in the xy plane ,the graph of f(x)=x^2 is intersected by five lines parallel to the x axis. what is the sum of the x coordinates of the points of intersection of the five lines with the graph of f
Answers
Answer:
Step-by-step explanation:that is,have them in this form:y = mx + b.Set the two equations for y equal to each other.Solve for x.This will be the x- coordinates for the point of intersection.
Related Questions
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
Answers
B) The angle between vectors v and w can be found using the formula: cos(theta) = (v • w) / (||v|| ||w||), where ||v|| and ||w|| are the magnitudes of vectors v and w respectively.
First, we need to find ||v|| and ||w||:
||v|| = sqrt((-3)^2 + (-4)^2) = 5
||w|| = sqrt((6)^2 + (8)^2) = 10
Now, we can substitute in the values to get:
cos(theta) = (-50) / (5 * 10) = -1
theta = arccos(-1) = pi radians or 180 degrees.
Therefore, the angle between vectors v and w is 180 degrees.
C) Two vectors are parallel if their directions are the same, which can be determined by comparing their unit vectors.
The unit vector of v is:
v_hat = v / ||v|| = (-3/5)i + (-4/5)j
The unit vector of w is:
w_hat = w / ||w|| = (6/10)i + (8/10)j = (3/5)i + (4/5)j
We can see that the unit vectors are in opposite directions, which means that the vectors are anti-parallel or opposite. Therefore, the vectors v and w are neither parallel nor orthogonal.
What would the circumference of a circle be with a diameter of 15 cm? Use 3.14 for pi.
Answers
Answer:
47.1cm²
Step-by-step explanation:
diameter=15cm
circumference of circle= d×3.14
circumference=15×3.14
circumference=47.1
Makeeya only has $25 to spend on a custom T-shirt. It costs $10 for a plain T-shirt, and there is a charge of $$1.50 for each square inch of design added to the T-shirt. Which solution represents the number of square inches of design,x , Makeeya can put on her T-shirt?
Answers
Answer:
10 square inches
Step-by-step explanation:
cost of a plain t-shirt = $10
cost of 1 square inch of design addition = $1.50
let there be x square inches of design
then cost of x square inches of design = x*cost of 1 square inch of design
= 1.50*x = 1.5x
Total cost for t-shirt with x square inches of design = cost of a plain t-shirt + cost of x square inches of design = 10 + 1.5 x
It is given that Makeeya has only $25, then total cost which can be afforded by him will be $25 only
Thus,
10 + 1.5 x = 25
=> 1.5x = 25-10 = 15
=> x = 15/1.5 = 10
Thus, Makeeya can put 10 square inches of design on her T-shirt.
A graphing calculator is more likely to be correct than if we do it be hand. When doing it by hand, we could have minor algebra errors that could change the final answer. However, the calculator has built-in algorithms that could solve the system of equations quickly and accurately.
Answers
Answer:
When we do it by hand we also learn to understand it better. The calculator is in fact faster and more accurate, but it doesnt teach anything
I wasnt sure what you were asking, hope this helps!
PART B
Tim's upcoming move will span 250 miles. Which company should he hire? Explain how you found your
answer.
Answers
For upcoming trip. Tim should hire company A
What is linear equation?A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.
Given,
Distance to cover = 250 miles
For company A
By the graph line passes through
(200, 200) , (0,150)
equation of the line,
y-150 = [(200-150)/(200-0)](x-0)
y-150 = [50/200] x
y = x/4 + 150
y = 0.25 x + 150
No. of miles = 250
y = 0.25×250 + 150
y = 62.5 + 150
y = $212.5
Price for company B
y' = 0.75x + 50
where x is number of miles
for 250 miles price of company B
y' = 0.75 × 250 + 50
y' = 187.5 + 50
y' = $237.5
∵ y < y'
∴Price of trip with company A is less than company B
Hence, Tim should hire Company A for upcoming trip.
Learn more about linear equation here:
https://brainly.com/question/29739212
#SPJ1
Hi can you help me solve this problem and find the correct solution?
Answers
SOLUTION:
Step 1;
In this question, we are given the following:
Step 2:
The details of the solution are as folows:
CONCLUSION:
The final answer is:
\(\begin{gathered} x\text{ = 13. 8 feet } \\ (\text{ correct to the nearest tenth of a foot\rparen} \end{gathered}\)
An envelope is 6 in. Wide and 4 in. High. Will a card with an 8 in. Diagonal fit in it? identify the correct explanation.
Answers
The card will not fit on the envelope, because the diagonal of the envelope is smaller than the diagonal of the card.
Will the card fit in the envelope?Remember that for a rectangle of length L and width W, the diagonal is given by:
d = √(L² + W²)
The card will fit on the envelope only if the diagonal of the card is smaller than the diagonal of the envelope, we know that the envelope is 6in by 4 in, then its diagonal is:
d = √(6² + 4²)
d = √(36 + 16)
d = √52 = 7.2
This is smaller than the diagonal of the card, so the card will not fit on the envelope.
Learn more about rectangles at:
https://brainly.com/question/17297081
#SPJ1
Use the piecewise function below to evaluate the points f(–3), f(0), and f(–1).
{9x,x−4,x<−1x≥−1
Question 17 options:
f(–3) = –7, f(0) = –0, and f(–1) = 5
f(–3) = –27, f(0) = –4, and f(–1) = 5
f(–3) = –7, f(0) = –4, and f(–1) = –1
f(–3) = –27, f(0) = –4, and f(–1) = –5
Answers
Given:
The piecewise function is:
\(f(x)=\begin{cases}9x & \text{ if } x<-1 \\ x-4 & \text{ if } x\geq -1 \end{cases}\)
To find:
The values of \(f(-3),f(0), f(-1)\).
Solution:
In the given piecewise function,
\(f(x)=9x\) for \(x<-1\) and \(f(x)=x-4\) for \(x\geq -1\).
Putting \(x=-3\) in \(f(x)=9x\), we get
\(f(-3)=9(-3)\)
\(f(-3)=27\)
Putting \(x=0\) in \(f(x)=x-4\), we get
\(f(0)=0-4\)
\(f(0)=-4\)
Putting \(x=-1\) in \(f(x)=x-4\), we get
\(f(-1)=-1-4\)
\(f(-1)=-5\)
The required values are \(f(-3)=27,f(0)=-4,f(-1)=-5\).
Therefore, the correct option is D.
2. They want to rent a bounce house. If the bounce house costs $18.75 an hour and they want to rent it for 8 hours, how much will they spend?
Answers
Answer:
$150
Step-by-step explanation:
$18.75 × 8 hours = 150
Answer:
they will spend $150
Step-by-step explanation:
18.75x8=150
1. Write a polynomial of degree 3 with zeros
x = 3,x= -4, and x = 5.
Answers
The polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5 is P(x) = x^3 - 4x^2 - 17x + 60.
To construct a polynomial of degree 3 with zeros at x = 3, x = -4, and x = 5, we can use the fact that the polynomial can be written as a product of linear factors corresponding to each zero.
The factor corresponding to x = 3 is (x - 3).
The factor corresponding to x = -4 is (x + 4).
The factor corresponding to x = 5 is (x - 5).
To obtain the polynomial, we multiply these factors together:
P(x) = (x - 3)(x + 4)(x - 5)
Expanding this expression gives us:
\(P(x) = (x^2 - 3x + 4x - 12)(x - 5)\)
\(= (x^2 + x - 12)(x - 5)\)
\(= x^3 - 5x^2 + x^2 - 5x - 12x + 60\)
\(= x^3 - 4x^2 - 17x + 60\).
For similar question on polynomial.
https://brainly.com/question/2833285
#SPJ11
Determine whether descriptive or inferential statistics were used in the statement. in 2008, the average credit card debt for college students was $3173. (source: newser)
Answers
The collection, description, analysis, and drawing of conclusions from quantitative data are all included in the area of statistics, which is a branch of applied mathematics. Probability theory, linear algebra, and calculus of differential and integrals are some of the core mathematical concepts in statistics.
Descriptive statistics were used in the statement.
Descriptive statistics is a branch of statistics that deals with the collection, presentation, and summary of data. It is used to describe and summarize the main features of a data set, such as measures of central tendency (e.g., mean, median, mode) and measures of dispersion (e.g., range, variance, standard deviation).
In this case, the statement is simply reporting a single value, the average credit card debt for college students in 2008. This is an example of a descriptive statistic because it is a summary measure that describes a characteristic of the population or sample under study.
To know more about statistics visit:
https://brainly.com/question/29093686
#SPJ1
Descriptive statistics were used in the statement.
What is descriptive statistics?Descriptive statistics is a branch οf statistics that deals with the analysis, descriptiοn, and summarizatiοn οf data. It invοlves the use οf variοus statistical measures, such as measures οf central tendency (mean, median, and mοde), measures οf dispersiοn (standard deviatiοn, variance, range), and graphical representatiοns (histοgrams, bοx plοts, scatter plοts, etc.) tο describe the features οf a dataset.
Descriptive statistics were used in the statement. The statement is simply describing the average credit card debt fοr cοllege students in 2008. Descriptive statistics are used tο describe οr summarize a dataset οr pοpulatiοn, while inferential statistics are used tο draw cοnclusiοns οr make predictiοns abοut a larger pοpulatiοn based οn a sample οf data. Since the statement οnly prοvides infοrmatiοn abοut a specific grοup οf cοllege students in 2008, it dοes nοt invοlve making any inferences οr predictiοns beyοnd this grοup.
Hence, Descriptive statistics were used in the statement.
To learn more about descriptive statistics, visit:
https://brainly.com/question/6990681
#SPJ1
I need these done ASAP! do the properly for brainliest!
Answers
I can answer the slopes
Answer:
1. would have a slope of 2
2. would have a slope of -1.66
3.would have a slope of 0
4. would have a slope of -13
Step-by-step explanation:
(Y2 - Y1) / (X2 -X1)
1. (9-5) / (4-2) = 4 / 2 =2
2. (-5-5) / (3 - -3) = -10 / 6 = 1.66
3. (2 - 2) / (5 - -4) = 0 / 9 = 0
4. (-7 - 6) / (3 - 3) = -13 / 0 = -13
given the function f(x)=11x-22
find f(3)
Answers
Answer:
f(x)=11x-22
f(3)=11(3)-22
11(3)-22
33-22=11
please answer all 3 questions
⦁ Calculate the residuals for your scatterplot in step 2d.
⦁ Create a residual plot for your data.
⦁ Does your residual plot show that the linear model from the regression calculator is a good model? Explain your reasoning.
Answers
The residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326, 0.049, -0.286, -0.161, 0.214, 0.429 and 0.059
How to determine the residuals?The regression equation is given as:
y = 0.005x + 3.111
Next, we calculate the predicted values (y) at the corresponding x values.
So, we have:
y = 0.005 * 4 + 3.111 = 3.131
y = 0.005 * 3 + 3.111 = 3.126
y = 0.005 * 5 + 3.111 = 3.136
y = 0.005 * 3 + 3.111 = 3.126
y = 0.005 * 8 + 3.111 = 3.151
y = 0.005 * 15 + 3.111 = 3.186
y = 0.005 * 10 + 3.111 = 3.161
y = 0.005 * 15 + 3.111 = 3.186
y = 0.005 * 6 + 3.111 = 3.141
y = 0.005 * 6 + 3.111 = 3.141
The residuals are then calculated using:
Residual = Actual value - Predicted value
So, we have:
y = 3.46 - 3.131 = 0.329
y = 2.78 - 3.126 = -0.346
y = 3.2 - 3.136 = 0.064
y = 2.8 - 3.126 = -0.326
y = 3.2 - 3.151 = 0.049
y = 2.9 - 3.186 = -0.286
y = 3 - 3.161 = --0.161
y = 3.4 - 3.186 = 0.214
y = 3.57 - 3.141 = 0.429
y = 3.2 - 3.141 = 0.059
Hence, the residuals of the linear regression equation are 0.329, -0.346, 0.064, -0.326, 0.049, -0.286, -0.161, 0.214, 0.429 and 0.059
See attachment for the residual plot.
The residual plot shows that the linear model from the regression calculator is a good model because the points are not on a straight line
Read more about residuals at:
brainly.com/question/16180255
#SPJ1
By using the trapezoidal rule with 5 ordinates, approximate [sin(x²+1) dx to 4 decimal places.
Answers
Using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.
To approximate the integral [sin(x²+1) dx] using the trapezoidal rule with 5 ordinates, we can use the following formula:
∫[a,b]f(x)dx ≈ [(b-a)/2n][f(a) + 2f(a+h) + 2f(a+2h) + 2f(a+3h) + 2f(a+4h) + f(b)]
where n is the number of ordinates (in this case, n = 5), h = (b-a)/n is the interval width, and f(x) = sin(x²+1).
First, we need to find the interval [a,b] over which we want to integrate. Since no interval is given in the problem statement, we'll assume that we want to integrate over the interval [0,1].
Therefore, a = 0 and b = 1.
Next, we need to find h:
h = (b-a)/n = (1-0)/5 = 0.2
Now, we can apply the trapezoidal rule formula:
∫[0,1]sin(x²+1)dx ≈ [(1-0)/(2*5)][sin(0²+1) + 2sin(0.2²+1) + 2sin(0.4²+1) + 2sin(0.6²+1) + 2sin(0.8²+1) + sin(1²+1)]
≈ (1/10)[sin(1) + 2sin(0.05²+1) + 2sin(0.15²+1) + 2sin(0.35²+1) + 2sin(0.65²+1) + sin(2)]
≈ (1/10)[0.8415 + 2sin(1.0025) + 2sin(1.0225) + 2sin(1.1225) + 2sin(1.4225) + 1.5794]
≈ 0.5047
Therefore, using the trapezoidal rule with 5 ordinates, we approximate the integral [sin(x²+1) dx] over the interval [0,1] to be 0.5047 to 4 decimal places.
Learn more about Trapezoidal Rule at
brainly.com/question/30401353
#SPJ1
Please help on number one I’ve been so stuck
Answers
Answer/Step-by-step explanation:
Ok so x,y. is the first thing you need to know A. 1, -5 = X, -Y.
the number from the x grid goes before the y see the arrows seperating the squares the vertical line is the X any numbers coming off of x go before y ok, x, y.
See the -5, -5 on the bottom right square both of those are negative and since E. is negative (-2, -2) it gets placed in the negative bottom right square ok.
now you see how for some squares there is only 1 number for them well the number on the other side where there is no number is the number. In the top right square there is only 5 on the y line meaning that if u look beyond that and where the other number suppose to be the -5 is there so -5 is the answer for that ok.
(The 0 in the middle is called the "Origin")
Hope this helps! I didn't exactly answer because there's no way to answer without downloading or submitting an image but it wont let me download it for some reason.
Top right square = -5, 5.
C. goes into the top right square
Top left = 5, 5.
B. goes into the top left square
Bottom right square = -5, -5.
E. gets placed in the bottom right square
Bottom left square = 5, -5.
D. gets placed in the bottom left square
A. gets placed in the bottom left square
~ LadyBrain
What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18, ...? a. -1 c. 3 b. -3 d. 30 Please select the best answer from the choices provided
Answers
Answer:
b. -3
Step-by-step explanation:
30 - 3 = 27
27 - 3 = 24
24 - 3 = 21....
Find the sum of the infinite geometric sequence.
If the answer is not an integer, enter it as a fraction in simplest form.
Answers
The sum of the infinite geometric sequence is 3 3/4
How to find the sum of the infinite geometric sequence.From the question, we have the following parameters that can be used in our computation:
The geometric sequence
In the geometric sequence, we have
First term, a = 3/5¹⁻¹
a = 3
Also, we have
Common ratio, r = 1/5
The sum of the infinite geometric sequence is calculated as
Sum = a/(1 - r)
So, we have
Sum = 3/(1 - 1/5)
Evaluate
Sum = 3 3/4
Hence, the sum of the infinite geometric sequence is 3 3/4
Read more about sequence at
https://brainly.com/question/30499691
#SPJ1
HELP IMMEDIATELY, ASAP, INSTANTLY, `NOW!!! THANKS
Which type of graph is often the LEAST accurate? A) a pie chart B) a pictograph C) a bar graph D) a line graph
Answers
Answer:
Pictograph is the least accurate!
Step-by-step explanation:
Because pictographs have specific pictures and you need to divide it specifically whereas other graphs, you can just graph your information and it'll be accurate.
what's the slope of (-3,3) and (-1,2)
Answers
Answer:
Step-by-step explanation:
Slope is defined as
m=(y2-y1)/(x2-x1)
We are given two (x,y) points of (-3,3) and (-1,2) so
m=(3-2)/(-3- -1)
m=1/-2
m=-1/2
if you rotate cars tires at 10,000 miles, if a car tire has 25,200 rotations per day, how many weeks will it be until you rotate the tires
Answers
It will take 4. 09 weeks for the tires to be rotated at the current rate.
How to find the time till rotation ?When rotating a car's tires every 10,000 miles, each tire must complete this distance before being moved.
25, 200 rotations / day x 7 days / week = 176, 400 rotations per week
To solve this predicament, dividing 10,000 miles by the number of rotations/mile (which equates to the tire's circumference) is necessary. The formula for calculating a tire's circumference can aid in obtaining this number along with the weeks required to perform the rotation process:
C = 2πr
Rotation per mile is:
1 mile / 87.96 inches / rotation = 72.26 rotations / mile
Number of weeks:
10, 000 miles x 72. 26 rotations / mile = 722, 600 rotations
722, 600 rotations / 176, 400 rotations/week = 4.09 weeks
Find out more on tire rotations at https://brainly.com/question/3471381
#SPJ1
2.
Find the products using
a. (5x - 2)(5x + 2)
Answers
a function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one. the function f(t) is your height at age t.
Answers
This function is not one-to-one because different ages can have the same height.
This function f(t) is not one-to-one because different ages can have the same height. For example, two people at age 20 could have the same height, even though one is 20 years old and the other is not. Additionally, two people of different ages can have the same height, such as a 5 year old and a 25 year old with the same height. One-to-one functions require that for every input there is only one output, which is not the case for this function. This is because height is not necessarily determined solely by age, and can be influenced by genetics and other environmental factors. Therefore, for any given age, there could be multiple possible heights, and this function does not satisfy the definition of a one-to-one function.
Learn more about function here
https://brainly.com/question/29633660
#SPJ4
O. A water jug is filled with 128 fluid ounces. Anna
pours out 3 pints of liquid from the jug. How
many pints remain?
A. 5 pints
B. 6 pints
C. 8 pints
D.
11 pints
Answers
Answer:11
Step-by-step explanation:
On a map, 1 inch equals 20 miles. Of two cities are 3 inches apart on the map, how far are they actually apart?
Answers
Answer:
60 miles
Step-by-step explanation:
Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.
3x20=60
geometry unit 7 : angles of polygons & parallelograms
find the value of x
Answers
Using the relationships between the angles of a parallelogram, the value of x is 12.55°.
Finding the value of x:A parallelogram has opposite angles that are equal, and adjacent angles that add up to 180°.
We can start with angles a and c. Since they are both equal to 90°, that means that angle b must also be 90°.
We can now use this information to find the value of x.
We can use the fact that angles a, b, and c add up to 270° to find x.
Since angles a and c are both 90°, that means that angle b must be 90°.
We can then solve for x by subtracting 190° (90° + 100°) from 270° and dividing by 7.
In order to solve for the value of x, we must use the properties of a parallelogram.
Since a parallelogram has four sides and four angles, the sum of the interior angles must equal 360°.
Therefore, we can set up an equation using the given angles and the unknown angle of x to solve for the value.
95° + (7x - 4)° + 90° + (3x + 23)° + (9x - 6)° = 360°
20x + 109° = 360°
20x = 251°
x=12.55°
Therefore, the value of x is 12.55°.
To learn more about angles of a parallelogram refer to:
brainly.com/question/20526916
#SPJ1
Find values of x and y
Answers
Answer:
\(x + 90 \degree + 57\degree = 180\degree \\ x = (180 - 57 - 90)\degree \\ x = 33\degree\)
\(y = 2\)
Could you solve for `x` using any tools we have so far? Why or why not?
Answers
the value of x can be calculated using the given data.
What are the properties of a Triangle?The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
Given a triangle, with two known angles of 42-degree and 26-degree
Let the triangle be ABC
This is, in fact, exactly what the Law of Sines tells you:
a/sinA = b/sinB = c/sinC = m
where m is that scale factor and also the diameter of the triangle's circumcircle.
in our case,
∠A = 26°
∠B = 42°
thus,
a/sinA = b/sinB
4/sin26 = b/sin42
b = 4* (sin 42 /sin26)
b =6.12
or x = 6.1 cm
therefore, the value of x can be calculated using the given data.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ1
William leaves his home at 15:03 and walks for 12 minutes to Euston station.
He spends 4 minutes buying a ticket and then catches the next train to Bletchley.
What time will he arrive at Bletchley?
Train timetable
Euston
14:49 15:18 15:29
14:52
15:32 15:35
Harrow
Watford 15:01
15:30
15:41 15:44 16:11
Hemel
15:39 15:50
15:53
16:20
Tring
15:31
16:00
Q
16:14 16:41
Bletchley 15:47
16:16
16:30
Bedford 15:54 16:23 16:34 16:37 17:04
15:32 15:59
Answers
To find out what time he will arrive at Bletchley, we need to look at the arrival time for the train that departs Euston at 15:32. According to the timetable, this train arrives at Bletchley at 16:16.
William spends 12 minutes walking to Euston station and 4 minutes buying a ticket, so his total journey time is 12 + 4 + 44 = 60 minutes (since there are 60 minutes in an hour). Therefore, he will arrive at Bletchley at 16:16 + 60 minutes = 17:16.
So, William will arrive at Bletchley at 17:16.
*Answer*
15:47
Step-by-step explanation:
He left; 15:03
Walk for; 12mins
Spends extra;4min
So by my side,
I'll sum up those values we're having to find the total time that was spent
12+4= 16mins
So, at that time when he reached at the station it was 15:19 when we add those extra mins
And so I think it'll 15:47
My thought told me so though
7 is not more than w
O 72W
O 7 > W
O 7= w
O 7≤W
Answers
Answer:
B
Step-by-step explanation:
Answer:
its either D or C but I think its D
Step-by-step explanation: