solve the equation for y and then graph it. 9y-x=18
Answers
Answer: 2+ x/9
graphed
x y
0 2
9 3
Step-by-step explanation:
Related Questions
If b = -2, what is 3b-7 ?
Answers
3 x -2 = -6
-6 -7 = -13
Please help. Options for triangle DEF is…Isosceles rightScalene rightIsosceles and not rightScalene and not right
Answers
0. Please, check below.
,1. scalene triangle and not right
1) Let's find the lengths of the sides of this triangle so that we can classify this triangle.
1.2) And for the slope of each side, we can plug the coordinates into the slope formula:
Slopes:
\(\begin{gathered} DE=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-1)}{0-(-6)}=\frac{2}{6}=\frac{1}{3} \\ EF=\frac{5-1}{1-0}=\frac{4}{1}=4 \\ DF=\frac{5-(-1)}{1-(-6)}=\frac{6}{7} \end{gathered}\)2) We can use the distance formula:
\(\begin{gathered} d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)} \\ d_{EF}=\sqrt[]{(5-1)^2+(1-0)^2}=\sqrt[]{17} \end{gathered}\)Note that we have plugged the coordinates into that, let's proceed with that to find the two other legs' length:
\(\begin{gathered} d_{DE}=\sqrt[]{(1-(-1))^2+(0-(-6))^2}=\sqrt[]{40}=2\sqrt[]{10} \\ d_{DF}=\sqrt[]{(5-(-1))^2+(1-(-6))^2}=\sqrt[]{85} \end{gathered}\)\(\begin{gathered} \text{length:} \\ DE=\sqrt[]{40} \\ EF=\sqrt[]{17} \\ DF=\sqrt[]{85} \end{gathered}\)
2.2) Note that this is a scalene triangle due to those unequal side lengths. We can check whether this is a right triangle using the Pythagorean Theorem:
\(\begin{gathered} a^2=b^2+c^2 \\ (\sqrt[]{85})^2=(\sqrt[]{17})^2+(\sqrt[]{40})^2 \\ 85\ne17+40 \\ 85\ne57 \end{gathered}\)Plugging into the largest side, we can see that it does not verify so this is a scalene triangle and not right
Find the critical value
χ2R
corresponding to a sample size of 5 and a confidence level of 99.0 percent
Answers
The critical value, given the sample size of 5 and the confidence level of 99. 0 percent would be 16. 812.
How to find the critical value ?The critical values for the chi-squared (χ^2) distribution depend on the degree of freedom and the level of significance.
The degree of freedom for a chi-squared distribution typically equals the sample size minus 1 so the degrees of freedom here is:
= 5 - 1
= 4
The level of significance would be:
= 1 - 99. 0 %
= 0. 01
The critical value of the sample would therefore be found on a chi -squared distribution table for df = 4 and α = 0.01 to be 16. 812.
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- A picture frame is 12 inches long and 9 inches wide. In inches, what is the diagonal length of
the picture frame?
O 21 inches
O 15 inches
8 inches
06 inches
Answers
Linear functions model situations that are continually increasing or continually decreasing. Quadratic functions model situations that increase and then decrease, or vice versa.
Polynomial functions can model situations that change directions multiple times. What is a situation in which a polynomial model might make sense, and why?
Answers
A situation that can be modeled by a polynomial function is: Velocity of a Formula 1 car during a lap.
When should polynomial functions should be used?Polynomial functions should be used to model situations that change directions multiple times, between increase and decrease.
One possible example is the velocity of the Formula 1 car during a lap, as follows:
Initially, the velocity increases during the start-finish straight.On the approximation to first turn, the velocity decreases as the car breaks.Coming out of the turn, the velocity increases again.At the next breaking point, the velocity decreases.This behavior keeps happening until the end of the lap.
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I don't understand what do and I am on a time crunch please help
Answers
Answer:
Step-by-step explanation:
Decrease % = 4.2% = 0.042
Total area = 1500 km²
\(y =(1 -0.042)^{t}*1500\\\\y= 1500*(0.958)^{t}\)
8mil 133yd 2ft - 5mil 107 yd 2ft =
Answers
connie poured 200 milliliters of juice into a glass from a juice carton. She then poured 225 milliliters into a second glass. What is the final change in the volume of the carton?
Answers
Answer:
A reduction of 450ml
Step-by-step explanation:
Given
\(V_1 = 200ml\) -- To glass 1
\(V_2 = 250ml\) --- To glass 2
Required
The final change to the carton
To do this, we simply add V1 and V2
So, we have:
\(Total = V_1 + V_2\)
\(Total = 200ml + 250ml\)
\(Total = 450ml\)
This implies that the changes is a reduction of 450ml
Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
Answers
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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Find the first derivative of the function
\( f(x) = \sqrt{4 - x} \)
Answers
Step-by-step explanation:
Check the attachment for answer
![Find the first derivative of the function [tex] f(x) = \sqrt{4 - x} [/tex]](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/aNAcWm750YDKqcJZbHaQwBBbj7HtMJE0.jpeg)
Answer:
\(\bold{-\dfrac{1}{2\sqrt{4-x}}}\)
Step-by-step explanation:
This can also be solved without using limits
Let \(y = \sqrt{4-x}\)
The power rule of derivatives says that if we have a function
\(y = a.x^n,\)
then the first derivative given by \(\frac{dy}{dx}\) or abbreviated as \(y'\) is given by \(n(ax^{n-1})\)
We can use this in combination with the substitution rule of calculus
Let u = 4-x
Then we have \(\frac{du}{dx} = \frac{d(4)}{dx} - \frac{d(x)}{dx} = 0 -1 = -1\)
(First differential of a constant is 0 and first differential of x is 1)
Substituting for u in the original expression \(\sqrt{4-x}\) we get \(\frac{dy}{du} = \frac{d}{du} (\sqrt{u}) = \frac{d}{du}(u^{1/2}) = \frac{1}{2} u^{\frac{1}{2} -1} = \frac{1}{2} u^{-1/2} =\frac{1}{2} \frac{1}{\sqrt{u} }\)
The substitution rule states \(\frac{dy}{dx} = \frac{dy}{du} \frac{du}{dx}\)
So
\(\frac{dy}{dx} = \frac{1}{2\sqrt{u} } . (-1)\)
Substituting for u in terms of x we get
\(\frac{dy}{dx} = \frac{1}{2\sqrt{4-x} } . (-1) = -\frac{1}{2\sqrt{4-x}}\)
Factor Completely: -3x - 9
Answers
Step-by-step explanation:
-3x-9
divide the equation by -1 so that the -1's are taken from -3x and -9. so the -1 goes on the outside of 3x+9
-1(3x+9)
then divide the equation by 3 since 3x and 9 is divisible by 3.
(-1)(3)(3/3x+9/3)
-3(x+3)
Now we can expand again to check the problem
-3 times x=-3x
-3 times 3=-9
and add
-3x-9
Hope that helps :)
Combine like terms to write an equivalent expression
-4r-2r+5
Is there another way you can write this answer? How?
Answers
Answer:
whats your options
Step-by-step explanation:
Answer:
Combined like terms an equivalent expression'):
-4r-2r+5=-6r+5
In Problems 1–6, use the method of undetermined coefficients to find a general solution to the system x′1t2 =
Ax1t2 + f1t2, where A and f1t2 are given
Answers
Answer:hi
Step-by-step explanation:
Write 1 1/6 as an improper fraction
Answers
Step-by-step explanation:
Improper fractions have a numerator that is larger than the denominator
1 = 6/6
so 1 1/6 = 7/6
POSSIBLE POINTS: 33.33
homeowner collects data about the amount of oil A, in gallons, used to heat the house per month for 5 months and the
verage monthly temperature t, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function
(t) = -1.4t + 96 best fits these data.
Answers
=============================================================
Explanation:
Check out the diagram below. I've plotted the regression line A(t) = -1.4t+96 on the same xy grid as the given scatterplot. This line tries to get as close as possible to all of the points.
From here, we plug in each of the temperatures mentioned in the five answer choices (10, 15, 68.5, 55, 0). The outputs form the second column of the table in that same diagram.
For example, if we plugged in t = 10, then,
A(t) = -1.4t+96
A(10) = -1.4(10)+96
A(10) = -14 + 96
A(10) = 82
Telling us that a temperature of 10 degrees F would have a predicted or estimated usage of roughly 82 gallons of oil. This points to choice A being one of the answers.
The other temperature values are handled the same way. Choice B is false because t = 15 does not lead to A(t) = 85. Instead, it's A(15) = 75 meaning it's 10 degrees off the mark.
Choice C is true though. Plugging t = 68.5 into A(t) leads to A(t) = 0.1 which rounds to 0 assuming we're only worried about whole numbers. If your teacher is considering decimal values, then choice C is unfortunately false. For now I'll assume your teacher wants you to round.
If we tried t = 55, then we'd get A(15) = -1.4*55+96 = 19 which is not 5 as we'd want. This rules out choice D.
Lastly, plug in t = 0 to find that A(t) = 96. This leads to choice E being one of the answers.
For the graph attached statements A, C and E are true.
Function that fits the given data in the graph,
A(t) = -1.4t + 96Here, t = temperature in Fahrenheit
A(t) = Oil used in gallons
By substituting the value of 't' in the equation we can get the amount of oil used A(t) to heat the house.
Option A
By substituting t = 10°F,
A(10) = -1.4(10) + 96
= 82 gallons
Therefore, statement is true.
Option B
For t = 15°F,
A(15) = -2.4(15) + 96
= 60 gallons
Statement is False.
Option C
For t = 68.5°F
A(5) = -1.4(68.5) + 96
= 0.1 gallons
≈ 0 gallons
Statement is True.
Option D
For t = 55°F,
A(55) = -1.4(55) + 96
= 19 gallons
Statement is False.
Option E
For t = 0°F
A(0) = -1.4(0) + 96
= 96 gallons
Statement is true.
Therefore, statements given in options A, C and E are True.
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Help meeeeeeeeeeeeeeeeeeeeee
Answers
Step-by-step explanation:
the answer is in the above image
use the app
WOLFRAM ALPHA it helps a lot
Answer:
\( \frac{1}{ 2^{1} } + \frac{1}{ {3}^{2} } + \frac{1}{ {4}^{3} } + \frac{1}{ {5}^{4} } + ... \\ \frac{1}{2} + \frac{1}{9} + \frac{1}{64} + \frac{1}{625} + ... \\ = \frac{226201}{360000} \\ = 0.6283..\)
Point A is at (5, 6) on the coordinate plane. It is reflected over the y-axis to create point B. Point A is then reflected over both axes to create point C. What is the area of the triangle that results from connecting the three points?
Answers
The area of the triangle which is formed as described is; 60.
What is the area of the triangle formed?According to the task content, when Point A(5,6) is reflected over the y-axis, the point B formed is; (-5,6) and when reflected over both axis, the point C formed is; (-5,-6).
It therefore follows that the length of segments AB and BC which represents the base and height of the triangle formed are; 10 and 12 respectively.
Therefore, the area of the triangle is; (1/2) × 10 × 12 = 60.
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−15⋅2−0.5x=−90
What is the solution of the equation?
Round your answer, if necessary, to the nearest thousandth.
Answers
The solution of the equation to the nearest thousandth is 149.600
The solution to the equation -15.2 - 0.5x = -90 can be solved by collecting the like terms to a side and solving, followed by expressing the solution in terms of x.
It implies that:
-15.2 - 0.5x = -90 becomes;-15.2 + 90 = 0.5x74.8 = 0.5xMaking x the subject of the formula, we have:
\(\mathbf{x = \dfrac{74.8}{0.5}}\)x = 149.6To the nearest thousandth;
x = 149.600Learn more about linear equations here:
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Find the perimeter of the figure
Answers
Answer:
20 m
Step-by-step explanation:
For the perimeter, add all the sides together:
4 + 6 + 3 + 5 + 2 = 20 m
Answer:
Step-by-step explanation: Perimeter of figure is = sum of all sides
= 6m+3m+5m+2m+4m
= 9m+7m+4m
= 16m+4m
= 20m
6x^2+7+x-x^2 what is this ?
Answers
Answer:
5x^2 + x + 7.
Step-by-step explanation:
6x^2 + 7 + x - x^2
= (6x^2 - x^2) + (x + 7) // Rearranging the terms
= 5x^2 + x + 7
So, 6x^2 + 7 + x - x^2 simplifies to 5x^2 + x + 7.
help please!! m=5 and n=2. 2m-5n!
Answers
Step-by-step explanation:
so, what's the problem ?
it's all there, we only need to take the calculator (or simply our heads) and do the calculation :
2×5 - 5×2 = 10 - 10 = 0
you see ? that was all that was needed.
put the given values for the variables into the places of these variables, and then calculate !
that is what variables are for : placeholders for actual values.
HELLPP PLEASE OMGG I WILL GIVE YOU ALL MY POINTSS
Answers
Answer:
I believe it is $60
Step-by-step explanation:
She had $10. Her mom gave her $30 more. Her dad had given her $30.Her aunt and uncle gave her $100 more. She had another $20. It gives you the hints in the text.
Hope this helps!
Answer:
i can see it
Step-by-step explanation:
55
At a restaurant, the bill comes to $65. If you decide to leave a 11% tip, how much is the tip?
$
Give dollars and cents (like 1.23)
Answers
Answer:
Step-by-step explanation:
To find the tip, we first need to calculate 11% of the bill amount, which is:
0.11 x $65 = $7.15
Therefore, the tip is $7.15.
Answer:
$7.15
Step-by-step explanation:
Syep by step picture attached
three candidates sat for mathematics examination and their probabilities of passing are 4/5,3/5 and 2/5.find the probability that at least one passed?
Answers
hksjhuja kanhshke kkajbevbeks jjsbbwne k
2.Given that R is the midpoint of segment AX, write an equation if AR = 5x - 15 andRX = 3x + 1. Then find AR, RX, and AX.3.The endpoints of a segment are (-3,4) and (5, -8). Find the length of the segment tothe nearest tenth and then find the coordinates of the midpoint.
Answers
Answer:
2.
Equation: 5x - 15 = 3x + 1
AR: 25
RX: 25
AX: 50
3.
The length of the segment is of 14.4 units.
The coordinates of the midpoint are (1,-2).
Step-by-step explanation:
2.
Since R is the midpoint of segment AX, we have that:
AR = RX
So
5x - 15 = 3x + 1
5x - 3x = 1 + 15
2x = 16
x = 16/2
x = 8
AR = 5x - 15 = 5*8 - 15 = 40 - 15 = 25
AR = RX = 25
AX = AR + RX = 25 + 25 = 50
3.
To find the length of a segment, we find the distance between their endpoints. The distance between points (x1,y1) and (x2,y2) is given by:
\(D=\sqrt[]{(x2-x1)^2+(y2-y1)^2}\)The midpoint of a segment is the mean of the coordinates of their endpoints.
Length of the segment:
Segment between points (-3,4) and (5,-8). So
\(D=\sqrt[]{(5-(-3))^2+(-8-4)^2}=\sqrt[]{8^2+12^2}=\sqrt[]{208}=14.4\)The length of the segment is of 14.4 units.
Coordinates of the midpoint:
Midpoint of (-3,4) and (5,-8).
x-coordinate:
(-3+5)/2 = 2/2 = 1
y-coordinate:
(4-8)/2 = -4/2 = -2
The coordinates of the midpoint are (1,-2).
What percent larger is 20.49 trillion to 13.4 trillion
Answers
The answer of the given question based on the percent is , 20.49 trillion is about 52.84% larger than 13.4 trillion.
What is Percentage?Percentage is a way of expressing a quantity or value as a fraction of 100. It is a widely used method for describing proportions, rates, changes, and comparisons in various fields such as mathematics, economics, statistics, science, and everyday life. The term "percent" literally means "per hundred", and it is represented by the symbol "%". To convert a number to a percentage, we multiply it by 100 and add the symbol "%".
To find the percent larger that 20.49 trillion is to 13.4 trillion, we can use the following formula:
Percent change = (New value -Old value) /Old value * 100%
Plugging in the values we have:
Percent change = (20.49 trillion - 13.4 trillion) / 13.4 trillion * 100%
= 7.09 trillion / 13.4 trillion * 100%
= 52.84%
Therefore, 20.49 trillion is about 52.84% larger than 13.4 trillion.
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"What is the rest wavelength of an emission line observed at 2148 nanometers in a galaxy 100
Megaparsecs away from the Milky Way? Your answer should be significant to four digits."
Answers
The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.
The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.
In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.
Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.
The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.
To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)
Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.
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Write an expression for the area of each section of the wall.
***NOTE, that x is the TOTAL length of the rectangle so you can't call x the length of each of the 5 sections.
Answers
Answer:
50
Step-by-step explanation:
10*5=50
Please help!!!! It’s urgent
Which of the following rational functions is graphed below?
-10
10-
-10
1
A. F(x) = 1/x(x+3)
B. F(x)= x/x+3
C. F(x)= 3/x
D. F(x)= 1/x(x-3)
Answers
Answer:
the answer is D. F(x) = 1/x(x-3)
Step-by-step explanation:
Which of the scenarios below are considered seller-based discounts? options are in the picture
Answers
The scenarios that can be considered a seller-based discount are:
A. The offer by Wire and Cable
B. Carfna's Fine Foods
C. Mouser Electronics offer
E. Carchex Car Maintenance
What is a seller-based discount?A seller-based discount is a discount that is offered by a seller for the early purchase of a product. The goal of the seller in this case is to get cash as he or she is in an immediate need for cash.
The most outstanding example is that of Carchex Car Maintenance where an offer is made by the seller for the early purchase of products.
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