Exercises 107–109 will help you prepare for the material covered in the next section. 1 107. Multiply and simplify: x?y y 1 108. Multiply and simplify: x(x + h) x + h x2 109. Divide: x? – 4x + 3 1 .2 x- x-

Q: 1. (+2= X-1 4.

A:

Q: find each of the following quotients, and express the answers in the standard form of a complex numb...

A: We have to express the given complex number in standard form: 310i We know that i=-1⇒i2=-1 Where, i ...

Q: Find the equation of the plane through (-1, 6, 2) and perpendi cular to the jain of (1, 2, 3) and (-...

A:  

Q: EXAMPLE 6 A Distance-Speed-Time Problem A jet flew from New York to Los Angeles, a distance of 4200 ...

A: Distance between New York to Los Angeles is 4200 km. Total time taken on trip is 13 hours. Let the s...

Q: -5x3y? -20x?y -3,,2 Simplify: 2..-6 -5 -3–2. v2-(-6) -20 1 4x5

A: Given expression: -5x-3y2-20x2y-6

Q: Evaluate ( 5/18 ) + ( 1/12 )

A: To evaluate 518+112 Find the LCM of 18 and 12 18=2×3×312=2×2×3LCM= 2×2×3×3       =36

Q: Find all solutions of the equation.

A: Find all solutions of the equation.     3x3-x2+11x-20=0

Q: Answer the question in the photo

A:

Q: The graph of a polynomial function is always smooth andcontinuous. Name a function studied earlier t...

A: The graph of a polynomial function is always smooth and continuous. Name a function studied earlier ...

Q: A ship is traveling a course that is 100 miles from, and parallel to, a straight shoreline. The ship...

A: Let A be the point where origin is present . So its coordinate is 0,0 .x-axis passes from the point ...

Q: If every horizontal line intersects the graph of a function f at no more than one point, then f is a...

A: Given statement: If every horizontal line intersects the graph of a function f at no more than one p...

Q: In an Argand diagram a set of points representing complex numbers z is defined by the equation |z- 1...

A:

Q: The Richter scale is one way of converting seismographic readings into numbers that provide an easy ...

A: Mx=logxx0

Q: Jim places $1000 in a bank account that pays 5.6% compounded continuously. After 1 year, will he hav...

A: compounded continuouslyA=P ertcompound interestA=P1+rnnt

Q: Rodrigo is buying a 5-foot long fishing rod for his 2 father for his birthday. He wants to put it in...

A: Given length of Rod is 5.5 ft

Q: graph each hyperbola. 16y2 + 64y - x2 = 0

A: Given equation is 16y2+64y-x2=0.

Q: Find all real solutions of the equation by factoring. x2 - 8x + 15 = 0

A:

Q: V through x

A: Solution by using elimination method as follows :

Q: Explain how to addrational expressions when denominators are opposites. Use an example to support yo...

A: When the denominators of two rational expressions are opposites, it is easy to get a common denomina...

Q: Solve the formula F = =C + 32 for C.

A: A linear equation in two variables say x,y can be solved for one of the variables using algebraic op...

Q: evaluate each of the following. For example, √25 = 5. √(16/64)

A: We can simplify the radicals by factoring the radicand . By factoring the radicand , we can take the...

Q: simplify each expression. Express final results without using zero or negative integers as exponents...

A:

Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution us...

A: x2 - 4x - 1 = 0

Q: 7. Select all the expressions that are equivalent to -36x + 54y – 90. А. -9(4х — бу —10) В. -18(2х —...

A:

Q: Find the value of log2 2 . log2 4 . . . log2 2n.

A: Consider the expression log22·log24·…·log22n To find the value of the expression, use the below loga...

Q: 15. Solve each system by substitution Answer key: (-1,2)

A: we will express one variable in terms of other and then substitute that variable in second equation ...

Q: Multiply the polynomials using the special product formulas. Express your answer as a single polynom...

A: To expand the polynomial: (x+1)3 Solution: We know, (a+b)3=a3+3ab2+3a2b+b3      ..(1) Given expressi...

Q: graph the following lines using the technique that seems most appropriate. x + 2y = 5

A: Given equation: x+2y=5 The objective is to graph the equation.

Q: Melissa is choosing a cellphone plan and wants the lowest monthly cost. Telus charges $12 per month ...

A:

Q: 7-10 - Recursive Sequences A sequence is defined recursively. Find the first seven terms of the sequ...

A: 7. an=an-1+2n -1, a1=1

Q: Q: Find the derivatives of the following function with respect to x. i) x = sin h' y

A: We have to find derivative

Q: The average college dorm room measures 12 feet by 19 feet a) convert the measurements to inches b) ...

A:

Q: Find all real solutions of the equation. 2x2 + x - 3 = 0

A: Given equation: 2x2 + x - 3 = 0

Q: Use the bar graph to find the experimental probability of rolling a number less than or equal to 4.

A: Explained below

Q: Use duality to solve the given problem. Minimize w = 20y1 + 14y2 + 56y3 Y1 +y2 + 5y32 25 2y1 +y2 + y...

A:

Q: If f(x) = (3x + 8) / (2x - A) and f(0) = 2, what is the value of A?

A: Given that, fx=3x+82x-A Also it is given that, f(0) = 2 We have to find the value of A.  

Q: 84. Partial Sum of a Geometric Sequence Find the sum of the first ten terms of the sequence a + b, a...

A: a+b, a2+2b, a3+3b, a4+4b,.....

Q: Depreciation A new car costing $35,000 depreciatesby 16% of its current value each year.a. Write an ...

A: (a) The cost of car $35,000 depreciates by 16% of its current value each year. The cost of a car aft...

Q: Draw a machine diagram for the function.

A: Draw a machine diagram for the function.       fx=x-1

Q: A linear function is given.(a) Determine the slope and y-intercept of each function.(b) Use the slop...

A: Given function is fx=2x+3. We know that slope-intercept form of a line is given as: y=mx+c, where m ...

Q: Use the discriminant to determine the number of real solutions of the equation. Do not solve the equ...

A: For a quadratic equation ax2+bx+c=0 its discriminant can be used to determine if there are real solu...

Q: evaluate each of the following. For example, √25 = 5. ∛216

A: The given radical is 2163

Q: A graph of a piecewise defined function is given. Find a formula for the function in the indicated f...

A: From the graph, we can observe that For,x≤-1 the graph of the function is a horizontal line. and its...

Q: Simplify the expression. Express the answer so that all exponents are positive. Whenever an exponent...

A: The given expression is x-1y3

Q: Q3/ Find the angle between two curves: 3 x2 , y = x² y = 2

A: Please see the answer in step 2

Q: write the expression in radical form. 4y1/2

A: A radical has the following equivalent forms xn=x1/n. Here, n is a positive integer.  In case n=2,  ...

Q: ues of a will the following system have no solutions? Exactly one nitely many solutions?

A: Given system of equations is: x+2y-3z=43x-y+5z=24x+y+a2-14z=a+2 The corresponding coefficient matrix...

Q: DeShawn needs at least 500 points to earn the next trophy on his video game. He has 418 points. Whic...

A: He has 418 points To win the trophy he need more p points So for win he need total number of points ...

Q: 17. Solve each system by substitution Answer key: (7,-8)

A: The given equation need to be solved by Substitution method. In this method, the value of one variab...

Q: Let a and b be elements in a ring R. If ab is a zero divisor, prove that either a or b is a zero div...

A: Given :          ab is a zero divisor where a and b are elements in ring R. Formula :        Zero Di...