Find (f o g)(5) and (go f)(5). f(x) 3x-1; g(x)= x2 -3 (f o g)(5) =

Q: A small airplane can travel 600 miles in 4 hours with the wind. The return trip against the wind tak...

A: Let p be the speed of the plane in still air and w be the speed of the wind.

Q: Can someone help me with this problem?

A: Given,

Q: Graph the function f(×)=[×] g(×)=[×]-2

A: We first  make a table for f(x)=[x]Where [-3,-2) means -3<= x <-2 and so on.

Q: Two investments earn an annual income of $853. One investment earns an annual simple interest rate o...

A: Given,Total investment = $9,000Income required per year = $853

Q: Can someone help me solve this problem? It is number five

A: Given,

Q: Number 13 is the one I am having trouble with. I have to solve for the equation.

A:

Q: Can someone help me solve this problem ?

A: We have to plug x=80 in f(x) and then we find f(80).Answer(a): f(80)=54Option(B): which means that t...

Q: Find the following funtion f(x)=4x^2+2x-4 F(0)

A: Given function is

Q: An average score of 90 or above in a history class receives an A grade. You have scores of 86, 95, a...

A: Given that, the average score of 90 or above in a history class receives an A grade.The first three ...

Q: What are the blanks?

A: Given:

Q: Evaluate the discriminate for the following equation then use it to determine the number of distinct...

A: Given,

Q: How do I multiply and divide fractions?

A: Let us take two fractions,

Q: Find the slope m of the line containing the points (9, 9) and (2, 4). (Enter an exact number as an i...

A: The given points are (9,9) and (2,4). 

Q: Can someone help me with this problem?

A: Let x represents the number of birth years after 1960 and let y represents male life expectancy.

Q: Suppose matrix A is m×n and B is n×p. Prove that if the columns of B are linearly dependent, then th...

A: Let A be m by n matrix and B be a n by p matrix. 

Q: The pilot of a Boeing 777 jet takes off from Boston's Logan Airport, which is at sea level, and clim...

A: Consider the given rate of climbing of the plane and the cruising height of the plane: 

Q: Decide whether or not the equation has a circle as its graph if it does give the center and the radi...

A: Consider the given equation as x2+y2+10x+4y+20=0.

Q: 57. (-3 5i) (2 + 4i)

A:

Q: The profit P, in thousand of dollars, that a manufacturer makes is a function of the number N of ite...

A: Given, 

Q: Find vertex formula,vertex, axis of symmetry, y-intercept,x intercept, maximum and minimum  Y=0.2x2 ...

A: Given equation of curve is

Q: It is linear algebra. Please see the attachment

A: Consider the given differential equation: 

Q: The functions f and g are graphed in the same rectangular coordinate system, shown to the right. If ...

A: From the given figure, it is observed that the graph of g(x) is a reflection of f(x) across x-axis a...

Q: Inequalities Complete the table below. Each row represents an inequality in Inequality Notation, as ...

A: (i)To plot the below given inequality on a number line, and express the inequality in interval notat...

Q: Graph the given equation. First plot the solutions of the equation for the given values of x, and th...

A: Given, 

Q: Solving Equations Solve for the variable in each of the following equations integers Be sure to writ...

A: As per norms, the first three questions are answered.

Q: 22 f(x) (10 )(19 x)(13+2x)(7 2x)

A: Expand the given function as follows.

Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

A: a)The total profit function can be computed as follows.

Q: Find the slope of the line containing the given points. (If an answer is undefined, enter UNDEFINED....

A: We’ll answer the first question since we are entitled for one part of the problem only. If you want ...

Q: A state makes license plates with two letters followed by four numbers with no repetitions of the le...

A: Since, the license plates contain two letters followed by four digits.So, the number plates will be

Q: an air traffic controller is tracking two planes. To start, plan A is at an altitudeof 5000 feet and...

A: Given that plane A is at an altitude of 5000 ft and it is gaining altitude 40.25 ft per second. Also...

Q: A grass seed mixture sells for $1.74 per pound. The mixture was created by mixing Michigan Premium g...

A: Given, A grass seed mixture sells for $1.74 per pound. The mixture was created by mixing Michigan Pr...

Q: Can someone help me with this problem?

A:

Q: Find the domain and the range of the following function. x+ 3, for x or f(x) = O B. ff(x) I f(x) s ...

A: We are given the function,

Q: How would I draw the circles to these points?

A: (1) It is known that, the standard form of the equation of a circle with the center at (0,0) is,x2 +...

Q: Solutions to Equations Determine which of the following are true statements. Check all that apply 1 ...

A: Check which of the statement is true or false.In 1st statement we have to check: Is y=6 solution of ...

Q: Consider the following function. 2x+3y=9Use the domain {-3,0,6} to find solution points that should...

A: To determine the solution of the equation 2x + 3y = 9 using the domain {-3, 0, 6} and select the poi...

Q: For the piecewise function, find the values g( - 9), g(3), and g(6) x+8, for xs3 g(x)= 4 x, for x> 3...

A: Given, 

Q: Write a polynomial, P(x), in the factored form given the following requirements. Degree: 3 Zeros at...

A: The given degree of the polynomial is 3, the zero’s are at (3,0), (–5,0) and (–1,0) and y-intercept ...

Q: Heather is considering purchasing an item that costs $17. The sales tax in Heather's area is set at ...

A: The sales tax in Heather's area is set at 6.6%So, she has to pay (100+6.6)% =106.6% of the price.

Q: find an equation of the line that contains the given point and has the given slope. M= -2, (3,-9)

A: Consider the given point (3, –9) and the slope –2.Point-slope equation of a line is given by,

Q: Simple Interest Application PPrt. Where A is the balance of the account after t Simple interest is g...

A: Given,

Q: Solve for t: tx3 = t + 7

A: Subtract t from both sides.

Q: Is  (6, 2)(6, 2) a solution of  x−5y=−3x−5y=−3?

A: Consider the given equation for x and y:

Q: Find the following funtion f(x)=3x^2+2x-2 F(x+1)

A: To determine the value of given function at x= x+1.

Q: Find (f o g)(x) and (g o f)(x) for the indicated functions. X+9 f(x) 5x-9, g(x) = (Simplify your ans...

A: Consider the given functions:

Q: At the city Museum child admission  is $5.60 and adult admission is $9.10 on Sunday 141 tickets were...

A: At the museum child admission ticket fees is $ 5.60 and adult admission ticket fees is $ 9.10 . Let ...

Q: I + 4 I -2 3) f(r) f(-2) = f(3) = f(-4) = X 0

A: To determine the values of f(x) at the presribed points following the defintion (f(x) is defined in ...

Q: Can someone help me with this problem?

A: Consider the given range of temperature in Celsius.-120 C to 170 C

Q: It is linear algebra. Please see the attachment

A: The given linear ordinary differential equation (ODE) is

Q: Create three equations from the stated problem and then solve. The sum of three numbers is 14. The l...

A: In the first equation: The sum of three number is 14. Let the three number be x, y and z. So, the fi...