Intermediate Algebra
19th Edition
ISBN: 9780998625720
Author: Lynn Marecek
Publisher: OpenStax College
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Textbook Question
Chapter 5.2, Problem 174E
Use the Product Property for Exponents to explain why
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Compare the interest earned from #1 (where simple interest was used) to #5 (where compound interest was used). The principal, annual interest rate, and time were all the same; the only difference was that for #5, interest was compounded quarterly. Does the difference in interest earned make sense? Select one of the following statements. a. No, because more money should have been earned through simple interest than compound interest. b. Yes, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. c. No, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. d. Yes, because more money was earned when compounded quarterly. For compound interest you earn interest on interest, not just on the amount of principal.
Compare and contrast the simple and compound interest formulas. Which one of the following statements is correct? a. Simple interest and compound interest formulas both yield principal plus interest, so you must subtract the principal to get the amount of interest. b. Simple interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest; Compound interest formula yields only interest, which you must add to the principal to get the final amount. c. Simple interest formula yields only interest, which you must add to the principal to get the final amount; Compound interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest. d. Simple interest and compound interest formulas both yield only interest, which you must add to the principal to get the final amount.
Sara would like to go on a vacation in 5 years and she expects her total costs to be $3000. If she invests $2500 into a savings account for those 5 years at 8% interest, compounding semi-annually, how much money will she have? Round your answer to the nearest cent. Show you work. Will she be able to go on vacation? Why or why not?
Chapter 5 Solutions
Intermediate Algebra
Ch. 5.1 - Determine whether each polynomial is a monomial,...Ch. 5.1 - Determine whether each polynomial is a monomial,...Ch. 5.1 - Add or subtract: (a) 12q2+9q2 (b) 8mn3(5mn3) .Ch. 5.1 - Add or subtract: (a) 15c2+8c2 (b) 15y2z3(5y2z3) .Ch. 5.1 - Add: (a) 8y2+3z23y2 (b) m2n28m2+4n2 .Ch. 5.1 - Add: (a) 3m2+n27m2 (b) pq26p5q2 .Ch. 5.1 - Find the sum: (7x24x+5)+(x27x+3) .Ch. 5.1 - Find the sum: (14y2+6y4)+(3y2+8y+5) .Ch. 5.1 - Find the difference: (8x2+3x19)(7x214) .Ch. 5.1 - Find the difference: (9b25b4)(3b25b7) .
Ch. 5.1 - Subtract (a2+5ab6b2) from (a2+b2) .Ch. 5.1 - Subtract (m27mn3n2) from (m2+n2) .Ch. 5.1 - Find the sum: (3x24xy+5y2)+(2x2xy) .Ch. 5.1 - Find the sum: (2x23xy2y2)+(5x23xy) .Ch. 5.1 - Simplify: (x3x2y)(xy2+y3)+(x2y+xy2) .Ch. 5.1 - Simplify: (p3p2q)+(pq2+q3)(p2q+pq2) .Ch. 5.1 - For the function f(x)=3x2+2x15 , find (a) f(3) (b)...Ch. 5.1 - For the function g(x)=5x2x4 , find (a) g(2) (b)...Ch. 5.1 - The polynomial function h(t)=16t2+150 gives the...Ch. 5.1 - The polynomial function h(t)=16t2+175 gives the...Ch. 5.1 - For functions f(x)=2x24x+3 and g(x)=x22x6 , find...Ch. 5.1 - For functions f(x)=5x24x1 and g(x)=x2+3x+8 , find...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, subtract the...Ch. 5.1 - In the following exercises, find the difference of...Ch. 5.1 - In the following exercises, find the difference of...Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add the polynomials....Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, add or subtract the...Ch. 5.1 - In the following exercises, find the function...Ch. 5.1 - In the following exercises, find the function...Ch. 5.1 - In the following exercises, find the function...Ch. 5.1 - In the following exercises, find the function...Ch. 5.1 - In the following exercises, find the height for...Ch. 5.1 - In the following exercises, find the height for...Ch. 5.1 - In the following exercises, find the height for...Ch. 5.1 - In the following exercises, find the height for...Ch. 5.1 - In the following exercises, find the height for...Ch. 5.1 - In the following exercises, find the height for...Ch. 5.1 - In each example, find (a) (f+g)(x)(b) (f+g)(2)(c)...Ch. 5.1 - In each example, find (a) (f+g)(x)(b) (f+g)(2)(c)...Ch. 5.1 - In each example, find (a) (f+g)(x)(b) (f+g)(2)(c)...Ch. 5.1 - In each example, find (a) (f+g)(x)(b) (f+g)(2)(c)...Ch. 5.1 - Using your own words, explain the difference...Ch. 5.1 - Using your own words, explain the difference...Ch. 5.1 - Ariana thinks the sum 6y2+5y4 is 11y6. What is...Ch. 5.1 - Is every trinomial a second degree polynomial? If...Ch. 5.2 - Simplify each expression: (a) b9b8 (b) 42x4x (c)...Ch. 5.2 - Simplify each expression: (a) x12x4 (b) 1010x (c)...Ch. 5.2 - Simplify each expression: (a) x15x10 (b) 61465 (c)...Ch. 5.2 - Simplify each expression: (a) y43y37 (b) 1015107...Ch. 5.2 - Simplify each expression: (a) 110 (b) q0 .Ch. 5.2 - Simplify each expression: (a) 230 (b) r0 .Ch. 5.2 - Simplify each expression: (a)z3 (b) 107 (c) 1p8...Ch. 5.2 - Simplify each expression: (a) n2 (b) 104 (c) 1q7...Ch. 5.2 - Simplify each expression: (a) (23)4 (b) (mn)2 .Ch. 5.2 - Simplify each expression: (a) (35)3 (b) (ab)4 .Ch. 5.2 - Simplify each expression: (a) z4z5 (b)...Ch. 5.2 - Simplify each expression: (a) c8c7 (b)...Ch. 5.2 - Simplify each expression: (a) (b7)5 (b) (54)3 (c)...Ch. 5.2 - Simplify each expression: (a)(z6)9 (b) (37)7 (c)...Ch. 5.2 - Simplify each expression: (a) (2wx)5 (b) (11pq3)0...Ch. 5.2 - Simplify each expression: (a) (3y)3 (b) (8m2n3)0...Ch. 5.2 - Simplify each expression: (a) (p10)4 (b) (mn)7 (c)...Ch. 5.2 - Simplify each expression: (a) (2q)3 (b) (wx)4 (c)...Ch. 5.2 - Simplify each expression: (a) (c4d2)5(3cd5)4 (b) (...Ch. 5.2 - Simplify each expression: (a) (a3b2)6(4ab3)4 (b) (...Ch. 5.2 - Write in scientific notation: (a) 96,000 (b)...Ch. 5.2 - Write in scientific notation: (a) 48,300 (b)...Ch. 5.2 - Convert to decimal form: (a) 1.3103 (b) 1.2104 .Ch. 5.2 - Convert to decimal form: (a) 9.5104 (b) 7.5102 .Ch. 5.2 - Multiply or divide as indicated. Write answers in...Ch. 5.2 - Multiply or divide as indicated. Write answers in...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - In the following exercises, simplify each...Ch. 5.2 - 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In the following exercises, multiply or divide as...Ch. 5.2 - Use the Product Property for Exponents to explain...Ch. 5.2 - Jennifer thinks the quotient a24a6 simplifies to...Ch. 5.2 - Explain why 53=(5)3 but 54(5)4 .Ch. 5.2 - When you convert a number from decimal notation to...Ch. 5.3 - Multiply: (a) (5y7)(7y4) (b) (25a4b3)(15ab3) .Ch. 5.3 - Multiply: (a) (6b4)(9b5) (b) (23r5s)(12r6s7) .Ch. 5.3 - Multiply: (a) 3y(5y2+8y7) (b) 4x2y2(3x25xy+3y2) .Ch. 5.3 - Multiply: (a) 4x2(2x23x+5) (b) 6a3b(3a22ab+6b2) .Ch. 5.3 - Multiply: (a) (x+8)(x+9) (b) (3c+4)(5c2) .Ch. 5.3 - Multiply: (a) (5x+9)(4x+3) (b) (5y+2)(6y3) .Ch. 5.3 - Multiply: (a) (x7)(x+5) (b) (3x+7)(5x2) .Ch. 5.3 - Multiply: (a) (b3)(b+6) (b) (4y+5)(4y10) .Ch. 5.3 - Multiply: (a) (x2+6)(x8) (b) (2ab+5)(4ab4) .Ch. 5.3 - Multiply: (a) (y2+7)(y9) (b) (2xy+3)(4xy5) .Ch. 5.3 - Multiply using the Vertical Method: (5m7)(3m6) .Ch. 5.3 - Multiply using the Vertical Method: (6b5)(7b3) .Ch. 5.3 - Multiply (y3)(y25y+2) using (a) the Distributive...Ch. 5.3 - Multiply (x+4)(2x23x+5) using (a) the Distributive...Ch. 5.3 - Multiply: (a) (x+9)2 (b) (2cd)2 .Ch. 5.3 - Multiply: (a) (y+11)2 (b) (4x5y)2 .Ch. 5.3 - Multiply: (a) (6x+5)(6x5) (b) (4p7q)(4p+7q) .Ch. 5.3 - Multiply: (a) (2x+7)(2x7) (b) (3xy)(3x+y) .Ch. 5.3 - Choose the appropriate pattern and use it to find...Ch. 5.3 - Choose the appropriate pattern and use it to find...Ch. 5.3 - For functions f(x)=x5 and g(x)=x22x+3 , find (a)...Ch. 5.3 - For functions f(x7) and g(x)=x2+8x+4 , find (a)...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply. 182. (a)...Ch. 5.3 - In the following exercises, multiply. 183. (a)...Ch. 5.3 - In the following exercises, multiply. 184. (a)...Ch. 5.3 - In the following exercises, multiply. 185. (a)...Ch. 5.3 - In the following exercises, multiply the binomials...Ch. 5.3 - In the following exercises, multiply the binomials...Ch. 5.3 - In the following exercises, multiply the binomials...Ch. 5.3 - In the following exercises, multiply the binomials...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply the...Ch. 5.3 - In the following exercises, multiply using (a) the...Ch. 5.3 - In the following exercises, multiply using (a) the...Ch. 5.3 - In the following exercises, multiply using (a) the...Ch. 5.3 - In the following exercises, multiply using (a) the...Ch. 5.3 - In the following exercises, multiply using (a) the...Ch. 5.3 - In the following exercises, multiply using (a) the...Ch. 5.3 - In the following exercises, multiply. Use either...Ch. 5.3 - In the following exercises, multiply. Use either...Ch. 5.3 - In the following exercises, multiply. Use either...Ch. 5.3 - In the following exercises, multiply. Use either...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, square each binomial...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, multiply each pair of...Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - In the following exercises, find each product....Ch. 5.3 - (10y6)+(4y7)Ch. 5.3 - (15p4)+(3p5)Ch. 5.3 - (x24x34)(x2+7x6)Ch. 5.3 - (j28j27)(j2+2j12)Ch. 5.3 - (15f8)(20f3)Ch. 5.3 - (14d5)(36d2)Ch. 5.3 - (4a3b)(9a2b6)Ch. 5.3 - (6m4n3)(7mn5)Ch. 5.3 - 5m(m2+3m18)Ch. 5.3 - 5q3(q22q+6)Ch. 5.3 - (s7)(s+9)Ch. 5.3 - (y22y)(y+1)Ch. 5.3 - (5xy)(x4)Ch. 5.3 - (6k1)(k2+2k4)Ch. 5.3 - (3x11y)(3x11y)Ch. 5.3 - (11b)(11+b)Ch. 5.3 - (rs27)(rs+27)Ch. 5.3 - (2x23y4)(2x2+3y4)Ch. 5.3 - (m15)2Ch. 5.3 - (3d+1)2Ch. 5.3 - (4a+10)2Ch. 5.3 - (3z+15)2Ch. 5.3 - For functions f(x)=x+2 and g(x)=3x22x+4 , find (a)...Ch. 5.3 - For functions f(x)=x1 and g(x)=4x2+3x5 , find (a)...Ch. 5.3 - For functions f(x)=2x7 and g(x)=2x+7 , find (a)...Ch. 5.3 - For functions f(x)=7x8 and g(x)=7x+8 , find (a)...Ch. 5.3 - For functions f(x)=x25x+2 and g(x)=x23x1 , find...Ch. 5.3 - For functions f(x)=x2+4x3 and g(x)=x2+2x+4 , find...Ch. 5.3 - Which method do you prefer to use when multiplying...Ch. 5.3 - Multiply the following:...Ch. 5.3 - Multiply the following:...Ch. 5.3 - Why does (a+b)2 result in a trinomial, but...Ch. 5.4 - Find the quotient: 72a7b3(8a12b4) .Ch. 5.4 - Find the quotient: 63c8d3(7c12d2) .Ch. 5.4 - Find the quotient: 28x5y1449x9y12 .Ch. 5.4 - Find the quotient: 30m5n1148m10n14 .Ch. 5.4 - Find the quotient: (32a2b16ab2)(8ab) .Ch. 5.4 - Find the quotient: (48a8b436a6b5)(6a3b3) .Ch. 5.4 - Find the quotient: (y2+10y+21)(y+3) .Ch. 5.4 - Find the quotient: (m2+9m+20)(m+4) .Ch. 5.4 - Find the quotient: (x47x2+7x+6)(x+3) .Ch. 5.4 - Find the quotient: (x411x27x6)(x+3) .Ch. 5.4 - Find the quotient: (x264)(x4) .Ch. 5.4 - Find the quotient: (125x38)(5x2) .Ch. 5.4 - Use synthetic division to find the quotient and...Ch. 5.4 - Use synthetic division to find the quotient and...Ch. 5.4 - Use synthetic division to find the quotient and...Ch. 5.4 - Use synthetic division to find the quotient and...Ch. 5.4 - For functions f(x)=x25x24 and g(x)=x+3 , find (a)...Ch. 5.4 - For functions f(x)=x25x36 and g(x)=x+4 , find (a)...Ch. 5.4 - Use the Remainder Theorem to find the remainder...Ch. 5.4 - Use the Remainder Theorem to find the remainder...Ch. 5.4 - Use the Factor Theorem to determine if x5 is a...Ch. 5.4 - Use the Factor Theorem to determine if x6 is a...Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide the monomials....Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, divide each polynomial...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, use synthetic Division...Ch. 5.4 - In the following exercises, divide. 324. 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- If $8000 is deposited into an account earning simple interest at an annual interest rate of 4% for 10 years, howmuch interest was earned? Show you work.arrow_forward10-2 Let A = 02-4 and b = 4 Denote the columns of A by a₁, a2, a3, and let W = Span {a1, a2, a̸3}. -4 6 5 - 35 a. Is b in {a1, a2, a3}? How many vectors are in {a₁, a₂, a3}? b. Is b in W? How many vectors are in W? c. Show that a2 is in W. [Hint: Row operations are unnecessary.] a. Is b in {a₁, a2, a3}? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. ○ A. No, b is not in {a₁, a2, 3} since it cannot be generated by a linear combination of a₁, a2, and a3. B. No, b is not in (a1, a2, a3} since b is not equal to a₁, a2, or a3. C. Yes, b is in (a1, a2, a3} since b = a (Type a whole number.) D. Yes, b is in (a1, a2, 3} since, although b is not equal to a₁, a2, or a3, it can be expressed as a linear combination of them. In particular, b = + + ☐ az. (Simplify your answers.)arrow_forward14 14 4. The graph shows the printing rate of Printer A. Printer B can print at a rate of 25 pages per minute. How does the printing rate for Printer B compare to the printing rate for Printer A? The printing rate for Printer B is than the rate for Printer A because the rate of 25 pages per minute is than the rate of for Printer A. pages per minute RIJOUT 40 fy Printer Rat Number of Pages 8N WA 10 30 20 Printer A 0 0 246 Time (min) Xarrow_forward
- OR 16 f(x) = Ef 16 χ по x²-2 410 | y = (x+2) + 4 Y-INT: y = 0 X-INT: X=0 VA: x=2 OA: y=x+2 0 X-INT: X=-2 X-INT: y = 2 VA 0 2 whole. 2-2 4 y - (x+2) = 27-270 + xxx> 2 क् above OA (x+2) OA x-2/x²+0x+0 2 x-2x 2x+O 2x-4 4 X<-1000 4/4/2<0 below Of y VA X=2 X-2 OA y=x+2 -2 2 (0,0) 2 χarrow_forwardI need help solving the equation 3x+5=8arrow_forwardWhat is the domain, range, increasing intervals (theres 3), decreasing intervals, roots, y-intercepts, end behavior (approaches four times), leading coffiencent status (is it negative, positivie?) the degress status (zero, undifined etc ), the absolute max, is there a absolute minimum, relative minimum, relative maximum, the root is that has a multiplicity of 2, the multiplicity of 3.arrow_forward
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