3%1-6-3

Q: A car manufacturer estimates that 25% of the new cars sold in one city have defective engine mounts....

A: Given information:A car manufacturer estimates that 25% of the new cars sold in one city have defect...

Q: The length of a rectangle is seven more than it’s width. If the area of the rectangle is 170sq cm, w...

A: Let the width of a rectangle be x cm.Then the length will be (x + 7) cm             [because, length...

Q: Find the coordinates of the vertex of the quadratic functions beneath:   y=3x2 y=3x2-2 y=-x2+3

A: (a)We can compare with quadratic equations and find a , b and c 

Q: Solve the given equation for x - 1•9 - 6 x = 7 •1

A: To solve the equation, PEMDAS rule is used to simplify the equation and then the variable is isolate...

Q: O SYSTEMS OF LINEAR EQUATIONS Solving a word problem using a system of linear equations of. A store ...

A: Let the cost for each pound of trail is $x.Let the cost for each pound of trail is $y.For 9 pounds o...

Q: Please answer the attached question. Thanks a lot

A: (a)Let T(x) represents the amount of tritium remaining in grams after x years and T(0) represents th...

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: Sketch the graph of the quadratic function f (x) = x 2 + 3x + 1/4 without using a graphing utility. ...

A: (1)We are given quadratic equation 

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: The midpoint of PQ is M (4, -3). One endpoint is P Find the coordinates of the other endpoint, Q. (7...

A: The given system is,

Q: Solve for m

A: Divide both sides by "a" first.

Q: #23

A: Given: The point that the line passes through is (−2,3).The equation of the line which is perpendicu...

Q: find the equation of a circle whose diameter has endpoints (-3,-3) and (-3,6)

A: We have been given endpoints of diameter of circle as (-3,-3) and (-3,6) and we need to find the equ...

Q: 11) In 2006 the average yearly tuition of a private college was $30,000, and it is projected to incr...

A: Let x represents the number of years after 2006 and $ y  represents the yearly tuition fees, When x=...

Q: (X) 16 (D) 16 (E) 256 26. The sequence A is defined by A 100 terms in sequence A? A +2 for each inte...

A: Given, A_1=45 and An=A_(n-1)+2. Using n=2,3,4,.. in this expression we get: A_2=47,A_3=49,A_4=51,......

Q: A boat's crew rowed 72 kilometers downstream, with the current, in 4 hours. The return trip upstream...

A: Let's assume x is average rowing velocity of the crew  in still watery is average velocity of the cu...

Q: #38

A: From the given information, it is observed that the total length of the hardwood floor is 72-in. and...

Q: If a given line has a negative slope, then what is the sign of the slope of the line that is perpend...

A: Given information:The line has a negative slope.

Q: Solve the system of liner equations by any method. {X=3y+5 {4x-12y=20

A: The given system of equation is,

Q: # 41      # 42

A: Find the invested amount in both accounts.Let P be the principal amount.Here, the total simple inter...

Q: a. Rewrite the equation 5x + y +4 0 in slope-intercept form. b. Give the slope and y-intercept. c. U...

A: a. The given equation is 5x + y + 4 = 0. The slope intercept form of the linear equation is y = mx +...

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

A: Adding second and third equation

Q: 6 and g(x) = X find the following functions For f(x)= X a. (fo g)(x), b. (g o f)(x), c. (f o g)(7), ...

A: The given functions are

Q: 3m+24=6m-3

A: Firstly, we subtract 6m from both sides of equation and then we subtract 24 from both sides

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: Given the graph what are the intervals on which f is one-to-one (Simplify your answer).

A: We have a graph of the function and write the interval where given function 'f' is one-to-one.

Q: How ti solve? Step by step

A: Simplify the given expression as follows.

Q: Find an equation of the circle whose diameter has endpoints (-3,6) and (-3,3)

A: To calculate the equation of the circle from the provided endpoints coordinate of diameter. The endp...

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: Given the following function (a) find the vertex (b) determine whether there is a maximum or a minim...

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

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: Write an equation for the function that is described by the following characteristics.   The shape o...

A: The function is given by,

Q: Scientific notation is a common way of writing very large numbers. In everyday life we see this when...

A: (1)It is given that phone has 10 GB (gigabytes) free storage:Since,

Q: fx) = 5x-3 g(x) 2x-1 Let the functions f and g be given by the equations on the right. Evaluate the ...

A: The given functions are f (x) = 5x – 3 and g (x) = 2x – 1.

Q: Fill in the blank so that the resulting statement is true. To divide x + 4x-3x +8 by x-5 using synth...

A: The given polynomial is x3+4x2-3x+8.

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: Consider the following statement: Mary wants to (spend, at least spend, at most spend) 20 minutes a ...

A: In this question, we have statements which we have to write in expression form, the statement is:Mar...

Q: List all values of x for which each rational expression is undefined.

A: Given information:The given function is as shown below: 

Q: Condense the expression to the logarithm of a single quantity (c) 4 [lnz +ln(z +5)] −2ln(z −5)

A: Consider the provided expression.

Q: X2-x-4=0

A: Given,  

Q: #32

A: Question: To write the equation of a line in Slope-Intercept form and Standard form that has a slope...

Q: #14

A: Explore: The admission rate for adults in a water park is $19 and for children, it is $16. The group...

Q: The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate ...

A: We are given decaying rate r=7%r=0.07

Q: #6

A: Any line parallel to 7x+y=3 will have form 7x+y=k.

Q: Solve each system by elimination #6

A: The system of equations is given as

Q: The following equation is given. x3-3x-4x+12=0 X a. List all rational roots that are possible accord...

A: a. Find the possible rational roots.

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: Discuss the relationship among the lines with equations y = 2x + b, where b is any real number.

A: Explanation:The equation of line is y=mx+c where m be the slopw of line and c be the y-intercept.Com...

Q: Given the function f(x) = vx-7, (a) Find f (x) (b) Graph f and f (c) Use interval notation to give t...

A: We first replace f(x) by y. Then we switch x and y and solve for y. This new y is replaced by f^-1(x...

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...