Answer: Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
A motorboat moves across a lake at a constant speed. When it begins, it is 48
km from the shore. After 10 minutes, it is 18 km from the shore. Which
function describes the motorboat's distance from the shore?
O A. y = 10x+48
B. y=-3x + 48
O c. y=-10x + 48
O D. y = 3x + 48
Answer:
b
Step-by-step explanation:
The function describes the motorboat's distance from the shore is y=-3x + 48. So, the correct option is B.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, a motorboat moves across a lake at a constant speed.
Let x be the number of minutes and y be the total distance.
When it begins, it is 48 km from the shore.
Now, (x₁, y₁) =(0, 48)
After 10 minutes, it is 18 km from the shore.
So, (x₂, y₂) =(10, 18)
We know that, Slope(m) =(y₂-y₁)/(x₂-x₁)
= (18-48)/(10-0)
= -30/10
= -3
Substitute, (x, y)=(0, 48) and m=-3 in y=mx+c, we get
48=-3(0)+c
c=48
Substitute, c=48 and m=-3 in y=mx+c, we get
y=-3x+48
Therefore, option B is the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
Which function displays this end behavior?
• As xapproaches negative infinity, y approaches positive infinity.
• As xapproaches positive infinity, yapproaches negative infinity.
A.) y = (x+ 2)^3 -9
B.) y = -2x^3-1
C.) y = -3x^3 + 4
D.) y = 3(x-1)^2
The functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches -∞ are:
Option B: [tex]y = -2x^3-1[/tex]Option C: [tex]y = -3x^3 + 4[/tex]How to find the value of the function as x approaches infinity(+ve or -ve)?If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.
Testing all the four functions listed for x tending to -∞ or ∞:
Case A: [tex]y = (x+ 2)^3 -9[/tex]1. For x approaching -∞
[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} ((x+2)^3 - 9) = -9 + lim_{x \rightarrow -\infty} ((x+2)^3) \rightarrow - \infty[/tex]
(since cube of negative quantity is going to be negative)
Thus, function also tends to -∞. So this function doesn't satisfy first case, thus, we don't need to test other case as only that function is needed which can satisfy both the cases.
Case B: [tex]y = -2x^3-1[/tex]1. For x approaching -∞
[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow -\infty} (-2x^3) \rightarrow \infty[/tex]
(this time, negative sign was canceled by outer negative. So function approaches positive infinity as x approaches negative infinity.
2. For x approaching ∞
[tex]lim_{x \rightarrow \infty} (y) = lim_{x \rightarrow \infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow \infty} (-2x^3) \rightarrow -\infty[/tex]
So function approaches negative infinity as x approaches positive infinity
Thus, the considered function behaves as needed.
Case C: [tex]y = -3x^3 + 4[/tex]Similar to above cases, we can see that negative sign and cube power will make this function go to positive infinity as x approaches negative infinity, and as x approaches positive infinity, the function will approach negative infinity.
Remember that finite constants added or subtracted from arbitrary large quantities(positive or negative infinity) can't affect them.
Case D: [tex]y = 3(x-1)^2[/tex]Here x is in square power, no matter if x approaches +ve or -ve infinity, the square term would make it positive. So this function cannot approach negative infinity.
Thus, only Option B and C are performing as needed. Therefore, the functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches -∞ are:
Option B: [tex]y = -2x^3-1[/tex]Option C: [tex]y = -3x^3 + 4[/tex]Learn more about limiting values of a function here:
https://brainly.com/question/13146225
Answer: y=-2x^-1
Step-by-step explanation:
First to answer and get right gets brainleist and there is ma points pls help
Answer:
#11 is D. x = u - k
#12 is D. x = gc
Step-by-step explanation:
I plugged random integers to test this. Anyhow, just do the inverse operation.
#11:
13 = x + 8
x = 13 - 8
x = 5
Here, x = u - k is the new equation.
#12:
23 = x/9
x = 23(9)
x = 207
Here, x = gc is the new equation.
Question Help The mean finish time for a yearly amateur auto race was 185.64 minutes with a standard deviation of 0.314 minute. The winning car, driven by Sam, finished in 185.29 minutes. The previous year's race had a mean finishing time of 110.3 with a standard deviation of 0.129 minute. The winning car that year, driven by Rita, finished in 110.02 minutes. Find their respective z-scores. Who had the more convincing victory?
Answer:
Sam has the more convincing victory with a greater Zscore value
Step-by-step explanation:
Given that :
Year 1:
Mean finish time (m) = 185.64
Standard deviation (s) = 0.314
Sam's time (x1) = 185.29
Year 2:
Mean finish time (m) = 110.3
Standard deviation (s) = 0.129
Rita's time (x1) = 110.02
Zscore = (x - mean) / standard deviation
Sam's Zscore :
(185.29 - 185.64) / 0.314
= - 0.35 / 0.314
= −1.114649
= - 1.115
Rita's Zscore :
(110.02 - 110.3) / 0.129
= - 0.28 / 0.129
= −2.170542
= - 2.171
Sam has the more convincing victory with a greater Zscore value
PLZZZ HELP NO ONE WILL HELP ME PLZZZZ IM GIVING 50 POINTS PLZZZZ
Please help me if u know
Answer: x = [tex]\frac{3+\sqrt{21} }{4}[/tex]
x = [tex]\frac{3-\sqrt{21} }{4}[/tex]
Step-by-step explanation:
Which scenario will have a quotient of 4/12?
A. Andrew has 4 liters of juice and wants to pour an equal amount of juice into 12 identical glasses. How many liters of juice will each glass contain?
B. Emily jogs 4 kilometers every day. What is the total distance she jogs in 12 days?
C. Nadia has 12 cookies and wants to distribute them evenly with her 3 friends and herself. How many cookies do Nadia and her friends each receive?
D. Steven uses 12 liters of red paint and 4 liters of yellow paint to make orange paint. What is the amount of red paint used for each liter of yellow paint?
Answer: A
Step-by-step explanation: just a feeling
Answer:
a
Step-by-step explanation: the question is aking you what 4/12 equals.
the answer A is asking you what 4 divided by 12 is (0.33333333)
b) is multiplying
c) is has a 3 which is not in the question
d) is improper
What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.) 18.84 m 3 100.48 m 3 33.49 m 3 25.12 m 3
Answer:
Step-by-step explanation:
the formula for Volume of the sphere is
V=4/3 * π*r^3
diameter =4, r=2
V=4/3 * 3.14 * 8=33.49
You buy a movie ticket for $5.25 and popcorn for $2.98. You pay with a 10-dollar bill. How much change will you get back?
Answer:
$1.77
Brainliest please?
Step-by-step explanation:
5.25+2.98=8.23
10-8.23=1.77
•••••••••••••••••••••
Answer:
the answer is g
Step-by-step explanation:
20 desktops plus 15 laptops equals the 30 computer's and there's 5 more desktops than laptops. you welcome <3
Answer:
Step-by-step explanation:
Correct anwser is F because there are 5 more desktops than laptops and there is 35 total computers so it’s just 35-5 which is 30 which is 30+5=36 see it’s easy hope I helped
Given g(x) = (x - 3)2 and h(x) = 2x + 1, which of the following is (g.h)(5)?
(A) 35
(B) 38
(C) 44
(D) 45
Answer:
B
Step-by-step explanation:
2.31 (1 repeating) as a fraction
Answer:
[tex]\frac{231}{100}[/tex]
This is assuming that you can simplify the 2.31 to the nearest hundredth.
HELP ASAP
A company advertises on a website.
A worker tracked the number of visits to the website and the number of clicks
on the advertisement.
The table shows the data for several days.
A linear function can be used to model the data.
Based on the table, what is the best prediction of the number of clicks on the
advertisement if 1500 people visit the website?
A 137
B 77
C 83
D 105
Answer:
I'm sure the answer is A
Step-by-step explanation: There is none, I saw someone else answer this.
Answer:
I'm pretty sure it's 83
Step-by-step explanation:
Teacher explanation that I still don't really understand
If someone can just answer the first question that would be so helpful plzzz
Answer:
I'm guessing that when you graph it, the graph changes direction when it's not on the x-axis. the "real zeros" of a graph are the ones that go through the x-axis and then imaginary ones are the ones that don't.
Step-by-step explanation:
what is the LCD of 8/9 and 7/8
Answer:
72 I think
Step-by-step explanation:
I'm not 100% sure but I think its 72
Answer:
The Least Common Multiple (LCM) of 8 and 9 is 72,
and the Least Common Multiple (LCM) of 7 and 8 is 56.
HELP PLEASE THIS IS MY 3RD TIME POSTING THIS QUESTION PLEASE HELP
Answer:
11 1/2
Step-by-step explanation:
cause no one wana take the time to help u they not cool brainliest pls pls pls
Answer:
11 1/2 t just did this problom
Step-by-step explanation:
Chen wants to buy a model car and race track with his allowance. He has $30 to spend. The model car costs $8.50, and he will spend the rest of the money on pieces of race track. Each piece of race track costs $2.25.
A. Write an inequality to find the number of race track pieces he can buy.
B. Identify the meaning of your variable.
C. Explain how many pieces of race track he can buy and how much change he will receive from his $30.
Answer:
All below
Step-by-step explanation:
A. 8.50+2.25x is greater than or equal to $30.00
B. X=number of piece of race track
C. 9
A contractor is building a tower shaped like a tall
rectangular prism. He is told that the dimensions
of the tower must be 50 ft x 80 ft x 250 ft. The
building is to have 20 floors with a 2.5 ft tall
portion between each floor and for the roof. What
is the volume of each floor of the building?
A. 40,000 ft3
B. 49.500 ft
C. 50,000 ft
D. 60,000 ft
Answer: I put 50,000 ft^3
Step-by-step explanation: You have to multiply 50, 80, 250 then divide by 20 because you’re looking for the floors only and not the roof and floor
13. Solve 2/3 + 5/6 and put answer in simplest
form.
O A. 11/2
B.
c. 76
D.776
Answer:
3/2 or 1 + 1/2
i havent done fractions in a long time but this is what i got from memory
you turn the 2/3 into 4/6 so they can easily be added together to get 9/6 which can be simplified to 3/2 or in proper form 1 + 1/2
If f(x) =2x²-x, find f(-4)-f(9)
What is 25% of 92?
Pls help thank you so much
Answer: 23
Hope that helps!
Answer:
23 :)
Step-by-step explanation:
State the domain and range of the function:
domain:
range:
Answer:
Domain: [-5, 1)
Range: (5, 1]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, our x-values span from -5 to 1. Since -5 is a closed dot, it is inclusive in the domain. Since -1 is an open dot, it is exclusive in the domain:
[-5, 1)
According to the graph, our x-values span from -5 to 1. Since -5 is an open dot, it is exclusive in the range. Since 1 is a closed dot dot, it is exclusive in the range:
(5, 1]
how many rectangles from 18 square boxes
Answer:
9 rectangles
Step-by-step explanation:
two squares form a rectangle.
18 ÷ 2 = 9
Help plz! Will give brainliest!
Answer: the answer is d god bless you and plz can i have brainliest i only need 1 more
Step-by-step explanation:
Answer:
D sqrt 72
Step-by-step explanation:
The answer is not A because 8.89 = sqrt 79 and that is too high
The answer is not B because 9.06 = sqrt 82
The answer is not C because 7.94 = sqrt 63
The answer is D 8.49 = sqrt 72 and that is perfect.
What is the location of Point A
Answer:
Wheres the rest of the question
Step-by-step explanation:
Answer:
You need to show the picture so we can help you with all due respect
Step-by-step explanation:
Mr.Harrison is reading a map to plan his vacation route. The map has a scale of 1 cm Equal 18 miles. He measure the length on the map for his vacation route to be 14 centimeters. What is the length of vacation route in miles?
Answer:
252 miles
Step-by-step explanation:
What is the circumference, in feet, of the circle. Round to the nearest tenth
Answer: 4.7 ft
Step-by-step explanation:
Since this is a diameter we are going to do the formula that uses the diameter to find the circumference.
C=3.14(d)
1.) Insert the numbers into the formula: C= 3.14*1.5
You’ll get 4.71 as your answer.
Next round to the nearest tenth and you’ll get 4.7.
Hope this helps!
Who gets this correct gets the brainliest answer
Answer:
(-1,3) (0,-2) are two points that the line goes directly through. count the rise/run from the point furthest left to the one further right. you go down 5 and right 1. since you had to go down to get there, the slope is negative. slope is rise over run so in this case it's -5/1 or slope is = -5
to find the y-intercept, you find where the line crosses the y-axis. you find what y is when x is 0. in this case it's -2
slope = -5
y-intercept = -2
and if it asks for an equation of the line, you plug those given values above, into the slope intercept form which is : y=mx+b
where m is the slope
b is the y-intercept
the equation of this line is " y = -5x -2 "
Which ordered pair is a solution of
2x – 3y = 6?
A. (5, 1) B. (0, 6) C. (4, 3) D. (6, 2)
A model airplane is 18 centimeters long. If the actual airplane is
60 meters long, what scale was used to create the model.
QUICK PLZ ILL GIVE BRAINLIEST
Answer:
13 so yeah it correect