Estimate the average rate of change between x = 0 and x = 2 for the function shown.
a. 6
b. 7
c. 12
d. 24
Answers
Answer:
the answer to this question is b
Related Questions
What is the value of x in the figure below
Answers
Answer:
x=9
Step-by-step explanation:
3x+9=35
3x+9-9=35-9
3x=27
3x/3=27/3
x=9
Answer:
Step-by-step explanation:
3x+8 = 35
3x = 27
x = 9°
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the systems of equations with their solution sets. y + 12 = x2 + x x + y = 3 y − 15 = x2 + 4x x − y = 1 y + 5 = x2 − 3x 2x + y = 1 y − 6 = x2 − 3x x + 2y = 2 y − 17 = x2 − 9x -x + y = 1 y − 15 = -x2 + 4x x + y = 1 Solution Set Linear-Quadratic System of Equations {(-2, 3), (7, -6)} arrowRight {(-5, 8), (3, 0)} arrowRight {(-2, 5), (3, -5)} arrowRight {(2, 3), (8, 9)} arrowRight
Answers
Answer:
Step-by-step explanation:
The solution of this systems of equations is the intersection of both graphs
Let's kick start with a:
a)
\(y+12 = x^2+x \\ \\ x+3 = y\)
From the first attached diagram by using graph:
the solution is the set {(-5, 8), (3, 0)}
b)
\(y-15=x^3+4x \\ \\ x-y =1\)
Using the graph tool from the last diagram below;
the solution is the set⇒( there is no solution)
c)
\(y+5 =x^2-3x \\ \\ 2x+y =1\)
From the second attached diagram by using graph:
the solution is the set {(-2, 5), (3, -5)}
d)
\(y-6=x^2-3x \\ \\ x+2y =2\)
the solution is the set ⇒ there is no solution (shown in the last diagram below)
e)
\(y-17=x^2-9x \\ \\ -x+y =1\)
the solution is the set {(2, 3), (8, 9)} as shown in the third diagram
f) Lastly:
\(y-15=-x^2+4x \\ \\ x+y =1\)
Using the graph tool from the fourth diagram below;
the solution is the set {(-2, 3), (7, -6)}
The solution to the system of equations are the truth values of the system of equations
\(\mathbf{(a)\ y + 12 = x^2 + x,\ x + 3 = y}\)
The graphs of the equations intersect at (-5,8) and (3,0).
So, the solution set is {(-5,8), (3,0)}
\(\mathbf{(b)\ y - 15 = x^3 + 4x,\ x - y = 1}\)
The graphs of the equations do not intersect
So, the system has no solution
\(\mathbf{(c)\ y + 5 = x^2 - 3x,\ 2x + y = 1}\)
The graphs of the equations intersect at (-2,5) and (3, -5).
So, the solution set is {(-2, 5), (3, -5)}
\(\mathbf{(d)\ y - 6 = x^2 - 3x,\ x + 2y = 2}\)
The graphs of the equations do not intersect
So, the system has no solution
\(\mathbf{(e)\ y - 17 = x^2 - 9x,\ -x + y = 1}\)
The graphs of the equations intersect at (2,3) and (8,9).
So, the solution set is {(2, 3), (8, 9)}
\(\mathbf{(f)\ y - 15 = -x^2 + 4x,\ x + y = 1}\)
The graphs of the equations intersect at (-2,3) and (7,-6).
So, the solution set is {(-2, 3), (7, -6)}
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What does the x- value and y- value of the point (230, 60) represent and what is the significance in terms of cost?
Answers
Continuation from the first 2 questions this guy posted.
Since a chicken sandwich (x) cost $2.75 and a hamburger (y) cost $1.95, the point (230,60) tells us that the total cost is : 230 x 2.75 + 60 x 1.95 = $749.50
A.
in which f and k are known functions, and φ is to be determined. since the unknown function φ appears under an integral sign, the given equation is called an integral equation; in particular, it belongs to a class of integral equations known as volterra integral equations7. take the laplace transform of the given integral equation and obtain an expression for l{φ (t)} in terms of the transforms l{ f (t)} and l{k(t)} of the given functions f and k. the inverse transform of l{φ (t)} is the solution of the original integral equation
Answers
The solution to the given integral equation is:
\(\[\varphi(t) = \mathcal{L}^{-1}\left\{\frac{\mathcal{L}\{f(t)\}}{1 - \mathcal{L}\{k(t)\}}\right\}\]\)
where \(\(\mathcal{L}^{-1}\)\) denotes the inverse Laplace transform.
To find the solution to the given integral equation using the Laplace transform, let's proceed with the calculations step by step.
We have,
\(\[\varphi(t) = f(t) + \int_{0}^{t} k(t-\tau)\varphi(\tau) d\tau\]\)
Taking the Laplace transform of both sides:
\(\[\mathcal{L}\{\varphi(t)\} = \mathcal{L}\{f(t)\} + \mathcal{L}\left\{\int_{0}^{t} k(t-\tau)\varphi(\tau) d\tau\right\}\]\)
Using the property of the Laplace transform that converts convolution into multiplication, we can rewrite the integral term as:
\(\[\mathcal{L}\left\{\int_{0}^{t} k(t-\tau)\varphi(\tau) d\tau\right\} = \mathcal{L}\{k(t) * \varphi(t)\}\]\)
where \(\(*\)\) denotes the convolution operation.
Substituting this into the previous equation, we obtain:
\(\[\mathcal{L}\{\varphi(t)\} = \mathcal{L}\{f(t)\} + \mathcal{L}\{k(t) * \varphi(t)\}\]\)
Now, we can solve for \(\(\mathcal{L}\{\varphi(t)\}\)\):
\(\[\mathcal{L}\{\varphi(t)\} - \mathcal{L}\{k(t) * \varphi(t)\} = \mathcal{L}\{f(t)\}\]\)
Factoring out \(\(\mathcal{L}\{\varphi(t)\}\)\) on the left-hand side, we get:
\(\[(1 - \mathcal{L}\{k(t)\}) \cdot \mathcal{L}\{\varphi(t)\} = \mathcal{L}\{f(t)\}\]\)
Finally, solving for \(\(\mathcal{L}\{\varphi(t)\}\)\), we have:
\(\[\mathcal{L}\{\varphi(t)\} = \frac{\mathcal{L}\{f(t)\}}{1 - \mathcal{L}\{k(t)\}}\]\)
To find the solution \(\(\varphi(t)\)\), we now need to take the inverse Laplace transform of \(\(\mathcal{L}\{\varphi(t)\}\)\). The inverse Laplace transform of a function \(\(F(s)\)\) is denoted as \(\(\mathcal{L}^{-1}\{F(s)\}\)\).
Therefore, the solution to the original integral equation is:
\(\[\varphi(t) = \mathcal{L}^{-1}\left\{\frac{\mathcal{L}\{f(t)\}}{1 - \mathcal{L}\{k(t)\}}\right\}\]\)
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30 points!!!! ASAP
Triangle ABC is transformed to triangle A′B′C′, as shown below:
A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair 3, 0, B at ordered pair 4, negative 2, C at ordered pair 1, negative 3. A triangle A prime B prime C prime has A prime at ordered pair negative 3, 0, B prime at ordered pair negative 4, negative 2, C prime at ordered pair negative1, negative 3.
Which equation shows the correct relationship between the measures of the angles of the two triangles?
The measure of angle ABC = The measure of angle B prime C prime A prime
The measure of angle ABC = The measure of angle C prime A prime B
The measure of angle BCA = The measure of angle C prime A prime B prime
The measure of angle BCA = The measure of angle B prime C prime A prime
Answers
Answer:
D
Step-by-step explanation:
Answer:
The measure of angle BCA = The measure of angle B prime C prime A prime
15,735 children visited a fun park in January and 32,012 children visitedit in February. How many children visited the fun park in 2 months?
Answers
Write the slope of the line plz help me show the work
Answers
Answer:
2/5
Step-by-step explanation:
slope = rise/run
rise is a vertical distance
run is a horizontal distance
We need to find the rise and run between two points on the line.
Look at the point where the line crosses the y-axis. We need to go to another point on the line by going only vertically and horizontally.
Now start at that point, go 2 units up. The rise = 2. Now turn right and go 5 units to the right. The run = 5. You got to another point on the line.
rise = 2
run = 5
slope = rise/run
slope = 2/5
See the picture below.
HELLP PLEASE...... Each side of a square classroom measures 23 feet. The teacher wants to put a border around the top of the classroom that costs $1.12 per foot. How much will the border cost?
Answers
Answer:
$25.76
Step-by-step explanation:
$1.12×23ft=$25.76
In the right triangle shown, m\angle J = 60^\circm∠J=60 ∘ m, angle, J, equals, 60, degrees and JL = 6\sqrt{3}JL=6 3 J, L, equals, 6, square root of, 3, end square root. How long is JKJKJ, K?
Answers
Answer:
\(|JK|=3\sqrt{3}\)
Step-by-step explanation:
The diagram of the triangle is drawn and attached,
From trigonometric ratios,
\(cos \theta =\frac{Adjacent}{Hypotenuse} \\cos60^\circ =\frac{|JK|}{|JL|}\\ 0.5=\frac{|JK|}{6\sqrt{3} }\\$Cross multiply$\\|JK|=0.5*6\sqrt{3}\\|JK|=3\sqrt{3}\)
Answer:
the proof is in the picture
Step-by-step explanation:
Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.
Answers
The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.
To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:
% Replace '12345678' with your actual student number
studentNumber = '12345678';
% Extract the first 4 digits as the first number
firstNumber = str2double(studentNumber(1:4));
% Extract the last 3 digits as the second number
secondNumber = str2double(studentNumber(end-2:end));
% Find the GCD using the Euclidean algorithm
gcdValue = gcd(firstNumber, secondNumber);
% Display the result
disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);
Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.
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Please help 30 points!!!
A ladder is leaning against a building so that the top of the ladder is touching the roof line. The bottom of the ladder is 9 feet from the building and the ladder is 41 feet long. How far is the roof line from the ground? Enter your answer in the box.
Answers
Answer:
wouldnt it be 41 ft beacuse from the roof line to the ground its 4ft so the nswer
would meStep-by-step explanation:
Answer: 40 ft.
Step-by-step explanation:
I got it right on the test
2x+3y=1470 changed to slope intercept form, write a description which is clear precise and correct of how to graph the line using the slope intercept method,changes equation to to function notation and explains clearly what the graph of the equation represents. graph the equation and labels the intercept correctly. Write at least 3 sentences explaining how the graphs of the two equations are the same and how they are different.
Answers
Answer:
y= 490 - 2x
Step-by-step explanation:
Answer: Do I get brainliest if I try? 7 = 490 - 2x
Step-by-step explanation:
Kaleeann keeps $50 a month in her drawer to be used 2 years from now. which function of money are those dollars performing?
Answers
Answer:
50x, x being months.
Step-by-step explanation:
After 2 years, or 24 months, she will have $1,200.
if $a$ is the sum of the positive divisors of $500$, what is the sum of the distinct prime divisors of $a$?
Answers
Answer:
25
Step-by-step explanation:
You want the sum of the distinct prime divisors of the sum of the positive divisors of 500.
Divisors of 500The prime factorization of 500 is ...
500 = 2²·5³
so there are (2+1)(3+10 = 12 positive integer divisors:
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The sum of these divisors is 1092.
Divisors of 1092The prime factorization of 1092 is ...
1092 = 2²·3·7·13
so the sum of interest is ...
2 +3 +7 +13 = 25
The sum of interest is 25.
Solve this system of equations by graphing. First graph the equations, and then type the solution.
y= 2/5x-3
y = -5
( on IXL )
(you don’t have to graph it obviously I just need the points please)
Answers
Using a graphing calculator, plug in both equations and find where they cross. Wherever they cross there is a solution. So the the answer is (-5,-5).
if you wanted to examine whether the degree of parental involvement differs based on students’ grade in school (i.e., first, second, third, etc.), what is the dependent variable of interest?
Answers
The dependent variable of interest in examining whether the degree of parental involvement differs based on students' grade in school is the degree of parental involvement.
In this scenario, the independent variable is the students' grade in school (i.e., first, second, third, etc.). The dependent variable is the variable that is expected to be influenced by the independent variable. In this case, the dependent variable of interest is the degree of parental involvement.
The degree of parental involvement refers to the level or extent to which parents are engaged in their child's education and school-related activities. It can encompass various aspects, such as attending parent-teacher meetings, volunteering at school, helping with homework, and participating in school events.
By examining whether the degree of parental involvement differs based on students' grade in school, researchers or educators aim to explore any potential patterns or differences in parental involvement as children progress through different grade levels. This investigation can provide insights into how parental involvement may vary across grade levels and inform strategies to enhance parental engagement in education at specific stages of a child's schooling. Thus, the dependent variable of interest is the degree of parental involvement.
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A ladder leans against the side of a house. The angle of elevation of the ladder is 73° when the bottom of the ladder is 15 feet from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.
Answers
Answer:
17.2 feet
Step-by-step explanation:
The length of the ladder is 20.4 feet.
What are heights and distances?Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.
Given that, the angle of elevation of the ladder is 73° when the bottom of the ladder is 15 feet from the side of the house.
Let the height of side of a house be x.
Now, tan73°=x/15
x/15=0.9192
x=0.9192×15
x=13.8 feet
Let the length of the ladder be y.
y²=15²+13.8²
y²=415.44
y=√415.44
y=20.4 feet
Therefore, the length of the ladder is 20.4 feet.
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PLEASE I NEED HELP ASAP, WILL GIVE BRAINLIEST
Which equation represents the polar form of x - y = 0?
Answers
Answer:0=0
Step-by-step explanation:
Answer: B
Step-by-step explanation:
For which scatter plot would the line of best fit be represented by the equation y =1/2x+2?
Answers
Option A
Explanations:The slope - intercept form of the equation of a line is:
y = mx + c
where m is the slope
c is the y-intercept
If a line of best fit is drawn on the on each of the scatterplots, only in the first scatterplot can the line of best fit intesect the y-axis at 2. A slope of 1/2 is also only possible when a line of best fit is drawn on the first scatterplot.
That is, c = 2
m = 1/2
Therefore, only the first scatterplot would have the line of best fit represented by the equation y = 1/2 x + 2
Integrate by hand the following functions: adr b) (42³-2r+7) dz Upload Choose a File
Answers
The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.
To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:
∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C
where C is the constant of integration.
Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.
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2+2
f re e
points or whatever
Answers
Answer:
2+2 = 4
Step-by-step explanation:
Hope this helps.
Answer:
2 + 2 is 4 my guy
Step-by-step explanation:
thx for the points
george flips an unfair coin $7$ times. the coin has a $\frac{1}{4}$ probability of coming up heads and a $\frac{3}{4}$ probability of coming up tails. what is the probability that he flips exactly $2$ tails?
Answers
The probability of getting exactly 2 tails in 7 flips of a coin with a probability of tails being 3/4 is 189/16384 or approximately 0.0115.
We can use the binomial distribution formula to solve this problem. Let X be the number of tails that come up in 7 flips of the coin. Then X follows a binomial distribution with n = 7 and p = 3/4 (since the probability of tails is 3/4).
The probability of getting exactly 2 tails is given by:
P(X = 2) = (7 choose 2) * (3/4)^2 * (1/4)^5
= (21 * 9/16 * 1/1024)
= 189/16384
So the probability that George flips exactly 2 tails is 189/16384, or approximately 0.0115.
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___% (blank %) of $40 =$4
Answers
Answer:
10%
Step-by-step explanation:
40/4 = 10.
To check:
0.10 x 40 = 4
Sari stood at a point measured 20 meters away from the base of building A. Turning 40° to building B, she determined that the base of that building was 25 meters away. How far apart were the buildings? Use a calculator if needed.
A. 4O Meters
B. 16 Meters
C. 45 Meters
D. 5 Meters
E. 20 Meters
Answers
To determine the distance between the buildings, we can use trigonometry and the given information. Let's consider the triangle formed by Sari, building A, and building B. The side opposite the 40° angle is the distance between the buildings that we want to find.
Using the tangent function, we can set up the following equation: tan(40°) = opposite/adjacent. tan(40°) = distance between the buildings/20 meters. To find the distance between the buildings, we rearrange the equation: distance between the buildings = 20 meters * tan(40°). Using a calculator, we can evaluate the expression: distance between the buildings ≈ 20 meters * 0.8391 ≈ 16.782 meters. Therefore, the buildings are approximately 16.782 meters apart. To determine the distance between the buildings, we can use trigonometry and the given information. Let's consider the triangle formed by Sari, building A, and building B. The side opposite the 40° angle is the distance between the buildings that we want to find.
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cooling towers are used to remove or expel heat from a process. a cooling tower's walls are modeled by where the measurements are in meters. what is the width of the cooling tower at the base of the structure? round your answer to the nearest whole number.
Answers
The width of the cooling tower at the base of the structure is 100 meters, rounded to the nearest whole number.
Given that the cooling tower's walls are modeled by where the measurements are in meters and the width of the
cooling tower at the base of the structure is required, we can find the width by using the formula for the area of a
trapezoid. The area of the trapezoid represents the area of the base of the cooling tower.
Area of a trapezoid = 1/2 × (a + b) × h
where a and b are the lengths of the parallel sides of the trapezoid and h is the height or perpendicular distance
between the parallel sides.
In this case, the parallel sides of the trapezoid are not given, but we are given the height of the cooling tower, which is
100 meters. We also know that the area of the base of the cooling tower is 10,000 square meters.
Therefore, we can use the formula for the area of a trapezoid to find the sum of the lengths of the parallel sides of the
trapezoid, which will give us the width of the cooling tower at the base.
Area of a trapezoid = 1/2 × (a + b) × h
10,000 = 1/2 × (a + b) × 100
100 = (a + b)/2
200 = a + b
Width of cooling tower at the base = (a + b)/2
Width of cooling tower at the base = 200/2
Width of cooling tower at the base = 100 meters
Therefore, the width of the cooling tower at the base of the structure is 100 meters, rounded to the nearest whole number.
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can someone post the back of the paper on Quiz 3-1 Parallel Lines, Transversals, and Special Angle Pairs
Answers
The following statements are true:
Segment DEF is parallel to ABC
The line segment AB is parallel to DE
Line FC is parallel to AD
the line that is skewed to DE is BC
What is geometry?One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
The given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)
Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;
DEF is parallel to ABC
CADF is parallel to CBEF
For the lines, the lines that are parallel to each other are:
AD is parallel to BE
AB is parallel to DE
FC is parallel to AD
Skew lines are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC
The missing image is attached with the answer below.
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I need help please and thanksss
Answers
Answer:
64
Step-by-step explanation:
Trust me, this is the answer, PLEASE GIVE ME BRAINLIEST
A scale drawing of a rectangular park is 12 inches wide and 5 inches long. the actual park is 250 yards long. what is the area of the actual park in square yards
Answers
The area of the actual park is approximately 149,094 square yards.
To find the area of the actual park in square yards, we need to convert the given measurements to the same units.
Given:
Scale drawing width = 12 inches
Scale drawing length = 5 inches
Actual park length = 250 yards
First, let's convert the scale drawing measurements from inches to yards to match the units of the actual park length.
1 yard = 36 inches
Scale drawing width in yards = 12 inches / 36 inches per yard = 1/3 yard
Scale drawing length in yards = 5 inches / 36 inches per yard ≈ 0.1389 yards
Now we have the dimensions of the scale drawing in yards. We can use these dimensions to find the area of the scale drawing.
Scale drawing area = Scale drawing length * Scale drawing width
≈ 0.1389 yards * 1/3 yard
≈ 0.0463 square yards
Since the scale drawing represents a proportional relationship to the actual park, we can use this scale to find the area of the actual park.
Scale factor = Actual length / Scale drawing length
= 250 yards / 0.1389 yards
≈ 1800
The scale factor represents the ratio of the actual length to the scale drawing length. We can use this scale factor to find the area of the actual park.
Area of actual park = Scale drawing area * Scale factor^2
= 0.0463 square yards * (1800)^2
= 149,094 square yards
Therefore, the area of the actual park is approximately 149,094 square yards.
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Jack works after school. Each day he is paid a set amount, plus an hourly wage.
Hours 1 1.5 2 2.5 3
Pay 18 23 28 33 38
Assume Jack works from 2:30 P.M. to 7:00 P.M. Using the function f(x) = 10x + 8, how much would he earn?
A. $33
B. $35.50
C. $45
D. $53
Answers
Answer:
B.35.50
Step-by-step explanation:
The following table shows the number of candy bars bought at a local grocery store and the
total cost of the candy bars:
Candy Bars: 3, 5, 8, 12, 15, 20, 25
Total Cost: $6.65, $10.45, $16.15, $23.75, $29.45, $38.95, $48.45
If B represents the number of candy bars purchased and C represents the total cost of the candy bars, write the linear model that models the cost of any number of candy bars.
Answers
The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95
To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.
Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.
To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):
m = (C2 - C1) / (B2 - B1)
= ($48.45 - $6.65) / (25 - 3)
= $41.80 / 22
≈ $1.90
Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):
b = C - mB
= $6.65 - ($1.90 * 3)
= $6.65 - $5.70
≈ $0.95
Therefore, the linear model that represents the cost of any number of candy bars can be written as:
C = $1.90B + $0.95
This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.
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