Use the graph of f(x) to evaluate the following: The average rate of change of f from x=1 to x=4 is □
Give your answer as an integer or reduced fraction.
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Lejuan fit a linear function to some data. He then plotted the residuals in the graph on the right. Is the linear function a good fit for this data? Explain your answer using what you've learned about residuals.
The linear function is a good fit for the data.
The linear function is not a good fit for the data.
Refer to the graph. Pay attention to the scale of the graph. Which set of coordinates models the image of the triangle after a translation along <2,−9>?
A) M′(−5,16),N′(−2,13),P′(0,15)
B) M′(−1,−2),N′(2,−5),P′(4,−3)
C) M′(−5,−2),N′(−2,−5),P′(0,−3)
D) M′(−1,16),N′(2,13),P′(4,15)
e polynomial function f(x) is graphed below. Fill in the form below regarding the features of this graph. Answer Attempt 3 out of 3 The degree of f(x) is □ minimums. and the leading coefficient is . There are □ distinct real zeros and □ rela
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Identify the intercepts.
This question: 1 point(s) possible
Submit test Select the correct choice below and, if necessary, fill in the answer box to complate your choice.
A. x-intercept(s) =□
(Type an ordered pair. Use a comma to separate answers as needed.)
B. There is no x-intercept. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. y-intercept(s) =□
(Type an ordered pair. Use a comma to separate answers as needed.)
B. There is no y-intercept.
ber of years since 2018.
Postcards: p(x)=150+64x
Stickers: s(x)=3(x+4)2+200
exponential function t(x) shown on the coordinate grid w represents the number of t -shirt sales Brayton has made x s after 2018. Which/function represents the number of t-shift sales Brastion has made x years after 2018? A t0(x)=140(0.71)x B t(x)=100(1.4)x C t(x)=100(0.4)x D t(x)=140(2)x
Use the circle graph to answer the question. A library classifies its DVDs into one of the categories shown. The library owns 1924 DVDs.
DVD Categories Determine the number of romance DVDs. The number of DVDs is □
(Round to the nearest whole number as needed.)
Geometry, Measurement, Data Analysis
Finding a percentage of a total amount in a circle graph
Brylie
Español The circle graph shows how the annual budget for a company is divided by department. If the total annual budget is $7,500,000, what amount is budgeted for Sales?
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Consider the graph shown in the figure, which gives the velocity of an object moving along a line. Assume time is measured in hours and distance is measured in miles. The areas of three regions bounded by the velocity curve and the t-axis are also given. Complete parts (a) through (e).
a. On what intervals is the object moving in the positive direction? Select the correct choice and, if necessary, fill in the answer box to complete your choice.
A. The object is moving in the positive direction on the interval(s) □ 1.
(Type your answer in interval notation. Use a comma to separate answers as needed.)
B. The object is never moving in the positive direction.
What is the distance between point P and point Q ? 7 units Distance is always positive or 0 . Absolute value is always positive or 0 . You can use absolute value to write an expression for the distance. Which expression represents the distance between point P and point Q ?
∣4∣−∣2∣[∣−3∣+∣2∣∣4∣−∣3∣∣4∣+∣−3∣
The graph of either a cubic or quartic polynomial f(x) with leading coefficient ±1 and integer zeros is shown. Write the complete factored form of f(x).
A. f(x)=(x−4)(x+1)(x+3)
B. f(x)=(x+4)(x−1)(x−3)
C. f(x)=−(x+4)(x−1)(x−3)
D. f(x)=2(x−4)(x+1)(x+3)
POSSIBLE POINTS: 2.78 Mai built a model racecar to race for a school competition. m(t) gives Mai's car's distance after t seconds. Use the graph to determine the missing value in each function statement.
m(6m(10)=12m(15)=12m(22)=22□m(28=46
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Use the graph of the function to find its domain and range. Write the domain and range in interval notation. Note: Use "D" to include endpoints (closed), "()" to exclude them (open), and combine them "[)" or "( ]" when needed in interval notation.
A box and whisker plot for the age of MST 1102 students is provided below. Use the diagram to answer the following four questions. The data points represented by the dots shown in the chart are known as -
4 Multiple Choice 0.25 points
Which compound inequality does the graph represent?
−53x−7>10 and x≥4−53x+7<10 and −x≥−453x+7>10 and x≤453x−7<10 and −x≤4
Question 25 (1 point)
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xy is the relevant budget line and I1,I2, and I3 are indifference curves. If the consumer is initially at point L, they should: strive for point N by obtaining a larger money income.
purchase more of X and less of Y.
purchase more of Y and less of X.
remain at that point to maximize utility.
The graph shows speed v as a function of time t for a 0.20 kg object traveling along a straight, horizontal track. The change in the kinetic energy of the object over the time interval shown in the graph is most nearly
Descriptive Statistics
Finding a percentage of a total amount in a circle graph
3/5 The circle graph shows how the annual budget for a company is divided by department. If the total annual budget is $10,000,000, what amount is budgeted for Research?
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The histogram shows the number of miles that each adult, from a survey of 67 adults, drives per week. How many adults drive fewer than 200 miles per week? There are □ adults who drive fewer than 200 miles per week.
Below is the graph of y=ex.
Transform it to make the graph of y=−ex−6.
Give the domain and range of y=−ex−6 using interval notation. Domain: □ Range: □∞−∞
Below is a graph of a normal distribution with mean μ=4 and standard deviation σ=2. The shaded region represents the probability of obtaining a value from this distribution that is between 2 and 5. Shade the corresponding region under the standard normal curve below.
4. A paper airplane is thrown from the top of a building. The graph shows the relationship between the time, in seconds, after the paper airplane is thrown ( x ) and the height of the paper airplane above the ground. What does the x-intercept of the graph indicate?
(a) The height from which the airplane is thrown.
(b) The speed at which the airplane is traveling.
(c) The maximum height that the airplane reaches.
(d) The number of seconds the airplane is in the air.
Д13.1. Докажите, что можно так занумеровать вершины связного неориентированного графа на n вершинах числами от 1 до n, что для каждого 1⩽k⩽n связен подграф, индуцированный множеством вершин с номерами от 1 до k.
Множество S вершин графа G=(V,E) индуцирует подграф с множеством вершин S, рёбрами которого являются все рёбра из E с обоими концами в S.
5. La grafica muestra el volumen de agua en un lavabo x minutos después de que se abre el grifo. Halla e interpreta la pendiente de la recta. Agua en el lavabo La pendiente de la recta es □
y representa
la cantidad de tiempo que corrió agua.
el volumen de agua.
la velocidad a la que corre el agua.
ations Two graphs are shown below. The f(x) graph is the original graph. Complete the statements below to describe the relationship between the functions f(x) and g(x). The graph of g(x) is a
[ Select ] of the
graph of f(x). Since f(x) ends at (2,6) and g(x) ends at (4,6) we can see that the
[ Select ] have
been multiplied by
[ Select ]
We
might also notice that f(−1)=
[ Select ]
which
Find the slope of the line below. Note: Enter negatives when necessary with no space between the negative sign and the number. If your answer is a fraction, enter your answer as a reduced improper fraction. Ex. 1/3 for 62m=□ type your answer...
3. Look at △STU on this coordinate grid. Suppose that △S′T′U′ is the result of a dilation of △STU with center T and scale factor 2 . What are the coordinates of point S? A (4,2)
B. (0,−3)
c. (3,4) D (6,9)
Emma and Kevin are building a gazebo with a polygon base. Find the lumber length and floorboard area needed. Points: A(0,16), B(-15,8), C(-15,-9), D(0,-18), E(15,-9), F(15,8).
Consider the following graph of the second derivative, f′′(x), for some function f(x)
a) Which of the following statements are correct (select all that are)?
f(x) is concave upwards on an open interval containing x=−2f(x) is concave upwards on an open interval containing x=4
b) Which of the following statements are correct (select all that are)?
If a local extreme occurs in (2,5) then it must be a local minimum.
If a local extreme occurs in (4,5) then it must be a local minimum.
Graph of f The graph of the function f, shown above, has a vertical tangent at x=−2 and horizontal tangents at x=−3 and x=−1. Which of the following statements is false?
A) f is not differentiable at x=−2 because the graph of f has a vertical tangent at x=−2.
(B) f is not differentiable at x=0 and x=2.5 because f is not continuous at x=0 and x=2.5. C f is not differentiable at x=1.5 and x=4 because the graph of f has sharp corners at x=1.5 and x=4.
(D) f is not differentiable at x=−3 and x=−1 because the graph of f has horizontal tangents at x=−3 and x=−1.
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Show Examples Which of the following statements must be true based on the diagram below? Select all that apply. (Diagram is not to scale.) Answer Attempt 3 out of 3
OQ is a segment bisector.
OQ is an angle bisector.
Q is the vertex of a pair of congruent angles in the diagram.
O is the midpoint of a segment in the diagram.
Q is the midpoint of a segment in the diagram.
None of the above.
How many passes are expected to be executed to sort the maximum value using bubble sort algorithm in an array with n>1 where n is the number of elements?
3
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Graph the 4 vertices of the quadrilateral. Determine the best name for the quadrilateral and justify your choice.
M(0,2),A(1,−1),T(5,1),H(4,4) Quadrilateral MATH is best described as a fa rallologram because buth
9) *(I know this is linear - it's assessing transformations) Part A
The linear function f(x) is graphed on the coordinate grid.
Graph the linear function g(x)=f(x)+3.