Answers
Answer:
1. (-2,-5) (-1,-1) (0,3) (1,7) (2,11)
2. (-8,-4) (-4,-3) (0,-2) (4,-1) (8,0)
3. (-4,3) (-2,2) (0,1) (2,0) (4,-1)
4. (-2,-1) (-1,2) (0,5) (1,8) (2,11)
Step-by-step explanation:
1. Slope = (11-7)/(2-1) = 4/1 = 4/1
y-intercept: 7 - (4)(1) = 3
Start in the vertical line (y) on 3, 4 up and 1 to the right (you need to points to trace a line)
2. Slope = (0- - 2)/(8-0) = 1/4
y - intercept = -2-(1/4)(0) = -2
Start on -2 vertical line, 1 up and 4 to the right.
3. Slope = (1-0)/(0-2 = -1/2
y-Intercept: 0 - (-1/2)(2)=1
Start on 1 vertical line then 1 down and two to the right (the slope is negative, the line goes downhill)
4. Slope: (8-1)/(1-0) = 7/1
y-intercept = 1 - (7)(0) = 1
Start on 1 vertical line (y) , seven up and 1 to the right.
Related Questions
Evaluate the algebraic expression if w= -0.5, x = 2, y= -3, and z = 2.5.
2w^2 - 3x + y - 8z
Answers
Answer:
-28.50
Step-by-step explanation:
Given the algebraic expression, 2w² - 3x + y - 8z, where w = -0.5, x = 2, y= -3, and z = 2.5:
Substitute the given values for the variables to evaluate the algebraic expression.
2w² - 3x + y - 8z
= 2(-0.5)² - 3(2) + (-3) - 8(2.5)
= 2(0.25) - 6 - 3 - 20
= 0.50 - 6 - 3 - 20
= -28.50
Therefore, 2w² - 3x + y - 8z = -28.50.
Answer:
-28.5
Step-by-step explanation:
Substitute the values for their given variables and evaluate.
[tex]2w^2-3x+y-8z\\\\2(-0.5)^2-3(2)+(-3)-8(2.5)\\\\2(0.25)-6-3-20\\\\0.5-6-3-20\\\\-28.5[/tex]
Find the absolute maximum and minimum values of the following function on the given region R. f(x,y)=5x2+5y2−10x+21; R=(x,y): x2+y2≤4, y≥0
Answers
We first compute the partial derivatives of f(x, y):
f(x, y) = 5x² + 5y² - 10x + 21
∂f/∂x = 10x - 10
∂f/∂y = 10y
The critical points of f occur where both ∂f/∂x and ∂f/∂y are equal to zero. This only happens at the point (x, y) = (1, 0). (And this point does lie inside R.)
Next, compute the Hessian matrix H(x, y) for f :
[tex]H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2 f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}10&0\\0&10\end{bmatrix}[/tex]
Since det(H(x,y)) = 100 is positive for all x and y, this means the critical point (1, 0) is a local minimum, and we have f(1, 0) = 16.
Next, we check for extrema along the boundary of R, which is comprised of a semicircle with radius 2 and the line segment connecting (-2, 0) and (2, 0).
• Parameterize the semicircular portion by
x(t) = 2 cos(t)
y(t) = 2 sin(t)
with 0 ≤ t ≤ π. Then
f(x(t), y(t)) = 20 sin²(t) + 20 cos²(t) - 20 cos(t) + 21
which is simplifies to a function of one variable t,
g(t) = 41 - 20 cos(t)
Find the extrema of g over the interval [0, π] : we have critical points when
g'(t) = 20 sin(t) = 0
which happens at t = 0 and t = π. At these points, we get local extreme values of
•• t = 0 => x = 2 and y = 0 => f(2, 0) = 21
•• t = π => x = -2 and y = 0 => f(-2, 0) = 61
• Over the line-segment portion, we take y = 0, so f(x, y) again reduces to a function of one variable:
f(x, 0) = 5x² - 10x + 21
Completing the square, we have
5x² - 10x + 21 = 5 (x - 1)² + 16
which has a maximum value of 16 when x = 1 (and this happens to be the critical point (1, 0) we found earlier).
So, over the region R, f(x, y) has
• an absolute maximum of 61 at the point (-2, 0), and
• an absolute minimum of 16 at (1, 0)
Solve the equation for x:
x2 = 196
Answers
Answer: x= 1/196
Step-by-step explanation:
to pass this school year i need more time on my computer, more time on edmentum, the thing is im all caught up with my work and all i need is to find a way to get more time, if someone could find out how long it takes before im "off task" so i can just touch my computer to start the time again, or if theres a different way plz plz lmk
Answers
Answer:
you could start by making a definite timetable for yourself and try to get away so as to differentiate the time between your work your Edmonton and a time is spending a computer don't try to spend much more time when your computer because it's mainly due to procrastinating in during other work
On a sunny day, Jameson casts a shadow of 11 feet and the lamppost in the parking lot casts a shadow of 66 feet. If Jameson is 6 feet tall, how tall in the lamppost?
Answers
Answer:
36 feet
Step-by-step explanation:
shadow/height = shadow/height
11/6 = 66/h
h = 66 * 6 / 11
h = 36
Choose the equation that is best represented by the graph.
Answers
Answer:
D
Step-by-step explanation:
Because the y-intercept is -3
What is 20% of $1575.00
Answers
step:
20% = 20/100
of = ×
20/100 × $1575.00
answer : $315
Step:
20% = 20/100
of = ×
20/100 × $1575.00
Answer : $315
Please help if you can I'll even give you a brainiest answer.
Answers
How I god the answer- to find the outline, add 2+2+16+17+17= 54. Then take the 54 and divide by 8= 6.75. Then multiply 6.75x1.50= $10.12
Original price of a comics book $2.95 Discount 10% Tax 5%
Answers
Answer:
The price of the comic book would be $2.79 after the discount and the tax.
We first take 10% of 2.95 or 0.295 from 2.95 to get our first value of 2.66.
Then we add 5% of 2.66 or 0.133 back to 2.66 to get our last value of 2.79.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer.
If the spectator has an angle of 115° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole?
hole?
25.6°
39.4°
64.3°
65.0°
Answers
Using the law of sines, it is found that the angle that the golfer has between the spectator and the hole is of 25.6º.
What is the law of sines?Suppose we have a triangle in which:
The length of the side opposite to angle A is a.The length of the side opposite to angle B is b.The length of the side opposite to angle C is c.The lenghts and the sine of the angles are related as follows:
[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]
Hence, in this problem, we have that:
[tex]\frac{\sin{115^\circ}}{200} = \frac{sin{x}}{140}[/tex]
[tex]sin{x} = \frac{140\sin{115^\circ}}{200}[/tex]
[tex]x = \arcsin{0.6344}[/tex]
x = 39.4º.
Considering that the sum of the internal angles of the triangle is of 180º, the angle that the golfer has between the spectator and the hole is given by:
A = 180 - (115 + 39.4) = 25.6º.
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Answer:
25.6
Step-by-step explanation:
I got it right
P(E') = P(F) = 0.6 and P(E n F) = 0.24:
a. Write down P(E).
b. Explain how you know E and F:
i are independent
ii are not mutually exclusive
c Find P(E u F').
Answers
Answer:
(4- x)(x - 4) = 16 - x2 help me sir please
please help :,) it’s due tomorrow and i’m so confused
Answers
I cant really interpret it for you, but here's what all the numbers mean in context:
Constant
Coefficient
This is the y-intercept of the regression line. With 0 wins, this model predicts that there will be 10834 attendants.The other 3 values for the constant can usually be ignored.
Wins
Coefficient
This is the slope of the regression line. For every win, this model predicts that there will be an additional 235 attendants.SE Coefficient
This is the standard error of the slope. If the data were to be collected again, you would expect the slope to vary by about 119. This also means about 68% of samples should be between 235 ± 119, or between 116 and 354. The same would apply for 95% between 2 standard errors away, and 99.7% between 3 standard errors away.T-value
Quoting minitab's blog here, "The t-value measures the size of the difference relative to the variation in your sample data."This is equal to the coefficient divided by the standard error of the coefficient: [tex]\frac{235}{119} =1.98[/tex].This t-value is calculated only on this sample, and would differ on another sample from the same population.The t-value is also directly linked to the p-value below.Before moving on, I'll use these hypothesis:
H₀ slope = 0 (null hypothesis, there is no relationship between the variables)H₁ slope ≠ 0 (alternative hypothesis, there is a relationship)P-value
This is the probability of getting a t-value farther away from 0 than our t-value (1.98).The p-value can be calculated from the t-value and the degrees of freedom (number of samples) depending on if this is a one-tailed or two-tailed test.The p-value of 0.058 here is greater than the common alpha value of 0.05 (95%, below), so we cannot reject the null hypothesis, suggesting that there is no statistically significant relationship between wins and attendants. It's close though, and with a slightly lower confidence interval like 0.06 (94%), we can reject the null hypothesis and conclude that there is a statistically significant relationship.Alpha value
The alpha value is a threshold used to judge if the test value is statistically significant.An alpha value of 0.05 is the most common, and this is a 95% confidence level, meaning you are 95% confident that the test results are accurate.Other things
S
This is the standard deviation of the residuals. 68% would fall within 7377 away from the line, 95% would fall within 14754, etcR²
This is the proportion of the variance that can be explained by the predictor. r² = 12.29% means only 12.29% of the variation in attendance can be explained by the number of wins.Adjusted R²
This one doesn't make too much sense to me in this context. An adjusted r² typically looks at whether any additional predictor variables are contributing to the predictions, but there are no additional predictors here, just wins.Conclusion
Based on all that information, I wouldn't say attendances are influenced by the number of wins. The high p-value, high standard error, and low r² all contribute to my conclusion. Especially looking at the p-value, assuming a common alpha value of 0.05, the relationship between wins and attendances is not statistically significant. It's likely that the positive slope is due to an unknown 3rd variable that influences both attendances and wins, like the popularity of the baseball team. A more popular baseball team is more likely to be skilled, and therefore, a more popular baseball team will get more wins. A more popular baseball team will also obviously have more attendees.
However, if all you have to do is just interpret the slope all on its own, then you could say that the positive slope of the regression line means more wins = more attendees.
Sarah mowed 3 lawns in 9 hours what is her rate of mowing in hours per lawn?
Answers
Answer:
Sarah mowed 1 lawn in 3 hours
Step-by-step explanation:
3 lawns divided by 3 is 1 lawn
9 hours divided by 3 is 3 hours
Answer:
See below:
Step-by-step explanation:
So we know that she moves 3 lawns in 9 hours, to find how much time she takes per lawn we can divide both sides by three to get our number. We can do this due to the reason below:
[tex]\frac{3}{9}=3:9[/tex]
Due to this, we can simplify both sides by 3 and get our rate of 1 lawn per 3 hours.
Have a nice day and feel free to ask me if you need more help :D
What is the least common denominator of
1/3 and 7/9
Answers
Answer:
9
Step-by-step explanation:
9 is the LCD. So you have to multiply 3 by 3 to get 9, so multiply the numerator (1) by 3. 3/9 is the answer to that.
Can someone please help me
Answers
Answer: i don''t know the answer im sorry i hope someone helps you :)
Step-by-step explanation:
6. A quadratic function has a minimum at (6,-2) and an x-intercept at (10,0).
What is the other x-intercept?
Answers
Answer:
(2,0)
Step-by-step explanation:
The minimum is 4 units from the x intercept on the x axis.
Since this is a quadratic, values on the same y should be equidistant from the min or max on the x axis.
6+4=10
6-4=2
The other x intercept is at (2,0)
4. Ms. Bragg is giving a test worth 100 points. The test contains a total of 40 questions. Some questions are worth 2 points and some questions are worth 4 points on the test. Write a system of equations to determine how many of each type of question are on the test. A) Define your variables. You can use any letters you want) B) Write your system of equations. (There should be 2 separate equations)
Answers
9514 1404 393
Explanation:
A)
Let t and f represent the numbers of two-point and four-point questions, respectively.
__
B) The number of points for each type of question is the product of the point-value per question and the number of questions of that type.
2t + 4f = 100 . . . . . the test is worth 100 points
t + f = 40 . . . . . . . . there are 40 questions on the test
_____
Additional comment
The test will have 30 two-point questions and 10 four-point questions.
Need the answer to this pls
Answers
Answer:
0
Step-by-step explanation:
1. First, we should know the slope-intercept form of any equation: y = mx + b.
y = y-coordinatem = slopex = x-coordinateb = y-intercept2. In the equation y = -2/3(x), it appears that the variables we can see are y, m, and x. However, the y-intercept, b, is still there with the value of 0.
Additionally, this is a proportional relationship because it follows the format y = kx. Proportional relationships always have a y-intercept of 0.Therefore, the y-intercept is 0.
A submersible is a type of underwater vessel. Suppose a submersible starts at a depth of 40 feet below sea level, represented by –40 feet. The table shows the submersible's change in depth from one minute to the next.
Answer the questions to find the depth of the submersible after 3 minutes.
1. Write and evaluate a subtraction expression to find the depth of the submersible at 2:16 p.m. (2 points)
2. Write and evaluate a subtraction expression to find the depth of the submersible at 2:17 p.m. (2 points)
3. Write and evaluate a subtraction expression to find the depth of the submersible at 2:18 p.m. (3 points)
4. If the submersible dove straight down, what is the distance between the submersible's starting position at 2:15 and its position at 2:18? Show your work. (3 points)
Answers
1. -40 - 180 = -220
2. -40 - 175 = -135
3. -40 - 185 = -225
4. 2:15 = -40
2:18 = 185
distance b/w them is = -40 - 185 = - 225
hope this answer helps you dear! btw I'm not sure but hope so this helps...!!
I agree with the first person that answered.
What is the quotient of 0 and 15?
15
-15
0
Undefined
Answers
ANSWER :
it's 0Step-by-step explanation:0 / 15 = 0 + 0/15 = 0
PLEASE HELP WITH THIS ONE QUESTION
Answers
Answer:
Shift 7 units down
Step-by-step explanation:
Shift 7 units down
Find the values of x and y.
X =
y =
Answers
Answer:
y=5
x=45
Step-by-step explanation:
I am not quite sure of x but I am positive for the value of y
(5x-7)^2-1=8 solve for x
Answers
Answer:
[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex] or [tex]x = 2[/tex]
Or:
[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex] or [tex]x = \frac{4}{5}[/tex]
Step-by-step explanation:
Step 1 - Simplify by expanding the brackets:
[tex](5x - 7)^2\\(5x - 7)(5x - 7)\\25x^2 - 35x - 35x + 49\\25x^2 - 70x + 49 - 1\\25x^2 - 70x + 48 = 8[/tex]
Step 2 - Subtract 8 from both sides so the equation equals 0:
[tex]25x^2 - 70x + 48 - 8 = 8 - 8\\25x^2 - 70x + 40 = 0[/tex]
Step 3 - Use the quadratic formula:
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\a = 25\\b = -70\\c = 40[/tex]
Plug variables in:
[tex]\frac{-(-70) +- \sqrt{(-70)^2 - (4 * 25 * 40)} }{2 * 25}[/tex]
[tex]\frac{70 +- \sqrt{4900 - 4000} }{50}\\\\\frac{70 +- \sqrt{900} }{50}\\[/tex]
So x is either:
[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex]
[tex]x = 2[/tex]
Or:
[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex]
[tex]x = \frac{4}{5}[/tex]
Hope this helps!
A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). If each window is 3 feet by 5 feet, determine the area of the space to be painted.
Answers
Answer:Measure length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length.
Step-by-step explanation:
The required area that is to be painted is given as 150 square feet.
Given that,
A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). each window is 3 feet by 5 feet,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Area of the wall = 12 × 15 = 180 square feet
Area of the two windows, = 2 × 3 × 5 = 30 square feet
Area to be painteded = 180 - 30 = 150 square feet,
Thus, the required area that is to be painted is given as 150 square feet.
Learn more about simplification here:
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A chemist has three different acid solutions. The first acid solution contains 20 % 20% acid, the second contains 30 % 30% and the third contains 60 % 60% . They want to use all three solutions to obtain a mixture of 90 90 liters containing 35 % 35% acid, using 2 2 times as much of the 60 % 60% solution as the 30 % 30% solution. How many liters of each solution should be used
Answers
Answer:
Step-by-step explanation:
37,4gam
A cable is 40 decimeters long. How long is the cable in meters?
Be sure to include the correct unit in your answer.
Answers
Answer:
4 Meters
Step-by-step explanation:
Formula
divide the length value by 10
PLEASE HELP WITH THIS ONE QUESTION
FACTOR THE FOLLOWING COMPLETELY:
Answers
Where a = 4x^4 and b=y²
=(4x^4 +y²)(2x²+y)(2x² - y)
5(x+6)-8x=3(10-x)n no solution, one solution, or all real numbers are solutions
Answers
Answer:
Infinite, any number
Step-by-step explanation:
Simplify
30 - 3x = 30 - 3x
itements are true.
Choose all answers that apply:
The equation represents a proportional relationship.
B
The unit rate of change of y with respect to z is 1.4.
o
5
The slope of the line is
7
50
A change of 2 units in I results in a change of 2.8 units in y.
-pts
A change of 3 units in a results in a change of 1.2 units in y.
Answers
All the statements that are true as regards the proportional relationship of the graph are;
A. The equation represents a proportional relationship
B. The unit rate of change of y with respect to x is 1.4
C. The slope of the line is 7/5
D. A change of 2 units in x results in a change of 2.8 units in y
What is the proportional relationship of the graph?The slope intercept form of the equation of a straight line is;
y = mx + b
where;
m is the slope.
b is the y-intercept.
Since the equation is given as y = 1.4x, then the slope is 1.4 and the y-intercept is 0.
A. The equation represents a proportional relationship;
This is true since the equation because y is always 1.4 times as large as x from the given equation relationship.
B. The unit rate of change of y with respect to x is 1.4;
This is true because when we divide both sides by 1.4, we will get;
y/x = 1.4
C. The slope of the line is 7/5;
This means that the slope is 7/5 = 1.4. This is same as the slope given and it is true.
D. A change of 2 units in x results in a change of 2.8 units in y;
This means that the slope is 2.8/2 = 1.4. This is same as the slope given and it is true.
E. A change of 3 units in a results in a change of 1.2 units in y;
This means that slope = 1.2/3
This is not equal to our given slope and so is not true.
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What is the quotient of -9 Divided by 3 ?
Answers
-9 divided by 3
Is -3
[tex]\huge\text{\bf Hey there!}[/tex]
[tex]\large\text{\bf Guide to remember}\downarrow\\\large\textsf{2 negatives = positive}\\\large\textsf{1 negative \& 1 positive = negative}\\\large\textsf{2 positives = positve}\\\large\textsf{1 positive \& 1 negative = negative}[/tex]
[tex]\large\text{This means your answer will most likely be a \boxed{\text{negative}} because}\\\large\text{you have a negative number (-9) \& a positive number (3).}[/tex]
[tex]\large\boxed{\mathsf{-9 \div 3}}\\\large\boxed{\mathsf{= \dfrac{-9}{3}}}\\\large\boxed{\mathsf{= \dfrac{-9\div3}{3\div3}}}\\\large\boxed{\mathsf{= \dfrac{-3}{1}}}\\\large\boxed{\mathsf{= -3\div 1}}\\\large\boxed{\mathsf{= -3}}\\\\\\\\\\\huge\boxed{\text{Therefore. your answer is: \boxed{\textsf 3}}}\huge\checkmark[/tex]
[tex]\huge\text{\bf Good luck on your assignment \&}\\\huge\text{\bf enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]