complete the statement for the graph of the domain of the function is

The absolute value functions graphed are given as follows:

1. y = |x + 1|.

3. y = |x + 1| - 4.

4. y = 0.5(|x - 1| + 1)

An absolute value function of vertex (h,k) is defined by the following rule:

y = |x - h| + k.

For item 1, the vertex of the function is at point (-1,0), hence h = -1 and k = 0, and the rule is:

y = |x + 1|.

For item 3, the vertex of the function is at point (-1, -4), hence the coefficients are h = -1 and k = -4, and the rule is:

y = |x + 1| - 4.

For item 4, the vertex of the function is at point (1,1), and the function is also vertically compressed by a factor of 0.5, as when x changes by 2, y changes by 1, hence the rule is:

y = 0.5(|x - 1| + 1)

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Answer:

Option D is right

Step-by-step explanation:

It is correct .

√664 is the perimeter of the triangle .

What is a perimeter in math?

In this graph three points are given .

Let A = ( -9 , 3)

     B = ( 5 , 7 )

     C = ( -4 , -8 )

Distance between point AB = [tex]\sqrt{( 5 + 9 )^{2} + ( 7 - 3 )^{2} }[/tex]

                                             = [tex]\sqrt{( 14)^{2} + ( 4)^{2} }[/tex]

                                             = [tex]\sqrt{196 + 16}[/tex]

                                              = √212

Distance between point BC = [tex]\sqrt{( -4 -5)^{2} + ( -8 -7 )^{2} }[/tex]

                                               = [tex]\sqrt{( -9)^{2} + ( -15)^{2} }[/tex]

                                               = [tex]\sqrt{ 81 + 225}[/tex]

                                               = √306

Distance between point CA = [tex]\sqrt{ ( -4 + 9)^{2} + ( - 8 - 3 )^{2} }[/tex]

                                               = [tex]\sqrt{(5)^{2} + ( - 11 )^{2} }[/tex]

                                               = [tex]\sqrt{25 + 121}[/tex]

                                               = √146

Perimeter of triangle = AB + BC + CA

                                  = √212 +  √306  +  √146

                                 = √664

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Answer:

1. n + 7 ≤ 9

2. 3w < 18

3. 3 < s + 4

4. 4 ≥ x/2.1

Yes, the equation 6x²-2y=7 will give a straight line.

Let's put the some values in equation for proof,

put x = 0, find y

6x² - 7 = 2y

6(0)² - 7 = 2y

y = -3.5

put x = 1, find y

6(1)² - 7 = 2y

y = -1/2 or -0.5

put x = 2, find y

6(2)² - 7 = 2y

y = 8.5

we get the some of the points to plot in graph,

The points are (0, -3.5) (1, -0.5) (2, 8.5)

Plot these points on graph you'll get a straight line.

Therefore, we can say that 6x²-2y=7 will give a straight line.

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Answer:

X > -5

if the bubble were shaded in, it would be >

After conducting some mathematical operations, we know that the cost of 13 packages of pencils of $16.77.

So, the cost of 13 packages of pencils:

Then, obtain the cost of 13 packages of pencils as follows:

Therefore, after conducting some mathematical operations, we know that the cost of 13 packages of pencils of $16.77.

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In the standard conversion unit, 24 m/s equals 54 mph in mph

The conversion equation is given as

8 km/h = 5 mph

Convert 8 km to meters

So, we have the following equation

8 x 1000 m/h = 5 mph

Evaluate the products

So, we have the following equation

8000 m/h = 5 mph

Convert 1 hour to seconds

So, we have the following equation

8000 m/3600 s = 5 mph

Evaluate the quotient

So, we have the following equation

20/9 m/s = 5 mph

Multiply both sides by 9/20

1 m/s = 9/20 * 5 mph

Multiply both sides by 24

24 * 1 m/s = 24 * 9/20 * 5 mph

Evaluate the products

24 m/s = 54 mph

Hence, the equivalent of 24 m/s in mph is 54 mph

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First we have to calculate 20% of 240

Let's multiply 240 by 20/100, therefore the result is 48

Then we subtract 48 from 240, the result is 192

The answer is $192.

Answer: ..

Step-by-step explanation:

Wed: 0%

Thu: 30%

Fri: 50%

Sat: 80%

Sun: 100%

I got these answers by taking 100, and subtracting the rain percentage from it. For instance, if it was a 45% to rain, and a unknown amount for it to not rain, I would take 100 and subtract 45 from it, resulting in a 55% chance of it not raining.

Correct answers are B, C , E & F.

Step-by-step explanation:

Part A) sin(X)

we know that

The sine of angle X is equal to dividing the opposite side angle X by the hypotenuse

so

Sin (X) = ZY/ZX

substituting the values
Sin (X) = 5/13

Part B) tan(Z)

we know that

The tangent of angle Z is equal to dividing the opposite side angle Z  by the adjacent side to angle Z

so

Tan(Z) = XY/YZ

substituting the values

Tan(Z) = 12/5

Part C) Cosec(Z)

we know that

The cosecant of angle Z is equal to dividing the adjacent side angle Z by the  perpendicular

so

Cosec(Z) = ZX/YX

substituting the values

Cosec(Z) = 13/12

Part D) Sec(X)

we know that

The secant of angle X is equal to divide the adjacent side angle X by the  base

so

Sec(X) = ZX/ZY

substituting the values

Sec(X) = 12/13

Part E) cos(Z)

we know that

The cosine of angle Z is equal to divide the adjacent side angle Z by the  hypotenuse

so

Cos(Z) = ZY/ZX

substituting the values

Cos(Z) = 5/13

Part F) Cot(X)

we know that

The cotangent of angle X is equal to dividing the adjacent side of angle X  by the opposite side to angle X.

so

Cot(X) = XY/YZ

substituting the values

Cot(X) = 12/5

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60 liters of 50% and 20 liters of 90% solution should be used.

By mixture and allegation

90                 50

          60

10                  30

10:30 = 1:3

We must mix the acid solution in a 1:3 ratio.

For 1 liter of 60% acid solution, we must use 1l 90% acid solution and 3l  50% acid solutions.

Then for 20 l of 60% acid solution, 1*20 = 20 l of 90% acid solution and 3 * 20 = 60 l of 50% acid solution should be used.

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Answer:

28

Step-by-step explanation:

1 0/4 = 8

2 0/4 = 16, so 3 0/4 = 24.

2/4 = 1/2, and 2/4 has 4 grams.

24 + 4 = 28.

Answer:  The correct answer is y= -8

Step-by-step explanation:  A line with a slope of zero is a horizontal line. In this case, the horizontal line intersects the y-axis at -8 and includes all values of x.

A. The function that models the inverse variation is y = 144/x

b. The value of x when y = 36 is 4

An inverse variation simply shows the relationship between two variables whereby when one value increases, the other value will decrease

1. In this case, x and y vary inversely and that x=48 when y=3. The inverse relationship will be:

y = k/x

3 = k/48

Cross multiply

k = 48 × 3

k = 144

Therefore, y = 144/x

2. When y is 36, x will be:.

y = 144/x

36 = 144/x

Cross multiply

36x = 144

Divide

x = 144 / 36

x = 4

The value of x is 4.

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Part a: There are 4735 ways in which the event planner can choose 9 dishes if the number of hot dishes must be greater than or equal to 7

Part b: There are 91963 ways in which the event planner chooses 9 dishes if the number of hot dishes must be less than 7

Number of cold dishes = 9

Number of hot dishes = 10

Total number of dishes = 19

Part a:

The number of ways 9 dishes can be chosen, given the number of hot dishes, must be greater than or equal to 7:

= (¹⁰C₇*⁹C₂) + (¹⁰C₈*⁹C₁) + ¹⁰C₉

= 4320 + 405 + 10

= 4735 ways

Part b:

Choosing 9 dishes, when the number of hot dishes must be less than 7

= (¹⁰C₇*⁹C₂) + (¹⁰C₆*⁹C₃) + (¹⁰C₅*⁹C₄) + (¹⁰C₄*⁹C₅) + (¹⁰C₃*⁹C₆) + (¹⁰C₂*⁹C₇) + (¹⁰C₁*⁹C₈) + (¹⁰C₀*⁹C₉)

= 4320 + 17640 + 31752 + 26460 + 10080 + 1620 + 90 +1

= 91963 ways

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PAGE 1

1.) 5 x 7 + 5 x 3 = 50

2.) 3 x 3 + 3 x 4 = 21

3.) 2 x 8 + 2 x 8 = 32

4.) 6 x 8  - 6 x 5  = 18

5.) -3 x 9 - (-3) x 2 = (-21)

6.) -2 x 8 - (-2) x 4 = (-8)

PAGE 2

1.) 2 x 3 + X

2.) 5 x 6 + Y

3.) 7 x 8 + Y

4.) 9 x 2 - M

5.) 15 x 3 - S

6.) -15 x 6 - A

[ Leave me a 5 star rate. ]

The time taken for the mixture to find the right amount of additive per gallon is 12.869 minutes.

The total amount of diesel into the tank = 1700 gallons

The mixture is added at the rate of 0.28 ounces per gallon.

The mixture is added at the rate of 25 gallon per minute.

Let us consider that the time taken is t minutes.

A mixture is a substance made up of two or more distinct chemical components that are not chemically bonded together. A mixture is a mixture of two or more substances that retain their identities while being mixed in the form of solutions, suspensions, and colloids.

Now in t minutes the mixture = 25 × .28 ×t = 7t

Now we will use the second part of the equation as:

The rate of 20gal/min. if there should be 14oz of additive for every 120 gallons of diesel fuel, how long will it take to reach the right mixture

Now we will use the mixture formula to calculate the e amount of diesel in the mixture.

Hence 0.20 × 14×120=336  × 65.11 = 21877.3

Now the diesel mixture will have

Therefore the equation formed is :

336t +7t = 21877.3

Solving we get t=21877.3.

Hence the time taken for the mixture to find the right amount of additive per gallon is 12.869 minutes.

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There are 2 parallel lines with the intersection. The angles of x=171° and y=9°.

Given that,

In the picture there is a diagram and we have to find the angle of x and y.

There are 2 parallel lines with the intersection.

If a transversal cuts two parallel lines, then the equivalent angles in the pair are equal.

The pair of corresponding angles are equal

x=19y

So,

We can say x and y are on the line

Then,

x+y=180°

19y+y=180°

20y=180°

y=180/20

y=9°

Now,

x=19y

x=19×9

x=171°

Therefore, the angles of x=171° and y=9°.

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We are given the following system of equations:

we are asked to determine if the point (0, 3) is a solution of the equation. To do that, we will replace the points x = 0 and y = 3 in each of the equations to see if they are both satisfied:

Replacing in equation (1):

Since equation (1) is not satisfied by the point this means that this is not a solution.

Answer:

the last one so it would be

0.890

Step-by-step explanation:

Answer:

9 bases were stolen by elena

Step-by-step explanation:

Let n = number of bases stolen by Natasha

    e = number of bases stolen by Elena

So, n = 2e -3

So, if n=15,   15 = 2e-3   >>

e=9 bases stolen by Elena

If Natasha stole three fewer bases than twice the number Elena stole. If Natasha stole 15 bases, Then 9 bases did Elena steal

Two or more expressions with an Equal sign is called as Equation.

Given,

Natasha stole three fewer bases than twice the number Elena stole. If Natasha stole 15 bases, we need to find bases stolen by Elena.

Let N be the number of bases stolen by Natasha

E be the number of bases stolen by Elena

Natasha stole three fewer bases than twice the number Elena stole.

We can write this sentence as expression.

So, N= 2E -3

When Natasha stole 15 bases, then we need to find E

15=2E-3

Add 3 on both sides

18=2E

Divide both sides by 2

9=E

Hence 9 bases were Elena steal when Natasha steals 15.

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The population of bacteria in 8 hours will be 27,437.

It is given in the question that:-

Current population of bacteria = 12,800

Growth rate of bacteria = 10 % per hour

We have to find the population of bacteria in 8 hours.

As the growth of bacteria will be compounded per hour we can use the formula of compound amount to evaluate the population of bacteria in 8 hours.

Hence,

Amount of bacteria = Current population of bacteria(1 + Rate of growth/100)^(number of hours)

Let Amount of bacteria = A

Hence,

[tex]A=12800(1+10/100)^8[/tex]

[tex]A=12800(1+0.1)^8=12800(1.1)^8[/tex]

A = 12800*(2.14358881)

A = 27437.936768 ≈ 27438 bacteria.

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Answer:

The side length, s, of a cube is 4x^2 + 3. If V = s^3, what is the volume of the cube? The volume of the cube is 64 x^6 + 144x^4 + 108x^2 + 27.

Step-by-step explanation:

Hope this helps you

The difference in the birth rate and death rate of the herd of buffalo as indicated in the task content is; 6% net death rate.

The population is in a state of decay.

The exponential equation which models the population is; P = 125,000 (0.94)^n.

The population of the herd after 10 years would be; P = 67,327.

It follows from the task content that the average birth rate is 31% per year, but the death rate is 37% per year.

Hence, the difference between the birth rate and death rate is; 6% net death rate per year.

It therefore follows from the statement above that the population is in a state of decay as it reduces after each successive year due to.higher death rate than birth rate.

Also, since the difference between death and birth rate is a 6% net death rate.

It follows that the model is such that we have;

P = 125,000 (100% - 6%)^n

P = 125,000 (0.94)^n

where, P = current population and n = number of years after.

Finally, the population of the herd after 10 years would be;

P = 125,000 (0.94)¹⁰

P = 67,327.

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The statement that is true about the function f(x)=4[tex]x^{5}[/tex] is that the function is odd because f(-x)=-f(x).

Given that the function is f(x)=4[tex]x^{5}[/tex].

We are required to choose which statement is true for the given function.

Function is basically the relationship between two or more variables that are expressed in equal to form. The values that enter in the function are known as part of domain of the function and the values that we get from the function are known as part of range of the function.

f(x)=4[tex]x^{5}[/tex]

f(-x)=4[tex](-x)^{5}[/tex]

Since the power of negative x is odd so the result which we will get will be negative. So,

f(-x)=-4[tex]x^{5}[/tex]

f(-x)=-f(x)

So, the function is odd.

Hence the statement that is true about the function f(x)=4[tex]x^{5}[/tex] is that the function is odd because f(-x)=-f(x).

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Answer

The triangle might be an equilateral triangle.

False

The triangle must be a right triangle.

False

The triangle might be an acute triangle.

True

Explanation

First of, we will explain the different types of triangles that exist based on side lengths and angle measures respectively,

Based on side lengths,

- Scalene triangle has none of its three sides having the same length as another. All the three sides have different lengths. To use angle to know this, all the three angles of a Scalene triangle have different values.

- Isoscelles triangle has two of its sides with the same lengths. In terms of angles, an Isoscelles triangle has two of its angles equal to each other.

- Equilateral triangle has all of its sides equal to one another. In terms of angles, all of the angles of an Equilateral triangle are equal to one another. Each of the angle is equal to 60°.

Based on angle measures,

- Acute triangle has all of the angles in the triangle being less than 90 degrees.

- Right angle triangle has one of the angles in the triangles being equal to 90 degrees.

- Obtuse triangle has one of the angles in the triangle being greater than 90 degrees but obviously less than 180 degrees.

So, a sketch of the triangle described would look like

So, we can see that the triangle has two sides equal, hence, the two base angles will be equal to.

If we call those base angles, x,

x + x + 45° = 180°

2x = 180° - 45°

2x = 135°

Divide both sides by 2

(2x/2) = (135°/2)

x = 67.5°

Three angles of the triangle are 45°, 67.5° and 67.5°

So, taking the statements one at a time now

The triangle might be an equilateral triangle.

This statement is False since it is evident that all the angles of this triangle are not equal to one another, hence, the sides cannot all be equal too.

The triangle must be a right triangle.

This statement too, is False. None of the angles of the triangle is equal to 90°.

The triangle might be an acute triangle.

This statement is True. All of the angles of the triangle are less than 90°.

Hope this Helps!!!

Answer: x = 4

Step-by-step explanation:

4x = 16

Divide both sides by 4

x = 4

Answer:

4

Step-by-step explanation:

Because 4x=16, then divided both sides by 4.4÷4=1 times x =x and 16 ÷4=4. so the value of x is 4.

Answer:

f(x) is -1 and g(x) is 2 this is because f(x) intersect at -1 which is x axis and g(x) intersect 2 which is y axis

Area of standard football pitch is 7140 square m.

What is the area and perimeter of the rectangle?

Perimeter  is the total distance of the rectangle moves outside of it. The Perimeter  basically indicates the length of the shape. A rectangle has four sides, so the perimeter of the rectangle is the sum of all four sides. Perimeter is a linear measure, so rectangle perimeter units are meters, centimeters, inches, feet, and so on.

perimeter, P = 2 ( a+b) units

area = length × width = a × b

Area can be defined as the region covered by the rectangle in two-dimensional space. The area of ​​a rectangle can also be defined as the number of square units required to completely fill the rectangle.

Length of the standard football pitch = 105 m

Breadth of the standard football pitch = 68 m

Using, area of rectangle = Length × breadth

Area of standard football pitch = 105 × 68 = 7140 square m.

Hence, area of standard football pitch is 7140 square m.

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