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Q: ( The length of a rectangular garden is two feet longer than its width) (A) Label each edge o...

A: part(a)The length of a rectangular garden is two feet longer than its width.Let the width of the rec...

Q: Out of 230 racers who started the marathon, 212 completed the race, 14 gave up, and 4were disqualifi...

A: Given that, there were 230 racers started the marathon.So, 100% is 230.Here 14 gave up and 4 were di...

Q: O LINES AND FUNCTIONS OD Paul Combining functions to write a new function that models a re... Españo...

A: Given information:The standard charge S (in dollars) is given by the function S=18.95+0.50M, where M...

Q: Use the given function to complete parts (a) through (e) below -92 f(x)-x At which zeros does the gr...

A: The function is given by,

Q: I do not understand the first three questions. Can you explain me?

A: In this question, It has been given that,Total No. of people = 8855 people liked Future 116 people l...

Q: On a reality tv show, an officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min h...

A: An officer is traveling 90 mph. He is chasing Jennifer who which had a 3 min head start before him. ...

Q: How would you factor x2(2x+3)5(x-4)2 to find the zeros and multiplicity?

A: The given expression is,

Q: You obtain a car loan of $28,500 for 5 years at 4.9% interest compounded monthly. A)You decide to p...

A: A)The loan amount on car loan is $28,500 at the interest of 4.9% for 5 years.In order to find the de...

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: #19

A: 19. The given equation is

Q: Write the standard equation of the circle shown in the graph. 1) -5 3 -2 -t .3

A: Known fact:The standard equation of the circle is (x - h)2 + (y -k)2 = r2

Q: O LINEAR EQUATIONS AND INEQUALITIES Paul Solving a value mixture problem using a linear equation Esp...

A: Let x be a number of pounds of type A coffee.Here, total number of pounds is 155 and two types of co...

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: #33

A: The slope-intercept form is y=mx+b. Given that slope=m= 3/5 . And it passes through (-7,-12). We can...

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: Consider an arithmetic sequence with the first term ai = 300 and common difference d = -90 Use the f...

A: From the given information, it is observed that the first term

Q: Question H An athlete whose event is the shot put releases a shot. When the shot whose path is shown...

A: Given infromation:An athlete whose event is the shot put release a shot. When the shot whose path is...

Q: For f(x)=x and g(x) = x + 4, find b. the domain of fog a. (fo g)(x) a. (fo g)x) (Simplify your answe...

A: (a)o represents the composition of functions and is defined as:Plugging the values,

Q: A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the sec...

A: Total gas consumption in the given week is 40 gallons.

Q: Solve the system. If there is no solution or if there are infinitely many solutions and the system's...

A: Consider the given system of equations:

Q: Find the vertex, y-intercept, and x intercepts of the quadratic, and then graph it. y = -x2-4x-3

A: Find the vertex of the quadratic.

Q: 8) Use f(x) x-4x +2 and g(x) 5x-4 for the following a) Find S-g b) Find (flg)(x)and give the domain ...

A: Click to see the answer

Q: Why is rounding a number important?

A: Rounding is a way of simplifying a number to make that easier to understand and work with.Moreover i...

Q: Ay The functions f(x)= 0.0875x-1.3x+61.7 and gox) = 0,0875x + 1.9x+11.1 model a car's stopping dista...

A: In order to find the stopping distance that exceed the length of one and one-half football fields, o...

Q: Can you help me to solve from 1 to 3?

A: Given polynomial is :

Q: # 13 and # 14

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

Q: Let D = {b, a, c, k}, E = {t, a, s, k}, F = {b, a, t, h}. Using these sets, find the following:20. F...

A: Let us consider the universal set as set of all alphabets. Then F^c contains all elements os U excep...

Q: Find the horizontal asymptote, if any, of the graph of the rational function. 10x2 gx)= $2 5x+8 Sele...

A: This graph has horizontal asymptote because the degree of numerator and denominator are same.

Q: O LINES AND FUNCTIONS Combining functions to write a new function that models a re... Leila and her ...

A: The amount saved by Leila,

Q: Write the quotient in standard form: f (x) = 5+i / 5−i

A: we are given a complex value as

Q: Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worke...

A: Let the first mechanic charged $x per hour. And the second mechanic charged $y per hour. Given that ...

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: what are the steps to solve an equation of quadratic type:2X+9√X=5

A: Given,

Q: 72 voters are asked to rank four brands of soup: A, B, C, and D. The votes are summarized in the fol...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: using the values a=4, b=2 and c=5, find the value of each of these expressions. a) 4a+2b b) 2a=b ove...

A: Click to see the answer

Q: A sample of 125 light bulbs contained 3 defective bulbs. How many defective bulbs would you expect i...

A: Given infromation:A sample of 125 light bulbs contained 3 defective bulbs.Calculate:P(defective)=3/1...

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

A: Calculation:The given quadratic inequality is (x–6)(x+4)≤ 0.Change the inequality sign by equal sign...

Q: 22828 8 What do you observe? 82843 A decimal approximation for 8 is 2.8284271. Use a calculator to f...

A: We are given

Q: Use the graph to determine (a) open intervals on which the function is increasing, if any. (b) open ...

A: Given graph is,

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: find the equation of a circle that has the center of (0,3) and passes through (2,-5)

A: From the given statement, the center of the circle is (0, 3) and it passes through (2, –5).

Q: Use the Rational Zero Theorem to list all possible rational zeros for the given function. fx) -3x-4x...

A: First we have to find all the factors of 6.

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: The graph of a quadratic function is given. Write the function's equation, selecting from the follow...

A: The given quadratic equations are as follows.j(x)=-x²–49, f(x)=x²+14x+49, h(x)=x²–49, g(x)=x²–14x+49...

Q: If two opposite sides of a square are increased by 12 meters and the other sides are decreased by 10...

A: Given that two opposite sides of a square are increased by 12 meters and the other sides are decreas...

Q: Consider the quadratic function below and (a) find the vertex (b) find the axis of symmetry and (c) ...

A: Find the vertex of the given function.

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: The length of a brick path is 12 feet. (A) You want to add an equal, unknown length of stones at eac...

A: part(a)The length of a brick path is 12 feet.An unknown length is to be added at each end of given b...

Q: Function g is related to the parent function. Identify the parent function f. g(x)=4-[[x]] a. Con...

A: Consider the given function:

Q: Shown to the right is a scatter plot that indicates a relationship between the percentage of adult f...

A: Indicated points are (0,250) and (60,160).Slope= -1.5 and y intercept= 250.Answer(a): f(x)= -1.5x+25...