Using the following graph, determine the equation of the graph in slope intercept form.
Answers
The slope is 2 because you go up 2 and by the right by one. 2 divided by 1 is 2.
The y intercept is 9.
the equation of the graph in slope intercept form.
[tex]y=2x+9[/tex]
Given :
We are given with the graph of a line
Slope intercept form of a line is y=mx+b
where m is the slope and b is the y intercept .
To find out slope m we use slope formula
Lets pick any two points from the graph
[tex](0,9) and (1,11)[/tex]
Apply slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{11-9}{1-0} =2[/tex]
Slope is 2
Y intercept is the point where the graph crosses y axis
Graph crosses y axis at (0,9)
y intercept b=9
Now we frame equation of line using slope and y intercept
[tex]y=mx+b\\y=2x+9[/tex]
Learn more : brainly.com/question/16934180
Related Questions
What is the solution to the system of linear equations represented by the table?
Everything is in the picture
Answers
Answer:
B. (-3, -4)
Step-by-step explanation:
The solution to the system of the linear equations represented by the table is the coordinate pair of the point at which both the value of y1 and y2 are the same for a given x-value.
Thus, when x = -3, y1 and y2 are both -4.
Therefore, it is safe to conclude that the solution to the system of equations is:
(-3, -4).
4) Sherry is doing a class project and wants to see whether people in her community are more likely to consider themselves introverts' or 'extroverts. She gets a few friends together with clipboard surveys and they go to a mall entrance where they ask people to participate in a brief survey. They find that 86% of the respondents consider themselves extroverts. This result is
Answers
Answer:
d
Step-by-step explanation:
Alguien me ayuda con estos problemas?
Answers
Answer:
euifgesr ourugyfru fe
Step-by-step explanation:
Answer:
euifgesr ourugyfru fe
Step-by-step explanation:
thrice a number added to 21 equals 300. what is the number?
Answers
Step-by-step explanation:
21+3x=300
3x=300-21
3x=279
x=279/3
x=93
Katie draws marbles from a bag. She drew 6 red marbles out of 20 marbles she picked. If she were to draw 10 more marbles, how many of those 10 can she predict to be red?
2
3
4
5
Answers
Answer:
4
Step-by-step explanation:
If red marbles are 10 then answer is 4
PLEASE HELP THIS IS WORTH MY WHOLE GRADE ITS DUE IN 1HR PLEASE
Answers
Don't we need the full question?
a factor that is common to all terms of an expression or to two or more expressions
Answers
Answer:
el1
elnumero e s 1I need this question
Answers
Hope it’s right
Best luck with your studying
which expression is equivalent to 3(y-6)? (A.3y-6) (B.2y-18+y) (C.5y+18-2y) (D.2y-18-5y
Answers
Answer:
Step-by-step explanation:
3(y-6)=3y-18
which can be expressed as
2y-18+y
The measures of the angles of a triangle are shown in the figure below. Solve
for x.
Answers
Answer:
x=11
Step-by-step explanation:
180-109-43=28
4x-16=28
4x=44
x=11
Simplify: (3y^4 - 2y^2 + 3y - 2) - (-4y^4 - 2y^2+ 3)
Answers
Answer:
7y^4+3y-5
Step-by-step explanation:
The Dial and the Lewis families when to Taco Box for dinner. The Dials bought 3
burrito meals and 4 taco meals for $48. The Lewis' bought 6 burrito meals and 2
taco meals for $60. How much does a burrito meal cost? How much does a taco
meal cost?
Answers
Answer:
A burrito costs $8, while a taco costs $6.
Step-by-step explanation:
Given that the Dial and the Lewis families when to Taco Box for dinner, and the Dials bought 3 burrito meals and 4 taco meals for $ 48, while the Lewis' bought 6 burrito meals and 2 taco meals for $ 60, to determine how much does a burrito meal cost and how much does a taco meal cost make the following calculations:
3B + 4T = 48
3B = 48 - 4T
6B + 2T = 60
6B = 60 - 2T
3B = 30 - 1T
30 - 1T = 48 - 4T
30 = 48 - 4T + 1T
30 - 48 = -3T
-18 = -3T
-6 = -T
6 = T
3B + 4x6 = 48
3B + 24 = 48
3B = 24
B = 24/8
B = 8
6x8 + 2x6 = 60
48 + 12 = 60
60 = 60
Thus, a burrito costs $ 8, while a taco costs $ 6.
Write an exponential function to describe the given sequence of numbers,
7. 28. 112, 448, 1792)
Answers
Answer:
y=7*4^(x-1)
Step-by-step explanation:
y=a*b^(x-1)
x=1, 7=a
28=7b
b=4
y=7*4^(x-1)
plzz help asap.......
Answers
Answer:
29.78 feet
Step-by-step explanation:
CAN YOU HELP ME PLEASEEEE ITS GEOMETRY!!! THANK YOUUU
Answers
Answer:
117
Step-by-step explanation:
The angles line up~ P is the same as angel I.
write a equation of the line that passes through each pair of points (1,0) (5,-1)
Answers
Answer:
Slope : -1/4
Equation: y = -x + 1/4
Step-by-step explanation:
You start by finding the slope using the slope formula. Then after finding the slope you use one of the pairs to substitute in the equation y = mx+b then after doing that you solve for your b since it will be the only missing variable. Then you have your equation.
is this graph a negative association or positive association
Answers
Answer:
This graph is positive
Step-by-step explanation:
For each line below, determine the slope, the y-intercept, and the equation of the line. Help me please
Answers
Answer:
Red
Slope: 3
Y-int: 4
Equation: y = 3x + 4
Blue
Slope: -1/3
Y-int: -4
Equation: y = -1/3x - 4
Step-by-step explanation:
Y-intercept= 4
Slope= 3x
Equation= m=3x+4
Blue:
Y-intercept= -4
Slope= -1/3x
Equation= m=-1/3x-4
Hope this is right and will help.
Rewrite the function by completing the square.
f(x) = x^2 – 10x—96
Answers
Answer:
(x - 5)² -121 = 0
Step-by-step explanation:
if you need to find the roots you can take the square root of each side:
(x-5)² = 121
(x-5)² = 121
square root of (x-5)² is x-5
square root of 121 is ±11
first root: x-5 = 11
x = 16
second root: x-5 = -11
x = -6
Answer:
[tex]f(x) = (x - 5)^{2} - 121[/tex].
Step-by-step explanation:
The goal is to rewrite [tex]f(x)[/tex] in the vertex form [tex]a\, (x - h)^{2} + k[/tex] by completing the square (where [tex]a[/tex], [tex]h[/tex], and [tex]k[/tex] are constants.)
Expand the vertex form expression:
[tex]\begin{aligned}& a\, (x - h)^{2} + k\\ &= a\, (x - h)\, (x - h) + k \\ &= a\, \left(x^2 - h\, x - h\, x + h^2\right) + k \\ &= a\, \left(x^2 - 2\, h\, x + h^2\right) + k\\ &= a\, x^2 - 2\, a\, h\, x + \left(a\, h^2 + k\right) \end{aligned}[/tex].
Compare this expression to [tex]f(x) = x^2 - 10\, x - 96[/tex] and solve for the constants [tex]a[/tex], [tex]h[/tex], and [tex]k[/tex]. Make sure that the coefficient of each term matches:
Coefficient for the [tex]x^2[/tex] term: [tex]a[/tex] in the expanded expression and [tex]1[/tex] in the expression for [tex]f(x)[/tex]. Hence, [tex]a = 1[/tex].Coefficient for the [tex]x[/tex] term: [tex](-2\, a\, h)[/tex] in the expanded expression and [tex](-10)[/tex] in the expression for [tex]f(x)[/tex]. Hence, [tex]-2\, a\, h = -10[/tex].Coefficient for the constant term: [tex]\left(a\, h^2 + k\right)[/tex] in the expanded expression and [tex](-96)[/tex] in the expression for [tex]f(x)[/tex]. Hence, [tex]a\, h^{2} + k = -96[/tex].Substitute [tex]a = 1[/tex] into the second equation, [tex]-2\, a\, h = -10[/tex], and solve for [tex]h[/tex].
[tex]-2 \, h = -10[/tex].
[tex]h = 5[/tex].
Substitute both [tex]a = 1[/tex] and [tex]h = 5[/tex] into the third equation, [tex]a\, h^{2} + k = -96[/tex], and solve for [tex]k[/tex].
[tex]5^2 + k = -96[/tex].
[tex]k = -121[/tex].
Therefore, [tex]a\, (x - h)^{2} + k[/tex] becomes [tex](x - 5)^2 + (-121)[/tex].
Hence, the vertex form of the parabola [tex]f(x)[/tex] would be:
[tex]f(x) = (x - 5)^{2} - 121[/tex].
Extra Example 3: Hazel has $23.28 in her purse. She has $5.60 more than Nixon.
Paul says that Nixon has $28.88. Yolanda says that Nixon has $17.68. Who is
correct?
Answers
Answer:
Yolanda is correct.
Step-by-step explanation:
If Hazel has $23.28 and $5.60 more than Nixon, then Nixon will have $17.68 because 23.28-5.60 is 17.68.
The only way Paul would be right is if Nixon has $5.60 more than Hazel because 23.28+5.60 is 28.88.
Solve the system of equations:
4x - 3=-2x + 9
Answers
Answer:
x=2
Step-by-step explanation:
Step 1: Add 2x to both sides.
4x−3+2x=−2x+9+2x
6x−3=9
Step 2: Add 3 to both sides.
6x−3+3=9+3
6x=12
Step 3: Divide both sides by 6.
6x = 12
6 6
x=2
Answer:
42 as i dont know so ask jeff ma boy from da sewers
Step-by-step explanation:
Find the area of the figure.
4 ft
8 ft
5 ft
8 ft
ft?
Answers
Answer: 320 ft
Step-by-step explanation:
The total cost of a tablet device comprises the cost of material, labour and overheads in the ratio 3:4:1. The cost of material is $315. What is the total cost of the tablet?
Answers
Answer:
$840
Step-by-step explanation:
Given data
The cost of material is $315
The ratio is
3:4:1
The total number of part is
3+4+1= 8
Let us apply the part to all method
let the total cost be x
hence
3/8=315/x
cross multiply
3x= 8*315
3x= 2520
divide both sides by 3
x= 2520/3
x= $840
Hence the total money is $840
Solve following problems
(2x + 5)/(5x + 2)
and
(4 - 3x) / ( 3x - 4)
Answers
Answer:
(4 - 3x) / ( 3x - 4) = -1
(2x + 5)/(5x + 2) = 0
Step-by-step explanation:
Parker went shopping for a new pair of sneakers. Sales tax where he lives is 5%. The price of the pair of sneakers is $23. Find the total price including tax. Round to the nearest cent.
Answers
Answer:
c
Step-by-step explanation:
cc
What is the range of the function shown on the graph above
Answers
Answer:
d
Step-by-step explanation:
there isnt an arrow saying it keeps going past 10
Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a radius of 7 inches.
Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?
Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?
Show all work.
Answers
Answer:
Let r represent the radius of the smaller circle and R the radius of the larger circle.
Apply ratios: the radius of smaller circle to radius of larger circle, i.e.
r: R = 3 : 7.
I complete rotation = 360 degrees.
Part 1:
For one complete rotation of the smaller circle, the larger circle is rotated through: (3/7)*(360) = 154.3 degrees
Part 2:
For one complete rotation of the larger circle, the larger circle is rotated through: (7/3)*(360) = 840.0 degrees
This is equivalent to (840/360) = 2.3 rotations
Alternatively, use the ratios:
The number of rotations = R/r = 7/3 = 2.3 rotations
BRAINLIEST PLEASE??
Step-by-step explanation:
Answer:
Step-by-step explanation:
for smaller gear circumference=2π×2=4π inches
for larger gear
l=4π
θ=l/r
θ=(4 ×180)/7=720/7=102 .9°
for larger gear circumference=2π×7=14π
number of rotations=(14π)/4π=7/2=3.5 rotations or 3 1/2 rotations.
If you have $10 with which to buy some pens for $1.75 each, how many can you buy?
Answers
10/1.75 = 5.714, but you can’t buy 7 tenths of a pen. So you have to round down to 5.
The radius of a circle is 1 mile. what is the circle's area?
Answers
Step-by-step explanation:
A≈3.14mi²
Jim estimated that it would take him 45 minutes
to complete the homework. If ACTUALLY took
him 25 minutes. What was his percent error?
Answers
Percent error = | Estimate - Actual | / Actual = |45-25| / 25 = 20/25 = 0.80