Answer: x=-1 and y=-2
what’s the slope and y-int of, [-1,7] and [0,4]
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{What is the formula for finding slope?}[/tex]
[tex]\mathbf{\dfrac{y_2 - y_1}{x_2 - x_1} = slope}[/tex]
[tex]\huge\textbf{Often people understand it better by:}[/tex]
[tex]\mathbf{\dfrac{rise}{run} = slope}[/tex]
[tex]\huge\textbf{Answering the given question:}[/tex]
[tex]\mathbf{y_2 \rightarrow 4}\\\\\mathbf{y_1 \rightarrow 7}\\\\\mathbf{x_2\rightarrow 0}\\\\\mathbf{x_1 \rightarrow -1}[/tex]
[tex]\huge\textbf{Now, that we have that information out}\\\huge\textbf{the way, we can answer the question.}[/tex]
[tex]\huge\textbf{Solving for the answer:}[/tex]
[tex]\mathbf{\dfrac{4 - 7}{0 - (-1)} = slope}[/tex]
[tex]\mathbf{\rightarrow \dfrac{4 - 7}{0 + 1} = slope}[/tex]
[tex]\mathbf{\rightarrow \dfrac{-3}{1} = slope}[/tex]
[tex]\mathbf{-3\div 1 = slope}[/tex]
[tex]\mathbf{\rightarrow -3 = slope}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\textsf{S}\frak{lope \rightarrow -3}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
When two variables are being examined, and one variable moves one way and the other variable moves in the opposite direction, this is called a(n):
When two variables are being examined, and one variable moves one way and the other variable moves in the opposite direction, this is called an inverse relation.
Correlation is a statistical degree (expressed as various) that describes the size and path of a courting among or extra variables. A correlation between variables, however, does now not robotically suggest that the trade in a single variable is the purpose of the alternate inside the values of the opposite variable.
A positive correlation is clear while variables move within an equal course. An inverse correlation is clear whilst variables circulate inside the opposite route.
A negative correlation is a relationship among variables that pass in contrary instructions. In other phrases, while variable A increases, variable B decreases. A poor correlation is likewise known as an inverse correlation.
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When two variables are being examined, and one variable moves one way and the other variable moves in the opposite direction, this is called a(n): Inverse Relationship.
Consumption is subject to diminishing marginal utility. -A lower price increases the purchasing power of a buyer's income, enabling a buyer to purchase more of a product.
The law of supply and demand is a keystone of modern economics. According to this theory, the price of goods is inversely related to the quantity offered. This makes sense for many goods, since the more costly it becomes, fewer people will be able to afford them and demand will subsequently drop.
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The length of a picture is 10.5cm and the diagonal is 18.2cm . What width must have to meet a right angle ?
The width that must meet a right angle is 14.87 cm
How to determine the width?The given parameters are:
Length = 10.5 cmDiagonal = 18.2 cmThe width is calculated using the following Pythagoras theorem.
Width^2 = Diagonal^2 - Length^2
So, we have:
Width^2 = 18.2^2 - 10.5^2
Evaluate
Width^2 = 220.99
Take the square root of both sides
Width = 14.87
Hence, the width that must meet a right angle is 14.87 cm
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In a sale, the cost of a car is
reduced by 20%. In the sale it
costs £4,500. How much was it
before the sale?
5400
4500 multiplied by 1.2
Answer:
The original price would be $5,625
Step-by-step explanation:
The formula to finding out the original price is -
OP = SP/1 - P
- OP = Original Price
- SP = Sale Price
- P = Percent Discount
Now just put in the respected values and you'll get -
OP = 4500/1 - 0.20
Now solve :D
OP = 4500/1 - 0.20
= 4500/0.8
= 5625
So the original price is $5,625
Hope this helped! :D
16 percent of what number is 17
Work Shown:
16% of x = 17
0.16x = 17
x = 17/(0.16)
x = 106.25
pls help me in this i really need help :( :)
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
First off, let's write the line in point-slope form:
[tex]\rm \hookrightarrow (y-y_0)=m(x-x_0)[/tex]
(x₀, y₀) any random point on the line'm' is the value of the slopeLet's calculate the slope:
[tex]\rm \hookrightarrow Slope = \frac{y_2-y_1}{x_2-x_1}[/tex]
(x₁, y₁): any random point on the line ⇒ (-2, -6)(x₂,y₂): any random point on the line that is not (x₁, y₁) ⇒ (2, -3)[tex]\rm \hookrightarrow slope = \frac{-3--6}{2--2} =\frac{3}{4}[/tex]
Now that we found the slope, let's put it into the point-slope form
⇒ we need (x₀, y₀) ⇒ let's use (2,-3)
[tex](y-(-3))=\frac{3}{4} (x-2)\\y+3=\frac{3}{4} (x-2)[/tex]
The equation, however, could also be put into 'slope-intercept form'
⇒ gotten by isolating the 'y' variable to the left
[tex]y = \frac{3}{4}x-\frac{9}{2}[/tex]
Answer:[tex]y = \frac{3}{4}x-\frac{9}{2}[/tex] or [tex]y+3=\frac{3}{4} (x-2)[/tex]
*Either equations work, put the one that you are the most familiar with
Hope that helps!
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PLSSS HELP!!!
Which equation is represented by the graph below?
Answer:
hope it will help you to
hope it will help you
It would be y = ex - 4
As a suggestion, I would recommend using the desmos calculator online. It's an entirely free graphing calculator and helps with questions like this. I hope that helps!
Adrian brought snacks for his team's practice. He bought a bag of apples for $1.68 and a 12-pack of juice bottles. The total cost before tax was $10.92. How much was each bottle of juice
Answer:
x = 77/100
Step-by-step explanation:
When you solve this equation: 1.68+ 12x = 10.92
The answer is x = 77/100
The cost of each bottle of juice will be $0.77.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Adrian brought snacks for his team's practice. He bought a bag of apples for $1.68 and a 12-pack of juice bottles. The total cost before tax was $10.92.
From the given data the expression will be formed as below:-
1.68+ 12x = 10.92
12x = 10.92 - 1.68
12x = 9.24
x =9.24 / 12
x = $0.77
Therefore, the cost of each bottle of juice will be $0.77.
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If I have 8$and something 3$ how many change wil I get?
At which of the given values is the graph discontinuous?
a. 7
b. -2
C. -4
d. 0
Solve the equation
(6x18) (3x + 2) = 0
Answer:
[tex] - \frac{2}{3} [/tex]
Step-by-step explanation:
Given (6x18)(3x+2) = 0
[tex]108(3x + 2) = 0 \\ 324x + 216 = 0 \\ 324x = - 216 \\ x = \frac{ - 216}{324} \\ = - \frac{2}{3} [/tex]
X=
Help me please thanks
The value of x will be equal to 6 units.
What is trigonometry?Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
Given that the radius of the circle is 9 which is SO= 9 and SG = 9.
Now the value of x will be calculated by using the Pythagorean theorem.
H² = P ² + B ²
OG² = 12² + 9 ²
OG = √225
OG = 15
Since, OG = OH + HG
HG = OG - OH
x = 15 - 9
x = 6 units
Therefore the value of x will be equal to 6 units.
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In a binomial experiement, what does it mean to say that each trial is independent of the other trials?.
In a binomial experiment to say that each trial is independent of the other trials means that the outcome of one trial does not affect the other trial.
An experiment with a set number of independent trials and just two results is referred to as a binomial experiment.
To say that in a binomial experiment, each trial is independent of the other trials means that the outcome of one trial does not affect the other trials.
This means that whatever we get in the first trial, does not affect the outcome of the second or any other trial.
For example, in the tossing of a coin 10 times, the outcome of the first trial doesn't affect any of the other nine trials.
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Suppose that the linear probability model yields a predicted value of Y that is equal to 1.3. Explain why this is nonsensical. A. The predicted value of Y must be between 0 and 1. B. The predicted value of Y is a positive number. C. The predicted value of Y is too low. D. The predicted value of Y is not an integer.
The predicted value of Y must be between 0 and 1.
A linear probability model (LPM) is a regression model where the outcome variable is a binary variable, and one or more explanatory variables are used to predict the outcome. Explanatory variables can themselves be binary, or continuous.
Suppose, that the linear probability model yields a predicted value of Y that is equal to 1.3.
This is nonsensical because
The predicted value of Y must be between 0 and 1.
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Here are six number cards.
9 7 5 -4 -2 0
Arrange the cards into three pairs with the same total.
Note: Please write each pair on separate lines and
use the word 'and' between the numbers (eg. 7 and -3).
9 and -4
7 and -2
5 and 0
Each and every pair has a total of 5.
Answer:
9 and-4
7 and -2
5 and 0
Step-by-step explanation:
When ya subtract 4 from 9 you get 5
the same applies to the rest.
Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret message by matching the answer with the corresponding letter/symbol from the exercises.
Answer:
a
Step-by-step explanation:
this is the anser on e2020
A space shuttle can orbit the earth at 330 mi above sea level. The average commercial airplane can fly at 5.7 mi above sea level. What is the distance between the two aircraft?
Answer:
324.3mi
Step-by-step explanation:
Given Space Shuttle height above ground = 330mi
Airplane height above ground = 5.7mi
Difference between two aircrafts = Space Shuttle height - airplane height above ground
= 330 - 5.7
= 324.3mi
N= ???
Please help asap
Answer:
N=[tex]\sqrt{61}[/tex]
Step-by-step explanation:
We have the first point as (2,4), and the second point as (-3,-2). This means that [tex]x_1=2, y_1=4,x_2=-3,y_2=-2.[/tex] Using the distance formula, we get [tex]\sqrt{(2-(-3))^2+(4-(-2))^2} \\\sqrt{(2+3)^2+(4+2)^2}\\\sqrt{25+36}=\sqrt{61}[/tex]
Answer:
[tex]\sqrt{61}[/tex]
Step-by-step explanation:
please help me out somebody!
Answer:
Step-by-step explanation:
The equations in this sytem were added to solve for x. What is the value of x?
-6x+4y=-8
6x-12y=14
.-16y=6
.-8y=6
.-8y=-22
.-16y=-22
Answer:
x=5/6 but since you gave options in terms of y: -8y=6
Step-by-step explanation:
When you add equations together to solve for a systems of equations, it because you want to cancel out one of the values, and in this case it's the 6x, since the 6x + (-6x) = 0
Now all you need to do is add the -12 and 4y and you get -8y which is going to be the left side of the equation
Now add the -8 and 14 and you get 6 which is going to be the right side of the equation. This gives you the equation:
-8y = 6
Divide both sides by -8
y = -0.75
Now plug this into either original equation but in this case I'll just use the -6x+4y=-8
Plug in -0.75 as y
-6x+4(-0.75) = -8
-6x-3=-8
-6x=-5
Divide both sides by -6
x=5/6
he coordinate grid shows the graph of four equations: A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6. Which set of equations has (5, 0) as its solution? A and B C and D B and D A and D
The set of equation that is known to have 5 and 0 as solutions is A and B.
How to solve for the system of equations.From the graph that we have here in this question, we are supposed to identify the equations that have this point.
We can do this by tracing the lines in order to locate 5 and 0 on the grid.
When we trace the bine that has 5 and 0, We would find out that it is traceable to A and B.
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Write the correct postulate, theorem, property, or definition that justifies the statement below the diagram.
The correct theorem or definition that justifies the given statement for the diagram is; Definition of a Right angle Triangle
What is the angle postulate?We are given that;
∠MRS ≅ ∠MRO
Now, what that means is that ∠MRS is congruent to ∠MRO. Thus, to understand this concept of equality or congruence, we can prove it since from the given image, we see that;
m∠MRS = m∠MRO = 90°
Since they are both right angles then we can say that the correct theorem is the definition of a right angle triangle.
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Solve for x
[tex]\ \textless \ br /\ \textgreater \ x = \dfrac{1}{2-\dfrac{1}{2-\dfrac{1}{2-x} } } \: \: \: , (x \neq 2)[/tex]
Help me with this!
Answer:
[tex]x= \dfrac{3-2x}{4-3x}[/tex]
Step-by-step explanation:
Given:
[tex]x=\dfrac{1}{2-\dfrac{1}{2-\dfrac{1}{2-x}}}}[/tex]
Simplify:
[tex]\begin{aligned}2-\dfrac{1}{2-x} & =\dfrac{2(2-x)-1}{2-x}\\\\ & =\dfrac{3-2x}{2-x}\end{alilgned}[/tex]
Therefore:
[tex]x=\dfrac{1}{2-\dfrac{1}{\dfrac{3-2x}{2-x}}}[/tex]
Simplify:
[tex]\begin{aligned}2-\dfrac{1}{\dfrac{3-2x}{2-x}} & =2-\dfrac{2-x}{3-2x}\\\\ & =\dfrac{2(3-2x)-(2-x)}{3-2x}\\\\ & = \dfrac{6-4x-2+x}{3-2x}\\\\ & = \dfrac{4-3x}{3-2x}\end{aligned}[/tex]
Therefore:
[tex]x & =\dfrac{1}{\dfrac{4-3x}{3-2x}}[/tex]
[tex]\textsf{Apply the fraction rule}: \quad \dfrac{1}{\frac{b}{c}}=\dfrac{c}{b}[/tex]
[tex]\implies x& = \dfrac{3-2x}{4-3x}[/tex]
3/a times x -4 equals 20
Answer:
a = -5/3
Step-by-step explanation:
3/a × -4 = 20
3a × -4/-4 = 20/-4
3a = -5
a = -5/3
Check:
3/(-5/3) × - 4 = 20
-5 × - 4 = 20
Copy the figure below onto a separate sheet of paper. Find the image of the figure under reflections in line m and then line t. In the box below, describe the rotation equivalent to the composition of reflections with respect to lines m and t.
The reflection of the triangle DEFG will be given in the figure.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
Reflection does not change the size and shape of the geometry.
The image of the figure under reflections in line m and then line t.
The reflection of the triangle DEF will be given in the figure.
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Having some trouble here
Answer:
None of them are correct i believe
Step-by-step explanation:
its sideways lol
How far does judy travel in 2 3/4 hours if she travels at the rate of 5 1/2 miles per hour
Judy travel's 15.125 miles or 15[tex]\frac{1}{8}[/tex] miles in 2 3/4 hours
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed x Time
Given:
Speed = 5 1/2 miles per hour Time = 2 3/4 hoursSubstituting it in the relationship we get,
Distance = Speed x Time
Distance = 5 1/2 miles per hour x 2 3/4 hours
Distance = [tex]\frac{11}{2} X \frac{11}{4}[/tex] miles
Distance = [tex]\frac{121}{8}[/tex] miles or 15[tex]\frac{1}{8}[/tex] miles
Thus Judy travel's 15.125 miles or 15[tex]\frac{1}{8}[/tex] miles in 2 3/4 hours
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What is a solution to the system of equations that includes quadratic function f(x) and linear function g(x)?
f(x)=2x²+x+4
The solution to the system of equations that includes quadratic function f(x) and linear function g(x) is (1, 7)
How to solve system of equation?The solution to the linear and quadratic equation is as follows:
For the linear, a solution is 1 and 7.
This is because when x = 1, f(x) = 7
For the quadratic equation, 1 and 7 also works.
2x² + x + 4
2(1)² + 1 + 4
2 + 1 + 4 = 7
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Suppose that two fair dice have been tossed and the total of their top faces is found to be divisible by 5. What is the probability that both of them have landed 5
The probability that both of them have landed 5 is 1/7.
Two fair dice have been tossed,
The total of their top faces is found to be divisible by 5,
Probability is a branch of mathematics that deals with calculating the likelihood of a given event's occurrence, which is expressed as a number between 1 and 0.
The probability that both of them have landed 5 is
E={(x,y)|x+y=5 or x+y=10, 1≤x,y≤6},
F={(5,5)}.
P(F|E)= 1/7.
Hence, The probability that both of them have landed 5 is 1/7.
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use an exponential expression to calculate the area covered by purple loosestrife seven years from now. is this a valid prediction? What does this result tell you about the constraints on the exponential model?
The area of the wetland that will be covered in purple loosestrife 7 years from now is modeled by this expression 500(1.2)^7
How to illustrate the information?The exponential expression to calculate the area covered by purple loosestrife seven years from now will be:
= 500 × 1.2^7
After evaluating the expression, the model predicts that approximately 1,792 acres of the wetland will be covered in purple loosestrife 7 years from now.
This is not a valid prediction because the total area of the wetland is only 1,240 acres. Therefore, a constraint on the model is that the value of the expression 500(1.2)^t must be less than or equal to 1,240.
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