A feather blew out of a bird nest 10 feet in the air. It drifted to the ground at a constant rate of 2 feet per second. Write an equation that shows the relationship between the elevation of the feather, y, and the number of seconds it has been falling, x

Answers

Answer 1

The question is an illustration of a linear function, and the equation that represents the function is [tex]y =-2x +10[/tex]

A linear function is represents as: y = mx + c, where:

m represents the slope or rate c represents the y-intercept

In this case, we have:

[tex]m = -2[/tex][tex]c = 10[/tex]

So, the equation becomes

[tex]y =-2x +10[/tex]

Hence, the equation of the function is [tex]y =-2x +10[/tex]

Read more about linear functions at:

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Related Questions

what is 7x5 and ummmmmm

Answers

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Johnathan is driving from Houston to Seattle. After 3 hours, he has traveled 150 miles. After 7 hours, he has traveled 350 miles. This information is also represented in the table below.

Driving Time

Time (hr) Distance (miles)
3 150
7 350
10 500

What is Johnathan’s average rate of speed?

Answers

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

there are 47 students in the science club. all but 5 of them went on a field trip to the planetarium. what is the total cost if each student who went on the field trip paid $7?

Answers

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

What type of function is represented in the table? exponential linear quadratic logarithmic

Answers

linear because each input and output are different

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

which value of the variable m satisfies the equation 20 = -2(4m - 5)

Answers

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

The volume of a cylinder is 600 pi cm cubed. The diameter of a base of the cylinder is 10 cm. What is the height of the cylinder?

Answers

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

1.60x + 0.95(12)=23.40
solve for x

Answers

X is ymz 2719/822 your w Leiden e

Select all the equations that have {7} as its solution set. 65−2x=6x+9 9−x=14x 3+4x=5x−4 x2+1=8x−5

Answers

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.

What is an equation?

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.

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help pls!! 3rd answer wasn’t correct

Answers

Answer:

-3

Step-by-step explanation:

The k value represents when the function moves up or down.

Since there are no vertical compressions or shifts, we can just focus on how much the graph went down. The function g(x) went down 3 units.

Therefore, k would equal -3.

abebe is 12 years old and his sister aster is 2 years old. In how years abebe be exactly twice as old as aster​

Answers

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.

What value of X is always
an outlier?
A) X> Q1 + 1.5 IQR
B) X>03 - 1.5 IQR
C)X D) X > 1.5 IQR - Q1
E) X > Q3 +1.5 IQR

Answers

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.

Johnny kicks a ball into the air. Assume the path of the ball can be modeled with a quadratic function. The ball reaches a height of 10 feet and lands on the ground 3 seconds later. Draw and label a graph that models the path of the ball. Write an equation that models the path of Johnny’s ball.

Answers

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:

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how much coffee is in the cup, it the cup if 7 feet by 7 feet, and 1 cubic foot = 7.48052

How much coffee in the cup, please show how you did it with pi, volume radius etc. ​

Answers

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:

Round 9.46 to the nearest tenth.

Answers

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-

quotient of 2 2/3 and 3 1/2

Answers

Answer:

16/21

Step-by-step explanation:

Could someone answers these! I Really NEED HELP

Answers

Answer:

(3x + 5) (x - 3)

Step-by-step explanation:

This is the quadratic expression

how to find vertical asymptotes and horizontal asymptotes

Answers

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.

This is a 45-45-90 triangle.
What is the measure of x?
Х
14
Х
x = [?]V

Answers

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]

Which graph shows the solution to this system of inequalities?
y < 3x - 4
y ≥ x + 1

Answers

Answer:

c

Step-by-step explanation:

The correct answer is option D.

What's a system of inequalities?

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.

How do you solve a system of inequalities?

Step 1: Solve the inequality for y. Step 2: Graph the boundary line for the inequality. Step 3: Shade the region that satisfies the inequality.Step 4: Solve the second inequality for y. Step 5: Graph the boundary line for the second inequality. Step 6: Shade the region that satisfies the second inequality.

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

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There are 4 juice cartons and 9 milk cartons in the school refrigerator. What is the ratio of juice cartons to total cartons
A. 4 to 9
B. 4 to 13
C. 5 to 9
D. 9 to 13

Answers

Answer:

c I took the test

Step-by-step explanation:

Will mark brainly!! :)

What is the inverse of [tex]f(x)=-2x+7\\[/tex]
[tex]f^{-1} (x) =2x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-2x+7[/tex]
[tex]f^{-1} (x)=\frac{1}{2}x-\frac{7}{2}[/tex]
[tex]f^{-1} (x)=-\frac{1}{2} x+\frac{7}{2}[/tex]

Answers

Answer:

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

in baseball the home plate is shaped like the one shown it has three right angles and two other congruent angles A and B find measurement of angle a and measurement of angle B ​

Answers

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

Use the area model to multiply

1
4
8q+
1
2
r.
First, find the partial products. Write numbers as integers, decimals, or simplified proper or improper fractions.

Answers

Answer:

no porque algunproblemw

NEED HELPPP ASAAPPPPPPP

Answers

Answer:

me too

Step-by-step explanation:

what is the sum 1,826+2,149+1,023

Answers

Answer:

4998

Step-by-step explanation:

1000+2000+1000 = 4000

800+100 = 900

20+40+20 = 80

6+9+3 = 18

4000+900+80+18 = 4998

Hope that helps!

7. Explain what step was taken to go from the first equation to the second equation.
step 1: 2(x - 4) = -12
step 2: 2x - 8 = -12
A. Distribute the 2 on the left side of the equation.
B. Subtract both sides by 4.
C. Divide both sides by 2.
D. Add 4 on the left side.

Answers

Option A

your just multiplying the 2 to what's in parentheses

To qualify for a scholarship, a student must score at least 90% on a written test. The test is 64 questions. Using this metric, what is the greatest number a student can miss and still qualify for the scholarship?

Answers

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.

Eliza fell asleep at 9:35 pm she awoke at 8 hours 45 minutes later what time did she wake up??

Answers

Answer:

6:20 AM

Step-by-step explanation:

Around 5:30-6pm hope this helped

Troy pays a one-time rental fee of $25 and $15 per day to rent a bicycle.
Write an expression that gives the amount Troy pays to rent
d days

Answers

Answer:

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

solve the equation 1 = u over 2

Answers

Answer:

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

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