Answer:
The y intercept is (0,-12)
Step-by-step explanation:
You use the slope formula and the slope-intercept form to find the slope m and then the y intercept b.
Answer:
(0, -12)
Step-by-step explanation:
In order to find the y-intercept of the equation y = mx + b ( where m is the slope and b is the y-intercept), we first have to find the slope. We can do this by using the two points given to us.
To find the slope:
The slope is equal to: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
Let's plug (5,8) and (12,36) into the equation:
[tex]\frac{36 - 8}{12 - 5}[/tex]
Now let's solve for the slope:
36 -8 = 28
12 - 5 = 7
So we get: [tex]\frac{28}{7}[/tex]
Now that we've found the value of the slope, we can put it into the equation:
y = [tex]\frac{28}{7}[/tex]x + b
To find the value of b, we can input the values of one of the given points into the equation and solve for b. Let's use (5,8):
Input the values of x and y into the equation: 8 = [tex]\frac{28}{7}[/tex](5) + b
Multiple [tex]\frac{28}{7}[/tex] by 5: 8 = [tex]\frac{140}{7}[/tex] + b
Divide 140 by 7: 8 = 20 + b
Subtract 20 from both sides of the equation to isolate b:
8 - 20 = 20 - 20 + b
-12 = b
The y-intercept is (0, -12).
What is 400,000 in scientific notation?
O A) 40 x 104
OB) 400 x 103
OC) 4 x 106
OD) 4 x 105
Answer:
4 x 10⁵
so that i think will be OD)
if the cost of 8 mobile set is rs 40,000.how many mobile sets can be purchased for Rs 100,000
Answer:
20 mobile sets.
Step-by-step explanation:
Every mobile set costs:
40000 / 8
= 5000 Rs.
Therefore, for 100,000 Rs, the number of mobile sets that can be purchased is:
100,000 / 5000
= 20 mobile sets.
Hope this helped!
A cuboid with a volume of 925cm^3 has dimensions.
4cm, (x + 1) cm and (x + 11) cm.
Show clearly that x^2 + 12x - 220 = 0
Solve the equation by factorising, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.
Answer:
Step-by-step explanation:
Volume of the cuboid = Length * Width * Height
Given
Length = 4cm
Width = (x+1)cm
Height = (x-11)cm
Volume of the cuboid = 4(x+1)(x+11)
Volume of the cuboid = 4(x^2+11x+x+11)
Volume of the cuboid = 4(x^2+12x+11)
Volume of the cuboid = 4x*2+48x+44
925 = 4x*2+48x+44
4x*2+48x+44-925 = 0
4x*2+48x-881 = 0
Divide through by 4
x^2 + 12x - 220.25 = 0
Factorize using the general formula;
x = -12±√12²-4(-220.25)/2
x = -12±√144+881/2
x = -12±√1025/2
x = -12±32/2
x = 12+32/2
x = 20/2
x = 10
Hence the dimension of the cuboid is 4cm, (10+1)cm and (10+11)cm
Dimension is 4cm by 11cm by 21cm
A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $1$ unit to the right, but, from any positive position on the line, she randomly moves left or right $1$ unit with equal probability. What is the expected number of times the mosquito will visit $0$ before the first time she visits $4$?
The expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
Given that repeatedly throwing a fair tetrahedral die, trying to get a 4 (success) before getting a number from 1 to 3 (failure), which follows a geometric distribution.
To find the expected number of visits to 0 before reaching 4, analyze two cases:
success (reaching 4 before 0) and failure (reaching 0 before 4).By the given data, the probabilities of two cases are:
P(success) p = 1/4,
P(failure)=3/4.
The expected count of failures, X, can be found in terms of success probability p as
[tex]E[X]=\sum_{x=0}^{+\infty}[x(1-p)^xp][/tex]
On substituting p = 1/4 gives:
[tex]E(X) = 0(1/4)+1(3/4)(1/4)+2(3/4)^2(1/4)+3(3/4)^3(1/4)+.........[/tex]
On taking (1/4) gives
[tex]E(X) = 1/4[3/4+(3/4)^2+(3/4)^3+......+\infty]----(1)[/tex]
Consider [tex]3/4+(3/4)^2+(3/4)^3+......+\infty[/tex]
This forms a geometric series tends to infinity and the sum is given by :
[tex]S_\infty = a/(1-r)[/tex]
Here: a= 3/4
r = 3/4
Plugging these values into formula gives:
[tex]3/4+(3/4)^2+(3/4)^3+......+\infty = S_\infty[/tex]
[tex]S_\infty= 3/4/(1-3/4)[/tex]
On subtracting the denominator gives:
= 3/4/(1/4)
On taking reciprocal gives:
= 3/4 * 4
On simplifying gives:
= 3
Substituting these value into given equation 1 gives:
E(X) = 1/4*[3]
On multiplying gives:
E(X) = 3/4.
Therefore, the expected number of times the mosquito will visit 0 before the first time she visits 4 is 3/4 by using concept of probability and geometric series.
Learn more probability about here:
https://brainly.com/question/23846068
#SPJ4
Simplify 45 / 3 + 2 * 8 - 12 + 42
Answer:
61
Step-by-step explanation:
Write 0.272727272727273 as a fraction in simplest form
Answer:
27/100?
Step-by-step explanation:
Is the following relation a function, yes or no?
{(-3,4),(3,1),(5,7), (8,9), (10, 12)}
yes
no
The function rule is that each input (x value in (x,y)) should only equal to one output and one output (y value) can have more than one input.
✯the following is a function, so yes.
Answer:
yes
Step-by-step explanation:
Please help me hahahhahahhahahhhhhhshshs can
Answer:
The slope of this line is -2/3x.
Step-by-step explanation:
The slope can be found by getting x1 and y1 (0,3) and x2 and y2 (3,1). Once you have these you would do y2 - y1 / x2 - x1.
And the equation then is
1 - 3 / 3 - 0. After simplifying this you get -2/3.
A small town has two local high schools. High School A currently has 850 students and is projected to grow by 35 students each year. High School B currently has 700 students and is projected to grow by 60 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine after how many years, t,t, the number of students in both high schools would be the same.
An equation for each situation, in terms of t, is y = 850e^35t and
y = 700e^70t
The required equation will be in the form y = Ae^kt
where:
k is the growth constantA represents the number of students in High School A in t years.B represents the number of students in High School B after t years.If High School A currently has 850 students and is projected to grow by 35 students each year, hence;
A = 850k = 35 (growth factor)Substituting into the formula, we will have:
y = 850e^35t
If High School B currently has 700 students and is projected to grow by 60 students each year, hence;
A = 700k = 60 (growth factor)Substituting into the formula, we will have:
y = 700e^70t
An equation for each situation, in terms of t, is y = 850e^35t and
y = 700e^70t
Learn more on exponential function here: https://brainly.com/question/12940982
What expression represents the decimal 72.603
Answer: 7 x 10 + 2 x 1 + 6 x 1/10+ 3 x 1/1000
Step-by-step explanation: just had this question on the test
D=
R=
Function?
Find the domain and range of each relation. Then, determine if the relation is a function.
Answer:
Step-by-step explanation:
D = { - 4 , 0 , 2 , 7 }
R = { - 8 , - 1 , 3 }
Yes the relation is a function.
In triangleABC, a = 1.4 cm, b = 1.5 cm and c=1.5 cm. Find the measure of angleA to the nearest 10th of a degree.
Answer:55.6
Step-by-step explanation:
Answer:
55.6
Step-by-step explanation:
Find the percent of decrease from 27 to 18.
PLEASE HELP
-33.33333333333333 %A change from 27 to 18 represents a negative change (decrease) of -33.33333333333333%
Use the formula found below on this webpage to find the percent changeby replacing the given values:Percent change = New - Old|Old| 100%Percent change = 18 - 27|27| x 100 = -927 x 100 = -33.33333333333333decrease)
Where: 27 is the old value and 18 is the new value. In this case we have a negative change (decrease) of -33.33333333333333 percent because the new value is smaller than the old value.
The Answer is: -33.33333333333333% or 33.3Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
what is 20 percent of 140
Answer:
28
gotta divide
Step-by-step explanation:
What is the slope of the line that passes through the points (7,−6) and (4, -6) ? Write your answer in simplest form.
the answer is m = 0. i hope this helps-
If using the method of completing the square to solve the quadratic equation x squared -20x+24=0, which number would have to be added to “complete the square”
Oksuru k diyaf ramincok ani kasilm asiyla olusan bir refle kstir.
What's 6+2x^2 in factored form?
Answer:
2 ( x^2 + 3 )
Step-by-step explanation:
what is the equation of a line in slope intercept form that passes through points (4,3) and (1,-6)
pls help quick : )
Answer:
y = 3x-9give me brainliest please
Step-by-step explanation:
To find the equation of a line that passes through two points, use point-slope form.
[tex]y-y_{1} = m(x-x_{1})[/tex] ...
where [tex](x_{1}, y_{1})[/tex] is the first point, and [tex]m[/tex] is the slope.
Start with the slope (m). To find the slope, you find the change in y over change in x, or [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] = [tex]\frac{-6-3}{1-4}[/tex] = [tex]\frac{-9}{-3}[/tex] = 3
[tex]m=3[/tex]
Then, put the values into point-slope equation.
[tex]y-y_{1} = m(x-x_{1})[/tex] = [tex]y-3 = 3(x-4)[/tex] = [tex]y-3 = 3x-12[/tex] = [tex]y = 3x-9[/tex]
Is the relation in the mapping below a function? Explain.
Domain
1,3,5,7
Range
2,4,6
Answer: No
Step-by-step explanation:
The range and the Domain aren’t equal
7 + 5x = 2x + 25
step by step pls:(
Answer:
x = 6
Step-by-step explanation:
7 + 5x = 2x + 25
first subtract 7 from both sides to isolate 5x on the left
5x = 2x + 18
then subtract 2x from both sides to isolate all of the x terms to one side
3x = 18
then divide 18 by 3 to solve for x
x = 6
hope this helped!! :)
Answer:
i got you, i wrote it out and all gimme brilliantness
Step-by-step explanation:
Solve the equation. 4d + 2d – 4d + 4 = 3d
Answer:
d = 4
Step-by-step explanation:
1. Simplify both sides of this equation, to start off with.[tex]4d+2d−4d+4=3d
[tex]4d+2d−4d+4=3d[/tex]
[tex]4d+2d+−4d+4=3d[/tex]
2. Combine all the like terms you see here.(4d+2d+−4d)+(4)=
d+4=3d[/tex]
(2d+4=3d)[/tex]
3. Subtract 3d from both sides of this equation.[tex]2d+4−3d=3d−3d[/tex]
[tex] - d + 4 = 0[/tex]
4. Subtract 4 from each sides of the equation.[tex]−d+4−4=0−4[/tex]
[tex] - d = - 4 [/tex]
5. Divide both of the sides by -1.
[tex] \frac{ - d}{ - 1} = \frac{ - 4}{ - 1} [/tex]
Therefore, the answer is d = 4.
i'm doing a math worksheet and its asking me to describe the stair of a slope. what does that mean??
Answer:
i believe its the rise and the run of the slope.
Step-by-step explanation:
i believe its something similar to this photo
7a(3b - 2c + 4)
Help?
Answer:
21ab-14ac+28aStep-by-step explanation:
[tex]7a(3b - 2c + 4)\\\\\mathrm{Distribute\:parentheses}\\\\=7a\times \:3b+7a\left(-2c\right)+7a\times\:4\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=7\times\:3ab-7\times\:2ac+7\times\:4a\\\\Simplify\\\\21ab-14ac+28a[/tex]
List some of the valid reasons that can be used in a proof:
Answer:
Experiment results, and more results!
They help a LOT!
Step-by-step explanation:
Which equation is true for the value b= 10?
O A.
2(b + 4) = 16
O B.
2(b + 2) = 40
O C.
3(b- 2) = 24
OD
2(8 + b) = 42
OE.
3(b - 4) = 20
Answer: C. 3(b-2)=24
Step-by-step explanation: See since b equals ten and by the rules of P.E.M.D.A.S the parenthesis/brackets comes first so 10-2 equals 8 and three times 8 is 24 therefore the answer is 24
Write the equation in slope-intercept form 2x−8y=24
Answer:
y=1/4x - 3
Step-by-step explanation:
Answer:
[tex]y=\frac{1}{4}x-3[/tex]
Step-by-step explanation:
IS THIS A GOOD SONG
Life Is Fun
The odd1sout
Ahhh! Such a beautiful day, uh (Yeah)
The sun's shining in a beautiful way, uh (Whoo)
Gonna take a shower, brush my teeth and
Life is ultimately meaningless
Uhh... Uhh...
But I'll get out of the house
Get on the road, top down, hands out
Put on my favorite song and nod to the rhythm
The planet's being destroyed by your carbon emissions
But I- I-, I'll head to class
Try my best on every test 'til I pass
And my grades are screaming in my face, hey
98 percent of what you learn is a waste
I get to hang out with all my friends (Yeah)
My friends are the friendliest friends
Can't think of a better way to spend my time
Your brain is flawed, and all your friends will die
Never mind!
I'm alive in the greatest nation!
So proud of the exploitation of natives
This graceful bird means freedom for all
Tell that to the slaves, and bald eagles aren't bald
I can live in the moment, milk every second
At any time you could get clinical depression
But I'll just be happy, no matter what's in store
It's quite genetic, and we have no cure
Uh, at least
We are young
Not for long
Life is fun
It only goes downhill
We gotta make the most of it! Make the most of it!
Or you'll regret it
We are young
For now
Life is fun
For some people
We gotta make the most of it! Make the most of it!
Good luck
Woo! I got a brand new job today! (Yeah)
Doin stuff that'll help the economy (Uh)
I'll save money and buy things at the store
Banks can crash and capitalism is flawed
And it's all because of my hard work
And the thousand advantages you lucked into at birth
I put a lotta effort in my resume!
Good thing you don't have a black person's name
I'm proud to be a functioning member of society
Finally, I can be the citizen I dream to be
Part of the community, contribute with my tax
What could possibly stop me?
The shrinking middle class
I've at least got a nice stable job
Until it's outsourced to China or replaced by a robot
OH GOD! Well, then I could relax a bit
You'll be empty with nothing to distract from it
But man, I'm a passionate graduate
I can be different, and I have a career paths to pick from
I could be a rapper or an animator if I'm lucky
Neither of those will make you happy, trust me
I'm able to choose what I pursue (Yeah)
You're a slave to people born richer than you
Then screw it, I'll keep going in
Then I'll party on the weekend and sing, no, oh, oh oh
Thanks to autotune
We are young
Not for long
Life is fun
It only goes downhill
We gotta make the most of it! Make the most of it!
Or you'll regret it
We are young
We still die
Life is fun
Until you die
We gotta make the most of it! Make the most of it
Because you'll die
Life is a wonder
You'll never know the answer
Nature is a miracle
Natural disasters
It's good to be alive
You could wake up with cancer
But I'm healthy
Healthy people still get cancer
I love this show
It's the last episode
The sun is shining
It's going to explode
Every species is beautiful and unique, though
Children have malaria thanks to mosquitoes
I met a cute girl with a ponytail
Statistically that relationship is going to fail
I have a wonderful family, it's like no other
You're not special, and one day you'll bury your mother
No matter what, I can find a home!
We, Will All, Die, Alone
There's amazing potential in every human on earth
There's no escaping the heat death of the universe
I don't have to live life based on negative parts
No matter how bad they are, they're just thoughts
Yeah, that's fair
Wait, really?
Yeah that seems reasonable
Wait, wait, wait, wait but you were just telling me to-
Whatever man, I dunno, live your life how you want
I'm not forcing you to do anything, I'm just saying
Oh...
Well in that case...
We are young!
Life is fun!
We gotta make the most of it! Make the most of it!
We are young!
Life is fun!
We gotta make the most of it! Make the most of it!
Enjoy it while it lasts
Answer:
i forgot about it but ye its cool
Step-by-step explanation:
ooh I love life is fun it one of a good songs
Byron's MP3 player holds 75 songs. He has space for 26 more songs. Write an equation to find how many songs are already on Byron's MP3 player.A.) 75 + s = 26 B.)75/s = 26 C.) 26s = 75 D.)s + 26 = 75
Answer:
D
Step-by-step explanation:
let the number of songs Byron have be s songs.
s + 26 = 75
Answer:
D
Step-by-step explanation:
s= number of songs played.
s+26=75
s-26=75-26
s=49
At Gary's car wash 49 cars can be washed in 4 hours. At this rate, how many cars can be washed in 8 hours?
Answer:
98
Step-by-step explanation:
49 + 49 = 98