Step 1: x+5=9 Step 2:x+5+(-5) = 9+(-5) Step 31 0-9+( 5) What property justifies the work between step 2 and step 3? O Multiplicative Inverse Property O Additive Identity Property O Distributive Property O Additive Inverse Property

Q: A pilot can travel 450 miles with the wind in the same amount of time as 396 miles against the wind....

A: pilot's speed, vp = 235 mi/hr. Distance travelled by pilot with the wind, df = 450 miles Distance tr...

Q: Explain how to find the product of the sum and difference of two terms. Give an example with your ex...

A: The product of the sum and the difference of the two terms is given using the algebraic identity as,...

Q: Rationalize each denominator: V5 3 b. а. 25

A: To rationalize the denominator a) 56 56×66=5×66×6                     =306

Q: Find all real solutions of the equation.

A: 3-x+2=1-x

Q: Replace the question mark by <, >, or =, whichever is correct. - 3 ? (- 5/2)

A: The given numbers are -3 and -52 If two numbers are given as a and b such that a is greater than b t...

Q: find each of the products and express the answers in the standard form of a complex number. (10 + 2i...

A: We have to find the products and express the answer in standard form: 10+2i-2-i We know that i=-1i2=...

Q: Perform the indicated operations. x2(x - 2) + x(x - 2)2

A: To perform the indicated operations: x2(x-2)+x(x-2)2. Solution: x2(x-2)+x(x-2)2 On simplifying furth...

Q: 57-60 - Rectangular to Polar Sketch a graph of the rectangular equation. [Hint: First convert the eq...

A: "Sine you have posted a question with multiple subpart, we will solve first subpart for you. To get ...

Q: The graph of y= f(x) is shown as a red dashed curve with the points A, B, C, and D highlighted. Draw...

A: To solve the given problem

Q: Solve the equation.

A: Given,  

Q: evaluate each of the following. For example, √25 = 5. √(144/36)

A: Consider  14436

Q: graph each of the functions.f (x) = 1/2 (x + 3)2

A: Given: fx=12x+32 The graph of the given function is,    

Q: O Solve the System ş -Gx + 9y = 3 2x - 3y =-1 the Using auguieuted matria and reduction methed %3D

A:

Q: x2-2x-15 x2-9 x-3 :x+-3.0,3 Which of the following expressions is equivalent to the one above?

A: Simplify the given expression.

Q: Satellite Dishes A satellite dish is 20 feet acrossand 5 feet deep. How far from the vertex of the d...

A: A satellite Dish is 20 feet across and 5 feet deep.   we have to distance from the vertex of the dis...

Q: A motorboat heads upstream a distance of 24 miles on a river whose current is running at 3 miles per...

A: Let the speed of the boat in still water be x mi/hr. Speed of boat in upstream = x - 3 mi/hr and in ...

Q: 6. The slope of a vertical line is. The equation of the vertical line passing through (2, 3) is

A: The slope of a vertical line does not exist. 

Q: Lateral Surface Area Total Surface Area Ph+28 D-Area of the ba Ph P-parimuter ol the bane haheight o...

A:

Q: Can I use a vertical format to subtract polynomials, like we did with addition?

A: Yes, we can use a verical format to subtract polynomials, like we did with addition.

Q: simplify each numerical expression. (1/3)-1 - (2/5)-1

A: 13-1-25-1to remove the negative sign we hjave to reciprocal both of them31-5231-52

Q: Integer Whole Natural

A:

Q: State wether the given equation is true for all values of the variables. (Disregard any value that m...

A: Two equation is said to be true or correct if the left hand side and the right hand side of the equa...

Q: EXERCISE 8 1. DON'T SIMPLIFY the following. ONLY INDICATE whether or not the result of the product w...

A:

Q: Graph each of the following parabolas, and keep in mind that you may need to change the dimensions o...

A: Given function f (x) = x2 + 12x + 44

Q: Simplify. Write the final answer using positive exponents only. 70x−8y5 20x7y−2

A:

Q: Answer a and b

A:

Q: Cost The total cost function for a product is givenby C(x) = 3x3 - 6x2 - 300x + 1800, where x isthe ...

A: A function defines a relationship between two sets, where one set is dependent on other set. Any cha...

Q: In Exercises 16–17, factor completely. 16. ху — бх + 2у — 12 17. 24xy + 16x²y – 30xy

A: Given : 16. xy-6x+2y-12=x(y-6)+2(y-6)=(y-6)(x+2)

Q: Any set of ordered pairs is called a/an the The set of all first components of the ordered pairs is ...

A: We know,  A set is a collection of distinct elements.  Any set of ordered pairs is called a Relation...

Q: Sketch the graph of the function, not by plotting points, but by starting with the graph of a standa...

A: Sketch the graph of the function, not by plotting points, but by starting with the graph of a standa...

Q: Suppose that the graph of a function f is known. Then the graph of y = f( - x) may be obtained by a ...

A: Suppose fx be a function such that y=fx First, draw the graph of the function y=fx

Q: Solve the inequality for x, assuming that a,b and c are positive constants. a ≤ bx + c < 2a

A: To solve the inequality: a≤bx+c<2a Solution: Given inequality is: a≤bx+c<2a On simplifying fur...

Q: Working together a bricklayers and his partner could lay a brick sidewalk in 4.8 hours.if he could h...

A:

Q: Use the complex number system and write each expression in the standard form a + bi. 4(3 - i) + 3( -...

A:

Q: Graph: 4x – 5y 2 20.

A: Given: 4x-5y ≥20 To graph: The given equation.

Q: True or False: A rational function must always have an x-intercept.

A:

Q: Pollution   Joe Slo, a college sophomore, neglected to wash his dirty laundry for 6 weeks. By the en...

A: Joe Slo, a college sophomore, neglected to wash his dirty laundry for 6 weeks. By the end of that ti...

Q: 13. Choose h and k so that the system above lias no solution. 14. Choose h and k so that the system ...

A:

Q: Sketch the graph of the equation.

A: If y=AsinBx+C+D then Amplitude: A Period: 2πB Phase shift: C (Positive is to the left) Vertical shif...

Q: Teen Birth Rate The birth rate in 2013 for U.S. girlsages 15 to 19 was the lowest since the governme...

A: By using the formula of slope that is m=y2-y1x2-x1, where m is the slope, the value of x1,y1=7,96.3 ...

Q: A clothing business finds there is a linear relationship between the number of shirts, n, it can sel...

A: Given linear equation is: pn=mn+b30=1000m+b

Q: Find the zeros of the polynomial function and state the multiplicity of each zero. (Enter your answe...

A: To find the zeroes of the polynomial: P(x)=(x2-9)(x+7)2. Solution: For finding zeroes of the polynom...

Q: Show that the given values for a and b are lower and upper bounds for the real zeros of the polynomi...

A: Given: Show that the given values for a and b are lower and upper bounds for the real zeros of the p...

Q: Use the Remainder Theorem to evaluate the polynomial function. P(z) = 2z3 − 4z2 + 3z − 2; P(−2) P(...

A:

Q: Vhich sequence of transformations takes ne graph of y = f(x) co the graph of 1 y = -f(x+ 1)

A:

Q: Rationalize each denominator: 2x 6x b. Vy 6A а. с. V 7y

A: Given that: 2x7y To rationalize the denominator: 2x7y=2x7y=2x7y·7y7y=2x·7y7y2=14xy7y  

Q: Graph y = - x2 + 15 using a graphing utility. Create a table of values to determine a good initial v...

A: Given: Graph y=-x2+15    

Q: Which function is increasing as x approaches negative infinity and decreasing as a approaches positi...

A: We have to find  which function is increasing as x approaches negative infinity and decreasing as x ...

Q: Future Value The future value of $2000 investedfor 3 years at rate r, compounded annually, is givenb...

A: In the equation S=2000(1+r)3, S represents the future value and 2000 represents the initial amount i...

Q: Use your calculator to estimate each of the following. Express final answers in ordinary decimal not...

A: Given number is 0.4925

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.