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Q: Juan types at a constant rate. He can type a full page of text in 3.5 minutes. We want to know how...

A: Click to see the answer

Q: 3 Express the given function h as a composition of two functions f and g so that h(x) =(fo g)(x), wh...

A: Given that h as a composition of two functions f and g.

Q: # 90 and #91

A: 90. Solve a formula for a specific variable.

Q: Find the midpoint M of the line segment joining the points A=(1,-2) B=(-7,-8)

A: The given points are…A=(1,-2 ) and B=(-7,-8)The formula to calculate mid-point is…

Q: Find the domain of each of the functions below. f (x) = 5x^2 +2x −1 f (x) = 1−2x^ 2 f (t) = 4/ t

A: Given information:The given function is shown below:a) f (x) = 5x^2 +2x −1b) f (x) = 1−2x^ 2c) f (t)...

Q: 6 of 30 (4 complete This Question: 1 pt Without graphing, determine whether the equation has a graph...

A: The equation is given as

Q: The hypotenuse of a right triangle is 5 ft long. The shorter leg is 1 ft shorter than the longer leg...

A: The length of the hypotenuse of right triangle is 5 ft.Let the length of longer side is x ft.Let the...

Q: Find the quadratic function y=ax+bx+ c whose graph passes through the given points (3,29), (2,-26), ...

A: We have been given three ordered points and we need to find a quadratic function passing through tho...

Q: Find the indicated difference quotient and simplify your answer. f (x) = x 3 +3x, f (x +h)− f (x) /h...

A: Using given f(x) first find f(x+h).

Q: There are 36 apple trees in an orchard. Each tree produces 900 apples. For each additional tree plan...

A: To calculate the number of trees that should be added to the existing orchard to maximize the total ...

Q: #21 and #22

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: Solve the compound inequality. -3v 6 2v-4 4 or Write the solution in interval notation If there is n...

A: The compounded inequality is given by,

Q: A local sandwich store has a fixed weekly cost of $570.00, and variable costs for making a roast bee...

A: One sandwich costs $0.45 So, x sandwichs cost $0.45x.Fixed cost is $570So, weekly cost= 0.45x+570Ans...

Q: graph g(x)=4log1/2x plot at least two points on the graph, draw all asymptotes,

A: Given information:The given gunction is g(x)=4log1/2x.

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the gra...

A: Calculation:Simplify the given function as follows.

Q: First find f+ g, f-g, fg and Then determine the dormain for each function. 9 9x+5 8x+3 f(x)= g(x)= 2...

A: The functions are

Q: Let f(x) = 4x2 + 6x -5 and simplify f(2+x)

A: The given function is f (x) = 4x2+6x–5.

Q: The graph of a quadratic function is given. Match the equation with its graph. fx)-(X + 4)2-1 ) (X-4...

A: (a)We can find vertex of first function

Q: 33 and 34

A: (13) Let Felix invests $ x amount at 7% annual interest and then according to question, the amo...

Q: A decimal approximation for 8 is 2.8284271. Use a calculator to find 28 22.83 22.828 22.82843 and 22...

A: We are given

Q: Determine algebraically whether f and g are inverse functions. f(x) = 5x - 3 g(x)= x+3/5

A: Given:The functions f(x) = 5x - 3 and g(x) = (x+3)/5

Q: Explain how f (x) = (x − 1)2 + 3 is obtained from f (x) = x2.

A: Given f(x)=x^2, to obtain f(x)=(x-1)^2 from f(x)=x^2 we have to shift the graph to 1 unit right.

Q: Last year, Isabel had $20,000 to invest. She invested some of it in an account that paid 7% simple i...

A: Given:Isabel had a total amount of $20,000 to invest.One of her invesetment gave her a 7% interest a...

Q: What is the hypothenuse of an octagon?

A: Hypotenuse is the longest side of a right-angled triangle, opposite the right angle.

Q: if x<0 and y>0, determine the sign of the real number. 1 (a) xy (b)x2y (c) x/y +x (d) y-x

A: Calculation:(a)The condition on given real numbers are x<0 and y >0.That is, the condition x&l...

Q: If a given line has a slope zero, then what is the slope of the line that is perpendicular to it?

A: If the slope of a line is m, then the slope of the perpendicular line to it is -1/m.

Q: Divide −4x2−2x+14 by 2x+3 Write your answer in the form: −4x2−2x+14=(2x+3)×q(x)+r(x) −4x...

A: Click to see the answer

Q: (x+9)/8 = 5/4 +(x-3)/2

A: To calculate the value of x from the provided equation which is shown below,

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as ...

Q: Determine whether the following statement makes sense or does not make sense, and explain your reaso...

A: We can rewrite the equation y=mx+b in the form mx-y+0z=-b

Q: Find an equation of the circle whose diameter has endpoints , 46 and , 4−4 .

A: To write down the equation of satisfied by all the points on the given locus

Q: what is the square root of 291

A: The square root of 291 is,

Q: #27 Bill drives 120 miles from his house in San Diego to Los Angels for a business meeting. Afterwar...

A: Let the average driving speed be x miles /hour , then we calculate the time taken in both the trips,...

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the or...

A: We are given logarithmic equation as

Q: 50) Use the graph of f(x) shown for the following: a) Identify x values where: f(xs undefined f(x)=0...

A: a) It is clear from graph, if x approaches 1 from left , f(x) approaches -infinity and if x approach...

Q: One number is seven less than four times another number. If their sum is 103. Find both numbers.

A: The given statement is

Q: What is the equation of the function that is obtained from f (x) = | x | by reflecting about the x -...

A: Given information:The given function is

Q: Solve and graph the solution on a number line: x-3>1

A: We are given an inequality as

Q: Use the graph of y f(x) to graph the function g(x)=f(x + 4) Choose the correct graph of g below y fx...

A: Refer to the question, with the use of the provided graph of y = f(X) we have to find the graph of t...

Q: (-1+i)-(-7+4i)-5

A: Simplify the expression (–1+i) – (–7+ 4i) – 5 as follows.(–1+ i) – (–7+ 4i) – 5 = –1+ i +7– 4 i – 5 ...

Q: A woman earned wages of $40,400, received $2000 in interest from a savings account, and contributed...

A: (a) To determine the person’s gross income.The gross income consists of the total income, the total ...

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linttarinequality Interval notation Espa...

A: The first inequality is,

Q: how can you figure out the end behavior of the function 1/2(x-1)(x+1)^3(x-2)^2

A: Given:The function is

Q: How ti solve? Step by step

A: Simplify the given expression as follows.

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a compound linear inequality: Interval notation Esp...

A: We first solve for x from 4x+1>=21

Q: Use the graph of the rational function to complete the following statement As x4, f(x) -5 As x4, fx)...

A: x-> -4^- means slightly less than -4.

Q: Suppose that the amount of time it takes to build a highway varies directly with the length of the h...

A: Time (T) is proportional to the length of the highway (L) and inversely proportional to the number o...

Q: Solve the rational inequality and graph the solution set on a real number line. Express the solution...

A: Given,

Q: What is the inverse equation for (x+2) over x? x+2 x

A: Given information:The given function is

Q: Solve the inequality using a graphing utility. X+ 1 s2 X- 2 Graph the given inequality using a graph...

A: Calculation:Use a graphing calculator and obtain the graph of the given rational function as shown b...