For f(x) = 7x and g(x) = 7x, find (f o g)(x) and (g o f)(x). Then determine whether (fo g)(x) = (g o f)(x).

Q: Write the first five terms of the arithmetic sequence with a 1 = 10 and a 20 = 67.

A: Consider the given arithmetic term

Q: solve the system by using Gaussian elimination or Gauss-Jordan elimination. 5y=x+2z+1 2(x-5y)+4z=-2 ...

A: Given:

Q: solve the equation or inequality. Write the solution set to the inequalities in interval notation. |...

A: Given equation is,|3x − 5| = |2x + 1|Consider (3x – 5) = 03x = 5x = 5/3Consider (2x +1) = 02x = -1x ...

Q: Solve the following system of equations using matrices (row operations). If the system has no soluti...

A: To solve the below system of equations.

Q: Gaynelle can travel one of 3 roads from her home to school. From school to work there are 4 differen...

A: Given,Gaynelle can travel one of 3 roads from her home to school. From school to work there are 4 di...

Q: Compute the sum of all integers between 60 and 150 that are exactly divisible by 8.

A: Consider the given range of number 60 to 150

Q: The ratio of two numbers is 4 to 3. The sum of the squares of the numbers is 100. Find the numbers.

A: Let the numbers be x and y.

Q: If the third and fourth terms of an arithmetic sequence are −6 and −9, what are the first and second...

A: Given,

Q: Consider the following system. By inspection describe the geometrical relationship among the planes ...

A: Divide both side of 2x+2y+2z=2 by 2Then we get x+y+z=1

Q: Find the 19th term of an arithmetic sequence with a1 = −11 and a30 = 163.

A: Using a1 = −11 and a30 = 163 find common difference dUSe the term formula of AP.

Q: For Exercise, solve for the indicated variable. 3x− y= −8 for x

A:

Q: use the definition of a one-to-one function to determine if the function is one-to-one. Recall that ...

A: A function f is one-to-one if any one or both of the following conditions are satisfied:

Q: Which of the two rates would yield the larger amount in 1 year: 9% compounded monthly or 9% compound...

A: 9%=0.09If compounded monthly then in 1 year it will be compounded 12 times. Initial amount = P , A=F...

Q: Find the effective rate of interest for 11% compounded continuously. The effective rate of interest ...

A:  The effective rate of interest for 11% compounded continuously

Q: Algebra Question

A: 7+5i is a complex number. Whenever a complex number is a zero of a polynomial then its conjugate is ...

Q: Find the principal needed now to get the given amount; that is, find the present value. To get $800 ...

A: Given rate is 3%. So the effective quarterly rate is ¾ %. Let present value be x. We get 

Q: Two algebraic methods to solve a system of linear equations in two variables are the __________ meth...

A: Find the two algebraic methods to solve the equations with two variables.

Q: Find the 6th term of a geometric sequence with a 1 = −3 and r= 2.

A: Find the 6th term of a geometric sequence with:

Q: Given a geometric sequence with a 3= 20 and a 8= 640, find a 1 and r

A:

Q: For Exercise, set up a system of linear equations to represent the scenario. Solve the system by usi...

A: Consider the three pumps A, B, and C can pump the water as A gal/hr, B gal/hr and C gal/hr respectiv...

Q: Explain why interchanging two rows of an augmented matrix results in an augmented matrix that repres...

A: Given:

Q: A review sheet for a history test has 10 essay questions. Suppose that the professor picks 3 questio...

A: Given

Q: Write the first five terms of a geometric sequence with a1 = 120 and r=2/3

A: Formula:

Q: Given an arithmetic sequence with a14 = 148 and a35 = 316, find a1 and d

A: Use the term formula to get two equations of a_1 and d 

Q: If two fair dice are thrown, find the probability that the sum is between 6 and 8, inclusive.

A: Total number of possibilities:

Q: Approximate the value of log5417 to 4 decimal places.

A: Use the chnage of base rule of logarithm. 

Q: Graph the function f(x) = (x+ 1) - 3 by starting with the graph of y =x and using transformations (s...

A: Given the function f(x) = (x+1)2 – 3.Start with y = x2.

Q: Find the 23rd term of an arithmetic sequence with a1 = 15 and a57= 239.

A:

Q: For Exercise, solve the equation. Write the solution set with exact values and give approximate solu...

A: Divide botth sides by 2.

Q: find the sum.8 + 12 + 16 + 20 + 24 + 28 + 32 + 36 + 40 + 44

A: It is required to calculate the sum of:

Q: A disc jockey has 7 songs that he must play in a half-hour period. In how many different ways can he...

A: He can pick first song in 7 ways Second song in 6 ways Third song in 5 ways and so on.7th song in 1 ...

Q: Explain the difference between a permutation and a combination of n items taken r at a time.

A: Two types of counting problems occur so frequently that they deserve specialattention. These problem...

Q: solve the equation or inequality. Write the solution set to the inequalities in interval notation. 0...

A: Given: -

Q: Explain how to add or subtract matrices.

A: Two matrices can add or subtract only if they have the same dimension.

Q: For exercise, a. Evaluate the determinant of the coefficient matrix. b. Based on the value of the de...

A: According to the given question it is required to evaluate the determinant of the coefficient matrix...

Q: Determine the quadratic function f whose graph is given. The vertex is (2, – 2) and the other given ...

A: Given graph is parabola and the given vertex is (2, -2) and one point on the parabola (1, 1).

Q: Perform the row operation(s) on the given augmented matrix. R2 = - 2r1 +r2 - 5 3 - 4 - 3 4 - 2 - 1 -...

A:

Q: For the given functions f and g, find the requested composite function value. f(x) = Vx+4, g(x) = 5x...

A: Plug x=3 inside g(x)g(x)=5xso, g(3)=5(3)=15

Q: For Exercise, use mathematical induction to prove the given statement for all positive integers n 6+...

A: For n=1 the statement is true 

Q: Use the properties of logarithms to find the exact value of the expression. Do not use a calculator....

A: Given,

Q: Find the present value. Round to the nearest cent. To get $25,000 after 12 years at 13% compounded s...

A: Calculate the present value (P).

Q: What rate of interest compounded annually is required to double an investment in 29 years? The rate ...

A: Given,

Q: Determine whether the function given by the table is linear, exponential, or neither. If the functio...

A: The model is exponential because there is a common ratio 4.

Q: A matrix with the same number of rows and columns is called a __________ matrix.

A: A matrix with the same number of rows and columns is called a square matrix.

Q: According to Fidelity Investment Vision Magazine, the average weekly allowance of children varies di...

A: Given:

Q: Farmer Ed has 2,500 meters of fencing, and wants to enclose a rectangular plot that borders on a riv...

A: Given that the farmer can fence 2,500 meters.

Q: Compute the sum of the first 50 positive integers that are exactly divisible by 5.

A: To determine sum of the first 50 positive integers that are exactly divisible by 5.

Q: For Exercise, use mathematical induction to prove the given statement for all positive integers n 3+...

A: Consider the formula

Q: One solution of the equation x° - 22x + 106x – 7 =0 is 7. Find the sum of the remaining solutions. T...

A: The given equation is

Q: solve the system by using Gaussian elimination or Gauss-Jordan elimination. x-2y=3z-10 x-y=z-7 3x-7y...

A: Given system of equation