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2022 EDGE ASSIGNMENT

Modeling Functions Using Finite Differences

1. C

2. A, E

3. B

4. B, D

5. D

6. A

7. B, F

Answer:

y = 15d + 25 or y = 15x + 25

Answer:

135

Step-by-step explanation:

the triangle is 90-45-45

the square is 90-90-90-90

where the two meet just add 45 + 90

135

Answer:

u = 2, as we multiply both sides by the denominator (2).

Answer:

m = - 1.25

Step-by-step explanation:

20 = - 2(4m - 5) ← divide both sides by - 2

- 10 = 4m - 5 ( add 5 to both sides )

- 5 = 4m ( divide both sides by 4 )

- [tex]\frac{5}{4}[/tex] = m , that is

m = - 1.25

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

16/21

Step-by-step explanation:

Answer:

6 questions

Step-by-step explanation:

First, you divide the total score of 100 by the 64 questions to get 1.5625 points per question. Next, you divide the lowest score to qualify of 90 by the 1.5625 to get 57.6 questions correct to qualify. Then, you round 57.6 questions correct up to 58 questions correct because a fraction of a question correct doesn't make sense. Finally, you subtract the total number of questions (64) by the required correct answers (58) to get 6 questions you can miss to still qualify for the scholarship.

Answer:

the volume of a cylinder is pi r^2 h = 3.14.(3.5)^2. 5.5=211.55 cubic foot

211.55 x 7.48052 =1583.36 gallons.

Step-by-step explanation:

Answer:

me too

Step-by-step explanation:

Answer:

V = B * H      area of base * height

B = pi * (D / 2)^2 = pi * 5^2 = 78.5 cm^2

H = V / B = 600  cm^3 / 78.5 cm^2 = 7.64 cm

Answer:

8 years

Step-by-step explanation:

Currently

Abebe → 12 years old

Aster → 2 years

With every passing year, each of them will be 1 year older hence the difference between their ages will remain constant.

Difference in ages

= 12 -2

= 10

Let the age of Aster be x years old when Abebe is twice her age.

Abebe → 2x years old

Aster → x years old

Difference in age

= 2x -x

= x

x= 10

Aster is 10 years old when Abebe is twice her age.

Number of years passed

= 10 -2

= 8

Thus, Abebe will be twice as old as her sister in 8 years.

Answer:

Answer B

Step-by-step explanation:

Because  (IQR) by 1.5 (a constant used to discern outliers). Add 1.5 x (IQR) to the third quartile. Any number greater than this is a suspected outlier. Subtract 1.5 x (IQR) from the first quartile.

Answer:

[tex] {f}^{ - 1} (x) = - \frac{1}{2} x + \frac{7}{2} [/tex]

Answer:

(3x + 5) (x - 3)

Step-by-step explanation:

This is the quadratic expression

Answer: C: Chuy will save more than he needs and will meet his goal at the end of 27 weeks.

Step-by-step explanation: Divide the amount of money saved, $440, by the number of weeks, 8.

440/8 = $55.

This means $55 is the amount of money Chuy saves every week.

Multiply $55 by the number of weeks Chuy plans to save money, 27.

55 x 27 = 1,485.

Since the television costs $1,350 dollars, Chuy will save more than he needs and will meet his goal in less than 27 weeks.

Answer:

Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0. Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote. Degree of numerator is equal to degree of denominator: horizontal asymptote at ratio of leading coefficients.

Step-by-step explanation: Correct me if i'm wrong lol.

An equation that models the path of Johnny’s ball is [tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]

The maximum height is given as:

[tex]h_{max}= 10ft[/tex]

And the time spent is:

[tex]t = 3s[/tex]

So, the vertex of the ball would be:

[tex]Vertex = (t/2,h_{max})[/tex]

This gives

[tex]Vertex = (3/2,10)[/tex]

[tex]Vertex = (1.5,10)[/tex]

Rewrite properly as:

[tex](h,k) = (1.5,10)[/tex]

The ball is on the floor after 3 seconds.

So, another point on the graph is:

[tex](x,y) = (3,0)[/tex]

A quadratic equation is represented as:

[tex]y=a(x - h)^2 + k[/tex]

Substitute [tex](x,y) = (3,0)[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]

[tex]0=a(3 - 1.5)^2 + 10[/tex]

[tex]0=a(1.5)^2 + 10[/tex]

Evaluate the exponent

[tex]0=2.25a + 10[/tex]

Subtract 10 from both sides

[tex]2.25a =- 10[/tex]

Divide both sides by 2.25

[tex]a = -\frac{10}{2.25}[/tex]

Multiply by 4/4

[tex]a = -\frac{40}{9}[/tex]

Substitute [tex]a = -\frac{40}{9}[/tex] and [tex](h,k) = (1.5,10)[/tex] in [tex]y=a(x - h)^2 + k[/tex]

[tex]y = -\frac{40}9(x - 1.5)^2 + 10[/tex]

See attachment for the graph that models the path

Read more about quadratic functions at:

https://brainly.com/question/11441586

Answer:

294

Step-by-step explanation:

40x7=280

2x7=14

280+14=294

Answer:

$294

Step-by-step explanation:

There is a total of 47 students in the science club.

5 did not go on the trip.

Number of students who went on the trip: 47 - 5 = 42

42 students wen on the trip.

Cost per person: $7

Total cost for 42 students: 42 × $7 = $294

Answer:

no porque algunproblemw

Answer:

6:20 AM

Step-by-step explanation:

Answer:

x = 14[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Since the triangle is 45- 45- 90 then it is isosceles with the 2 legs being congruent, both 14

Using Pythagoras' identity in the right triangle

x² = 14² + 14² = 196 + 196 = 392 ( take square root of both sides )

x = [tex]\sqrt{392}[/tex] = [tex]\sqrt{196(2)}[/tex] = [tex]\sqrt{196}[/tex] × [tex]\sqrt{2}[/tex] = 14[tex]\sqrt{2}[/tex]

Answer:

c I took the test

Step-by-step explanation:

Answer:

the answer is this hope it helps im not sure if its all right good luck.

Step-by-step explanation:

A. 65-2x=6x+9

B. 9-x=14x

C. 3+4x=5x-4

d is wrong

The first and third equations have {7} as their solution set.

It is a mathematical statement that is made up of two expressions connected by an equal sign.

The first equation is

65−2x=6x+9

Rearranging the above equation gives

8x = 65-9 = 56

i.e x = 7

Consider the second equation,

9−x=14x

i.e x = 9 / 15 = 0.6

The third equation is:

3+4x = 5x−4

i.e x = 7

The last equation is

x^2+1 = 8x−5

Its solution is not equal to 7.

As a result of the preceding equations, we can conclude that only the first and third equations have "7" as their solution set.

To learn more about equation, use the link given below:

https://brainly.com/question/29538993

#SPJ2

Answer:

1%

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The correct answer is option D.

A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.

Learn more about the system of inequalities here: brainly.com/question/4870108

#SPJ2

Answer:

9.50

Step-by-step explanation:

9.46 to the nearest tenth is 9.50,

wherever there is a th after the value name it is the right hand side of the decimal point that you need to round to.

Hope this helps!

Answer 9.5

Step-by-step explanation: i think-

Answer:

50mph

Step-by-step explanation:

first divide 150 by 3 and you get 50

then divide 350 by 7 you get 50

and finally divide 500 by 10 and you get 50

Option A

your just multiplying the 2 to what's in parentheses