Basic Math question and answers for August 26, 2024
- Q Consider the following system of two equations and two unknowns.[x+y = 2[3x + y = 0a) Solve the system using substitution.b) Solve the system using linear combination (a.k.a. the elimination...
- Q Describe and correct the error a student made in finding the midpoint of CD with C(-4,5) and D(-1,-4).(-4-1-1), 5-1-4)996XThe student did not add the x- and y-coordinates when calculating the...
- Q Write an equation and sketch the graph for the described linear relation.a) Kenji started with $50 in his bank account, then deposited $10 per week.Let x = # of weeks...
- Q Starting at noon, Brody observed the amount of snow on his lawn during a blizzard. He wrote an equation to represent s, how many inches of snow were on the...
- Q If the function y = e-3x is vertically compressed by a factor of 4, reflected across the y-axis, and then shifted down 5 units, what is the resulting function? Write...
- Q The graph of y = f(x) is shown in blue. Draw the graph of y f(3x), shown in red, by determining how a stretch or compression will transform the location...
- Q Which of the following is true when a plane intersects a cone to form a parabola?The plane slices through a double cone and is perpendicular to the base of the...
- Q Work with a partner. Consider the absolute value equation |x + 2 = 3.a. On a real number line, locate the point for which x + 2 = 0.-10-9-8-7-6-5-4-3-2-1 0...
- Q The points represent the vertices of a polygon. Use a matrix to find the coordinates of theimage after the given transformation. Graph the preimage and the image.A(2, 3), B(-1,-4), and...
- Q Here are graphs of x = 4 and x + y = 12. Complete the graphs (by shading regions and adjusting line types as needed) to show all the allowable...
- Q The diagonals of a parallelogram ABCD intersect at E(-5, -1.5).Two vertices are located at A(-10, -1) and B(-1, 3.5). Find the coordinates of the other two vertices C and D.Use...
- Q A right triangle has vertices X(0, 0), Y(0, 2a), Z(2b, 0). What is the circumcenter of the triangle? Make a conjecture about the diameter of a circle that is circumscribed...
- Q 1. A movie theater charges $10 for an adultticket and $9 for a child ticket. The goalis to make $1,200 on adult tickets eachweek. Did the theater make its goal...
- Q The value of y varies directly as the square of and y = 27 when z = 9. Find the equation represents this relationship. Report the proportionality constant as a...
- Q The longest sides of two similar triangles are 28 ft and 21 ft.What is the scale factor?2/118/134/328/21
- Q Find the coordinates of the point(s) on the curve y = ?x + 4 that are closest to the point (5, 0).a) O (0, 2) andb) ? (1, ?5)?3890 (1/1,...
- Q 3. Find all the points on the graph off(x) = 3x - 52x +300x - 672x +900.Forwhich the tangent line is horizontal.A) (2,388) onlyB) (2,0), (4,0) and (7,0)c) (2,388), (4,452)...
- Q Select the correct answer from each drop-down menu.Polygon ABCDE has the vertices 4(2, 8). 84. 12), 410, 12), (8, 8), and 86, 6), Polygon MNOPQ has the vertices M-2, 8)....
- Q Graph the solution of the system of linear inequalities.y + 4x ?05x-3y ? 15
- Q Graph the linear equation.x = 4y
- Q Graph the equation y = -x + 14x - 48 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
- Q Find an equation of the line with the slope m = 1/8 that passes through the point (-7,0). Write the equation in the form Ax + By = C.Choose the...
- Q Consider the following relation.x = 3|y|-5Find four points contained in the inverse. Express your values as an integer or simplified fraction.
- Q Let m1 and m2 represent the slopes of two lines. Determine if the lines are parallel, perpendicular, or neither m1 = 6/4, m2=2/3.
- Q The points (4, -6) and (9, -6) represent the location of two towns on a coordinate grid, where one unit is equal to one mile.What is the distance, in miles,...
- Q Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curvelist of ordered pairs.)x = t - 3t, y...
- Q Sketch the hyperbolas below and write the coordinates of the vertices and co-vertices and theequations of the asymptotes. In your sketch, clearly show the x- and y-axes, central box, asymptotes,branches,...
- Q Find the area under the standard normal curve: (Keep 4 dec-imal places in your answers.)a. between z = 0 and z = 2.29b. between z = 0 and z =...
- Q In a triangle, which point of intersection, or concurrency, is the intersection of the perpendicularbisectors?CentroidMediansIncenterCircumcenter
- Q Find the equation of the line parallel to the graph of -3x + 3y = - 2 that contains the point (-4,-4).Write the answer in slope-intercept form.Previewsyntax error: this is...
- Q Use synthetic division to find f(-2).f(x) = 2x4-x-16x + 34x - 32.
- Q Triangle ABC is taken to triangle A' B'C' by a dilation. Which of these scale factors for thedilation would result in an image that was larger than the original figure?A.B.3/wD.25C....
- Q - A city planner designs a park that is a quadrilateral with vertices at I(-3, 1), K(1, 3),L(5, -1), and M(-1, -3). There is an entrance to the park at...
- Q Communicate Mathematical Ideas A video game designer places an anthill at the origin of a coordinate plane. A red ant leaves the anthill and moves along a straight line to...
- Q On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(-3, 1), B(2, 3), and C(4, -1). A bank...
- Q Which pair of variables can't be represented on a scatter plot? Circle the answer. Write a sentence about why it can't be represented. The heights and age of the KC...
- Q In a recent survey, 80% of the community favored building a health center in their neighborhood. If 15 citizens are chosen, what is the standard deviation of the numberfavoring the...
- Q Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the rational function.h(x) =x + 3/x(x+4)Select the correct choice below...
- Q Annabelle earned a score of 410 on Exam A that had a mean of 450 and a standard deviation of 40. She is about to take Exam B that has...
- Q The light vehicle market share (in percent) in a particular country for pickup trucksis shown in the graph. Let x = 0 represent 1995, x = 4 represent 1999, and...
- Q A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3,-1), and (-6, 5), respectively. Which sentence about the points is true?A. A, B, C, and D lie...
- Q The points F(1, 2), G(0, -3), H(5,-4), and I(6, 1) form a quadrilateral. Find the desired slopes and lengths, then fill in the words that BEST identifies the type of...
- Q Gerry plotted the equation y=x on a coordinate grid. He wantsto translate the graph 4 units to the left and 3 units up. What willbe the equation of the translated...
- Q Benny gets a job at a law firm with a salary of $70,000 per year. After the first year, his salary increases to $73,000. Over the next five years, he...
- Q Determine whether each ordered pair is a solution of the equation, y = 3x + 21.(0,21), (-7,0), (3, -23)Determine if (0,21) is a solution of the equation, y = 3x...
- Q Use the shell method to set up the integral that would determine (don't actually integrate) the volume of the following solid: a right circular cone of radius 4 and height...
- Q Ciara flies a drone around an object that is 190 feet west and 230 feet south of her position. The droneflies a circular path around the object. The drone's path...
- Q The question says "factor 4x - 12x + 5". What number combinations need to be true?. multiply to+5 and add up to-12 multiply to+4 and add up to-12 multiply to-20...
- Q Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a coordinate plane.a. (0,0), (8,2), (2,8)b. (5,2), (12,9), (4,17)a. The orthocenter is ....
- Q Weights for a certain species of newt are normally distributed with a mean of 43 grams and standard deviation 8 grams.The bell curve below represents the probability distribution for newt...
- Q Write the equation of a line perpendicular to the line:4y = x-13that goes through the point (-4, 2).Write your answer in slope-intercept form, using simplified fractions for the slope and...
- Q A line passes through the point (8, -8) and has a slope of34Write an equation in point-slope form for this line.
- Q Draw a ?XYZ on a coordinate grid such that the slope of the line segment XY = 2/3. Draw the following transformations and determine if the following transformation will still...
- Q Approximate the area under the curve graphed below from x = 1 to x = 4 using a Left Endpoint approximation with 3 subdivisions.(You will need to approximate the function...
- Q Find two angles (one positive and one negative) that are coterminal with -?/3is a positive angle that is coterminal with -?/3is a negative angle that is coterminal with -?/3
- Q Mr. Muthig believe that the equation below is an equation for a linear function. Is he correct? Why or why not? Use at least 2 full sentences to explain your...
- Q Write the equation of a line in slope-intercept form when theslope is 4 and the line travels through (3, 6).
- Q 13. This exercise is about the simultaneous equations4y - 8x = 4y = 2x + 1Follow the instruction given in exercise 12 and answer the questions asked in parts b...
- Q What point on the line y = 5x + 4 is closest to the origin?The point on the line y = 5x + 4 closest to the origin is(Type an...
- Q If two lines l and mare parallel, then a reflection along the line l followed by a reflection along the line m is the same as aA) reflection.B) rotation.C) composition...
- Q Four vertices of ABCD, A(1,4) B(-2,1) C(4,-5) D(7,-2). Identify the shape, slope of AB, CD, AD, BC, AC, and BD the distances, and the slopes of the diagonals, and the...
- Q What is the 5th term in the expansion of(4xy - y)?Drag a value into each box to correctly express the term. Apply the convention of a leading numerical coefficient and...
- Q Use algebra to find the intersection point of the graphs of the given equations.2x - y = 7y = 1-2xWhat is the intersection point?
- Q Question 4 of 8Determine whether the graph of the below equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of...
- Q An image has coordinates A (1, 2), B (3, 4), C (6, 9). Given an enlargement scale of 2, what would be the new coordinates?A' (1/2, 1), B' (3/2, 2),...
- Q Given point M (-6,-6?3), which is located on the rectangular coordinate plane, what are the representations of the point in polar form, where -2n ? 0? 2n?(12, -4?/3 ),(12, 2?/3...
- Q A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius When the cookie dough is placed into the oven the height...
- Q Step 1 To determine the intervals on which the function is increasing or decreasing first find the critical numbers of the given function Determine g x g x x 2x...
- Q To test an individual s use of a certain mineral a researcher injects a small amount of a radioactive form of that mineral into the person s bloodstream The mineral...
- Q If the price charged for a bolt is p cents, then x thousand bolts will be sold in a certain hardware store, where p = 66- x/36. How many bolts...
- Q Suppose that f(4) = 3, g(4) = 4, f'(4) = -5, and g'(4) = 2. Find h'(4).(a) h(x) = 3f(x) + 2g(x)h'(4) =(b) h(x) = f(x)g(x)h'(4) =(c) h(x) =f(x)/g(x)h'(4) =(d)...
- Q The slope of the line given by the parametric equations x =12t-11 and y = 6t+13 is:a. 2b.3c. 6d. 1/2e.1/3
- Q Find the derivative of the function.h(x) = log3 x?x - 7/6h'(x)=
- Q A person standing close to the edge on top of a 80-foot building throws a ball vertically upward. The quadratic function h(t) 16t^,2 +64t+ 80 models the ball's height about...
- Q Let z? and z? be two complex numbers satisfying (z-w)+(z-w) = 0, where w is non real cube root of unity. Also let 'a' be a variable point on the...
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