A function, f left parenthesis x right parenthesis comma models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these describes why f left parenthesis x right parenthesis can be considered a linear function? I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount. II. The function grows by equal factors every minute. III. The slope of the function is constant.

Answers

Answer 1

Answer:

quiz let or brainy helps me just look up the chapter question and you will get the answer

Step-by-step explanation:

hope this helps

Answer 2

f(x) can be considered as a linear function because of the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is the following statement representing a function - f(x), that models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute.

Assume that we represent the depth of the water rate by [y] and the time in minutes by [m]. We can write the function f(x) as -

y = f(x) = 11m

This is a linear relation and its graph will be a straight line passing through origin.

From this equation, we can make the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

Therefore, f(x) can be considered as a linear function because of the following conclusions -

1 → For every 1 minute interval, the depth of water in the wading pool increases by the same amount of 11 gallons/minute.

2 → The slope of the function is constant.

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Related Questions

Please help I don’t under

Answers

Answer:

x=30

Step-by-step explanation:

set the sum of both equal to 180 bc it makes a straight line

(x-1)+(5x+1)=180

add and subtract 1 from each side

x+5x=180

add like terms

6x=180

divide by 6

x=30

Answer:

D: x=30

Step-by-step explanation:

(x-1)⁰+ (5x+1)⁰=180⁰

x-1+5x+1=180

x+5x-1+1=180

6x=180

x=30

There are 12 1/4 pounds of candy canes to split between four classes evenly. How many pounds of the candy canes will each class get ?

Answers

each class gets 3 and 1/16 pounds

each class will receive 3 1/16.

75% of 56

Pls help me

Answers

Answer:

42

Step-by-step explanation:

A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by s(t)-6+2t+t2, where s(t) is in feet and t is in (a) Find the velocity at t- 4 seconds. (Worth 5 points) sec/Pt Answer (b) Find the instant the balloon is 50 feet above the ground.

Answers

Step-by-step explanation:

A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by :

[tex]s(t)=6+2t+t^2[/tex] ...(1)

(a) We need to find velocity at t = 4 seconds

Differentiate equation (1) wrt t.

[tex]v=\dfrac{ds}{dt}\\\\v=\dfrac{d(6+2t+t^2)}{dt}\\\\v=2+2t[/tex]

At t = 4 seconds,

[tex]v=2+2(4)\\\\=10\ ft/s[/tex]

At t = 4 seconds, the velocity is 10 ft/s.

(b) When the balloon is 50 feet above the ground,

[tex]6+2t+t^2=50[/tex]

We need to find t.

[tex]6+2t+t^2=50\\\\t^2+2t-50+6=0\\\\t^2+2t-44=0[/tex]

It is a quadratic equation,

t = 5.708 and t = -7.708

Neglecting negative time, the instant time is 5.708 seconds.

2 + 2
please tell me I am clueless

Answers

Answer:

22

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

put 2 fingers up then put up 2 more then count them all

Abracadabra 4

Using point-slope form, write the equation of the line that passes through (–3, 2) and has a slope of 5. A. (y – 2) = 5(x + 3) B. (y – 2) = 5(x – 3) C. (y + 2) = 5(x – 3) D. (y + 2) = –5(x + 3)

Answers

Answer:

A. (y - 2) = 5(x + 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate y₁ - y coordinate m - slope

Step-by-step explanation:

Step 1: Define

Point (-3, 2)

Slope m = 5

Step 2: Write Equation

Substitute in variables into general form.

y - 2 = 5(x + 3)

pls help! will give brainliest!!!

Answers

Answer:?????

Step-by-step explanation:

what do u need help with/?//???/???

What’s the question? It’s not there

Draw a scaled copy of the circle
using a scale factor of 2.

How does the circumference of the scaled copy compare to the circumference of the original circle?
How does the area of the scaled copy compare to the area of the original circle?

Answers

Answer:

the circumfrence is the diameter times pi so if the diameter was 3 you would time that by 3.14 to get the circumfrence hope that helps

Step-by-step explanation:

The circumference of the scaled copy is half the circumference of the original circle.

The area of the scaled circle is half the area of the original circle.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Let the radius of the circle = r

The circumference of the circle = 2πr

The area of a circle = πr²

Now,

Scale factor = Original circle / Scaled circle

Now,

Scale factor = 2

2 = Circumference of the Original circle / Circumference of the Scaled circle

Circumference of the Scaled circle = (1/2) Circumference of the Original circle

Again,

Scale factor = 2

2 = Area of the Original circle / Area of the Scaled circle

Area of the scaled circle = (1/2) Area of the original circle

Thus,

The circumference of the scaled copy is half the circumference of the original circle.

The area of the scaled circle is half the area of the original circle.

Learn more about scale factors here:

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What if it is asking you to divide and not multiply?

Answers

Answer:

Then you divide :)

<3 Enjoy,

    Dea

Simplify expression (distributive property) 11(9+d) if correct I'll mark brainliest!

Answers

11 x 9 is 99 so then you do 11 x d and that’s 11d so it would be 99+11d :)

Answer After Distributing: 99 + 11d

Work: You multiply 9 and d by 11, and you get 99 + 11d.

I hope this helps, and Happy Holidays! :)

f(x + 1) = 2x + 1
g(x + 1) = x-5
> (fog)(2) = ?

Answers

Can you provide me with a picture so that I can help you answer this question?

assume that the variable under consideration has a density curve. it is given that 27.1% of all possible observations of the variable are less than 17. Determine the area under the density curve that lies to the right of 17.​

Answers

Answer:

72.9%

Step-by-step explanation:

Given that :

27.1% of all possible observation of a certain variable are less than 17 ;

That is ;

Let variable = y ;

Proportion of (y < 17) = 27.1% = (27.1 / 100) = 0.271

Proportion that lies to the right :

P(y > 17) = 1 - P(y < 17)

P(y > 17) = 1 - 0.271

P(y > 17) = 0.729 = 72.9%

pls help having a hard time understanding I just need the answers

Answers

Answer:

B

Step-by-step explanation:

Basically, you can rule out all of the other answers by the following criteria:

A is wrong because any y= equation without an x is just a straight horizontal line

C is wrong because any x= equation is just a vertical line

D is wrong because both lines shown are positive lines, and both equations in  answer D are negative

Therefore by process of elimination, the only answer that makes sense is B

Sam’s height is 1.58 m. His younger brother Tom’s height is 0.4 m less than his height. What is Tom’s height?

A)1.58 m B) 1.54 m C)1.98 m D) 1.18 m

Answers

I think it’s a.........

Sam's height= 1.58m

Tom's height= 0.4m less than Sam's

= (1.58- 0.4)m

= 1.54m

The graph shows the number of centimeters a particular plant grows over time. Given the points​ (0,0) and ​(5​,8​), how many centimeters does the plant grow per​ week?

can someone help me with this problem please?

Answers

Answer:

          8 cm

m = --------------    This is the desired rate of change, the amount the plant

          5 wk              grows per 1 week.

Step-by-step explanation:

Moving from point (0, 0) to point (5, 8), we see that the x-coordinate (the 'run') increases by 5 wk and the y-coordinate (the 'rise') increases by 8 cm.  Thus we have the rate of change

          8 cm

m = --------------    This is the desired rate of change, the amount the plant

          5 wk              grows per 1 week.

are any of these equations linear or nonlinear if yes what is the standard form
a. y=-7+6x
b. y=2x+5

Answers

Answer:

both are linear

a) 6x - y = 7

b) 2x - y = -5

Step-by-step explanation:

please help me please​

Answers

Answer:

y=1

10/5=2

Step-by-step explanation:

In this figure m∠A=(2x-2)°, m∠C=(4x-6)°,and m∠DBC=(5x+4)° What is m∠C
SHOW YOUR WORK will give 100 points!!

Answers

Answer:

answer 500

Step-by-step explanation:

2x2-40x33 divided by 2 and boom answer 500

Anser:

m∠C=42

Step-by-step explanation:

(2x - 2) + (4x - 6) = (5x + 4)

(6x - 8) = (5x + 4)

-4 -4

6x - 12 = 5x

-5x -5x

1x = 12

So 4 * 12 - 6 = 42

m∠C=42

Find the x-intercept and y-intercept of the line given by the equation below. Then graph the line.
x + y = 2
X-intercept:
y-intercept:

Answers

y-intercept: (0,2)
x-intercept: (2,0)

graphed:
Y intercept: 0,2)

X intercept (2,0)


Refer to - KLMN •
3r
M
2y
3 cm
ס
60°
K
N
x + 4 cm
What is the length of LM in cm?

Answers

Answer:

[tex]LM = 6cm[/tex]

Step-by-step explanation:

[tex]LM = KN[/tex]

[tex]3x =x + 4[/tex]

[tex]3x - x = 4[/tex]

[tex]2x = 4[/tex]

[tex] \frac{2x}{2} = \frac{4}{2} [/tex]

[tex]x = 2[/tex]

then

[tex]LM = 3x[/tex]

[tex]LM =3 \times 2[/tex]

[tex]LM = 6cm[/tex]

PLS HELP MY GRADE DEPENDS ON IT

Image is attached below

Answers

Answer: the first one

Step-by-step explanation: head math

Solve the equation for x. 25x = 275

x =​

Answers

Answer:

x = 11

Step-by-step explanation:

So the equation is  25x = 275. In order for us to find out what x is we need to get rid of 25 that is next to x, so we are going to have to divide 25x by 25. What you do to one side you do to the other so the equation will look like this:

25x/ 25 = 275/ 25

25x/25 = x

275/25 = 11

so x = 11

Given m||n, find the value of x;

Answers

Answer:

i think its 24 because its the alternate exterior so it should be the same.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

KJananwnwwnnwnwnwnwnw

Last night, the Knicks made 12 free throws. If their free throw percentage is 75%, how many free throws were attempted? (READ CAREFULLY!)

Answers

16 free throws were attempted

Answer:

16

Step-by-step explanation:

12 / 16 = 0. 75

i found this by dividing 12 by 0.75

4. -5x-15=-3x+23
29. -107-7x=73-13x
EXPLAIN STEPS AND SHOW WORK
THANKS BROTHA
`•••~Low_Millenial~•••`
°°°°°°Tutor and pal°°°°°°°​

Answers

Answer:

x=-19  x=30

Step-by-step explanation:

-5x-15=-3x+23

    -23      -23

-5x-38=-3x

+5x        +5x

-38=2x

/2       /2

-19=x

-107-7x=73-13x

-73         -73

-180-7x=-13x

      +7x   +7x

-180=-6x

30=x

Apply the distributive property to convert the expression to the greatest common factor multiplied by a term in parenthesis.

36a+9=

40+50d=

28-7f=

Answers

Answer:

9(4a+1)=

10(4+5d)=

7(4-f)=

Step-By-Step Solution:

The greatest common factor is the largest number that both numbers can be divided by. For example, in #1, 36 and 9 can both be divided by 9 to become 4 and 1.

Meredith borrows $12,560 and pays 2% simple interest each year for 4 years. What is the total amount of interest that she will pay on the loan? ​

Answers

Answer:

A = $13,564.80

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2%/100 = 0.02 per year.

Solving our equation:

A = 12560(1 + (0.02 × 4)) = 13564.8

A = $13,564.80

The total amount accrued, principal plus interest, from simple interest on a principal of $12,560.00 at a rate of 2% per year for 4 years is $13,564.80.

Answer:

its b

Step-by-step explanation:

Question
Tara deposits $5,000 in a certificate of deposit. The annual interest rate is 7%, and the interest will be compounded
quarterly. How much will the certificate be worth in 10 years? Round your answer to two decimal places.

Answers

Answer:

Step-by-step explanation:

The formula for this is

[tex]A(t) = P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount at the end of this whole mess, P is the initial investment, r is the interest rate as a decimal, n is the number of times the compounding is done per year, and t is the number of years. Filling in accordingly:

[tex]A(t)=5000(1+\frac{.07}{4})^{(4)(10)}[/tex] which simplifies a bit to

[tex]A(t)=5000(1+.0175)^{40[/tex] and a bit more to

[tex]A(t)=5000(1.0175)^{40}[/tex] Take care of the exponent first to get

A(t) = 5000(2.001597343) and multiply through to get

A(t) = 10,007.99

Answer:

$10048.31

Step-by-step explanation:

Collins Middle School has 245 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the middle school

Answers

Answer:

700

Step-by-step explanation:

Suppose the sum of two integers is negative. Must both integers be negative? Explain.

Answers

Answer:

Not necessarily. There are many ways to write a basic equation with a negative answer. For example, -3-4 = -7. Here 4 is a positive number but because you subtract 4 to 3 or take away 4 from 3 being a negative number and so you get a negative answer. Another example is 6+(-9). There are a couple of ways you can resolve this. My method is to subtract 9 from 6 which gives you 3 and simply add a negative sign.

Let me know if you'd  like more examples. Hope this helps!! Sorry if it is confusing I can explain you in a more simpler way if you'd like.

Step-by-step explanation:

The sum of two integers is negative, here both integers are negative.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Given that the sum of two integers is negative.

And both integers are negative

Let a < 0, b < 0

Using a model  a + b < 0

Substitute the values a = -1, b = -2, and c = -3 in the inequality of model

⇒ (-1) + (-2)  < 0

⇒ -1 - 2 < 0

⇒ -3 < 0

So, the sum of two integers is negative.

Hence, the sum of two integers is negative, here both integers are negative.

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