Basic Math question and answers for October 19, 2024
- Q Identify if the system of linear equations is parallel, perpendicular, coincident, or intersecting but, not perpendicular (IBNP).y = -3x= ?3x ? 2CoincidentParallelIBNPPerpendicular
- Q Which line is perpendicular to the line y = x + 5 and passes through the point (-7, 2)?Write your answer as y=mx+b with no spaces. Use parenthesis if your...
- Q Which line is parallel to the line y = 1/2x 10 and passes through the point (8, -7)?Write your answer as y=mx+b with no spaces. Use parenthesis if your slope...
- Q The equations of three lines are given below.Line 1: 10x-4y=-6Line 2: y=-2/5x+8Line 3: 5y=-2x+6For each pair of lines, determine whether they are parallel, perpendiculaLine 1 and Line 2: Parallel Perpendicular...
- Q Consider the curve y = 5x3 - 3x.(a) Find dy/dx.The curve has a tangent at the point P(-1.-2).(b) Find the gradient of this tangent at point P.(c)Find the equation of...
- Q The rectangular coordinates of a point are given. Find polar coordinates (r,0) of this point with 8 expressed in radians. Let r>0 and -2?<0<2?.(-10,10)One possibility for the polar coordinates of...
- Q If you drive 165 miles and have 15 gallons of gas remaining in your tank. Then you continue driving, and calculate that after driving 298 miles you have 8 gallons...
- Q The senior classes at High School A and High School B planned separate trips to the indoor climbing gym. The senior class at High School A rented and filled 12...
- Q The equation of the line L? is 2x + y = 10. Write down (i) the gradient of L?; (ii) the y-intercept of L?. 1b. [2 marks] The line L,...
- Q If g(x) is the (x) = x after a vertical compression by 2/5 a shift right by 4, and a shift down by 2,a) write an equation for g(x): g(x)...
- Q Find an equation of the line that passes through the given point and has the indicated slope m.Point (-2,-5)Slope m= 4/5
- Q The equation for line t can be written as y = -4x + 8. Perpendicular to line t is line u, which passes through the point (-8, -8). What is...
- Q Stephen opens a savings account with an initial deposit of $300. Every month, Stephen will deposit an additional $250 into the account from his paycheck. Which function below shows the...
- Q WHAT IS THE EQUATION OF THE LINE THAT PASSES THROUGH THE POINT (4.4) ANDHAS A SLOPE OF 1/47Show your work below and put your answer in the blue box. Usepoint-slope...
- Q What is the equation of a line with a y-intercept of -3 and a slope of -4/5?-4x+ 5y = 154x + 5y = -15-4x + 5y = -34x + 5y...
- Q Does a system of linear equations always have a solution? What about the following system?x + 3y = 1; 2x+6y=3If we think of the two equations in the above system...
- Q Which statement is true regarding the line y = -4x + 13?The line has a slope of -13.The line has a slope of 4.The line passes through the point (0,...
- Q A system of equations is shown below.3x - 2y = 79z - 6y = kWhat statement is true about the relationship between the value of k and the number of...
- Q Your school is printing programs for the honor society induction ceremony. L & L Printing will print the programs for $350 plus an additional $1.50 per program. Red Baron will...
- Q Compute the slope (constant rate of change) of the line connecting the points.(-10, 21) and (20,-24).If the slope is undefined, enter N/A in the blank.The slope (constant rate of change)...
- Q Ms. Scott will pay $2,000 to have her house painted. The amount each painter earns, A, varies inversely for the number of painters, n, that will paint the house. Which...
- Q Find the equation in x and y for the line tangent to the curve given parametrically byx = sint, y = cost,at the point on the curve associated with t=?/4y...
- Q The point P(2, -1) lies on the curve y = 1/(1-x).(a) If Q is the point (x, 1/(1-x)), use your calculator to find the slope of the secant line PQ...
- Q The line y = x makes a 45 angle with the y-axis. What angle does the line y = x + 5 make with the y-axis? What angle would the...
- Q Graph the system below and write its solution.3x+y=-3y=-1/2x+2
- Q Graph the linear equation by finding and plottingintercepts.y = 3x
- Q Consider the following absolute value inequality.|9x + 7| < 10Determine which graph represents the original inequality.
- Q Let f (x) = 5x - 2. Describe the transformations from the graph of f to the graphs of g(x) = f(x - 5) and h(x) = f(x) +2.The graph...
- Q Line A has a slope of -2/5 and passes through the point (2, 6).Line B has a slope of 1/3 and passes through the point (-33, -2).Find the point where...
- Q The equation of line A is y= 7x + 14.Line B is perpendicular to line A and passes through the point (4, 13 3/77).What would be the solution to the...
- Q A drill is used to dig down into the earth. After 2 hours, the drill is 12 meters below. the surface. After 5 hours, the drill is 30 meters below...
- Q Use the following system of equations to answer the following:ax + 5y = 23x+10y = 4a. Write both equations in slope-intercept form. (You must show work in order to receive...
- Q Find the coordinates of both intercepts for the line. Express numbers in exact simplified form.-8x-3y=-23The X intercept has the coordinatesThe intercept has the coordinates
- Q Given g(x)=x-4x, find the equation of the secant line passing through (-4, g (-4)) and (2, g (2)). Write your answer in the form y=mx+b.
- Q A cell phone company charges $40 per month for unlimited calling, and $0.20 per text message sent. If t represents the number of text messages Roxy sent last month, which...
- Q Given g(x)=x-5x, find the equation of the secant line passing through (-3, g (-3)) and (4, g (4)). Write your answer in the form y=mx+b.
- Q Write the slope-intercept form of the equation of each line given the slope and y-intercept.Slope: -1/3y intercept: -3
- Q Answer the following as true or false. If it is false change the answer to make it true.a) The intersection of the centroid is the center or gravity for the...
- Q Graph the line that passes through the points (5,0) and (-5, 4) and determine the equation of the line.
- Q A waitress sold 13 ribeye steak dinners and 24 grilled salmon dinners, totaling $565.26 on a particular day. Another day she sold 20 ribeye steak dinners and 12 grilled salmon...
- Q It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 16 is6x + 9y = 15It follows that...
- Q What is the slope of a line perpendicular to the line whose equation is x - 3y = 12.Fully simplify your answer.
- Q The equation y = 1/2 x - 12 represents a function where x is the input and y is the output.Which of the following statements correctly describes the function?The graph...
- Q There is a line that includes the point (5, 5) and has a slope of 7/5. What is its equation in slope-intercept form? Write your answer using integers, proper fractions,...
- Q Find an equation for the line perpendicular to y=x+5 with y-intercept (0.-13). Write the answer in slope-intercept form.The equation of the line in slope-intercept form is(Simplify your answer. Use integers...
- Q You're a manager in a company that produces rocket ships. Machine A and Machine B both produce cockpits and propulsion sy stems. Machine A ran for 22 hours and produced...
- Q The phone company A Fee and Fee has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used...
- Q A graphing calculator is recommended.(a) Find the equation for the tangent line to the curve fix) = x - 3x + 6 at x = 2, writing the equation in...
- Q Select the correct answer below:x-intercepts: (7,0), (-5,0), and (-6,0). y-intercept: (0,0)x-intercepts: (-7,0), (5,0), and (6,0). y-intercept: (0,0)x-intercepts: (7,0), (-5,0), and (-6,0). y-intercept: (0, -210)x-intercepts: (-7,0), (5,0), and (6,0). y-intercept: (0,210)x-intercepts:...
- Q Solve the following equation. Be sure to check your proposed solution by substituting it for the variable in the given equation.7x-19=-124Select the correct choice below and, if necessary, fill in...
- Q Find the equation of the line through (3, 1) with slope 7. Enter your solution in the formy = mx + b.y =
- Q Below, one description, one graph, and one equation are equivalent. Choose the proper set.You start with 2 Xbox360 games and each month you buy 2 new games.You start with 3...
- Q Find the equation of the line through (8,-1) which meets the x-axis at x = 3. Enter your solution in the form y = mx + b.
- Q Find the equation of the line through (2, a) and (8, b).y =
- Q a. Rewrite the given equation 4x +9y-36=0 slope-intercept form.b. Give the slope and y-intercept.c. Use the slope and y-intercept to graph the linear function.
- Q Find where the line which passes through the two points (1, 2) and (3, 5) intersects the line through (2, 1) and (8, -7).x =y =
- Q Write an equation of a line in slope-intercept form through the point (1, -5) and parallel to a line that passes through the points (4, 3) and (-2, 9). Show...
- Q Screwball Jones, a mathematically-minded frog, tries to find the equation of the line containing the point (-6, -3) and perpendicular to 4y + 3x = 7 using the point-slope form.He...
- Q Find the equation of the line that passes through the point (1, 2) and is parallel to the line y = 9x + 2. Express your equation in slope-intercept form,...
- Q Let l be the tangent line to the parabola y = 3x at the point (1, 3). The angle of inclination of l is the angle that makes with the...
- Q The slope of a line that passes through two points (x?, y?) and (x2, Y2) (Select all that apply.)can be evaluated by y? over X1.can be written as ?y/?x.can be...
- Q Use the point-slope form to determine the linear equation with the information provided.Write your final equation in slope-intercept form.a. f(5) = -6 and f(-3) = 11.b. Containing the point (-16,...
- Q A line passes through the points (2, 10) and (5, 19). Find this line's equation in point-slope form.Using the point (2, 10), this line's point-slope form equation isUsing the point...
- Q The graph of linear function f passes through the point (4, -4) and has a slope of -2. What is the zero of f?A. -4B. 4C. 2D. -2
- Q Consider the line y=-2/3x+2.Find the equation of the line that is perpendicular to this line and passes through the point (-8, 3).Find the equation of the line that is parallel...
- Q Look at this graph:What is the equation of the line in point-slope form?Use the red point in your equation. Write your answer using integers, proper fractions, and improper fractions in...
- Q A line includes the points (3, -7) and (10, -8). What is its equation in point-slope form?Use one of the specified points in your equation. Write your answer using integers,...
- Q Find the equation of the line that is perpendicular to the line y = -4x and passes through the point (5,8) Write the equatin in point-slope form. Use this space...
- Q Write the standard form of the line that contains a y-intercept of -3 and passes through the point (3, 0). Include your work in your final answer. Type your answer...
- Q The table below represents a linear function. Identify the slope of the function.x y0 34 -48 -1112 -18
- Q Write an equation of the line that passes through (2,-4) and is perpendicular to the line defined by x-2y=-6. Write the answer in slope-intercept possible) and in standard form (Ax+By=C)...
- Q Write the equation of the line described below in point-slope form.Find the equation of the line that is perpendicular to the line y=-3x+6 and passes through the point (0, 0)Write...
- Q Find the slope of a line that is a. parallel and b. perpendicular to the line with the given equation.3x+y=8a. What is the slope of a line parallel to the...
- Q Write the equation of the line in slope-intercept form that has a slope of 2 and passes through the point (2,10).
- Q Put the following equation in standard forin: x = 10y - 9If, in standard form, A = 1, what are the values of B and C?
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