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
Consider the equation y = 3x - 1. Identify the slope and y-intercept and
sketch the graph.
can you guys help me pleasee ?
Answers
Answer: slope=3
y intercept :(0, -1)
Step-by-step explanation:Use the slope-intercept form to find the slope and y-intercept
Which graph represents a function?
Answers
a. Each day, your teacher randomly calls on 5 students in your class of 30. What is the
probability you will be called on today?
Answers
Answer:
The probality is 5/30 or in simpliest form it is 1/6!
Step-by-step explanation:
Hope this helps! Plz give me brainliest
Avery and Nolan's baseball teams are fundraising. Avery's team has reached ⅗ of their goal. Nolan's team has reached 5/9 of their goal. Avery says her team collected more money than Nolan's team. Both of the goals are $450. Is Avery correct?
Answers
Answer:
Yes , Avery is correct
Step-by-step explanation:
To check if Avery is correct, we need to know the exact value obtained in each of their goals
For Avery’s team;
3/5 * 450 = $270
For Nolan’s team
5/9 * 450 = $250
Since $270 is greater than $250, we can see that Avery’s team collected more money
Which subtraction expression
has the difference 1 + 4i?
O (-2+ 6i) - (1 - 2i)
O (-2+ 6i) - (1 - 2i)
O (3 + 5i) - (2 - i)
O (3 + 5i) - (2 + i)
Answers
Answer: d, (3+5i)-(2+i)
Step-by-step explanation:
i’m smart
The subtraction expression that has the difference 1 + 4i is (3 + 5i) - (2 + i).
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can find the difference 1 + 4i by subtracting the complex numbers in each expression and checking which one gives us the result of 1 + 4i.
Let's start with option (a):
(-2 + 6i) - (1 - 2i) = -2 + 6i - 1 + 2i = -3 + 8i
This is not equal to 1 + 4i, so option (a) is not the correct answer.
Let's move on to option (b):
(-2 + 6i) - (1 - 2i) = -2 + 6i - 1 + 2i = -3 + 8i
We have already seen this expression and it is not equal to 1 + 4i. Therefore, option (b) is also not the correct answer.
Let's move on to option (c):
(3 + 5i) - (2 - i) = 3 + 5i - 2 + i = 1 + 6i
This is not equal to 1 + 4i, so option (c) is not the correct answer.
Finally, we have the option (d):
(3 + 5i) - (2 + i) = 3 + 5i - 2 - i = 1 + 4i
This is equal to 1 + 4i.
Thus,
The subtraction expression that has the difference 1 + 4i is (3 + 5i) - (2 + i).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
2divided by 1/2
A. 2
B. 16
C. 8
D. 4
Answers
Answer:
It's letter D. It's four.
Calculate the rise and run to find the slope of each line
Answers
Answer:
Step-by-step explanation:10
Answer:
1) slope m=-4
2) slope m=-5/4
3) slope m=1
4) slope m=-2
5) slope m=3/5
6) slope m=5/8
Step-by-step explanation:
Slope equation: m=y2-y1/x2-x1
With our slope equation can get just use the graph and choose two points that the line crosses over.
Question 1 example) I chose points (0,-3) as my x1, y1, and point (1,-1) as my x2, y2. I plugged the numbers into the equation and got -1-3/1-0=-4. Which is why our slope is -4
The rest of the questions follow the same concept of Finding two points, decide which one is your x1, y1 and which one is you x2, y2 (does not matter which one you associate with each point), plug the numbers in, and calculate the slope.
(I may be wrong because the graph is a little blurry)
Hope this helps you
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
That looks like interior angle to me
x = 47 (since interior angles are congruent)
Step-by-step explanation:
I am really sleepy... :/
Can someone help me with the questions in the picture?
Answers
Answer:
25) B obtuse scalene
26) A acute isosceles
27) A acute isosceles
28) D obtuse isosceles
29) D right scalene
30) C obtuse isosceles
31) C obtuse scalene
32) C acute scalene
Step-by-step explanation:
A scalene triangle has sides of no equal measures (no side has the same length as another). An isosceles triangle has two sides of the same length. An equilateral triangle has three sides that all have the same lengths.
An acute triangle has all three angles that each measure less than 90°. An obtuse triangle has one angle that measures greater than 90°. A right angle has one angle that measures exactly 90°.
Hope this helps :)
solve for x: -5|x + 1| = 10
Answers
Answer:
x=-3
Step-by-step explanation:
-5(x+1)=10
-5x-5=10
-5x= 15
x=-3
6
4.
2
74-22
2
4-
6
Slope
Answers
Benny went to his local zoo that featured 6 lion exhibits. If these lion exhibits make up 25% of the zoo's exhibits, then how many exhibits does the zoo have in total?
Answers
Answer:
24
Step-by-step explanation:
if 6 exhibits are 25% of the entire zoo. You would need four times that amount to get the total number of exhibits because 25% × 4 = 100%. So, if you multiply 6 × 4 the total number of exhibits would be 24.
EASY POINTS Y'ALL!!!!
Answers
Answer:
subtracting 18 from both sides isolate the variable term
Is 10, 24, and 13 a Pythagorean triple?
A. yes
B. cannot tell
C. no
Answers
Answer:
C. no
Step-by-step explanation:
Please Help Me I will give you 100 Points
Answers
Answer:
twoendndbdsjwu
Step-by-step explanation:
Answer:
a. x represents the 1$ rides and y represents the 2$ rides.
b. they represent the rides that she has taken.
c. (4, 11) or x = 4 and y = 11
Step-by-step explanation:
determine the angle of x :p
Answers
Answer:
x=-10 I think?? because they are congruent
If two gallons of gas cost $5.40, how many gallons can be purchased for $13.50?
Answers
Answer:
5 gallons because 13.5 divided by 5.4 is 2. 5 so times 2 so 5
Answer:
5 gallons.
Step-by-step explanation:
two gallons=$5.40
? gallons=$13.50
you cross multiply
2 × $13.50÷$5.40
27÷5.40=5 gallons
What is the y-intercept of f(x)
= (3/5)^x?
Answers
Answer:
(0,1)
Step-by-step explanation:
its right
What is a pre-image?
Answers
Answer:
an image before the image your seeing
Step-by-step explanation:
If you subtract a negative number to another negative number do you get a positive answer or negative?
Answers
Answer:
Negative
Step-by-step explanation:
Because Depending on which number is the biggest it's negative and the rules say the same signs add different subtract and keep the sign of the bigger number so
positive minus a negative= positive (6-3=3)
negative-positive= negative (-10+5= -5)
Example: What is 6 − (−3)? Yes indeed! Subtracting a negative is the same as adding!
A contestant on the Biggest Loser tv show started at 380 lbs. When the show ended, the contestant weighed 225 lbs. What was the contestants percent decrease?
Answers
percent = 115/380 * 100 = 40.8 %
Answer:40.789%
Step-by-step explanation:
380-225=155
155/380=0.40789 or 40.789%
does anybody even understand algebra?
Answers
Answer:
I do not understand thank you for asking
Step-by-step explanation:
thank you
Answer:
B (2,22)
Step-by-step explanation:
Which ratio is equivalent to 10:2
Answers
Answer:
5:1
Step-by-step explanation:
The ratio 10: 2 will be equivalent to ratios 20:4, 30:6, 40:8, and 50:10. Then all the options are correct.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The equivalent is the expression that is in different forms but is equal to the same value.
The ratio is given below.
Ratio = 10 / 2
Multiply and divide the ratio by 2. Then we have
Ratio = 10 x 2 / 2 x 2
Ratio = 20 / 4
Multiply and divide the ratio by 3. Then we have
Ratio = 10 x 3 / 2 x 3
Ratio = 30 / 6
Multiply and divide the ratio by 4. Then we have
Ratio = 10 x 4 / 2 x 4
Ratio = 40 / 8
Multiply and divide the ratio by 5. Then we have
Ratio = 10 x 5 / 2 x 5
Ratio = 50 / 10
The ratio 10: 2 will be equivalent to ratios 20:4, 30:6, 40:8, and 50:10. Then all the options are correct.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
The missing options are given below.
20:4
30:6
40:8
50:10
Vicky records the low temperature for three consecutive days. Between the first and second days the temperature increased 6 degrees. Between the second and third days the temperature decreased 3 degrees. On the third day the low temperature was –6º. What was the low temperature on the first day?
Answers
Answer:
3
Step-by-step explanation:
-6+6=0
Plus the 3
Your answer is 3
Answer:
-3 or 3
Step-by-step explanation:
which is greater? 2/3 or 3/4?
Answers
Answer:
3/4
Step-by-step explanation:
When finding common denominators the answer would be 3/4.
Answer:
2/3 is not greater than 3/4
Step-by-step explanation:
add (4x^2-xy-y^2) and (x^2+5xy+8y^2) simplify your answer:
Answers
Answer:
To find a, b, and c, rewrite in the standard form ax2+bx+c=0ax2+bx+c=0.
a=1, b=3, c=0
Answer:
4x^2-4xy-3\frac{y^2}{2}x^2-5xy-3y^2 is 2
−3x^2 y^2 +8x^2 −18xy−6y^2
Step-by-step explanation:
Writing an Equation Given Two Point
A line has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is
Answers
3
⋅
4
=
12
to say an equation for this line is
4
x
+
3
y
=
12
(since, when
y
=
0
, it follows that
x
=
3
and when
x
=
0
it follows that
y
=
4
).
You could also find the slope of the line containing the points
(
x
,
y
)
=
(
3
,
0
)
and
(
x
,
y
)
=
(
0
,
4
)
as
Δ
y
Δ
x
=
4
−
0
0
−
3
=
−
4
3
so that the equation has the form
y
=
−
4
3
x
+
b
, where
b
is the
y
-intercept so the equation becomes
y
=
−
4
3
x
+
4
. This is equivalent to the last answer because you can multiply everything by 3 and rearrange to get
4
x
+
3
y
=
12.
Find the distance between A and B
Answers
Answer:
The distance between A and B is 2.6
Step-by-step explanation:
We know that there are 2 whole numbers from -1 to 0 and 0 to 1. Then we can add the 0.3 from both sides. 0.3 plus 0.3 is 0.6.
I hope this helped and if it did I would appreciate it if you marked me brainliest, thank you and have a nice
day
Answer:
27 cm or 2in and 6cm!
Step-by-step explanation:
count the lines.
???? If you know it, put it down below :)) thanks!
Answers
Answer:
66
Step-by-step explanation:
5÷4/9 help mee :_<<<<<<
Answers
Answer:
45/4 I think
Step-by-step explanation:
you would do keep flip switch
so 5 would be 5/1, flip 4/9 to become 9/4 then multiply 5/1 by 9/4
hopefully this helps you
Answer:
5 divided by 4/9 equals 45/4, or 11.25
Step-by-step explanation: