Is the following relation a function? Justify your answer.

No, because there is an input value with more than one output value
No, because there is an output value with more than one input value
Yes, because each input value has only one output value
Yes, because each output value has only one input value

Solution:

Using the formula;

Thus;

ANSWER: $33

Angle (D) = m(D) = 50°, CDE provides the following: 3. angles

CDE provides the following: 3. angles

The total of the angles in a triangle is 180 degrees, so:

From both sides, deduct 36 as follows:

From the aforementioned query, we are requested to determine:

Hence:

Therefore, angle (D) = m(D) = 50°, CDE provides the following: 3. angles

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The Solution To Question Number 10:

The question says what operations would the set of quadratics be closed under.

Let the sets of quadratics be

The set of two quadratics (polynomials) is closed under Addition.

Explanation:

The set of two quadratics is closed under Subtraction.

The set of quadratics is not closed under Multiplication.

The set of quadratics is not closed under Division.

26

Here, we want to write a range of values for x.

The shape we have is not a parallelogram but we have two equal sides

If it was a complete parallelogram, the two marked angles will be equal

But since what we have is not a complete parallelogram,

then;

Let be "n" Irene's height (in inches), "t" Theresa's height (in inches) and "j" Jane's height (in inches).

You know Irene's height:

You can write the Mixed number as an Improper fraction as following:

- Multiply the Whole number by the denominator.

- Add the product to the numerator.

- Use the same denominator.

Then:

Now convert the other Mixed numbers to Improper fractions:

Based on the information given in the exercise, you can set up the following equation that represents Theresa's height:

Adding the fractions, you get:

Now you can set up this equation for Jane's height:

The price of one adult ticket is $9 and the price of child ticket is $8

First day of ticket sales the school sold 4 adult tickets and 9 child tickets for a total of $108

Consider the price of adult ticket as x and child ticket as y

Then the equation will be

4x+9y = 108

Similarly the school took in $114 on the second day by selling 10 adult tickets and 3 child tickets

10x+3y = 114

Here we have to use the elimination method

Multiply the first equation by 10 and second equation by 4

40x+90y = 1080

40x+12y = 456

Subtract the equation 2 from equation 1

90y-12y = 1080-456

78y = 624

y = 624/78

y = $8

Substitute the value of y in any equation

10x+3y =114

10x+3×8 =114

10x +24 =114

10x = 90

x = 90/10

x = $9

Hence, the price of one adult ticket is $9 and the price of child ticket is $8

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The vertex-form equation of the parabola is given as follows:

y = 1/10(y - 3)² - 3/2.

An horizontal parabola of vertex (h,k) is modeled as follows:

x = (1/4p)(y - k)² + h.

In which:

In the context of this problem, we have that:

A system of equations is built for h and p as follows:

Hence:

2h = -3

h = -3/2.

p = 1 + 3/2 = 2.5.

Then the equation is:

y = 1/10(y - 3)² - 3/2. (first option).

The graph is given by the image at the end of the answer.

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The system of equation are:

to solve this problem we can solve the second equation for x so:

Now we can replace x in the firt equation so:

and we can solve for y so:

Now we replace the value of y in the secon equation so:

So the solution as a ordered pair is:

Answer:

Step-by-step explanation:

At the beginning of the day, the temperature was of x.

It dropped 21 degrees to -9C. So

x - 21 = -9

x =

The situation forms a right triangle:

Where x is the distance traveled.

We can apply the Pythagorean theorem:

c^2 =a^2 + b^2

Where:

c= hypotenuse = x

a & b= the other 2 sides = 5 ,12

Replacing:

x^2 = 5^2 + 12^2

x^2 = 25+144

x^2 = 169

x= √169

x= 13

Distance traveled = 13 miles

Given the function

The graph of the function is as shown below:

ThereforeGiven the image, we can find the missing angle using the sum of angles at a point rule.

The sum of angles at a point is known to be 360 degrees.

Therfore,

Therefore, the measure of "a" is

Answer:

ANSWER:

0.475

STEP-BY-STEP EXPLANATION:

The probability of a person has disease given the test is positive:

P (disease) = 3.8% = 0.038

P (positive | disease) = 93.9% = 0.939

P (positive | no disease) = 4.1% = 0.041

P (no disease) = 100% - 3.8% = 96.2% = 0.962

The probability that the person has the disease given that the test result is positive is calculated as follows:

The correct answer is the first option: 0.475

1) Given these line segments, let's find the slope of them. Let's begin with AB

2) Parallel lines have the same slope, so let's set this slope formula so that we can get the slope m=2. Bearing in mind CD:

Thus, x=-1

The inequality is:

now we solve the inequality for x

This means that all the number, from -1 to infinit are solution of the inequality, and the only option that is not a solution is a) -2

The smallest degree of rotation is achieved through the division of the full circumference over the total number of sides

The answer would be 3.75°

Answer

11) a > 3

12) b > (2/3)

Explanation

11) a - 15 > -4 (-6 + 3a)

a - 15 > 24 - 12a

a + 12a > 24 + 15

13a > 39

Divide both sides by 13

(13a/13) > (39/13)

a > 3

In graphing inequality equations, the first thing to note is that whenever the equation to be graphed has (< or >), the circle at the beginning of the arrow is usually unshaded.

But whenever the inequality has either (≤ or ≥), the circle at the beginning of the arrow will be shaded.

Then, the direction of the graph depends on the direction of the inequality sign, for example, the answer here says a is greater than 3. So, the graph will start with an unshaded circle and cover the numbers greater than 3.

12) 3 (6b - 2) > (8 - 3b)

18b - 6 > 8 - 3b

18b + 3b > 8 + 6

21b > 14

Divide both sides by 21

(21b/21) > (14/21)

b > (2/3)

This answer is similar to that of number 11. For the graph, it will start with an unshaded circle and move towards the numbers greater than (2/3)

Hope this Helps!!!

y= 11 + 4x

3x +2y = 0

Put the first equation into the second one. (replace the value of y)

3x +2 (11 + 4x) = 0

Solve for x:

3x + 22 + 8x = 0

3x+8x = -22

11x = -22

x = -22/11

x = -2

Replace x=-2 in the first equation and solve for y

y= 11 + 4 (-2)

y= 11-8

y= 3

Solution:

x= -2 , y=3

It is to be noted that the slope of the line is 5/2. This means that 5 mm of rain falls every 2 hours. See the calculation below.

In general, the slope of a line indicates its gradient and direction. The slope of a straight line between two locations, say (x₁,y₁) and (x₂,y₂), may be simply calculated by subtracting the coordinates of the places. The slope is often denoted by the letter 'm.'

To find the slope of the line in the graph, we use the following equation:

m = [y₂ - y₁]/[x₂-x₁]

Where (x1,y1) = coordinates of the first point in the line; and

(x₂,y₂) = coordinates of the second point in the line

Given that the points (2, 5) from the graph is (x₁, y₁) and the point on graph (4, 10) are (x₂,y₂) Hence,

m = [10-5]/[4-2]

The slope (m) = 5/2

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Full Question:

This is the complete question and the described graph is attached

This graph shows the amount of rain that falls in a given amount of time.

What is the slope of the line and what does it mean in this situation?

Select from the drop-down menus to correctly complete each statement

The slope of the line is ___

This means that ___ mm of rain falls every ___

A.

This is a question of graphical operations with vectors. In order to get the answer, you must draw vector B with inverse direction, and place the tail of said vector on top of the arrow of vector A. Check the attached image.

Hence, the answer that better represent the resulting vector is answer A.

A.

This is a question of graphical operations with vectors. In order to get the answer, you must draw vector B with inverse direction, and place the tail of said vector on top of the arrow of vector A. Check the attached image.

Hence, the answer that better represent the resulting vector is answer A.

Solution:

Given the graph;

The axis of symmetry and vertex of the graph are;

Also, the x-intercepts are;

And the y-intercep is;

Thus, the function that best represents the graph is;

CORRECT OPTION: C

In this case r =3, h= 7

In this case,

r=3, h=7

Hence

volume of cone + volume of cylinder = 263.89 cube units

the triangle is ACD is equal to the triangle CBE so let write all the information we have in the figure so:

And for oposit angles we know that then angle BCE = to the angle ACD, so we have two angles and ine side equal so the triangles are similar

by: ASA

Explanation

The question wants us to select all the domains in the set of functions graphed.

The domain of a function is the set of all possible inputs for the function.

To do so, we have to be aware that there are 3 pieces of functions

These are shown below

These are

The correlation could be positive, meaning both variables move in the same direction,

If it is negative, meaning that when one variable's value increases, the other variables' values decrease.

Since the correlation between the 2 variables is -16

Since -16 is a negative value

Then The answer should be

There is a weak negative association between variables

The strong negative correlation should be between 0 and -1

According to the factor theorem, if "a" is any real integer and "f(x)" is a polynomial of degree n larger than or equal to 1, then (x - a) is a factor of f(x) if f(a) = 0. Finding the polynomials' n roots and factoring them are two of their principal applications.

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The given polynomial is:

Using the long division method:

The equattion can be written in the form:

Quotient + Remainder / Divisor

1) To add or subtract fractions, let's firstly check the denominators

In this case, the denominator is the same.

The plus before the bracket does not change the sign.

That is why we get to -3/13 as a result.

Reflexive Property

In Math, especially in geometry, but also in other fiels.

What we have here is the Reflexive Property, that states that

If a= b+c then b+c=a

Multiplicative Identity

The multiplicative identity is the number 1, so every number times 1 is equal to itself and this property is called multiplicative identity.

Let's define:

x: pairs of shoes of Shanice

y: pairs of shoes of Ron

Shanice has 4 times as much many pairs of shoes as does her brother Ron, means:

x = 4y (eq. 1)

If Shanice gives Ron 12 pairs of shoes, she will have twice as many pairs of shoes as Ron does, means:

x - 12 = 2y (eq. 2)

Replacing equation 1 into equation 2:

4y - 12 = 2y

4y - 2y = 12

2y = 12

y = 12/2

y = 6

and

x = 4*6 = 24

After she gives Ron the shoes, she will have left 24-12 = 12 pairs of shoes