Mathematics High School

You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−11x+330, where x is the time (in seconds) since you first noticed the hot air balloon.

Graph the function and specify its domain and range. Then interpret the slope and intercepts of the graph.

Answers

Answer 1

Answer:

1) Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

Step-by-step explanation:

1) The function modelling the height of the balloon is h(x) = -11x + 330

Where;

x = The time of elevation of the balloon

The data for the graphing derived from Microsoft Excel are as follows

x    [tex]{}[/tex]   h(x)

0    [tex]{}[/tex]   330

5    [tex]{}[/tex]   275

10    [tex]{}[/tex]  220

15    [tex]{}[/tex]  165

20    [tex]{}[/tex]  110

25    [tex]{}[/tex]  55

30    [tex]{}[/tex]   0

Please find attached, the graph of the function

The domain of the function is 0 ≤ x ≤ 30

The range of the function is 330 ≥ x ≥ 0

Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11

2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable

Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x

Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

You Notice A Hot Air Balloon Descending. The Elevation H (in Feet) Of The Balloon Is Modeled By The Function
Answer 2

Answer:

I had the same problem! Here is my work, pretty sure its the right answer!

Step-by-step explanation:

You Notice A Hot Air Balloon Descending. The Elevation H (in Feet) Of The Balloon Is Modeled By The Function

Related Questions

3/4 (4x+8)=-12. Distributive property

Answers

Answer:

x = -6

Step-by-step explanation:

I'm assuming you're solving for x

3/4 (4x + 8) = -12

you distribute the 3/4 to 4x and 8 so

3/4 times 4x = 3x

3/4 times 8 = 6

now looks like

3x + 6 = -12

3x = -12 - 6

3x = -18

x = -6

3. What is the slope and the y-intercept of
the line represented by equation:
2x + y = 1?
Explanation:

Answers

Answer:

The slope is -2/1 or simplified -2 and the y-intercept is 1

Step-by-step explanation:

Answer: Slope:-2  and y-intercept:1

Step-by-step explanation:

y=1 because the y by itself means 1.

The slope is a -2 because you have to do the opposite.

I used a calculator for math for the answer

i will give 100 pionts and branlyest to anyone who gits this right

If a scale drawing uses a scale of 1:12, then 2 1/2 inches on the model represents 2 1/2 feet. TrueFalse

Answers

Answer:

true

Step-by-step explanation:

True just do 2 1/2 times 12 (if you changed the answer to feet you would get 2 1/2 feet) or multiply 1 by 12 two times (24 inches) (represents the two inches converting into feet) then 1/2 times 12 (6 inches) (represents the half the inch getting multiplied by 12/ converting into feet).

A large male giraffe needs to eat at least 75 pounds of food each day. At each feeding, the giraffe is fed 3 pounds of food. The giraffe has already consumed 24 pounds of food. How many more times x does the giraffe need to be fed? Write your answer as an inequality.

Answers

Answer:

17

Step-by-step explanation:

He ran 10 meters in 2.7 seconds. priya ran 10 meters in 2.4 seconds.
who ran faster? explain how u know

Answers

Answer:

The first person somehow

Step-by-step explanation: 10 divide by 2.7 is 3.7037037 and 10 divided by 2.4 is 4.16666667

What is the product? [-3 4 2 -5]x[3 -2 1 0]

Answers

Answer:

71829x

Step-by-step explanation:

Answer:

The correct answer is option A

Step-by-step explanation

You got this! keep going! :D

Which number best represents the slope of the graphed line?

Answers

Answer:

-1/3

Step-by-step explanation:

because i aint never seen two pretty best friends, its always one of em gotta be ugly

Hahshxnxjennshsne did. D d d s s d d d

Answers

Answer:

are you okay?

Step-by-step explanation:

Is it possible for two triangles to have the same side lengths but not be congruent?

Answers

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

Help? Please I’m desperate

Answers

Answer:

its called a calculator division and multiplication

Step-by-step explanation:

Find 20 rational numbers between 2/7 and 5/9.
pls ans. very much needed​

Answers

Answer:

0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41, 0.42, 0.43, 0.44, 0,45, 0.46, 0.47, 0.48, 0.49, 0.5

Step-by-step explanation:

PLS GIVE BRAINLIEST

£3 will buy 5 meals for one person.

(a) work out the cost of one meals
give an answer in pence

I will mark brainest for the working out pls and it has to be the correct answer and working out.
I need a answer asap (as soon as possible)​

Answers

3/5 = $0.60 a meal for one person

whats the Estimate 646 + 738 and 646 + 738 also 356 + 467

Answers

Answer:

646+738=1380

356+467=820

Step-by-step explanation:

Answer:

1380

1380

820

Step-by-step explanation:

Express the radical using the imaginary unit, i.
Express your answer in simplified form.
IV-18 = +

Answers

Answer:

0.79

Step-by-step explanation:

25+30+10+4=79 so 0.79

Answer:

0.79

Step-by-step explanation:

I know because of I got taught a little about this but if I am wrong I'm sooooooo sorry

Help please and please explain

Answers

Answer:

1st question example. all you have to do is write ∠XV, ∠VW, ∠WX

Step-by-step explanation:

the ∠ means the angles. so each angle has a degree. Just list them shortest angle to longest angle.

Please help if you are good at math!!

Answers

Answer:

Y intercept= (0,15)

X intercept= ([tex]\frac{3}{4}[/tex],0) , (5,0)

Vertex= -[tex]\frac{b}{2a}[/tex]

Step-by-step explanation:

PLEASE MARK BRAINLIEST

PLEASE HELP ME!!!! HOMEWORK DUE IN 30 MIN!!!!!!

Answers

Answer:

b is 10.5 c is 11

Step-by-step explanation:

9+1.5

10.5

3(5)-4

15-4

11

distribute -(6 - 4p) TWELVE POINTS FOR YOUR ANSWER!!

Answers

Answer:

-6+4p

Step-by-step explanation:

-(6-4p)

-1(6-4p)

-1*6=-6

-1*-4p=4p

-6+4p

Answer:

-(6-4p)=

-6+4p

Step-by-step explanation:

The table and graph represent the music downloads Jamila purchased. Downloads (x) 4 6 8 12 Dollars (y) 3 4.5 6 9 If the relationship is proportional, which additional ordered pair would be on the graph?​

Answers

Answer:

(7, 5.25)

Step-by-step explanation:

got it correct on edgeunity hope this helps ya

Answer:

its the second option on edge 2020

Step-by-step explanation: did the assignment


Explain WHY a rotation of 180° is the same as doing
reflection over the x-axis AND the y-axis?

Answers

The 180 degree acts like both a horizontal (y axis) and vertical (x axis) reflection in one action.Precisely. Although they appear similar at first,rotating a figure 180 degrees swaps the image left-to-right and top-to-bottom at once.

Help please!! :) 20 points & brainliest for first correct answer!!

Please sketch the line of the equation on the graph in y = mx + b form

thanks in advance

Answers

Answer:

f(x)=6x

Step-by-step explanation:

nvjkszd,mzxnbfkves

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag. In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount. What is the weight of each bag of dried beans? Enter the correct answer in the box.

Answers

Given:

Mrs. Kato has 6 bags of dried beans and a 2-pound bag of rice in one shopping bag.

In another shopping bag she has a 5-pound bag of flour.

The two shopping bags weigh the same amount.

To find:

The weight of each bag of dried beans.

Solution:

Let x be the weight of each bag of dried beans.

So, weight of 6 bags of dried beans = 6x.

According to the question,

Weight of first bag = (6x + 2) pounds

Weight of second bag = 5 pounds

The two shopping bags weigh the same amount. So,

[tex]6x+2=5[/tex]

[tex]6x=5-2[/tex]

[tex]6x=3[/tex]

Divide both sides by 6.

[tex]x=\dfrac{3}{6}[/tex]

[tex]x=0.5[/tex]

Therefore, the weight of each bag of dried beans is 0.5 pounds.

The weight of each bag of dried beans is 0.5 pounds.

Given that,

Mrs. Kato has 6 bags of dried beans i.e. 6x and a 2-pound bag of rice in one shopping bag.In another shopping bag she has a 5-pound bag of flour. The two shopping bags weigh the same amount.

Based on the above information, the calculation is as follows:

6x + 2 = 5

6x = 5 -2

6x = 3

x = 0.5

Therefore, we can conclude that the weight of each bag of dried beans is 0.5 pounds.

Learn more: brainly.com/question/24169758

Lines m and n are parallel 70° a с d n Find the missing angle measures Enter your answers in the boxes ​

Answers

A is 110, B is 70, C is 110, D is 70, G is 110, E is 110, and F is 70

What similarity property, if any, can be used to show that the following two triangles are similar.

A.) SSS
B.) SAS
C.) AA
D.) Not enough information given

Answers

My guess is SAS, it’s definitely not a or d

The two triangles could be similar by the AA similarity property. So, option C is correct.

What is AA similarity property?

AA is angle-angle similarity property.

In the given figure, both of these triangles show two given angles which are 42 degrees.

The other two sides are different and not proportional to each other.

So, The two triangles could be similar by the AA similarity property.

Thus, option C is correct.

Learn more about similarity property;

https://brainly.com/question/5364617

#SPJ2

I NEED THIS IN 10 MINUTES !!
I HAVE A TEST AND WON OF THE QUESTIONS ARE SUPER DIFFICULT , the sum of 12 millions and 17 millions !!

Answers

Answer:

29,000,000

Step-by-step explanation:

Answer:

29,000,000,000

Step-by-step explanation:

Help please I am in dire need

Answers

Answer:

Answer is d=9t.

Step-by-Step:

4.5/.5=9

6.75/.75=9

13.5/1.5=9

Answer is D=9 lololloojdjdhd

Evaluate 7(-4) - |-6| + |4|

Answers

Answer:

-30

Step-by-step explanation:

7x-4=-28-6=-34+4=-30

Pls mark as brainliest!!!!!

Answer:

The answer for this is -30.

Step-by-step explanation:

Basically, you start out with solving the equation from left to right (as always). First, you multiply 7* -4, and you get -28. Then you have -28 - |-6| + |4|. Now, |-6| is equal to 6, since it's the absolute value of -6. |4| is equal to 4 for the same reason as well. That leaves you with -28 - 6 + 4. Now you just solve left to right. -28 - 6 is -34, so then you have -34 + 4, which is equal to -30.

Hope that helped!

A group of three friends order a combo meal which includes case slices of pizza and a drink each drink is priced at 2:50 if the time and channel is 3150 how much is the cost of a slice of pizza

Answers

Given :

A group of three friends order a combo meal which includes case slices of pizza and a drink each drink is priced at $2.50 .

Total bill, T = $31.50 .

To Find :

The cost of a slice of pizza.

Solution :

Price of 3 drinks, P = 3×2.50 = $7.5  .

Now,

[tex]\text{Price of each slice }=\dfrac{\text{Total price - Price of drinks}}{\text{Number of slice}}\\\\p = \$(\dfrac{31.50-7.50}{3})\\\\p = \$8[/tex]

Therefore, price of each slice of pizza is $8.

Hence, this is the required solution.

Please help! Which inequalities represents the domain & range of this problem

Answers

Answer:

X ≥ 20 and f(x) ≥ 1020

Step-by-step explanation:

compare the decimal form of 2/5 and 4/9

Answers

Step-by-step explanation:

they are equal equally.

Answer:

The decimal form of 2/5 is .40. The decimal form of 4/9 is 0.4444. So 2/5 is smaller than 4/9, but if you round, they are equal.

Step-by-step explanation:

To get the decimal, you divide the numbers: 2 divided by 5 and 4 divided by 9.

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