Q: For the point P(3,-20) and Q(8,-15), find the distance s (P,Q) and the coordinates of the midpoint M…
A: Note that the distance formula for points (x0,y0) & (x1,y1) is given by: d=(x0-x1)2+(y0-y1)2…
Q: 5. Find (f+g)(x) if f(x)=√16x4 and g(x) = 3x²-3x - 5. O (f+g)(x) = 7x²-3x - 5 O (f+g)(x) = x² + 3x…
A: I am attaching image so that you understand each and every step.
Q: Use substitution to determine the solution of the system of equations. Write the solution as an…
A:
Q: Divide the expression. 3 2x-5x³ +6x-21 2x-5 3 2x* -5x³ +6x-21 2x-5 (Simplify your answer.)
A:
Q: For f(x) = 1 -x and g(x) = 2x²+x+2, find the following functions. a. (fog)(x); b. (gof)(x); c.…
A: The given functions are: fx=1-x2 and gx=2x2+x+2 As we know from the definition of the composite…
Q: a) Let f and g be defined as fƒ\x² = x - 5 and gx=x²-1 f 1. f+g 2. f-g 3. fog 4. 5. g g f . Find,
A:
Q: (c)- Use the polar coordinates to find the volume inside the paraboloid z = x² + y² for 0 ≤ z ≤ 1
A:
Q: ent = A system of equations is graphed on a coordinate plane. Class Connect 5.11 Unit Test: Systems…
A: To find the solution graphically.
Q: What is an equation of the line that passes through the point (1, -7) and is parallel to the line 3x…
A:
Q: 2cosx 30. Prove that cos2x+1 did you use and why? secx Which double angle identity of cos2x
A:
Q: Multiplying and DIviding Radical Expressions
A: Concept: When the provided fraction has a radical term or a surd in the denominator, we rationalize…
Q: The product of 3371 and 1259 is 4244089. What is the gcd of 3371 and 4244089? 01 O 1259 O 3371…
A: Topic - Greatest Common divisor We are given, Product of 3371 and 1279 is 4244089
Q: The functions f and g are defined as f(x) = a) Find the domain of f, g, f+g, f- g, fg, ff, b) Find…
A:
Q: Use synthetic division to decide whether the given number k is a zero of the polynomial function.…
A:
Q: Find the augmented matrix for the system. 3x + 3y + 8z = -1 + 4z = -5 X 2x + y + Z = -3
A: I am attaching image so that you understand each and every step.
Q: Write an equation for a function that has the graph with the shape of y = |x|, but shifted left 7…
A:
Q: The length of a rectangle is 3 ft less than double the width, and the area of the rectangle is 27…
A:
Q: How many units are estimated to be sold if Skyline, Inc., has a planned production of 817,444 units,…
A:
Q: 4. Let B be the a basis of R², and let L: R² R² be the linear operator with the matrix |(4) 8 = 1 3]…
A:
Q: f: {0, 134 {0,1}4 f(x) is obtained from x by replacing the last bit with 1. For example, f(1000) =…
A:
Q: For the function: ax+b f(x) cx+d Find the value of f-¹ (x) for a=-1.1, b = 1.5, c = 2.9, d = -2.6, x…
A:
Q: K← Graph the following on the same coordinate system. 1 a) y = x² b) y = 5x² c) y=- x² 2 d) How does…
A:
Q: Use the graph of y=f(x) to graph the function g(x)=f(x)+1.
A: I am attaching image so that you understand each and every step.
Q: The function f(x)=x3+5 is one-to-one. a. Find an equation for f−1, the inverse function. b.…
A: The function f(x)=x3+5i s one-to-one. To be found: a. Find an equation for f-1 the inverse…
Q: 41. Choose the correct answer. How many real roots does the quadratic equation ² - 8+1=0 have? O not…
A:
Q: Find the determinant of the matrix below, using a cofactor expansion across ANY row or column. 36 4…
A:
Q: Which system of equations would result in the elimination of the x-value? a) 3(2x+5y=15)…
A:
Q: Select the value of [-.8].
A:
Q: For f(x) = 8x + 5 and g(x)=x², find the following composite functions and state the domain of each.…
A: The given functions are f(x)=8x+5 and g(x)=x2
Q: K Simplify the complex expression using either Method 1 or Method 2. x+6 3 x+6 3 X+6 3 X+6 - 12 12…
A: We have to slove above questions
Q: The system of linear equations is in upper-triangular form. Find all solutions of the system. (Use…
A:
Q: y varies directly as the cube root of x. When x=125, then y=15. Find y when x=1,000.
A: Given y varies directly as the cube root of x. That is y α x3
Q: Graphing Linear Equation in Standard Form
A: given 2x+y=4
Q: 6) y = -2x -1
A: The given equation is:y=-2x-1To graph it
Q: (-3-2) Ay y=2x G (Simplify your answer. Use integers or fractions for any numbers in the equation.)
A: Given query is to find the equation of the line L.
Q: 8) Find the x-intercept and y-intercept for the equation: 3x - y = 6. (Remember the x & y intercepts…
A: Solution:
Q: Which of the following is one of the first four terms of the expression 1 (√x+2y)"
A: Given :1x+2y2
Q: ¹1, ₁2² (2x - y) dA, where R is the region in the first quadrant enclosed by the circle x² + y² = 4…
A:
Q: What is an equation of the line that passes through the point (-2,-2) and is parallel to the line 5x…
A:
Q: < Perform the indicated operation. 7 7x+4 7x+4 +4= (Simplify your answer.)
A:
Q: If: y = f(x) = k ( 2²2²- a²x²-b² ax-b Find the limit of y as x tends to b/a for a = 6.6, b = 0.8, k…
A:
Q: A bucket in the form of a frustum of a cone of height 30 cm with radii of its lower and upper ends…
A: The Volume of Frustum of Cone =πh3R2+r2+Rr Where, h is the height of frustum of cone R and r are…
Q: 14. An inflatable raft is dropped from a hovering helicopter to a boat in distress below. The height…
A:
Q: 3) x-3y=-12 16 54-3-2-1 62 S x
A:
Q: The graph of the exponential function f (x) = b where 0 0 f(x) = b - a where a > 0 leading…
A:
Q: Graph the system of inequalities from the given problem, and list the corner points of the feasible…
A: Let's find corner points.
Q: F(x)=7x+2 a. F(-7) b. F(x+4) c. F(-x)
A: F(x)=7x+2 a. F(-7) b. F(x+4) c. F(-x)
Q: (i) Compute the product (123) (345) in the group S5. (ii) Compute the product (345) (123) in the…
A:
Q: 754 The expression(x-5) when evaluated is equal to
A:
Q: 28. Find the range and kernel (those are new words for the column space and nullspace) of T. (a)…
A: As per guidelines, I can answer maximum three sub parts of a question. Since you have asked for 4…
Step by step
Solved in 2 steps with 2 images
- The profit function of Acrosonic company is given by P(x)=-0.02x^2+300x-200,000 dollars, where x is the number of Acrosonic model F loudspeaker systems produced. Find where the function P is increasing and decreasing. 1.) Increasing a.) The profit function P is increasing on(7500,∞) b.) The profit function P is increasing on(7500,0) c.) The profit function P is increasing on (0,7500) d.) The profit function P is increasing on(∞,7500) 2.) Decreasing a.) The profit function P is decreasing on(7500,∞) b.) The profit function P is decreasing on(7500,0) c.) The profit function P is deccreasing on (0,7500) d.) The profit function P is decreasing on(∞,7500)4. A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x)= 80x-0.4x^2, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum? $....., at ....... unitsAging Drivers The number of fatalities due to car crashes, based on the number of miles driven, begins to climb after the driver is past age 65. Aside from declining ability as one ages, the older driver is more fragile. The number of fatalities per 100 million vehicle miles driven is approximately N(x) = 0.0336x3 − 0.118x2 + 0.215x + 0.7 (0 ≤ x ≤ 7) where x denotes the age group of drivers, with x = 0 corresponding to those aged 50–54, x = 1 corresponding to those aged 55–59, x = 2 corresponding to those aged 60–64, …, and x = 7 corresponding to those aged 85–89.† What is the fatality rate per 100 million vehicle miles driven for an average driver in the 50–54 age group? In the 75–79 age group?
- How to find f-1(x) of f(x)=x2-18x. Can you please give steps as well.If x-y less than zero then y-x should be greater than zero but the working above mentioned the opposite. Need the explanation.Polynomial Function of Data y = 1.2889x3 - 358.53x2 + 48536x - 34188 What is the second derivative, what is the point of inflection and round x to the nearest whole number its corresponding date? Explain the implications of the point of inflection
- Function f(x) = 2x^3 - 36x^2 + 210x - 7 has two critical numbers. Smaller number= Larger number=x¯=Σxn=618+660+......+5828=616.375s=Σx-x¯2n-1=618-616.3752+660-616.3752+......+582-616.37528-1=30.56 Please show me in detailsh(x) = 4/((x-1)^2) Show from the definition that the function h(x) = 4/((x-1)^2) is increasing in the interval (-∞, 1) and decreasing in the interval (1,+∞).
- lim t-4/|t-4| ? t-->4-3) Given that f(x) = 3x - 2 g(x) = 4x + 6 and h(x) = 2x2 -8 x Find:- i) f(-5) = ii) h[f(2)] = iii) f[g(-1)] = iv) hᴏf(x) v)= g-1 (x) 4. Given the functions g(x) = 3x + 1 find g-1(x) 2x - 4 5. Two numbers when multiplied equals 36. one number is x and the other number is greater than x by 5 a) Represent the information given in equation form b) Express as a quadratic equation c) Solve the quadratic equation to find possible value(s) for x d) If told that the two number were positive, give the values of the two original numbers. 6. Solve the following quadratic equations ( hint use the quadratic formula) a) 2x 2 - 6x - 20 = 0 b) 6x2 - 5x - 6 = 0 7. Find the equation of the line joining the points (2, 6) and (-2, 0) 8. Find the equation of the line passing through the point (4, 5) and perpendicular to the line 3y = 7 - 4x??????? ? (a) (i) Lim 5x −3 − 4/ 2x −2 + 9 x→∞ (ii) Lim (x − 3) 2/x2/2 − 2x − 3 x→∞ During a nationwide program to immunize the population against a new strain of the flu, public health officials determined that the cost of inoculating x% of the susceptible population would be approximately C(x) = 1.85x/100 - x million dollars. (i) What would it cost to providing immunization to the first 20% of the susceptible population? (ii) What would it cost to providing immunization to the next 30% of the susceptible population? (iii) Suppose 17 million dollars are available for providing immunization. What percentage of the susceptible population will not receive immunization? (iv) If money was not a problem will they be able to providing immunization to the entire susceptible population? (c) Determine the values of x for which the function f(x) = {2x2 – 4 x < 2 {x + 2 2 < x > 5 {7 x ≥ 5 is…