Find the equation of a line that passes through the point (0,-1) and has a gradient of -3. Leave your answer in the form y = m x + c
The equation of a line that passes through the point (0,-1) and has a gradient of -3 is y = -3x - 1
How to determine the equation of the line?From the question, we have the following points that can be used in our computation:
(x, y) = (0, 1)
Also, we have the slope to be
gradient = -3
Rewrite as
m = -3
The equation of the line is then calculated using the following equation
y = m(x - x₁) + y₁
Where
(x, y) = (0, -1)
m = -3
Substitute the known values in the above equation, so, we have the following representation
y = -3 * (x - 0) - 1
Evaluate
y = -3 * x - 1
So, we have
y = -3x - 1
Hence, the line equation is y = -3x - 1
Read more about linear equations at
https://brainly.com/question/2030026
#SPJ1
Which is the equation of a line that has a slope of 1/2
and passes through point (2, -3)?
Answer: A. : y=1/2x-4
Step-by-step explanation:
Use the equation y=mx+b: -3=1/2(2)+b
Simplify: -3=1+b
Simplify: -4=b
Final equation: y=1/2x-4
monica tiene una heladeria pago 210.000 por la compra de los ingredientes, recibio 550.000 y al final del mes pago 105.000 para el mantenimiento de equipos
que numero entero representa el balance de Monica al final del mes?
The number that represents Monica's balance at the end of the month, given the amount paid for the ingredients and the amount received, is 235, 000
How to find the end of month balance?The balance at the end of the month to Monica's ice cream parlor can be found by the simple formula:
= Amount received - Amount spent
The amount received is 550, 000.
The amount spent is:
= Purchase of ingredients + Equipment maintenance
= 210, 000 + 105, 000
= 315, 000
Monica's balance is therefore:
= 550, 000 - 315, 000
= 235, 000
Find out more on balance at https://brainly.com/question/2510966
#SPJ1
great to least -3/5, -2/3, 0.7, 0
Answer:
Step-by-step explanation:
Least to greatest :
-3/5,-2/3,0,0.7
24. Evaluate the expression for the values of b.
b
b(3) + 20.4
8.9
5.1
0.2
The expression for the values of b, when b = 8.9 is 47.1, when b = 5.1 is 35.7 and when x = 0.2 is 21
What is an expression?An expression in maths, a sentence with a minimum of two numbers or variables and at least one math operation.
Given an expression b(3) + 20.4
When b = 8.9
8.9*3 + 20.4 = 47.1
When b = 5.1
5.1*3 + 20.4 = 35.7
When b = 0.2
0.2*3 + 20.4 = 21
Hence, The expression for the values of b, when b = 8.9 is 47.1, when b = 5.1 is 35.7 and when x = 0.2 is 21
For more references on expression, click;
https://brainly.com/question/16804733
#SPJ1
-2.2f + 0.4f - 16 - 8
Help mee someoneeeeee
Solve the system of inequalities by graphing.
y < -2x - 5
y > 6x + 5
Answer:
Take a look at the attachment...
Hope this helps! :)
For questions 7-10, determine the slope between the two points.
7. (-14, -10) and (12, 18) 8. (-3, 12) and (1, 2)
9. (25, -14) and (-3, 7) 10. (4, 14) and (16, 20)
The slope between the two points:
7. (-14, -10) and (12, 18) => m = 1.077
8. (-3, 12) and (1, 2) => m = -2.5
9. (25, -14) and (-3, 7) => m = -0.75
10. (4, 14) and (16, 20) => m = 0.5
In this question, we need to determine the slope between the two points.
We know that the formula of slope between the two points (x1, y1), (x2, y2)
m = (y2 - y1)/(x2 - x1)
7. (-14, -10) and (12, 18)
m1 = (18 + 10)/(12 + 14)
m1 = 1.077
8. (-3, 12) and (1, 2)
m2 = (2 - 12)/(1 + 3)
m2 = -2.5
9. (25, -14) and (-3, 7)
m3 = (7 + 14)/(-3 - 25)
m3 = -0.75
10. (4, 14) and (16, 20)
m4 = (20 - 14)/(16 - 4)
m4 = 0.5
Therefore, the slope between the two points:
7. (-14, -10) and (12, 18) => m = 1.077
8. (-3, 12) and (1, 2) => m = -2.5
9. (25, -14) and (-3, 7) => m = -0.75
10. (4, 14) and (16, 20) => m = 0.5
Learn more about the slope here:
https://brainly.com/question/16180119
#SPJ1
3 1 0 -2
7 7 7 7
linear or not linear
I will give a star for the right one
The relationship given in the table is linear, as the rate of change of the output relative to the input is of zero.
How to identify linear relationships?Linear relationships are relationships in which the rate of change of the output relative to the input is constant, and called slope.
The points from the table in this problem are listed as follows:
Input of 3 with an output of 7.Input of 1 with an output of 7.Input of 0 with an output of 7.Input of -2 with an output of 7.The rate of change is given by the change in the output divided by the change in the input. Since the output remains constant, the rate of change remains constant at zero, and thus, this is a linear relationship.
More can be learned about linear relationships at https://brainly.com/question/24808124
#SPJ1
Kimberly's school is having a spring carnival. When Kimberly carries a bin of water balloons outside for the balloon toss, she trips and breaks 11 balloons. She counts the remaining water balloons, and there are 13 left.
Which equation can you use to find the number of water balloons w in the bin before Kimberly trips?
Equation can use to find the number of water balloons w in the bin before Kimberly trips is w-11=13.
Given that, Kimberly carries a bin of water balloons outside for the balloon toss, she trips and breaks 11 balloons.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The number of water balloons w in the bin before Kimberly trips.
She counts the remaining water balloons, and there are 13 left.
According to the question, the equation is
w-11=13
⇒ w=13+11
⇒ w=24
Hence, equation can use to find the number of water balloons w in the bin before Kimberly trips is w-11=13.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ1
Please helpp 20 points
Show all your work and steps please
Solve for W
P = 2L + 2W
The equation to solve for W is W = (P-2L)/2.
According to the question,
We have the following information:
P = 2L + 2W
Now, we have to solve this equation for W.
Subtracting 2L from both sides of the equation will give us the following expression:
P-2L = 2W
Now, we will divide both sides of the equation by 2. And we will have the following expression:
(P-2L)/2 = W
(More to know: now, in this equation, if the value of P and L are given then we can use this equation to find the value of W.)
Hence, the equation to solve for W is W = (P-2L)/2.
To know more about equation here
https://brainly.com/question/17377681
#SPJ1
please help with part (b) of this question!! thank you!!!
Answer:
p = 0, q = - 0.5-------------------------------
Part (b)Simplify first:
2p = q√76 + √192p = q(√4×√19) + √192p = 2q√19 + √192p = √19(2q + 1)We need both p and q be rational numbers and we know √19 is irrational.
It is only possible if both side are equal to zero:
2p = 0 ⇒ p = 0,2q + 1 = 0 ⇒ 2q = - 1 ⇒ q = - 0.5Answer:
[tex]\textsf{(a)} \quad h=3, \quad k=-2[/tex]
[tex]\textsf{(b)} \quad p=0, \quad q=-\dfrac{1}{2}[/tex]
Step-by-step explanation:
Part (a)Rearrange the given equation so that both sides are in the same form:
[tex]\begin{aligned}2-h\sqrt{11}&=-3\sqrt{11}-k\\2-h\sqrt{11}+k&=-3\sqrt{11}-k+k\\k+2-h\sqrt{11}&=-3\sqrt{11}\\k+2-h\sqrt{11}-2&=-3\sqrt{11}-2\\k-h\sqrt{11}&=-2-3\sqrt{11}\\\\\implies h&=3\\\implies k&=-2\end{aligned}[/tex]
Part (b)Rewrite and factor the right side of the equation.
As p and q are rationals, both sides of the equation have to equal zero.
[tex]\begin{aligned}2p&=q\sqrt{76}+\sqrt{19}\\2p&=q\sqrt{4 \cdot 19}+\sqrt{19}\\2p&=q\sqrt{4} \sqrt{19}+\sqrt{19}\\2p&=2q\sqrt{19}+\sqrt{19}\\2p&=\sqrt{19}(2q+1)\\\\\implies 2p&=0 \implies p=0\\\implies 2q+1&=0 \implies q=-\dfrac{1}{2}\end{aligned}[/tex]
what is the quotient (3x² + 8x − 3) ÷ (x + 3)?
a. 3x + 5, r = 1
b. 3x - 5
c. 3x + 1
3x - 1
Answer:
d. 3x - 1
Step-by-step explanation:
(3x² + 8x − 3) ÷ (x + 3)
= ((3x - 1)(x + 3) ÷ (x + 3)
= 3x - 1
Answer:
D
Step-by-step explanation:
3x. 9x 3
x. -x -1
(3x-1)(x+3) /(x+3)
3x - 1
Paula has 3 1/3 cups of sugar. Her apple pie recipe calls for 1 1/2 cups of sugar.
After she makes her pie, how much sugar will she have left?
please help me asap!!!!
From the total of 3 1/3 cups of sugar Paula used 1 1/2 cups of sugar to make apple pie recipe then amount of sugar left with Paula is given by
1 5/6 cups of sugar.
As given in the question,
Total amount of sugar Paula ha = 3 1/3 cups of sugar.
Amount of sugar used to make apple pie recipe is = 1 1/2 cups of sugar
Let x be the amount of sugar left with Paula after making apple pie
Required equation is :
x + 1 1/2 = 3 1/3
⇒x + 3/2 = 10/3
⇒ x = (10/3) - (3/2)
⇒x = ( 20 -9) /6
⇒ x= 11/6
⇒ x= 1 5/6 cups of sugar
Therefore, from the total of 3 1/3 cups of sugar Paula used 1 1/2 cups of sugar to make apple pie recipe then amount of sugar left with Paula is given by 1 5/6 cups of sugar.
Learn more about sugar here
brainly.com/question/23945593
#SPJ1
The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.
100 meter race graph of a diagonal line on a coordinate plane going up and to the right with Time in seconds on the x axis and Distance in meters on the y axis. The line begins at the origin and passes through the point 2 comma 20.
Answer: Simplify your answer and write it as a proper fraction, improper fraction, or whole number
Step-by-step explanation:
A dressmaker needs to cut 12-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 12-inch pieces can the dressmaker cut from 5 of these rolls of ribbon?.
45 pieces can the dressmaker cut from 5 of these rolls of ribbon.
Mathematical expression:
When we validly combine numbers and variables, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a mathematical expression.
Here we have to find the number of 12-inch pieces can the dressmaker cut from 5 of these rolls of ribbon.
We are provided the length of the ribbon, which is 9 feet.
As we know that
1 feet = 12 inches
So rolls of 9 feet can make 9 pieces of 12 inches.
So 5 of these rolls of ribbon can make = 5 × 9 = 45 pieces.
Therefore we get 45 pieces.
To know more about the mathematical expression refer to the link given below:
https://brainly.com/question/1852123
#SPJ4
Select each relation that has a range of {-5, 0, 4, 7}?
Responses
A{(4, 2), (0, 6), (-5, 12), (7, 6), (4, -3)}
B{(18, 4), (-1, 0), (-3, -5), (6, 7), (2, 4)}
C{(6, -5), (-11, 0), (6, 4), (-3, 7), (2, 9)}
D{(0, 6), (-5, 12), (7, 6), (4, -3)}
E{(6, -5), (-2, 4), (4, 7), (1, 0)}
F{(-5, 4), (-2, 4), (4, 7), (1, 0)}
Answer: E and B
I did the quiz
A relation that has a range of {-5, 0, 4, 7} is:{(6, -5), (-2, 4), (4, 7), (1, 0)}
The correct answer is an option (E)
In this question, we have been given some relations.
We need to find a relation that has a range of {-5, 0, 4, 7}
We know that in a relation is a set of ordered pairs (x, y)
where x is input and y is output.
We know that range is collection of all output values.
Therefore, a relation that has a range of {-5, 0, 4, 7} is:
E {(6, -5), (-2, 4), (4, 7), (1, 0)}
Learn more about a relation here:
https://brainly.com/question/13088885
#SPJ1
Can someone pls help me
Answer:
Total surface area of the cone = 208.81 sq cm
explanation
Diameter of the cone (d) = 7 cm
Slant height (L) = 15.5 cm
1) The radius of the cone= Half of the diameter
= 7/2 cm = 3.5 cm
⇒ r = 3.5 cm
Now, Total surface area of the cone =
taking π = 3.14
We get
and πrl = 3.14 x 3.5 + 15.5 = 170.345
So, Total surface area of the cone = 38.465 + 170.345 = 208.81 sq cm
For the 4th & 5th grade end-of-year field trip, the PTA raised $7,985 to take students to Dominion. There will be 112students and 13 teachers. How much will the tickets cost for everyone?
The cost of the ticket for everyone, given the amount raised by the PTA, can be found to be $63.88
How to find the cost of the tickets?The cost of the tickets to each individual person, or to everyone, can be found by the formula:
= Amount raised by PTA / Number of students and teachers going on the trip
Amount raised by PTA = $7, 985
The number of students and teachers going on the trip:
= 112 + 13
= 125 people
The cost of the tickets are:
= 7, 985 / 125
= $63.88
Find out more on cost of tickets at https://brainly.com/question/12563148
#SPJ1
When collecting data, what is a sample?
Thank you for helping.
According to the given graph, the type of sample is continuous.
Sampling:
Basically, sampling refers the a statistical methodology that uses a portion of a total population to represent the full population.
Given,
Here we have the graph and that represents the data collection.
Now, we need to find the type sample used.
In order to find the type of sample used in the given data, we have to carefully looking into the point representation of the graph.
While we looking into the graph, we have identified that the point one the graph continuous and it will gradually moving upwards.
Therefore, the type of sample use here is continuous.
To know more about Sampling here.
https://brainly.com/question/27860316
#SPJ1
For a project in his Geometry class, Levi uses a mirror on the ground to measure the height of his school’s football goalpost. He walks a distance of 12.05 meters from the goalpost, then places a mirror flat on the ground, marked with an X at the center. He then walks 2 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.15 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.
The measured distance of 1.15 meters from Levi's eyes to to the ground indicates that the height of the goalpost located 12.05 meters from the mirror when Levi is 2 meters from the mirror, found using similar triangles is approximately 6.93 meters.
What are similar triangles?Two triangles are similar if two angles in one triangle are congruent to two angles in the other triangle.
According the laws of reflection, the angle made by the incident ray with the normal is the same as the angle made by the reflected ray and the normal
Both the angle made by Levi and the angle made by the goalpost with the ground are perpendicular or 90°.
Therefore, the triangle formed by the line of site to the mirror and the reflected ray to the top of the goal post are similar triangles by Angle-Angle similarity postulate.
The ratio of corresponding sides is the same in similar triangles, therefore;
[tex]\dfrac{Levi's \, distance \, from \, the \, mirror}{Goalpost \, distance \, from \ the \ mirror }=\dfrac{Levi's \,height}{Height\, of \, the \, goalpost, H}[/tex]
[tex]\dfrac{2}{12.05} =\dfrac{1.15}{H}[/tex]
[tex]H =\dfrac{1.15\times 12.05}{2} \approx 6.93[/tex]
The height of the goalpost is approximately 6.93 meters
Learn more about similar triangles and their condition for similarity here:
https://brainly.com/question/2644832
#SPJ1
the sin of angle N in fig. is (leave answer as a frac)
In the given right-angled triangle sin(N) = 3/5.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjacent/hypotenuse and
tan = opposite/adjacent.
Given,, we have to obtain sin(theta) in the right-angled triangle with opposite = 3 units, hypotenuse = 5 units, and adjacent = 4 units.
We know sin = opposite/hypotenuse.
∴ Sin(N) = 3/5.
learn more about trig ratios here :
https://brainly.com/question/14977354
#SPJ5
Five lights, A, B, C, D, and E, are aligned in a row. The middle light is the midpoint of the segment between the second and fourth lights and also the midpoint of the segment between the first and last lights. Given: C is the midpoint of BD and AE. Prove: AB = DE
I need help writing the reason part of a two-column proof on this
Since C is mid - point of both BD and AE , therefore AB = DE .
Given : A , B , C , D and E are aligned in a row .
C is the mid - point of BD and AE .
To prove : AB = DE .
Since , C is the mid - point of BD ,
⇒ BC = CD ( 1 )
And since C is the mid - point of AE as well ,
⇒ AC = CE ( 2 )
Subtracting ( 1 ) from ( 2 ) ,
AC - BC = CE - CD
AB = DE
Hence , proved AB = DE .
To know more on proofs follow link :
https://brainly.com/question/28159445
#SPJ4
Rewrite the product using the distributive Property then simplifly to find the answer.
!8(26)
The answer to the question 18(26) is 18 * (20 + 6) = 468
What is the distributive property of multiplication?This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
According to the distributive property, you can multiply a component by each addend separately before adding the total when multiplying it by two addends.
Based on this property, in order to solve a problem of this type, you have to expand the multiplication.
Hence 18(20 * 6)
is written as (18 * 20) + (18 * 6)
= 468
The answer is 468
Read more on distributive property here: https://brainly.com/question/2807928
#SPJ1
In a particular city, taxi charge an initial fee of $3. 30 plu $2. 10 per mile. How far can a paenger travel for $49. 50
Answer: 22 miles
Step-by-step explanation: 49.50 - 3.30 = 46.20
46.20 ÷ 2.10 = 22
Shay is painting a fence. The fence has 7 sections that are each 4 feet long and one 18 foot long section. What is the total length of the fence shay is painting?
Answer:
You would have to add all of them up, which is (7*4) + 18 = 46.
Therefore the answer is 46 feet for the length of the fence.
Please help, I'm having trouble
Answer:
Step-by-step explanation:
Okay, I can help. Please specify your question further so I can actually help you.
enter two pairs of values for x and y that make the equation x + 2y = 10 true.
What are the domain and range?
The domain of the given function f(x) is (−∞,∞) and the range is (-∞, 4].
What is the domain and range of a quadratic function?
The set of all real values of x that will result in real values for y is known as the domain of a function. A function's range is the set of all real values of y that may be obtained by substituting real numbers into x.
Given function is [tex]f(x)=-x^{2} +4[/tex]
The domain of [tex]f(x)[/tex] = Any real value of x i.e. (−∞,∞)
Range of [tex]f(x)[/tex] = (-∞, 4] i.e. y ≤ 4
Hence, the domain of f(x) is (−∞,∞) and range is (-∞, 4].
To learn more about the domain and range of a function
https://brainly.com/question/28039064
#SPJ1
