10. Given the function f(z)=(x-1)²; z ≤0 a. Find an equation for f-¹ (z). b. Graph f and f-¹ (z) in the same rectangular system. Also sketch the line of reflection and give its equation.

Q: Write the equation of the circle centered at (6, 7) with diameter 18. -

A: center of circle=(6,-7) diameter=18

Q: If 18% of a radioactive substance decays in 18 hours, what is the half-life of the substance? Round…

A:

Q: other options or those two are the only correct ones?

A: Given query is to find the average cost function

Q: Identify the corresponding terms in each expression 1. 7a 2. 3x² +1 3. 10a+b 4. 25m²+10m 5. 40xy+11…

A: Note- According to Bartleby guidelines we are supposed to do only one question with subparts . If…

Q: Find the derivatives of the following: 1. (x-3)²x

A: according to bartleby guide line we do only first part let y=(x-3)2x dlnxdx=1xlnxn=nlnxdxndx=nxn-1d…

Q: Question 13 You need a 65% alcohol solution. On hand, you have a 105 mL of a 35% alcohol mixture.…

A:

Q: A student is taking a 12-question multiple choice test. Each question has 5 choices. How many ways…

A: Total possible ways the student can fill the answer sheet 512 , because he has 5 options in the 12…

Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: According to question, Given Functions, px = 400-0.5 xandcx = 20,000 + 135 x

Q: f(x) = 2x16x³ + 22x² + 40x

A:

Q: Kara has 10 books on a shelf and decides to move 3 of them to an empty shelf. In how many different…

A: Given query is to find the number of ways to filled the empty shelf.

Q: Find the integral of the following function by parts So S al cos 0 + b de where a = 8.2, b = 9.6 in…

A: Given query is to find the value of the integral.

Q: Given the ellipse (x - 3)² (y-4)² + 36 25 Find the center point: List the vertices (separated by a…

A:

Q: 4 For the functions f(x)= and g(x) x-3 the domain using interval notation. (fog)(x) = Domain of fog:…

A:

Q: Use synthetic division to divide the first polynomial by the second. 5) -5x3 - 8x² + 9x + 10 x + 2

A:

Q: A sample of 400 g of radioactive​ lead-210 decays to​ polonium-210 according to the function…

A:

Q: At the end of a certain year, the four organizations ranking 5 through 8 in home Internet users in…

A:

Q: Solve the following inequalities: (i) 5(11-q) 15 - 2x ²<8 - 5m

A:

Q: A deli sells 720 sandwiches per day at a price of $6 each. (A) A market survey shows that for every…

A:

Q: Darby has a $50 gift card to spend at a coffee shop. Each cup of coffee is $2.40. Write and solve an…

A: Value of gift card=$50 Cost of 1 cup of coffee=$2.4 The amount required for an insulated mug=$8

Q: ermine the number that must be added to the expression to make it a perfect square trinomial. Then…

A: Given query is to find the number to make the expression perfect square.

Q: (a) Evaluate A (15) and interpret its meaning in the context of this problem. Round to the nearest…

A: Given functionA( t ) = 100e0.0318t

Q: Take the Laplace transform of the IVP dy + k²y = e-sty(0) = 0,y (0) = 0 dt² Use Y for the Laplace…

A: The given differential equation is: d2ydt2+k2y=e-5t ,       y(0)=0,    y'(0)=0

Q: 4/x-7=7/x+6

A:

Q: 7. Let ƒ(x) = 4x − 3, g(x) = x² + 4, h(x) = x + 5. Evaluate the following.

A: Given f(x) = 4x - 3 g( x ) = x2 + 4 h( x ) = x + 5

Q: The period T of a pendulum (the time elapsed during one complete s (a) Express this relationship by…

A: Given query is to find the relationship for the period of the pendulum.

Q: Divide. (35x7-6-20x7-2)+(-4x4-³) Simplify your answer as much as possible. 0 X 8 3

A:

Q: ) Use the Gaussian-Jordan Method to solve the following matrix 2 0 0 1 2 2 2 1-1. 1 0 l1

A:

Q: Use the Pythagorean Theorem to determine the value of x and the measurements of all sides of the…

A: We have to find the value of x.

Q: Include all points for graphing

A: Topic:- calculus

Q: Find the coordinate vector [x] of x relative to the given basis B = {b₁,b₂, b3}. b₁ = 1 - 1 - 3 , b₂…

A:

Q: Perform the indicated operation 51. If f(x)=x²-5 and g(x)=2x-3 find: axf+g)(x) @bxf-9xx) c) (f.…

A:

Q: For the functions f(x) = notation. (fºg)(x) = Domain off og: 5 x+2 and g(x)= 11 x+2' find the…

A:

Q: 8x + 6y = 56 4x-4y= 28

A: 8x + 6y = 564x - 4y = 28 there is two equation and there are two variables so we can find the…

Q: Calculate (-3x*-5x²+x-12) + (x + 1) using long division. a. -3x² - 2x-2 remainder -10 b.…

A: We have to slove above polynomial questions

Q: 8. Evaluate S dx x4+x² + 1

A: To find:- ∫0∞dxx4+x2+1dx

Q: For those which are polynomial functions, find the degree, the leading term, and the leading…

A: Given the polynomial function is fx = 5+6x-7x3

Q: Find the dimensions of a rectangular rug whose perimeter is 20ft and whose area is 21ft^2   ^…

A:

Q: You have taken a loan of $6,000.00 for 4 years at 2.5% compounded monthly. Fill in the table below:…

A:

Q: Solve the linear system of equations by substitution. 5x-2y+3z=4 -4x+6y-7z= -1 3x+2y-z= 4

A: We need to solve the linear system of equations by substitution 5x-2y+3z=4 -4x+6y-7z= -1 3x+2y-z= 4

Q: d. | 5x6 +72-8

A:

Q: mpany estimates that it will need $62,000 in 15 years to replace a computer. If it establishes a…

A: Given query is to find monthly payment.

Q: Find the absolute maximum and minimum, if either exists, for f(x)=x²-10x+5. Select the correct…

A:

Q: The graph of f(in blue) is translated a whole number of units horizontally and vertically to obtain…

A: Given query is to find the transformation applied.

Q: Solve the following equation graphically. 5x+5=4x² H The solution(s) is/are (Use a comma to separate…

A: Solution: Given data, 5x+5 = 4x2

Q: consumer buys a used car for $19600 with monthly payments of $370, an annual interest rate of 3.74%.…

A: Given query is to find number of payment.

Q: хи +X3-Хү=1 2xi+3X, X, -3 X2+2*3 -Хи= 2 ЧХ, +2 X2-3X3+ Жи=1 хи X,+ X2 + X3 + Хи = хи 6 б

A: Given 2x1+3x2+x3-x4=1,x1-3x2+2x3-x4=2,x1+2x2-3x3+x4=1,x1+x2+x3+x4=6

Q: Although it is not defined on all of space R³, the field associated with the line integral below is…

A:

Q: For the graph of y = f(x) shown to the right, find the absolute minimum and the absolute maximum…

A: As we know  For absolute maximum and minimum we need to look out value of function fx in closed…

Q: Given the functions: f(x) = x³ - 2x g(x)=√4x h(x) = 6x+5 Evaluate the function h (g(x)) for x = 4.…

A: We can solve the given problem in the below steps using the property of composite function.

Q: What length of 2 in. stock is needed to bend a piece of steel into the shape as shown to the right?…

A: