

For you and your sister to reach bottom at the same time, the large Ferris wheel has to take 7 revolutions and the small Ferris wheel has to take 10 revolutions.

Time taken by the large Ferris wheel to complete 1 revolution = 10 seconds.

Time taken by the small Ferris wheel to complete 1 revolution = 7 seconds.

For them to reach bottom at the same time, we need to calculate their least common multiple.

LCM of 10 and 7 will be :

LCM = 10 × 7 = 70 seconds.

Revolutions taken by large Ferris wheel will be = 70 / 10 = 7 revolutions.

Revolutions taken by small Ferris wheel will be 70 / 7 = 10 revolutions.

Therefore, for you and your sister to reach bottom at the same time, the large Ferris wheel has to take 7 revolutions and the small Ferris wheel has to take 10 revolutions.

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3x = 8 + 3x

0 = 8

NO ANSWER

Solve the system of equations : 5x - 2y = -1 and -15x + 6y = 3

Answers

Answer:

1st Q.

x = -1/5 + 2y/5y = 1/2 + 5x/2

2nd Q.

x = -1/5 + 2y/5y = 1/2 + 5x/2

300 people were asked the following question: how many times have you accessed the internet this week? - none - once or twice - three or four times - more than four times which method of displaying the data could be used to display the data produced from that question?

Answers

(B) Bar graph method of displaying the data could be used to display the data produced from that question.

What is a bar graph?A bar chart, also known as a bar graph, is a type of chart or graph that displays categorical data using rectangular bars with heights or lengths proportional to the values they represent. The bars can be plotted horizontally or vertically. A vertical bar chart is also known as a column chart.A bar graph compares two or more discrete categories. The chart's one axis represents the specific categories being compared, while the other axis represents a measured value.Some bar graphs show bars clustered in groups of more than one, displaying the values of multiple measured variables.

Therefore, (B) bar graph method of displaying the data could be used to display the data produced from that question.

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The correct answer is given below:

300 people were asked the following question: How many times have you accessed the internet this week?

- none

- once or twice

- three or four times

- more than four times

Which method of displaying the data could be used to display the data produced from that question?

(a) Time Plot

(b) Bar graph

(d) Histogram

Evaluate 1.8 raised to the seventh power divided by 1.8 raised to the sixth power, all raised to the second power. 1 1.8 3.24 3.6

Answers

The value is 3. 24. Option C

What is index form?

Index form is defined as the power or exponent that is raised to a number or a variable.

From the information given, we have the expression to be represented as;

[tex](\frac{(1.8)^7}{1. 8^6} )^2[/tex]

Now, we have to expand the exponential value of the bracket, we have;

[tex]\frac{(1. 8)^7^*^2}{(1. 8)^6^*^2}[/tex]

expand the bracket

[tex]\frac{(1.8)^1^4}{(1.8)^1^2}[/tex]

Using the laws of laws of indices, take the inverse of the denominator

(1. 8)^14-12

(1. 8)²

3. 24

Thus, the value is 3. 24. Option C

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Rise = vertical distance across the line

Run = horizontal distance across the line

In the graph given, we have:

Rise is the blue line = 6 units

Run is the red line = 9 units

Slope of the line (m) = 6 units/9 units

Slope of the line (m) = 2/3

Therefore, In simplest form, the slope of the line = rise/run = 2/3.

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