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) 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
Answer:
I had the same problem! Here is my work, pretty sure its the right answer!
Step-by-step explanation:
Related Questions
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
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:
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
£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
Hahshxnxjennshsne did. D d d s s d d d
Answers
Answer:
are you okay?
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
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.
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
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
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:
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
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
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.
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
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 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
Is it possible for two triangles to have the same side lengths but not be congruent?
Answers
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
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;
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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:
Please help! Which inequalities represents the domain & range of this problem
Answers
Answer:
X ≥ 20 and f(x) ≥ 1020
Step-by-step explanation:
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
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!
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:
Lines m and n are parallel 70° a с d n Find the missing angle measures Enter your answers in the boxes
Answers
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
Explain WHY a rotation of 180° is the same as doing
reflection over the x-axis AND the y-axis?
Answers
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:
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
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
Help? Please I’m desperate
Answers
Answer:
its called a calculator division and multiplication
Step-by-step explanation: