Explanation Procedure used: “Solve problem using system of linear equations (1) Assign algebraic names for the variables whose values are to be found. (2) Form linear equations corresponding to the question. (3) Solve the equations using either substitution or elimination method. (4) Substitute the values obtained in Step 3 in the given equations of the system to check the solution. (5) Translate the equations obtain in step 4 into answer statement.” Calculation: Step 1: Let the measure of smaller angle be x and larger angle be y . Step 2: The sum of two supplementary angles is 180 ° . It can be represented as follows: x + y = 180 ° (1) The measure of larger angle is 16 ° less than three times the measure of smaller angle. It can be represented as follows: y = 3 x − 16 ° (2) Therefore, the system of equations can be formed as follows. { x + y = 180 y = 3 x − 16 Step 3: Use the method of substitution to solve this system. Substitute y = 3 x − 16 in equation (1). x + y = 180 x + ( 3 x − 16 ) = 180 4 x = 180 + 16 4 x = 196 Solve the above equation. 4 x = 196 x = 196 4 x = 49 Thus, the value of x is 49 °

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ISBN: 9780134556079

Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.

Publisher: Pearson,

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Chapter 4.4, Problem 6E

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Two complementary angles such that the measure of the larger angle is 16° less than three times the measure of the smaller angle.

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Chapter 4.4, Problem 5E

Chapter 4.4, Problem 7E

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1. Given that h(t) = -5t + 3 t². A tangent line H to the function h(t) passes through the point (-7, B). a. Determine the value of ẞ. b. Derive an expression to represent the gradient of the tangent line H that is passing through the point (-7. B). c. Hence, derive the straight-line equation of the tangent line H 2. The function p(q) has factors of (q − 3) (2q + 5) (q) for the interval -3≤ q≤ 4. a. Derive an expression for the function p(q). b. Determine the stationary point(s) of the function p(q) c. Classify the stationary point(s) from part b. above. d. Identify the local maximum of the function p(q). e. Identify the global minimum for the function p(q). 3. Given that m(q) = -3e-24-169 +9 (-39-7)(-In (30-755 a. State all the possible rules that should be used to differentiate the function m(q). Next to the rule that has been stated, write the expression(s) of the function m(q) for which that rule will be applied. b. Determine the derivative of m(q)

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Chapter 4 Solutions

Elementary & Intermediate Algebra

Ch. 4.1 - A _____ is a grouping of two or more linear...Ch. 4.1 - A _____ of a system of equations consists of...Ch. 4.1 - Prob. 3E Ch. 4.1 - In Problems 3 and 4, determine whether each...Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - In Problem 8, solve the system by graphing. 8....Ch. 4.1 - Prob. 9E Ch. 4.1 - If a system of linear equations in two variables...

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Two complementary angles such that the measure of the larger angle is 16 ° less than three times the measure of the smaller angle.

Solution Summary: The author explains how the system of equations can be formed using algebraic names for variables whose values are to be found.

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Two complementary angles such that the measure of the larger angle is 16° less than three times the measure of the smaller angle.

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Chapter 4 Solutions