Complete the sentence below. If f is a polynomial function and x - 5 is a factor of f, then f(5) = If f is a polynomial function and x - 5 is a factor of f, then f(5) =

Q: write the sum using summation notation. Use i as the index of summation. x 2 + x 2y + x 2y 2+ x 2y 3

A:

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

A: Given,A disc jockey has 7 songs that he must play in a half-hour period.

Q: Write the standard form of an equation of a hyperbola with center (h, k) and transverse axis horizon...

A: Standard form of a hyperbola having centre at origin and transverse axis is a line parallel to x-axi...

Q: Write the augmented matrix for the system. 4x + 6y – 2z = 32 - 2x + 8y + 5z = 60 Зх + 7y + 3z 3 70 O...

A: Given system of linear equation is

Q: Write a formula for the nth term of the geometric sequence. -40,20,-10,5,.........

A: Find the ratio of the series by dividing 2nd term by first term.

Q: A __________ in the variable x is a finite sum of terms of the form axn where a is a real number and...

A: A polynomial P(x) is defined as

Q: Solve the system of equations. If the system has no solution, say that it is inconsistent. Зх + 5у %...

A: Option A is the correct option.First of all, consider the given equations.

Q: For a recent year, 31.9% of Americans living below the poverty level were not covered by health insu...

A: 31.9% of Americans living below the poverty level were not covered by health insurance.so, probabili...

Q: For Exercise, a. Give the order of the matrix. b. Classify the matrix as a square matrix, row matrix...

A: Given,

Q: At noon, a ship leaves a harbor and sails south at 10 knots. Two hours later, a second ship leaves t...

A: Given:

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

A:

Q: Find f −1(x). f(x) = −4x − 8 f −1(x) =

A: The given function is,

Q: Use Cramer’s rule to solve the system. 13x-2y=11 5x+3y=6

A: Find the determinant of the matrix formed by the coefficients of x and y. 

Q: What is the difference between a sequence and a series?

A: write the difference between sequence and series

Q: For Exercise, a one-to-one function is given. Write an equation for the inverse function. f(x) = 2x^...

A:

Q: For Exercise, consider sets A and B and determine if the statement is true or false. A={x|4>x}, B...

A: Given:

Q: On Sunday, a local hamburger shop sold a combined total of 304 hamburgers and cheeseburgers. The n...

A: It is given that a hamburger sold a combined total of 304 hamburgers and cheeseburgers.

Q: Suppose that two fair dice are rolled. Determine the probability that a. The sum of the numbers on t...

A: When two dices are rolled, then

Q: For Exercise, find the number of terms of the finite arithmetic sequence.  7,16,25,34,,.........,574

A: 7,16,25,34,,.........,574First term = a_1=7Let there are n terms in the sequence.a_n=574d= common di...

Q: For Exercise, solve the equation or inequality. Write the solution set to the inequalities in interv...

A: The given inequality is 2–3{4–[x+2(x–1)–3]+4}>0

Q: A store is having a sale on walnuts and chocolate chips. For 3 pounds of walnuts and 2 pounds of...

A:

Q: slove the equation 75y^3 + 100y^2 − 3y− 4 = 0

A: Consider the provided equation:

Q: Find the 500th term of an arithmetic sequence with a1 = 6.9 and d = 0.3.

A: Given,a1 = 6.9 and d = 0.3The formula for nth term is,an = a1 + (n – 1) d …(1)

Q: For Exercise, solve the equation or inequality. Write the solution set to the inequalities in interv...

A: The given inequality is,

Q: given x2 + y2 − 8x− 2y + 1 = 0, a. Write the equation of the circle in standard form. b. Identify th...

A: Recall the following fact.

Q: Find a1and r for a geometric sequence given that a3 = 18 and a6= 486.

A: Given a geometric sequence such that

Q: An infinite _____ is a function whose domain is the set of positive integers. A _____ sequence is a ...

A: Given:

Q: Mr. Crider traveled 32 kilometers in 0.5 hours.  Write a ratio that could be used to calculate his s...

A: Given:Distance traveled by Mr. Crider is 32 kilometers in 0.5 hours.

Q: Simplify each expression. a. i57 b. i22

A: Simplify each expression

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

A: To solve the given logarithmic equation

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: Question 41 I don't understand how to solve it .

A: Given:P = 2x + 8y.x + y ≤ 4,  2x + y ≤ 5  and x ≥ 0,  y ≥ 0.

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: Graph the solution set. (x + 2)2 + (y − 3)2 ≥ 4

A: Here the given equation is (x + 2)2 + (y – 3)2 ≥ 4 equation of circle and (-2, 3) is the center of t...

Q: For Exercise, determine whether the sequence is arithmetic. If so, find the common difference.  15, ...

A: To determine whether the sequence is arithmetic or not and find the common difference.

Q: For Exercise, the nth term of a sequence is given. Find the indicated term. d n = 6n+ 7 find d204

A: Plug n=204 in the given formula

Q: Consider the following equation. y = x2 + 5x − 2 (a) State whether the axis of symmetry is a vertica...

A: Given, equation is

Q: A chemical company makes two brands of antifreeze. The first brand is 70% pure antifreeze, and the s...

A:

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

A:

Q: Write the system of equations associated with the augmented matrix. Do not solve. - 3 - 7 3 - 7 - 6 ...

A: Given the augmented matrix,

Q: Find the midpoint of the line segment with endpoints (−362, 147) and (118, 24).

A: The given end points are,

Q: Please help figure out

A: Consider the provided expression,

Q: simplify  (3n+1)!/(3n-1)!

A: Given:

Q: solve the system by using Gaussian elimination or Gauss-Jordan elimination. 2x-5y+18z=44 x-3y+11z=27...

A: Gaussian elimination, also known as row reduction is used for solving a system of linear equations.T...

Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a parab...

A: Given equation is

Q: Given X = {x | x < 7}, Y = {x | x ≥ −2}, and Z = {x | x < −3}, write the union or intersection...

A: Let x belongs to the set of integers. Let the Given set X, Y and Z defined as:   

Q: Is −4 a zero of the polynomial f(x) = 3x4− 6x3+ 5x − 12?

A: For x=4 to be the zero of the given polynomial it must fulfil the necessary condition given as.

Q: Write the standard form of an equation of an ellipse with center (h, k )and major axis vertical.

A: The standard form of the equation of an ellipse with centre ( h, k) and major axis parallel to the y...

Q: Evaluate the greatest integer function for the following values of x a.4.27 b. −4.27

A: (a)Evaluate the greatest integer function for x is 4.27 as follows.