Ms.Ryan is making a pyramid of kick-balls, the bottom layer has a side length of 5 balls, each layer going down the side length is one less then the previous one, how many balls will be on the side length 3 layers down?

I hope some one can solve this quickly, if not thats ok.

Answers

Answer 1

There are 2 balls on the side length 3 layers down in the pyramid.

What is a pyramid?

A pyramid is a three-dimensional figure. It has a flat polygon base. All the other faces are triangles and are called lateral faces.

Given that, Ms. Ryan is making a pyramid of kick-balls, the bottom layer has a side length of 5 balls, each layer going down the side length is one less than the previous one,

We need to find the number of balls 3 layers down,

Since, it is given that, there is reducing one balls as going down,

Therefore,

When we will go 3 layers down it will be 3 balls reduced, the layer from where we started is having 5 balls and after coming 3 layers down, the side layer will have = 5-3 = 2 balls.

Hence, there are 2 balls on the side length 3 layers down in the pyramid.

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Related Questions

Celine's Cupcakes recorded how many cupcakes it recently sold in each flavor. carrot cupcakes 8 pumpkin cupcakes 1 lemon cupcakes 6 Considering this data, how many of the next 20 cupcakes sold would you expect to be lemon cupcakes?

Answers

Number of lemon cupcakes in  next 20 cupcakes sold is 1.33.

What is Algebra?

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.

Given;

carrot cupcakes 8 pumpkin cupcakes 1 lemon cupcakes 6

Now,

For 20 cupcakes

Let the number of lemon cupcakes be x

8+6+1=1lemon

15=1lemon

20=1*20/15lemon

=4/3lemon

Therefore, by algebra the answer will be 1.33lemons

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Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles.

Which shows the correct equation and value of x , the distance of 1 lap around the path at the park?

Answers

The equation and value of x , the distance of 1 lap around the path at the park is 4.8x + 1.2 = 3.6.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Florian ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles.

As, we know the number of them (4.8) would be multiplied by the variable (x). We also know that 1.2 is the constant.

So, the equation can be framed as

4.8x + 1.2 = 3.6

4.8x = 2.4

x = 0.5

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The question attached here seems to be incomplete the remaining portion is given below:

3.6 x + 1.2 = 4.8; x = 1 mile

4.8 x + 1.2 = 3.6; x = 1 mile

3.6 x + 1.2 = 4.8; x = 0.5 mile

4.8 x + 1.2 = 3.6; x = 0.5 mile

5 x = negative 58

Can someone help? I need to know what the answers are for this. it’s trig btw!

Answers

The missing length of the geometric system of right triangles is equal to 15.833 centimeters.

How to find the missing length in a system of 10 right triangles

Herein we find the case of a geometric system formed by ten right triangles, whose missing length can be found by means Pythagorean theorem and trigonometric functions, whose definitions are shown below:

Pythagorean theorem

r = √(x² + y²)

Trigonometric function

cos θ = x / r

Where:

θ - Angle, in degrees.x - Leg adjacent to angle, in centimeters.y - Leg opposite to angle, in centimeters.r - Hypotenuse, in centimeters.

Now we proceed to determine the missing length:

First triangle:

x = 8 / cos 28°

x = 9.061

x' = 9.061 - 2.5

x' = 6.561

Second triangle

x = (6.561 + 3.6) · cos 11°

x = 9.974

x' = 9.974 - 2

x' = 7.974

Third triangle

x = √[(7.974 + 2.9)² - 3.8²]

x = 10.188

x' = 10.188 - 1

x' = 9.188

Fourth triangle

x = (9.188 + 3.2) · cos 43°

x = 9.060

x' = 9.060 - 1

x' = 8.060

Fifth triangle

x = (8.060 + 1) / cos 30°

x = 10.462

Sixth triangle

x = (10.462 + 3.2 + 1.9) · cos 19°

x = 14.714

Seventh triangle

x = (14.714 - 4.8 - 1.1) / cos 46°

x = 12.688

Eighth triangle

x = √[(12.688 + 1.7)² + 3.2²]

x = 14.740

Ninth triangle

x = (14.740 - 2.73) · cos 22°

x = 11.135

x' = 11.135 - 2.24

x' = 8.895

Tenth triangle

x = (8.895 + 6.9) / cos 4°

x = 15.833

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[tex]4.03 x 10x^{6}[/tex]

Answers

The simplified form of the given expression 4.03x + 10x⁶, is [tex]x(4.03x + 10x^5)[/tex]

What is an expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given that an expression 4.03x + 10x⁶

We need to simplify it,

4.03x + 10x⁶

Applying the exponent rule: [tex]a^{b+c}=a^ba^c[/tex]

[tex]x^6=x^5x[/tex]

[tex]=4.03x+10x^5x[/tex]

Factor out common term x,

[tex]=x\left(4.03+10x^5\right)[/tex]

Hence, the simplified form of the given expression 4.03x + 10x⁶, is [tex]x(4.03x + 10x^5)[/tex]

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Refer to the circle graph below. Suppose there are 300 students at York Middle School. Determine the number of students that have veggies as a snack.​

Answers

The number of students that have veggies as a snack is equal to 51 students according to the circle graph.

What is a circle graph?

A circle graph is also called a pie chart, and it can be defined as a type of graph that is used for the graphical representation of the proportional relationship between each part to a whole, especially by dividing a circle into various sectors or sections.

Given that, there are 300 students at a school, the number of students that have veggies as a snack can be calculated as follows;

Number of students that had veggies = 17/100 × 300

Number of students that had veggies = 0.17 × 300

Number of students that had veggies = 51 students.

Hence, the number of students that have veggies as a snack is equal to 51 students according to the circle graph.

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The complete question is :-

Refer to the circle graph below. Suppose there are 300 students at York Middle School. Determine the number of students that have veggies as a snack. No Snack 12% Fruit. 23% Chips · 18% Cheese 15% Veggies 17% L Cookies 15%​

For each blank you will type a letter for example blank 1 = a

Answers

The two rectangles are not similar because the scale factor is not the same.

What is the similarity?

Two objects are said to be comparable if they have the same shape. Therefore, two figures are said to be comparable in mathematics if they share the same shapes, lines, or angles.

If two figures have three sides similar then they will be similar by side-by-side property which is written as SSS.

Given dimension of the rectangle is 2 cm and 4 cm. The dimension of the second rectangle is 6 cm and 4 cm.

The scale factor for the two sides should be,

6 / 2 = 3

4 / 4 = 1

Since the scale factor is not constant so the rectangles are not similar.

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What is the area of the parallelogram?

Answers

Answer:

65 m²

Step-by-step explanation:

area of parallelogram = base × height

base = AB = 3 m + 10 m = 13 m

height = 5m

area = 13 m × 5 m

area = 65 m²

What are the Factors of 192?

Answers

Answer: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Step-by-step explanation:

To find all the factors of a number, multiply all the prime factors of the number in all possible solutions.

Which of the following statement(s) about multiple regression analysis is FALSE?A. Multiple regression analysis allows you to analyze more than one dependent (Y) variable at a time.B. Multicollinearity occurs when the X variables are highly correlated with the Y variable in multiple regression.C. Multicollinearity occurs when two or more of the X variables are highly correlated with one another.D. Both A and B are false statements.E. All of the statements above are false.

Answers

Multiple regression analysis analyze more than one dependent variable at a time and multicollinearity occurs when the X variables are highly correlated with the Y variable in multiple regression are false. Correct option is D.

The statement (A) that "Multiple regression analysis allows you to analyze more than one dependent (Y) variable at a time" is false. In multiple regression, there is only one dependent variable (Y) that is being predicted by a combination of independent variables (X).

The statement (B) that "Multicollinearity occurs when the X variables are highly correlated with the Y variable in multiple regression" is also false.

Multicollinearity occurs when two or more independent variables (X) are highly correlated with each other, which can cause problems in accurately estimating the effect of each independent variable on the dependent variable.

The statement (C) that "Multicollinearity occurs when two or more of the X variables are highly correlated with one another" is true.

Therefore, the correct answer is (D) "Both A and B are false statements."

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Use the figure shown for Items 1-4.
In the figure, m IJL= 0.5 m JIK.

Answers

The statements that must be true are

A. KL = 15

B. JL bisects overline IK

D. JL is the perpendicular bisector of overline IK .

2. JL = 15 units

3. angle IJK = 90

angle JKI = 45

angle kW = 45

How to find the value of x

The value of x is solved by the information given in the problem

IL = LK

3x = 2x + 5

solving for x

3x - 2x = 5

x = 5

angle IJL = 0.5 angle JIK,

< JIL = < KJL base angles of isosceles triangle

< JIL +  < LJI  + 90 = 180

< LKJ + < KJL + 90 = 180

equating both

< JIL +  < LJI  + 90 = < LKJ + < KJL + 90

< JIL +  < LJI  = < LKJ + < KJL

and  < JIL = < KJL

hence  < LJI  = < LKJ

we can therefore say that

< JIL = < LJI = < LJK = < JKL = 45 degrees

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a bottle contains 1/3 liters of water. if it is poured equally into four cups how much water will be in each cup

Answers

If we divide (1/3) liter of water into four equal cups each cup will (1/12) liter.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A bottle contains 1/3 liter of water.

Now, If we divide this (1/3) liters of water into 4 equal cups, Each cup will have (1/3)÷4 liters,

= (1/3)×(1/4) liters.

= (1/12) liters.

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Please answer this question! will give alot of points

Answers

Answer: the first question answer is 16.03 ft

the answer for number two is here too hand the way to get this answer

answer: Elijah is  standing from the base of the monument 159.14 feet

Step-by-step explanation:

see the attached figure to better understand the problem

In the right triangle ABC

----> by TOA (opposite side divided by the adjacent side)

substitute the given values

solve for AC

therefore

Elijah is  standing from the base of the monument 159.14 feet

Answer: Elijah is standing from the base of the monument - 1

And the answer for number 3 is 850.9 feet

what is the name of the length of the straight line drawn from an object’s initial position to the object’s final position?

Answers

Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position

The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.

If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.

The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.

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What is the constant of proportionality in the table below?
x 5 10 6 9 2
y 15 30 18 27 6


1/3
5
3
15

Answers

Answer:

1/3

Step-by-step explanation:

constant proportionality = x/y

x1/y1 , x2/y2 , x3/y3 , ....

5/15 , 10/30 , 6/18 , 9/27 , 2/6

= 1/3 , 1/3 , 1/3 , 1/3 , 1/3

since in all the cases x/y = 1/3 ,

Therefore, the contant proportionality in the given table is 1/3

Hope it's helpful..

There is a 30% chance an avocado is
perfectly ripe by tomorrow (not over-ripe
or under-ripe). If it is perfectly ripe
tomorrow there is a 40% chance it is still
perfectly ripe the next day. If it is not
perfectly ripe tomorrow there is a 60%
chance it is perfectly ripe by the next day.
What is the probability it is not perfectly
ripe on both days? Answer form 0.00

Answers

Answer:

Step-by-step explanation:6

simplify the fraction

6jk/8k

Answers

Answer: 0.75j or 3/4j

Step-by-step explanation:

Why was algebre made?
Answer: to solve a problem and make a solution easier to find.

Answers

Algebra was made to solve mathematical problems that involve unknown quantities.

What is Equation?

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

Algebra was developed to solve mathematical problems that involve unknown quantities.

It provides a way to represent and manipulate mathematical equations using symbols and rules, making it easier to solve complex problems and answer questions about relationships between variables.

The earliest known algebraic text is the "Al-jabr wa'l muqabalah" by the Persian mathematician Al-Khwarizmi, which was written in the 9th century.

Hence, Algebra was made to solve mathematical problems that involve unknown quantities.

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PLEASE HELP ASAP! THIS IS DUE TONIGHT!!
Question 13 (Essay Worth 12 points)
(Constant of Proportionality, Graphing Proportional Relationships, Real-World Proportional Problems HC)

An ice cream shop serves chocolate milkshakes that are made with ice cream and milk. There is a proportional relationship between the number of scoops of ice cream and the amount of milk needed to make them. For every 1 scoop of ice cream, one-half cup of milk is needed, and for every 5 scoops of ice cream, two and one-half cups of milk are needed.

Part A: Find the constant of proportionality. Show every step of your work. (4 points)

Part B: Write an equation that represents the relationship. Show every step of your work. (2 points)

Part C: Describe how you would graph the relationship. Use complete sentences. (4 points)

Part D: How many cups of milk are needed for 18 scoops of ice cream? (2 points)

Answers

The constant of proportion is k = 2. An equation that represent the relation is y = 2x. A graph of the equation y = 2x will show 2 units of x values for y on the y–axis. 9 cups of milk are needed for 18 scoops of ice cream

How to evaluate for the solution of the proportion

The proportional relationship between the number of scoops of ice cream and the amount of milk can be expressed as:

1 scoop of ice cream = 1/2 cup of milk

we evaluate for k the constant of proportion as follows:

1 = k × 1/2

k = 2 {cross multiplication}

if we represent a scoop of ice cream with y and a cup of milk with x, then we can write the equation that represent the relation as:

y = 2x.

In the graph of y = 2x, for every value of x on the x–axis, there are 2 units of x for y on the y–axis, that is when x = 1, y = 2 or x = 3 then y = 6.

For 18 scoops of ice cream, we will evaluate for the amount of cup of milk as follows:

18 = 2x

x = 18/2 {divide through by 2}

x = 9.

In conclusion, he constant of proportion is k = 2. An equation that represent the relation is y = 2x. A graph of the equation y = 2x will show 2 units of x values for y on the y–axis. 9 cups of milk are needed for 18 scoops of ice cream

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What is the surface area?
What is the Volume?

Answers

Answer:

Surface Area is the space occupied by a two-dimensional flat surface is called the area.

Total surface area is the area including the base(s) and curved part(s).

Calculating Surface Area:

To find the surface area of a shape, we need to find the measurement (in this case, centimeters) of each face/side and add them together.

Volume:

The amount of space an object/3D shape occupies. (Ex: A circle does not have volume, a sphere, however, does.)

Calculating Volume:

Volume = the length times the width times the height. (Volume = length x width x height)

What is the orientation of the vertices in transformation?
What is the orientation of the figure in transformation?
Are they the same?

Answers

The orientation of the figure may be unchanged, while in other cases it may be altered. For example, in a rotation transformation, the orientation of the vertices will change but the orientation of the figure as a whole will remain unchanged.

What is the orientation of the vertices in transformation?

The orientation of the vertices in transformation refers to the position and arrangement of the vertices of a figure after a transformation has been applied. A transformation is a change in position or size of a figure, such as a translation, rotation, reflection.

While the orientation of the figure in transformation refers to the overall shape and arrangement of the figure after a transformation has been applied. This can be thought of as the orientation of the entire figure, including the position of its vertices, edges, and any other features.

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approximately 1 out of every 2,500 caucasians in the united states is born with the recessive disease cystic fibrosis. according to the hardy-weinberg equilibrium equation, approximately what percentage of people are carriers? round to the nearest whole number and do not include the % sign in your answer.

Answers

Approximately 4% of people are carriers of the cystic fibrosis allele in the United States, according to the Hardy-Weinberg equilibrium.

In the Hardy-Weinberg equilibrium, the frequency of alleles in a population is given by the equation p^2 + 2pq + q^2 = 1, where p and q are the frequencies of the two alleles. For a recessive disease like cystic fibrosis, q^2 represents the frequency of affected individuals, which is 1/2,500 or 0.0004.

Solving for q, we get:

q^2 = 0.0004

q = sqrt(0.0004) = 0.02

Since q represents the frequency of the recessive allele, the frequency of the dominant allele (p) is 1 - q = 0.98.

The frequency of carriers (heterozygous individuals) can be calculated as 2pq, which is approximately:

2pq = 2 * 0.98 * 0.02 = 0.0392

Multiplying by 100 to express the frequency as a percentage and rounding to the nearest whole number, we get:

Carrier frequency ≈ 4%

Therefore, according to the Hardy-Weinberg equilibrium, 4% of people in the US are carriers of the cystic fibrosis allele.

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x - 1/3 = 6


Give your answer as an improper fraction.

Answers

Answer:

19/3 (6 1/3)

Step-by-step explanation:

x - 1/3 = 6
x = 6( or 18/3) + 1/3
x = 19/3

Brent weighed 240 pounds on January 1st. He lost 2 pounds per week by following an exercise plan for w weeks.

Write a function for B, Brent’s weight.

Answers

Answer:

B=240-2w

Step-by-step explanation:

.

Write the ratio 2/5
to 6 as a fraction in simplest form.

Answers

Multiply the denominators and numerators together. GCD(12, 5) = 1, keeping the result fraction to the lowest denominator feasible. To put it another way, six times two fifths equals twelve fifths.

What kind of numerator is that?

For instance, the fraction bar is the line that separates the digits 4 and 5, and 45 is a fraction. Thus, the numerator is the amount above the fraction bar, and the denominator is the number below the fraction bar. The denominator, or number of pieces out of the total, is represented by a numerator.

A denominator example is what?

The top number in a fraction is referred to as the numerator, while the bottom value is referred to as the denominator. 4/5, for instance, is a fraction. In this case, the numerator is 4 and the denominator is 5.

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You need 2/3 yard of fabric to create a headband. You have 12 feet of blue fabric and 4 feet of yellowfabric. How many headbands can you make with all the fabric

Answers

You can make 8 headbands with all the fabric, which is 12 feet of blue fabric and 4 feet of yellow fabric.

To find out how many headbands you can make with all the fabric, you need to convert the fabric measurements to the same unit and then divide by the amount needed for one headband.

First, convert the 12 feet of blue fabric to yards:
12 feet ÷ 3 = 4 yards

Next, convert the 4 feet of yellow fabric to yards:
4 feet ÷ 3 = 1.333 yards

Now, add the two amounts of fabric together:
4 yards + 1.333 yards = 5.333 yards

Finally, divide the total amount of fabric by the amount needed for one headband:
5.333 yards ÷ 2/3 yard = 8 headbands

Therefore, you can make 8 headbands with all the fabric.

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Determine which of the explicit rules represent the table of values. Select all that apply.

Answers

Answer:

A. f(x) = 0.8 (5)ˣ

Step-by-step explanation:

This is the only one that fits the x and f(x) values

x             0.8 (5)ˣ

------------------------------------------------------

1              0.8 x 5¹ = 0.8 x 5 = 4

2             0.8 x 5² = 0.8 x 25 = 20

3             0.8 x 5³ = 0.8 x 125 = 100

4             0.8 x 5⁴= 0.8 x 625 = 500

The others will not eve yield proper results for x = 1, you can try them out

Question 3 help please

Answers

(0, 6) and (1, 2) is the solutions to the given system of equation. Option A is correct.

Solving system of equation

Given the following system of equation

y = x^2 - 5x + 6

y = -4x + 6

Equating both equations, we will have:

x^2 - 5x + 6 = -4x + 6

Collect the like terms

x^2 - 5x + 6+4x - 6 = 0

x^2 - x = 0

x^2 = x

x = 0, 1

If x = 0

y = -4(0) + 6

y = 6

One of the solution is (0, 6)

If x = 1

y = -4(1) + 6

y = 2

The other solution will be (1, 2)

The solution to the given system of equation will be (0, 6) and (1, 2).

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The Ten Finger calculator company periodically checks random calculators before shipping crates out to customers. On Wednesday, 12 calculators from each of 64 crates of 144 calculators were tested. Two of the tested calculators were found to be defective. Based on this rate of defect, how many total calculators are expected to be defective?

Answers

Based on this rate of defect, a total of 256 calculators to be defective in all 64 crates are expected to be defective

What is Proportion ?

Mathematically, a proportion is calculated by dividing the number of individuals in a population who have the characteristic of interest by the total number of individuals in the population. For example, if we are interested in the proportion of people in a city who are left-handed, we would count the number of left-handed people in the city and divide it by the total population of the city.

Proportions are commonly used in statistics to describe the prevalence of certain characteristics or outcomes in a population, and they can be used to make comparisons between different populations or subgroups within a population. Proportions are typically expressed as fractions, decimals, or percentages, and they can range from 0 (indicating that none of the population has the characteristic of interest) to 1 (indicating that all of the population has the characteristic of interest).

According to given condition :

We can start by finding the proportion of defective calculators in the sample of tested calculators. If 2 out of 12 tested calculators were found to be defective, then the proportion of defective calculators in the sample is:

2/12 = 1/6

This means that, on average, we would expect 1 out of every 6 calculators in the population to be defective.

To find the total number of expected defective calculators in all 64 crates, we need to multiply this proportion by the total number of calculators in the population:

(1/6) * (64 crates) * (144 calculators per crate) = 1536/6 = 256

Therefore, we can expect a total of 256 calculators to be defective in all 64 crates.

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The graph of y = 3x - 4 is shown



Consider the solutions of y>3x-4 then day each point to the appropriate bin

Answers

The solutions of  y > 3x - 4 are (-5,-3), (-3,4), (0,0) and (0, -4)

What is Inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given equation of the graph is y>3x-4.

We have to check each of the ordered pair is a solution or not.

(-5, -3)

Plug in the values ion inequality

-3>3(-5)-4

-3>-15-4

-3>-19

(-5, -3) is the solution of  y>3x-4.

(-3, 4)

4>-9-4

4>-13, So (-3, 4) is the solution of  y>3x-4.

(-4, 0)

0>-12-4

0>-16, So (-4, 0) is the solution of  y>3x-4.

(0, 0)

0>-4 So (0, 0) is the solution of  y>3x-4.

(1, -7)

-7>-3-4 So (1, -7) is not the solution of  y>3x-4.

(1, 1)

1>3-4

1>-1, so (1, 1) is not the solution of  y>3x-4.

(2, 2)

2>6-4

2>2, so (2, 2) is not the solution of  y>3x-4.

(4, 2)

2>12-4, so (4, 2) is not the solution of  y>3x-4.

Hence, (-5,-3), (-3,4) , (0,0) and (0, -4) are the solutions of  y > 3x - 4.

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Given f of x is equal to 1 over the quantity x minus 4 end quantity and g of x is equal to the square root of the quantity x plus 4 end quantity comma what is the domain of f (g(x))?.

Answers

The domain of f(g(x)) = (-infinity, -4) U [-4, 4) U (4, infinity).

To find the domain of f(g(x)), we first need to find the domain of g(x) and then the domain of f(x).

The domain of g(x) is the set of all real numbers x such that x + 4 >= 0. So, g(x) is defined for all x >= -4.

To find the domain of f(x), we need to exclude the values of x for which f(x) is not defined. In this case, f(x) is not defined for x = 4. Hence, the domain of f(x) is all real numbers except 4, i.e., (-infinity, 4) U (4, infinity).

Therefore, the domain of f(g(x)) is the set of all real numbers x such that g(x) is defined and g(x) belongs to the domain of f(x). This means that f(g(x)) is defined for all x >= -4, except x = 4.

So, the domain of f(g(x)) = (-infinity, -4) U [-4, 4) U (4, infinity).

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