A functionf(x) is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box. F(x)=.
Answers
Linear functions are used to represented straight lines.
The linear function is [tex]y = -\frac 12x + 1[/tex]
The points on the graph are: (2,0) and (0,1)
Start by calculating the slope (m) using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
Substitute values for x and y
[tex]m = \frac{1 - 0}{ 0 -2}[/tex]
[tex]m = \frac{1 }{ -2}[/tex]
Rewrite as:
[tex]m = -\frac{1 }{2}[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -\frac 12(x -0) + 1[/tex]
[tex]y = -\frac 12(x) + 1[/tex]
Open bracket
[tex]y = -\frac 12x + 1[/tex]
Hence, the linear function is [tex]y = -\frac 12x + 1[/tex]
Read more about linear functions at:
https://brainly.com/question/15602982
Related Questions
Two planes leave Berlin. One plane flies 939 km to London. The other plane flies to 882 km to Paris. The angle
between the flights is 18º.What is the distance between London and Paris?
London
939 km
18
Berlin
882 km
Paris
Answers
The distance between London and Paris is 290.38km
To get the distance between London and Paris, we will see the cosine formula as shown:
c² = a² + b² - 2ab cosФ
Given the following parameters:
a = 939kmb = 882 kmФ = 18⁰Substitute into the formula to have:
c² = a² + b² - 2ab cosФ
c² = 939² + 882² - 2(939)(882) cos18
c² = 1,659,645 - 1575326.21
c² = 84,318.79
c = 290.38km
Hence the distance between London and Paris is 290.38km
Learn more on cosine rule here; https://brainly.com/question/7872492
please help me guys .if 5+5=10an 10+10=20 whats does 20+20 equal
Answers
Answer:
20 + 20 = 40
The quadrilaterals JKLM and PQRS are similar find the length x of PQ
Answers
answer = 2.5 please give brainliest if thats okay lol
Answer:
side MJ was 4 then it became 2 at side SP
side ML was 3 then it became 1.5 at side SR
side LK was 3 then it became 1.5 at side RQ
so we will divide 5 by 2 / 5÷2 = 2.5
PLS ANSWER AND I WILL MARK AS BRAINLIST
Answers
Answer:
the correct answer is -8
Step-by-step explanation:
Raise -2 to the power of 3.
Answer:
Step-by-step explanation:
(-2)*(-2)*(-2) = -8
2x+x+x+2y times 3y times y
Answers
Answer:
4x+ 6y^2
Step-by-step explanation:
How do I solve this triangle?
Answers
Answer:
check the length and the angles and check the height of it
find the quotient 8^6/8^2
Answers
Answer:
4096
Step-by-step explanation:
The lines graphed below are parallel. The slope of the red line is 3. What is the
slope of the green line?
5
-5
5
O A. - 1 / 1
O B. 3
C.-3
Answers
Answer:
The correct answare should be slope of 3.
Step-by-step explanation:
Well if the red line has the slope of 3 and the green and the red are parrallel than the slope of green should also be 3.
Help! 100 points! I'm also giving brainiest to whoever gives a correct answer to the following questions or nonetheless a solid explanation behind their answer. Thank you and comment for any concerns or issues!
Answers
Step-by-step explanation:
1a)
it means that after 14 hours into the experiment the temperature of the liquid reaches exactly the temperature of the surrounding room at that moment : 10° F.
1b)
it is the point (14, 10), and I know, because both lines touch or cross each other at that point, as due to the equality relation both curves contain this point (meaning they have the same result value 10 for the same function argument 14).
4a)
because the slope of the line segment at the end is larger (making the line go up at a much steeper angle) than fire the line segment at the beginning.
4b)
it looks like the experiment started at hour 0 with the liquid being at around -5° F.
and it reached +10° F after about 10 hours.
the x (time) difference is +10 (from 0 to 10).
the y (temperature) difference is +15 (from -5 to 10).
so, the slope at the beginning of the excitement is about +15/+10 = 3/2.
and at the end of the experiment it looks like the last line segment starts at about 20 hours with the liquid at about -3° F. and it ends at hour 30 and at 30°F.
the x (time) difference is +10 (from 20 to 30).
the y (temperature) difference is +33 (from -3 to 30).
so, the slope at the end of the excitement is about +33/+10, which is much bigger than 15/10 at the beginning.
pls answer quickly
This line chart displays marks scored by Carol out of 100 in each subject. Which statement can be concluded from the chart?
A) history is her favorite subject
B) carol scored more in physics than English
C) Carol got the least marks in history
D) Carol scored the highest in math
Answers
Answer:
D) Carol scored the highest in math.
Step-by-step explanation:
Look at the chart and check each question.
A) history is her favorite subject - Wrong (This is about Marks Obtained, Not Favorite Subjects!)
B) carol scored more in physics than English - Wrong (In Physics, the score is 55 while in English, it is 65!)
C) Carol got the least marks in history - Wrong (History is at 48 while Biology is at 35!)
D) Carol scored the highest in math - Correct (The highest score is 80 which is Math!)
please help asap for brainlist
Answers
Answer:
3rd one i think so or it will be last question
which grade question is this
Convert 324ten to base two
Answers
Converted using rapidtables.
How do you prove perpendicular lines are congruent?
Answers
Answer:
step below
Step-by-step explanation:
This is the graph it should be, I suppose you know how to solve it.
BD ⊥ AC CE ⊥ AB
prove BD = CE
hint: Δ BEC ≅ Δ CDB
If l || m, find the value of x
Answers
Answer:
x = 27°
Step-by-step explanation:
l ║ m Given
(x + 72) + (3x) = 180° If parallel line then same-side angles = 180°
4x + 72° = 180°
4x = 180° - 72°
4x = 108°
x = 108°/4
x = 27°
What are the zeros of this function?
A. x=0 and x=-6
B. x=0 and x=5
C. x=0 and x=-5
D. x=2 and x=-6
Answers
Answer:
c i dont know
Step-by-step explanation:
Answer:
Definitely not C
Step-by-step explanation:
Which is greater -1 or 0
Answers
Answer:
0
Step-by-step explanation:
Answer:
The answer would be 0.
Step-by-step explanation:
Any negative number is less than 0 and any positive number is greater than 0.
PLEASE CAN SOMEONE HELP ME
Answers
Answer:
u=ABCDEF
Step-by-step explanation:
solve one step equation
5x = -15
Answers
Answer:
x=-3
Step-by-step explanation:
This is a one step solution all you do is divide 5 into -15
-15/5 = -3
so -3 = x
Plz Help!! 15 POINTS!
MY MATH EXAM IS TOMORROW AND I NEED HELP!
Jules has a watch pedometer which counts how many steps (S) he walks in a day. He has measured his step length as 0.7m.
Draw a conversion graph of the distance walked (L) against S to convert up to 10000 steps into metres.
Answers
Answer:
see attached
Step-by-step explanation:
Each step is 0.7 m, so 10,000 steps will be 0.7(10,000 m) = 7,000 m. Of course 0 steps is 0 meters, so the graph is a straight line with a slope of 0.7.
Solve each equation.
2y=7(y−2)+4
y =
4x=6−2(2−x)
x =
Answers
Answer:
y=2 and x=1
Step-by-step explanation:
2y=7y-14+4
2y-7y=-14+4
-5y=-10/-5
y=2
4x=6-4+2x
4x-2x=6-4
2x=2/2
x=1
Find the value of x. 130 Х
Answers
Answer:
60
Step-by-step explanation:
edge
(WILL GIVE BRAINLIEST)
The points (2, -4), (x,y), A and B all lie on the line in the applet below. Find an equation relating x and y
Answers
Answer:
y=3/4x-5.5 this should be your answer
Step-by-step explanation:
sorry of im wrong
have a wonderfull day!
Complete the table by cubing each positive x-value.
Answers
FOOTBALL Tyrell plays running back
and kicks field goals for his team. He
scores 6 points for a touchdown and
3 points for a field goal. In his last
game, he scored 24 points. This can be
represented by the function
6x + 3y = 24. Find the x- and
y-intercepts. Interpret the x- and
y-intercepts.
=
Answers
Answer:
x-intercept(s):
4,0
y-intercept(s):
0,8
Step-by-step explanation:
Find the side lengths in the following triangle.
Answers
Answer:
I'm not too sure which one you need, so choose what answer needs to go in the box!
JL= 44.5
JK=23.3
KL=23.3
Step-by-step explanation:
Since JK and KL are equal to eachother, we have to find the missing variable through them. You want to choose one side to have the variable number and the other side for the normal numbers. I can't really explain this next bit, so I'll show the math below:
V N
4x - 10.7 = 2x + 6.3
+10.7. +10.7
_________________
4x = 2x + 17
-2x -2x
2x = 17
So, once there is only one variable number and one normal number left, what do you do? You divide the variable by the number it's worth and carry the division to the normal number.
2x = 17
÷2. ÷2
_______
x = 8.5
So, 8.5 is our number we need. We then just insert it into all the equations to get the numbers.
4 × 8.5 = 34
34 - 10.7 = 23.3
Since JK and KL are equal, they are both 23.3.
5 × 8.5= 42.5
42.5 + 2 = 44.5
JL=44.5
The measure is the angles of a triangle are shown in the figure below. Solve for x
Answers
Answer:
30+48+x=180
x=102 ..........
..................
PLEASE HELPPPP! ANYTHING U CAN ANSWER WOULD BE SOOO GREAT :) (AND NO ITS NOT A VIRUS)
Answers
Answer:
but what if it is a virus?
Step-by-step explanation:
Answer:
isnt oit iron pick
Step-by-step explanation:
please explain to me how to solve for x and y
Answers
Answer:
(x, y) = (6, 2)
Step-by-step explanation:
You solve for x and y by writing equations that reflect the relation applicable to the given geometry.
The diagonals of a parallelogram bisect each other. That means the halves of each diagonal are equal.
2x -4 = 4y . . . . . . down diagonal
x +4 = 7y -4 . . . . . up diagonal
__
We can subtract the first equation from 2 times the second equation to eliminate the x-variable.
2(x +4) -(2x -4) = 2(7y -4) -(4y)
2x +8 -2x +4 = 14y -8 -4y . . . . . . eliminate parentheses
12 = 10y -8 . . . . . . . . . . . . . . . . . collect terms
20 = 10y . . . . . . . . . . . . . . . . . . add 8
2 = y . . . . . . . . . . . . . . . . . . . . divide by 10
Substituting into the second equation gives ...
x +4 = 7(2) -4
x = 6 . . . . . . . . . . . . subtract 4
The values of x and y are (x, y) = (6, 2).
_____
The lengths of the diagonals are 20 and 16.
The circumference of a circle, C, is directly proportional to the length of its radius, r. Write down a formula,using k, connecting the circumference of the circle and the length of its radius.
Answers
The proportional relationship connecting the circumference of the circle and the length of its radius is:
[tex]C = kr[/tex]
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:[tex]y = kx[/tex]
In which k is the constant of proportionality.In this problem:
The output is the circumference of the circle.The input is the radius of the circle.Hence, the formula is:
[tex]C = kr[/tex]
You can learn more about proportional relationships at https://brainly.com/question/25815502
Which is NOT a line of symmetry?
1
2
3
4
5
Answers
Answer:
where's the line?
Step-by-step explanation:
add a line next time
