1. Which representation does not show y as a function of x?
A) Answer F
B) Answer G
C) Answer H
D) Answer J

2. Which set of ordered pairs represents y as a function of x?
A) {(-9, 2), (0, 6), (1, -2), (-3, 6)}
B) {(-1, 0), (4, 3), (-7, -3), (-1, -8)}
C) {(3, 2), (-4, -2), (3, 1), (-4, 1)}
D) {(5, 4), (2, 3), (1, 1), (2, 4)}
the pic is for question 1

The number of angelfish and goldfish are required.

The number of angelfish is 48 and goldfish is 36.

The ratio of clownfish to angelfish is

[tex]\dfrac{c}{a}=\dfrac{5}{4}[/tex]

Ratio of angelfish to goldfish is

[tex]\dfrac{a}{g}=\dfrac{4}{3}[/tex]

Number of clownfish is [tex]c=60[/tex]

From the given ratios

[tex]\dfrac{60}{a}=\dfrac{5}{4}\\\Rightarrow a=\dfrac{60\times 4}{5}\\\Rightarrow a=48[/tex]

[tex]\dfrac{48}{g}=\dfrac{4}{3}\\\Rightarrow g=\dfrac{48\times 3}{4}\\\Rightarrow g=36[/tex]

The number of angelfish is 48 and goldfish is 36.

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Answer:6 months 360

Ft: 150+35t=60 t

G(t): 60t

Step-by-step explanation:

The hierarchy of biological organization in a snowy owl involves various nested levels from the most inclusive, the biosphere, to the least complex, atoms. Each level, from biomes to molecules, represents a stage of increasingly specific categorization.

Hierarchy of Biological Organization in a Snowy Owl

The hierarchy of biological organization describes the levels of biological world organization from the most inclusive to the least complex levels. When considering a snowy owl or any other organism, this involves the following hierarchy:

Biosphere - The global ecological system integrating all living beings and their relationships.

Biome - A large community of plants and animals that occupies a distinct region such as tundra where snowy owls may be found.

Ecosystem - The community of living organisms in conjunction with the nonliving components of their environment interacting as a system.

Community - An assembly of different species within a defined area.

Population - A group of individuals of the same species that live in the same area.

Organism - An individual living entity such as a single snowy owl.

Organ Systems - A group of organs that work together to accomplish specific functions.

Organs - Composed of tissues that perform a specific function or group of functions.

Tissues - An ensemble of similar cells from the same origin that carry out a specific function.

Cells - The smallest unit of life.

Organelles - A subunit within a cell that has a specialized function.

Molecules - A group of atoms bonded together, representing the smallest fundamental unit of a chemical compound that can take part in a chemical reaction.

Atoms - The smallest unit of a chemical element.

The snowy owl, as an organism, falls into this hierarchy at the organism level, but is also part of each of these nested levels up to the biosphere.

Final answer:

To find the cost of each video, subtract the cost of the CD from the total amount spent, and then divide by the number of videos. Each video cost Wade $9.99.

Explanation:

The student's question involves a basic algebra problem where Wade purchased 3 videos and one music CD. The cost of the music CD was $12.99, and the total spent was $42.96. We need to determine how much each video cost.

Firstly, subtract the cost of the music CD from the total spent to find the total cost of the videos:

$42.96 - $12.99 = $29.97.

This means the total cost for the 3 videos is $29.97. Since Wade paid the same amount for each video, we divide the total cost of the videos by the number of videos:

$29.97 ÷ 3 videos = $9.99 per video.

Therefore, each video cost Wade $9.99.

The High School Academic Decathlon is a competition involving ten academic events where students compete individually and as a team in subjects like mathematics, science, and social science. The competition promotes teamwork, public speaking, and scholastic excellence. Teams are categorized based on GPA, and all participants take part in each event.

The High School Academic Decathlon is a rigorous academic competition where students compete in a series of ten events covering various subjects. These events include mathematics, science, economics, social science, literature, art, music, and speech. The competition is designed to encourage scholastic excellence, public speaking, and teamwork.

Teams are usually composed of nine students, divided into three categories based on their GPA: Honors, Scholastic, and Varsity. Each student participates in all ten areas of the competition, contributing to both individual and team scores.

Participating in the Academic Decathlon not only boosts students' academic achievements but also helps them develop important skills such as time management, critical thinking, and public speaking. For example, a student who is teased by her basketball team for her academic award is navigating the balance between athletic and academic achievements, showcasing the multifaceted nature of high school life.

Answer: In 35 ways Jasmine can draw a blue or yellow marble from the jar

Step-by-step explanation:

Total marbles in the jar=number of blue marbles+number of yellow marbles=28+7=35.

The number of ways of drawing a blue or yellow marbles is given by

[tex]P^n_r=\frac{n!}{(n-r)!}[/tex]

Here n=35 and r=1

Therefore, [tex]P^{35}_1=\frac{35!}{(35-1)!}=\frac{35!}{34!}=\frac{35\times34!}{34!}=35[/tex]

Thus in 35 ways Jasmine can draw a blue or yellow marble from the jar.

Final answer:

To find the cost of one marker when a set of 20 markers costs $6, divide $6 by 20, which results in a cost of $0.30 per marker.

Explanation:

The question asks us to determine the cost of 1 marker given that Lainey bought a set of 20 markers for $6. To find the cost of one marker, we need to divide the total cost by the number of markers in the set.

Here is the step-by-step calculation:

Identify the total cost of the markers: $6.

Identify the total number of markers: 20.

Divide the total cost by the number of markers to find the cost per marker: $6 ÷ 20 = $0.30.

So, the cost of one marker is $0.30.

You can use the simplified equation to find the solution.

The positive solution of given equation is x  = 3

When we find the solution of the equation, we find the values of the variables for which the given equation is correct. Sometimes the values of the solutions comes out negative and sometimes positive and sometimes both or can be 0 too.

To find positive solutions, we only consider those solutions which are positive.

[tex]0 = \dfrac{1}{3}x^2 - 3\\ \\ \text{Adding 3 on both sides}\\ \\ 3 = \dfrac{1}{3}x^2\\ \\ \text{Multiplying 3 on both sides}\\\\ 9 = x^2\\ \\\\ \text{taking square root}\\ 3 = \pm x\\ x = \mp 3 \\ (x = 3), (x = -3)[/tex]

Thus, x = 3, and x = -3 are the solutions to given equation.

The positive solution to the given equation is x = 3.

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The function that models the rectangular building area A in terms of its width W is [tex]A = 3w^{2}[/tex]

From the question, a rectangular building lot is three times as long as it is wide.

Let the width be [tex]w[/tex] and the length be [tex]l[/tex]

Then we can write from the above statement that

[tex]l = 3w[/tex] ------ (1)

Now, for a function that models its area A in terms of its width w, that means we should write an equation for the area in terms of its width only.

From the formula for area of a rectangle,

Area = length × width

∴ [tex]A = l \times w[/tex]

From equation (1), we have that [tex]l = 3w[/tex]

Substitute this into the area formula,

[tex]A = l \times w[/tex]

We get

[tex]A = 3w \times w[/tex]

Then,

[tex]A = 3w^{2}[/tex]

Hence, the function that models the rectangular building area A in terms of its width W is [tex]A = 3w^{2}[/tex]

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