Draw the graphs of the equations y=8/3x and y=-8/3x on the same coordinate plane. Name their point of intersection as p. State the coordinate of the point p.
Answers
Answer:
Here we want to graph the equations:
f(x) = y =(8/3)*x
and
g(x) = y = -(8/3)*x
To graph these you need to find some coordinate points of each one, and then connect them, such that the graph of these two equations can be seen below.
Where the blue one is f(x) and the green one is g(x)
We now want to look at the graph and find the point of intersection p.
By looking at the graph below, we can see that the intersection is at the origin, then p = (0,0)
Also remember that an intersection of two functions means that:
f(x) = g(x)
for that particular x value, then we can solve this for our functions and get:
(8/3)*x = -(8/3)*x
That equation is only true when x = 0
Then we have the intersection at x = 0, and the correspondent y value is given by f(0) or g(0) (will be the same value)
y = f(0) = (8/3)*0 = 0 = -(8/3)*0 = g(0)
Then we also found analytically that the intersection is in the point (0, 0)
Related Questions
HELP ASAP!
Find the surface area of the figure. Round to the nearest hundredth if necessary ^
Answers
Answer:
1187.52 yd^2
Step-by-step explanation:
SA=2πrh+2πr^2
R=9
H=12
So, 2(3.14)(9)(12)+2(3.14)(9)(9)=1187.57yd^2
f(x) = x°-9x
g(x) = x2 - 2x-3
Which of the following expressions is equivalent to f(x)/g(x), for x > 3
Answers
and
g(x)=x^2-2x-3
so you just need to divide f(x) by g(x)
Therefore:
f(x)/g(x) = (x^3-9x) / (x^2-2x-3)
and of course you need to factor these two function to see if some factor would cancel another
x^3-9x = x(x^2-9)=x(x-3)(x+3)
and
x^2-2x-3 = (x-3)(x+1)
Choose the expression that shows the difference between x and y.
Answers
Answer:
the difference between x and y is x-y.
Step-by-step explanation:
please help me.
Here are the final scores for professional soccer team for past 5 tournament
3, 4, 1, 5, 2
Find the mean absolute deviation of team's scores.
A. 1.2
B. 3
C. 0.6
D. 3.2
Answers
Answer:
B(3)
Step-by-step explanation:
reorder 1,2,3,4,5
middle number is 3
A circular pool has a radius of 3.2 meters. which is closest to the area of the pool
Answers
Answer:
32.17
Step-by-step explanation:
[tex]A= \pi[/tex] × [tex]r^{2}[/tex]
A= [tex]\pi[/tex] × [tex]3.2^{2}[/tex] ≈ [tex]32.16991[/tex]
A= [tex]32.17[/tex]
Is this unbiased or biased?
The Bernal leadership class is going to sell spirit t-shirts for students and needs to order a color that most students would like to wear, so they ask every fourth student entering the school about their favorite t-shirt color to make a decision about all Bernal students.
Answers
Biased, because some students may not like that color, and thus going off of the most popular opinion is only supporting the most popular color. Adding onto that, not every student even gets to vote since it is only every 4th student.
pleaseeeeee help!!!!!!!!!!
Answers
Answer:
The conditions for calculating a confident surgery were clearly not past.
Step-by-step explanation:
When you are testing a vaccine of a surgery, there needs to be a over 60% success rate at which the vaccine of the surgery is affective, otherwise, it is decided that that medical procedure of medicine isn't safe. There have been some exceptions in the past when a vaccine for example was used with a 40% success rate, only because the public required this vaccine in there time.
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student has a cat given that they do not have a dog? ( NO LINKS )
Answers
Given:
Number of students who has a cat and a dog = 5
Number of students who has a cat but do not have a dog = 11
Number of students who has a dog but do not have a cat = 3
Number of students who neither have a cat nor a dog = 2
To find:
The probability that a student has a cat given that they do not have a dog.
Solution:
Let the following events:
A = Student has a cat
B = Do not have a dog
Total number of outcomes is:
[tex]5+3+11+2=21[/tex]
The probability that a student has a cat but do not have a dog is:
[tex]P(A\cap B)=\dfrac{11}{21}[/tex]
The probability that a student do not have a dog is:
[tex]P(B)=\dfrac{11+2}{21}[/tex]
[tex]P(B)=\dfrac{13}{21}[/tex]
The conditional probability is:
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{P(A\cap B)}{P(B)}[/tex]
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{\dfrac{11}{21}}{\dfrac{13}{21}}[/tex]
[tex]P\left(\dfrac{A}{B}\right)=\dfrac{11}{13}[/tex]
Therefore, the probability that a student has a cat given that they do not have a dog is [tex]\dfrac{11}{13}[/tex].
Worth lots of point will give brainiest! Help ASAP! Has to be correct.
Find the measure of measurement of angle w.
Answers
Answer:
w=87
Step-by-step explanation:
4x+7=5x-13
7=x-13
x=20
Given the circle O with the diameter AB. Find x in degrees.
A) 40 degrees
B) 60 degrees
C) 80 degrees
D) 120 degrees
Answers
Answer:
B) 60 degrees
Step-by-step explanation:
. If you know the circumference of the circle, divide it by π to get the diameter.
which is an irrational number?
Answers
What is the graph of the system?
y 3x + 4
2x + y = -4
Your answer
Answers
Answer:
x
y
−
2
80
−
1
38
0
−
4
1
−
46
2
−
88
Step-by-step explanation:
i need the correct answer please i’ll give u a brainliest
Answers
Answer:
V=75.4 m^3
Step-by-step explanation:
V=pi*r^2*h
V=pi*2^2*6
V=4*6*pi
V=24*pi
V=75.39 or 75.4 m^3
wel swam 86 meters. Tyrel swam 53 meters.
Answers
Answer:
wel swam 86 meters. Tyrel swam 53 meters. so what is the question
Answer:
Im guessing its who swam faster.
3x + 2y = 9
y = 4x – 1
(solve algebraically)
Answers
3x+2(4x-1)=9
11x-2=9
+2 +2
11x=11
X=1
Y=4x-1
Y=4(1)-1
Y=3
A recipe for lemonade calls for 4
cups of sugar for every 24 cups of cold
water. If you only have 2 cups of sugar,
how much water should you use?
Answers
6 • 2 = 12
12 cups of water
Debra and her study partner flipped a coin 90 times. they flipped 40 heads and 50 tails. What is the experimental probability that the next flip will be heads upl
Answers
Answer:
1/2
Step-by-step explanation:
If you have two possible outcomes then the chance you will get heads is 1/2.
Have a wonderful day! :)
The diameter of a truck wheel is 56.5 inches. What is the circumference of
the wheel?
Answers
Answer: 177.4999849 , or 56.5pi
Step-by-step explanation:
You simply divide the diameter by 2 to get the radius (28.25) and then plug into the circumference equation, 2*pi*r = Circumfrence.
Answer:
177.5 inches
Step-by-step explanation:
c = 2πr
d = r2
56.5/2=28.25
28.25x3.14= 88.705
88.705x2=177.41
Round, and you’ll get 177.5.
Find the equation of the line.
Answers
Answer:
y = -3/2x + 3
Step-by-step explanation:
y = -3/2x + 3
have x 50 notes and y N100 notes. There
are eight notes altogether and their total
value is N550. How many of each note do
I have
Answers
Answer:
hi
Step-by-step explanation:
hi
1. 50x + 100y = 550 (value of the notes x the number of each note)
2. x + y = 8 (the number of each note added).
3. Multiply the second equation by 50 so that it the x variables are the same in both equations. Thus, 50x + 50y = 400.
4. Subtract 50x + 50y = 400 from 50x + 100y = 550.
5. The subtraction results in 50y = 150.
6. Divide by 50. y = 3, so x must equal 5.
Use the calculator to see how much you can save. Let's say you start with $2,000, save $100 a month for 10 years, and the account has a 2.5% interest rate. Based off of that calculation, how much interest would you earn?
Answers
Answer:
2500
so first you have to 100x 10 then times 2.5
Step-by-step explanation:
help is appreciated
(ANY LINKS OR WEBSITES WILL BE REPORTED)
:) will give brainliest
Answers
Answer:
95/9
Step-by-step explanation:
It will be easier for us to make the mixed numbers fractions.
2 1/3 = 7/3
8 2/9 = 74/9
now we want them to have the same denominator so we multiply the 7/3 fraction by 3/3.
21/9 + 74/9 = 95/9
The age of 10 factory workers is shown in the table. If a 58 year-old worker is added, by how much will this increase the median age of the workers?
Answers
Answer: 3 years
Step-by-step explanation:
usa test prep
what is this please!!!!! 20= -6+2n
Answers
Answer:
n = 13
Step-by-step explanation:
20= -6+2n
Add 6 to each side
20+6= -6+6+2n
26 = 2n
Divide each side by 2
26/2 = 2n/2
13 =n
In the diagram, parallel lines P and O are out by
transversal R. What is the value of
Only 0,1,2,3,4,5,6,7,
8.9,-,- and I are
allowed in your answer.
Answers that are mixed
numbers must be entered
as an improper fraction or
Ceomal
Answers
Answer:
x = 45
Step-by-step explanation:
The angles are supplementary
(2x + 40) + (3x - 85) = 180
Combine like terms
5x - 45 = 180
Add 45 to both sides
5x = 225
Divide both sides by 5
x = 45
Rewrite each number sentence using numerals and symbols.Find 5 less than the product of 8 and 4 *
Answers
Solve for b.
b - 16 = 83
b =
Answers
Answer:
Hello! answer: b = 99
Step-by-step explanation:
To find b we just have to add 83 + 16 so
83 + 16 = 99 and 99 - 16 = 83 So B = 99
Answer:
B=99
Step-by-step explanation:
in our school school we were told that if a number is on the other side of the equals and it is - when you take it to the other side it will be addition so that is what I've just done hope you understand and if it was addition when we take it to the other side it would be subtraction.
pleease help me with 50 times 50 please
Answers
Answer:
2500
Step-by-step explanation:
45 Points HELP RIGHT NOW!!!! Due in 2 hours!!!!! NO websites are allowed and please give me the order like this I need the steps too!!! I will mark you brainless too don’t answer for points or your reported
1 (table)
2(dog walker)
3(Ms Scholl)
Answers
Kayaker=12.5, so 12 knots
Commercials=9 commercials per hour
Dog= 7 miles
Tutoring=750 dollars
ILL MARK YOU BRAINLIEST SHOW WORK THO PLS
3(s+4) = s+10+2s
Answers
Step-by-step explanation: it means no solution
hope it is helpful to you
Answer:
This equation has no solutions
Step-by-step explanation:
3(s+4)=s+10+2s
Distribute
3s+12=s+10+2s
Add like terms
3s+12= 3s+10
Subtract 3s from both sides
0 + 12=10
This equation has no solutions