Answers
Given the points (0, -1) and (6, 1), we need the following information to solve for the equation of the line:
We need the slope and the y-intercept.
Let (x1, y1) = (0, -1)
(x2, y2) = (6, 1)
Substitute these values into the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{1 - (-1)}{6 - 0} = \frac{1 + 1}{6} = \frac{2}{6} = \frac{1}{3}[/tex]
Therefore, the slope (m) = 1/3.
Next, we need the y-intercept, (b), which is the point on the graph where it crosses the y-axis. It is also the value of the y-coordinate when its corresponding x-coordinate = 0.
Looking at one of the given points, (0, -1), this represents the y-intercept. Therefore, the y-intercept (b) = -1.
Now that we have our slope, m = 1/3, and y-intercept, b = -1, we can write our linear equation in slope-intercept form as:
y = 1/3x - 1
Please mark my answers as the Brainliest if you find this explanation helpful :)
Related Questions
1/2 tsp of salt makes 16 cookies. how many salt would you need for 55 cookies?
Answers
Answer:
Step-by-step explanation: 1/2x=16
16x4=64, Although this is not exactly 55 cookies, you can either make more or less. So you need 4 salt, to make 55.
Answer:
[tex]\frac{55}{32}[/tex] tsp
Step-by-step explanation:
To find out how much salt you would need to make 55 cookies, you need to find how much salt makes 1 cookie:
If [tex]\frac{1}{2}[/tex] tsp of salt makes 16 cookies, then ([tex]\frac{1}{2}[/tex] ÷ 16) tsp of salt will make 1 cookie.
But how much is [tex]\frac{1}{2}[/tex] ÷ 16?
To divide fractions with different denominators easily, use the SFM method:
S - Skip
F - Flip
M - Multiply
[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{16}{1}[/tex] First, Skip your focus to the 2nd number. This is what will be changed.
[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{16}[/tex] Next, Flip the numerator and denominator.
[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{16}[/tex] Finally, multiply the two numbers together.
[tex]\frac{1}{32}[/tex]
[tex]\frac{1}{32}[/tex] tsp of salt will make 1 cookie.
Now to find the amount needed for 55 cookies:
To find the amount of salt needed to make 55 cookies, multiply [tex]\frac{1}{32}[/tex] × 55.
[tex]\frac{1}{32}[/tex] × [tex]\frac{55}{1}[/tex] = [tex]\frac{55}{32}[/tex]
Because the fraction cannot be simplified further, the amount of salt that is needed to make 55 cookies is [tex]\frac{55}{32}[/tex] tsp.
9/10 - (1/8-3/10)= please help me through steps
Answers
Answer:
43/40 or 1 3/40
Step-by-step explanation:
9/10 - (1/8 - 3/10)
Remember, we have to solve what's in the parentheses first!
To find 1/8 - 3/10, we must find the least common multiple of the denominators, which is 8 and 10.
Let's list the multiples of 8 and 10
Multiples of 8: 8, 16, 24, 32, 40, 48, 56...
Multiples of 10: 10, 20, 30, 40, 50, 60...
We found a match! 40 is a multiple of both 8 and 10, so we can use that.
To make the denominator 40 for 1/8, we have to multiply both the numerator and denominator by the same number, and the denominator must equal 40 after.
So,
8 times what equals 40?
To make it easier, we can do 40 / 8, which is 5.
That means we multiply the denominator and numerator by 5, so we get 5/40 - 3/10.
If you do the same thing for 3/10, you get 12/40.
Our equation is much easier!
We can easily do 5/40 - 12/40, which is -7/40.
Now, we do 9/10 - (-7/40)
Remember, two minuses right next to each other make a plus!
Our equation is now 9/10 + 7/40.
If you do the least common multiple for 9/10, you get 36/40.
Finally, we do 36/40 + 7/40, which is 43/40.
If it's asking for a mixed number, it would be 1 3/40.
Therefore, 9/10 - (1/8 - 3/10) equals 43/40 or 1 3/40!
Hope this helped :)
By what least number should 4851 be divided to get a perfect square number ? Also find the square root of the square number so obtained ?
Answers
Answer:
The least number should 4851 be divided to get a perfect square number = 11
The square root of the obtained perfect square number is 21
Step-by-step explanation:
Given number = 4851
It can be written as
4851 = 3×1617
4851 = 3×3×539
4851 = 3×3×7×77
4851 = 3×3×7×7×11
4851 = (3×3)×(7×7)×11
It is clear that We should divide the given number by 11 then we get a perfect square number.
4851/11 = 441
441 = 21×21
=> 441 = 21²
=> √441 = √(21²)
=> √441 = 21
Answer:-The least number should 4851 be divided to get a perfect square number = 11
The square root of the obtained perfect square number is 21
Used Method :-→ Prime Factorization Method
Answer:
11 is the least number and the when you take the square root of the number you get 21
Step-by-step explanation:
The easiest way to solve this problem is guess and check.
First of all, a perfect square NEEDS to be a WHOLE number
Since 4851 is odd, you cannot divide it by an even number evenly, as it would result in a number with a remainder or leftover decimal amount.
This means you cannot divide by 2, 4,8...etc
We just have to guess and check odd numbers starting at 3.
4581/ 3 = 1527 sqrt(1527) = 39.07684737 decimal so not this one
4581/ 5 = 916.2 decimal so not this one
4581/ 7 = 654.4285714 decimal so not this one
4581/ 9 = 509 sqrt(509) = 22.56102835 decimal so not this one
4581/ 11 = 441 sqrt(441) = 21
This is the first instance where 4581 is divisible by a number that yields a perfect square, so 11 is the least number and the square root of the result is 21.
What is the value of x?
Answers
Answer:
37
Step-by-step explanation:
The two angels are congruent, meaning they're the same. So its just what multiplied by 2 gets 74. So 74 divided by 2 is 37.
I hope I could help. Enjoy your day! Maybe brainiest if this was right?
No pressure! :)
Answer:
37
Step-by-step explanation:
This is a vertical angle, meaning 74 and 2x would be equivalent to each other. So we have to make 2x equal to 74. We set up an equation, 2x = 74. Divide 2 for both sides; 74 divided by 2 = 37; 2x divided by 2 (2 cancels out, leaving x alone). Therefore, x = 37.
To check, substitute x with 37. 37 times 2 is 74, and since the left is 74 the right also have to be 74.
Provide the missing statement and reasons for the following proof: Given: 9(x+6)−41=75Prove: x=629
Answers
The missing statement for the proof is;
Statement 3;S3 : 9x + 54 = 116
The missing reasons for the proofs are;
R1; Given
R2; Using Addition property of inequality
R3; Distributive property
R4; Using subtraction property of inequality
R5; Using Division property of inequality
The correct question can be found at https://brainly.com/question/25052574
We are given the equation;
9(x + 6) − 41 = 75
Step 2;
Using addition property of equality, we add 41 to both sides;
9(x + 6) - 41 + 41 = 75 + 41
9(x + 6) = 116
Step 3;
Using distributive property to distribute 6 over the items in the bracket to get;
9x + 54 = 116
Step 4; Using subtraction property of equality, we subtract 54 from both sides;
9x + 54 - 54 = 116 - 54
9x = 62
Step 5; Using division property of equality, we divide both sides by 9 to get;
9x/9 = 62/9
x = 62/9
Read more at; https://brainly.com/question/25052574
What is the value of n in this equation 2^2 x2^n =(2^4)^3
Answers
Answer:
n = 10
Step-by-step explanation:
Using the rule of exponents
• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
• [tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]
Then
2² × [tex]2^{n}[/tex] = [tex](2^4)^{3}[/tex]
[tex]2^{2+n}[/tex] = [tex]2^{12}[/tex]
Since the bases on both sides are equal, both 2 then equate exponents
2 + n = 12 ( subtract 2 from both sides )
n = 10
Solve -4(10 + 3x) - (x + 8) = -9. Check your solution.
Answers
Answer:
x = -3
Step-by-step explanation:
Given the equation, -4(10 + 3x) - (x + 8) = - 9:
Distribute -4 into (10x + 3x), and - 1 into (x + 8):
-4(10 + 3x) - (x + 8) = - 9
-40 -12x - x - 8 = -9
Combine like terms:
-48 - 13x = -9
Add 48 to both sides:
-48 + 48 - 13x = -9 + 48
-13x = 39
Divide both sides by -13:
[tex]\frac{-13x}{-13} = \frac{39}{-13}[/tex]
x = -3
Therefore, x = -3
Please mark my answers as the Brainliest if you find my solution helpful :)
Information: The length of a rectangle is three times the width. A new rectangle is created by decreasing the length of the original rectangle by 9 feet and increasing its width by 4 feet. The area of the new rectangle is the same as the area of the original rectangle. What is the perimeter of the new rectangle?
Help,please:(
Answers
Answer:
Hold on, our servers are swamped. Wait for your answer to fully load.
Step-by-step explanation:
Hold on, our servers are swamped. Wait for your answer to fully load.
find the equation of the straight line graph y= mx-6
Answers
Answer:
y = 1/2x - 6
Step-by-step explanation:
Key:
m = slope
b = y-intercept
Slope:
( 0 - - 6 ) / ( 12 - 0 )
( 6 ) / ( 12 )
1 / 2
y-intercept:
( -6, 0 )
Hopefully this helped!
Brainliest please?
Need help photo above
Answers
Answer:
I think -1/3
Step-by-step explanation:
Its negative bc the line is moving from left to right
Take 2 points from the line.
At the origin, (0,0)
And (6,-2) a point in fourth quadrant
m = y2 - y1
x2 - x1
m = -2 - 0
6 - 0
m = -1/3.
The 3rd option is the correct option.
Trinity has 48.75 inches of ribbon. She cut the ribbon into 15 equal-sized pieces. What is the length of each piece of ribbon?
Answers
The length of each piece be 3.25 inches.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have Trinity who has 48.75 inches of ribbon. She cut the ribbon into 15 equal-sized pieces.
Assume that the length of each piece be [x]. Then, we can write -
15x = 48.75
x = 48.75/15
x = 3.25 inches
Therefore, the length of each piece be 3.25 inches.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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#SPJ2
Quadratic Function Question
You are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you learned that one of the leading causes of road accidents is overspeeding.
In your desire to minimize road accidents, you went out to observe how traffic management rules are implemented on the streets. Your attention was caught by a fast-moving car that seemed to be breaking the speed limit of 100 kilometers per hour(km/hr.), and so you followed it along the highway. After a short time, the driver of the car noticed you and started to slow down. Eventually, he stopped on the side of the road.
Supposed the speed of the car had been noted during this time and is modeled by the quadratic equation y = 3x² + 17x - 20, where y represents the speed of the car in km/hr. and x represents the number of minutes after you started following the car. How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain.
You will prepare an observation report highlighting whether it is necessary to come up with more stringent implementation of traffic rules based on the outcome of your analysis of the problem that you encountered on the road.
Answers
Answer:
anong grade po yan mam/sir?
7po yan
Presley fills a cup in the shape of a cone with water. The cup has a diameter of 3.6 inches and a height of 6 inches. The volume of water Presley will use to completely fill the cup is ____ cubic inches.
Answers
Answer:
3.5 bro this is literally the best I could do, hopefully it helps
Step-by-step explanation:
take care
-
7q + 1) + (9q - 13)
Answer
Answers
Answer: The simplest form of this equation is 16q-12
Step-by-step explanation:
Answer:
(-7q+1) + (9q-13)
2q - 12
Step-by-step explanation:
The first step you'll take is to combine like terms:
-7q + 1 + 9q - 13 ⬇
-7q + 9q + 1- 13
Then subtract or add the terms⬇
1: -7 + 9q = 2q
2: 1 - 13 = 12
So... 2q - 12
Then this would be your answer!
Tell me if this helps- or if I answered your question! :)
If the question was (7q + 1) + (9q - 13) tho... the answer would be 16q - 12, just follow the same steps⬆
Simplify
17x + 5y - 4x + 10y
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Simplification :
[tex]17x + 5y - 4x + 10y[/tex][tex]13x + 15y[/tex]Answer:
13x + 15yStep-by-step explanation:
Combine Like Terms:
= 17x + 5y + − 4x + 10y
= (17x + −4x) + (5y + 10y)
= 13x + (5y + 10y)
= 13x + 15yPlease help I’ll mark brainliest!
Answers
Answer:
Disciminant of f = 0
x-intecept = [tex](\frac{3}{2}, 0)[/tex]
Step-by-step explanation:
Given the quadratic function, -4x² + 12x - 9
where a = -4, b = 12, and c = -9
The discriminant, b²- 4ac, is the expression inside the radical (numerator) of the quadratic formula:
[tex]x = \frac{-b +/- \sqrt{b^{2}-4ac} }{2a}[/tex]
The first part of your given problem asks for the discriminant. Substitute the values for a, b, and c:
b²- 4ac = 12² - 4(-4)(-9) = 144 - 144 = 0 → This implies that the quadratic function has one real root.
Therefore, the disciminant of f is 0.
Next, the given problem asks for the x-intercepts. The x-intercept is the point on the graph where it crosses the x-axis. As I mentioned earlier, the function has one real root. Therefore, it means that there is only 1 x-intercept. To find out what the x-intercept is, use the quadratic formula:
[tex]x = \frac{-b +/- \sqrt{b^{2}-4ac} }{2a}[/tex]
[tex]x = \frac{-12 +/- \sqrt{12^{2}-4(-4)(-9)} }{2(-4)}[/tex]
[tex]x = \frac{-12 +/- \sqrt{144 - 144} }{-8}[/tex]
[tex]x = \frac{-12}{-8} = \frac{3}{2}[/tex]
Therefore, the x-intercept is [tex](\frac{3}{2}, 0)[/tex].
The sum of 6 consecutive integers is 39
Answers
Answer:
65
Step-by-step explanation:
ayudaaaaaaa es razonamiento matematico
pagué 250 pesos del recibo del agua y 490 pesos de la luz pero no recuerdo cuanto pague del telefono si traia $1000 y me sobraron 74.50 pesos ¿por cuanto era el recibo del telefono?
Answers
Queremos encontrar y resolver una ecuación algebraica con los datos dados.
Veremos que se pagaron 185.50 pesos del telefono.
La información que se nos da es:
Se pagan 250 pesos de agua.Se pagan 490 pesos de agua.No se sabe cuanto se pago del telefono, representemos esto con X.Sabemos que de 1000 pesos sobraron 74.50, entonces podemos escribir:
1000 - 250 - 490 - X = 74.50
Ahora podemos resolver esto para X.
1000 - 250 - 490 - X = 74.50
260 - X = 74.50
X = 260 - 74.50 = 185.50
Así podemos concluir que se pagaron 185.50 pesos del telefono.
Sí queres aprender más, púedes leer.
https://brainly.com/question/14655912
✨100 points so hurry✨What is the length of NA?
O2 units
09 units
11 units
14 units
Answers
5x-1=6x-3
2=x
What is 380.5 rounded to the nearest whole number
Answers
Answer:
It will be 381. You round up if it is five and over, and round down if 5 and below.
Step-by-step explanation:
A decimal cannot be a whole number so rounding to the nearest whole number means getting rid of the decimal. You do this by rounding up if it 5 and up, and rounding down if it is 5 and below. 380.5 means you would round up to 381. If it it were 380.4, you would round down to 380.
Answer:
381
Step-by-step explanation:
any number 5 and over will round up
Write an equation to represent eachrelationship. SOLVE THE EQUATION 6 less than three times a number equals eighteen.
Answers
Answer:
Equation = 3x - 6 = 18
Solving of equation =
x = 8
Step-by-step explanation:
let the number be x
Now let us first set an equation
less than means - subtraction
3x - 6 = 18
Now let us solve the equation and find the value of x
3x - 6 = 18
Transpose
3x = 18 +6
3x = 24
x = 24 ÷ 3
x = 8
Equation = 3x - 6 = 18
Solving of equation =
x = 8
Which graph matches the equation ? 1 2 3 4 ? plzzzzzzzzzz help fast
Answers
Answer:
the 2nd one would be a good choice
Letter A.
find the unknown angle
Answers
Answer:
X&Y
Step-by-step explanation:
simple
very nice questions
Answer:
d: x equals 50 degrees and y equals 90 degrees
Step-by-step explanation:
thats the answer for the first one
6x – 3y = 8
7x = 5y + 2
—6у + 4х = 8
x + y = 2x + 3
DIRECTIONS:Rearrange each equation into slope-intercept form. Identify the slope and y-intercept
Answers
Answer:
Step-by-step explanation:
The linear equation where:
[tex]\large \boldsymbol {} \sf y=\underbrace{m}_{slope }x \ +\underbrace{b} _{y -intersept}[/tex]
Solution :
[tex]\displaystyle \sf \#13. \\\\ 6x-3y=8 \\\\\ -3y=8-6x \\\\y=-\frac{8-6x}{3} \\\\ \boxed{\sf y=2x-2\frac{1}{3} }} \\\\ slope =2 \\\\ y-intersept =-2\frac{1}{3} \\\\-------------[/tex]
[tex]\sf \#14 . \\\\\\ 7x=5y+2 \\\\5y=7x-2 \\\\y =\dfrac{7x-2}{5} \\\\ \boxed{\sf y=1,4x-0,4} \\\\slope = 1,4 \\\\y-intersept =-0,4 \\\\---------------[/tex]
[tex]\dispalystye \sf \#15. \\\\ -6y+4x=8 \ |\div2 \\\\-3y+2x=4 \\\\ y=-\dfrac{4-2x}{3} \\\\ y=\boxed{\sf \frac{2x-4}{3} } \\\\slope = \dfrac{2}{3} \\\\ y-intersept = -\dfrac{4}{3 }\\\\ -----------------[/tex]
[tex]\sf \#16 .\\\\ x+y=2x+3 \\\\y=2x-x+3 \\\\\boxed{\sf y=1\cdot x+3} \\\\slope =1 \\\\y-intersept =3[/tex]
Fill in the blank with an appropriate term to make the equation correct, then determine the property illustrated in each item. Number one is done as your guide. EQUATION MISSING TERM PROPERTY OF EQUALITY 1. 4 + ________ = 0 _____ − 4 _ Additive Inverse Property _ 2. ________ + 3x = 3x __________ __________________________ 3. 2x + 3y = 3y + ________ __________ __________________________ 4. (____)(5) = 5 __________ __________________________ 5. (____)(7x) = x __________ __________________________
Answers
Answer:
Missing term
1. -4
2. 0
3.2x
4. 1
5. 1
Property of equality
1. Additive inverse property
2. Additive Identity property
3.commutative property of additional
4. Multiplicative identity property
5. Multiplicative inverse property
Blake and two friends equally shared the cups of water shown in the picture.
What fraction of the cups of water did each of them drink?
A
3
6
B
5
6
C
2
6
D
4
6
Answers
there are six cups total and three (blake plus two others) friends
there are two ways you can solve this…
1. by making groups
if you look at the picture, you can split it into three groups because that is the number of people, then count how many cups there are in one group which will be your numerator for the denominator six which is the total
2. simple division
divide the total number of cups buy the number of people which is 3
you get two and follow the same process above
What is the solution to m(n(x))? m(x)=10x−9 n(x)=7x2+4
Answers
The composite function m(n(x)) is 70x²+ 19
Given the functions
m(x)=10x−9
n(x)=7x²+4
We need to get the composite function m(n(x))
m(n(x)) = m(7x²+4)
To get m(7x²+4), we need to replace x as 7x²+4 in function m(x) as shown:
m(7x²+4) = 10(7x²+4) - 9
m(7x²+4) = 70x²+ 28 - 9
m(7x²+4) = 70x²+ 19
Hence the composite function m(n(x)) is 70x²+ 19
Learn more here: https://brainly.com/question/3256461
Help stuck on this question
Answers
Answer:
x = 15
Step-by-step explanation:
<JKM is the sum of the two smaller angles.
<JKL + <LKM = <JKM
<JKM = 154
<JKL = 6x
<LKM = 3x + 19
6x + 3x + 19 = 154 Subtract 19 from both sides
9x + 19 - 19 = 154-19 Combine
9x = 135 Divide by 9
9x/9 = 135/9
x = 15
Burton wants to rent a bike to go trick-or-treating so he can get to more houses. One place he
found charges $27.50 per hour to rent the bike and helmet. The second place charges $23.25 per
hour for the bike and an additional $17 for the helmet. Write and solve an equation to determine the
number of hours that Burton could rent a bike and helmet from either company at the same cost."
Answers
Answer:
first company=3 hours × $44.5
second one=3.317 hours × $40.25
both will be equal $133.5
Step-by-step explanation:
i hope that what u wanted
The length of a living room is 12 feet and its width is 10 1/2 feet. The length of the room is being expanded by x feet. Select all the expressions that represent the area of the living room in square feet. A. 10.5(12x) square feet B. (10.5 + 12 + x) square feet C. 10.5(12 + x) square feet D. 126x square feet E. (126 + 10.5x) square feet F. (22.5 + x) square feet
Answers
Answer:
Step-by-step explanation:
12 ft x 10.5 ft = Area1
(12+x)*(10.5) = Area2
That looks like C. 10.5(12 + x) square feet