
To verify: The statement “

Explanation of Solution
Procedure used:
Procedure to verify that an equation is true:
“Step 1: Find the value of the expression on each side of the equal sign.
Step 2: Compare the value for each side. (a) If the values for each side are equal, the equation is true. (b) If the values for each side are not equal, the equation is not true”.
Calculation:
The given equation is,
Step 1:
From the given equation, it is observed that the left hand side of the equation is,
Consider the left hand side of the equation
The value of the expression
Consider the right hand side of the equation
The value of the expression
Step 2:
By the above procedure, compare both sides of the equation as follows.
Here, the left hand side of the equation is, 12 and right hand side of the equation is 12.
Thus, both sides of the equation are equal.
Hence, the given statement “
Want to see more full solutions like this?
Chapter 7 Solutions
College Mathematics for Trades and Technologies (10th Edition) (What's New in Trade Math)
- Business discussarrow_forwardFind the Taylor polynomial T³(×) for the function f centered at the number a. f(x) = xe-2x a = 0 T3(x) =arrow_forward538 Chapter 13 12. Given: Points E(-4, 1), F(2, 3), G(4, 9), and H(-2, 7) a. Show that EFGH is a rhombus. b. Use slopes to verify that the diagonals are perpendicular. 13. Given: Points R(-4, 5), S(-1, 9), T(7, 3) and U(4, -1) a. Show that RSTU is a rectangle. b. Use the distance formula to verify that the diagonals are congruent. 14. Given: Points N(-1, -5), O(0, 0), P(3, 2), and 2(8, 1) a. Show that NOPQ is an isosceles trapezoid. b. Show that the diagonals are congruent. Decide what special type of quadrilateral HIJK is. Then prove that your answer is correct. 15. H(0, 0) 16. H(0, 1) 17. H(7, 5) 18. H(-3, -3) I(5, 0) I(2,-3) 1(8, 3) I(-5, -6) J(7, 9) K(1, 9) J(-2, -1) K(-4, 3) J(0, -1) K(-1, 1) J(4, -5) K(6,-2) 19. Point N(3, - 4) lies on the circle x² + y² = 25. What is the slope of the (Hint: Recall Theorem 9-1.) - line that is tangent to the circle at N? 20. Point P(6, 7) lies on the circle (x + 2)² + (y − 1)² = 100. What is the slope of the line that is tangent to the circle at…arrow_forward
- Consider a set of data ...arrow_forwardFor each graph in Figure 16, determine whether f (1) is larger or smaller than the slope of the secant line between x = 1 and x = 1 + h for h > 0. Explain your reasoningarrow_forwardAnalyze the residuals of a linear regression model and select the best response. yes, the residual plot does not show a curve no, the residual plot shows a curve yes, the residual plot shows a curve no, the residual plot does not show a curve I answered, "No, the residual plot shows a curve." (and this was incorrect). I am not sure why I keep getting these wrong when the answer seems obvious. Please help me understand what the yes and no references in the answer.arrow_forward
- Design a Turing Machine recognizing each of the following languages and draw its state diagram. Note that the transition functions of the Turing Machine must be in the format of “a → b,L/R", namely the machine reads single symbol a from the tape, writes single symbol b to the cell to replace a, and then goes to either left L or right R. You will receive 0 point if you do not follow this instruction. (1) {w|w=a²b³, n ≥ 0} (2) {w|w=a'b³,i0} (3) {w|w a'bick,iarrow_forwardDesign a PDA recognizing each of the following languages and draw its state diagram. Note that the transition function must be in the format of “a, b →c", namely we can only push/pop one symbol into/from the stack one time upon one input symbol. You will receive 0 point if you push/pop multiple symbols into/from the stack one time upon one input symbol. (1) {w|wa"b", n is odd} = (2) {w|w=w², length of w is odd and Σ = {a,b} } (3) {w|w= = a²b²n, n ≥1 } (4) {w|w= =a^bn+mcm, n≥0, m ≥ 1 } (5) {w|w=a²b³n, n≥0} (6) {w|w= = a¹³, n ≥ 1, m≥ 1 and n‡m } Hint: two cases: n > m and narrow_forward[) Hwk 29 ✗ WHwk 30 (MA 244-03) (SP X - Logout Cengage Learning X MA244-03 Syllabus_Sprin X b Answered: [) Hwk 29 Hwk X https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606609 4. [-/3 Points] DETAILS MY NOTES LARLINALG8 7.4.013. Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.) Y1' = -4Y1 Y2' = -12 (y1(t), Y2(t)) = ( 3 Need Help? Read It SUBMIT ANSWER 5. [-/3 Points] DETAILS MY NOTES LARLINALG8 7.4.019. Solve the system of first-order linear differential equations. (Use C1, C2, C3, and C4 as constants.) Y1' = 6y1 Y2' = 2y2 Y3' = -643 Y4' = -2y4 = (y1(t), y2(t), y3(t), Y4(t)) = Need Help? Read It SUBMIT ANSWER G Use the Principal Axes The X G cot(0) - Google Search ☑ B 90% + ASK YOUR TEACHER PRACTICE ANOTHER ill ASK YOUR TEACHER PRACTICE ANOTHER 6. [-/4 Points] DETAILS MY NOTES LARLINALG8 7.4.023. Solve the system of first-order linear differential equations. (Use C1 and C2 as constants.) ASK YOUR TEACHER Y1' = Y1 + 5y2 Y2'…arrow_forwarda. Find the value of A.b. Find pX(x) and py(y).c. Find pX|y(x|y) and py|X(y|x)d. Are x and y independent? Why or why not?arrow_forwardAnalyze the residuals of a linear regression model and select the best response.Criteria is simple evaluation of possible indications of an exponential model vs. linear model) no, the residual plot does not show a curve yes, the residual plot does not show a curve yes, the residual plot shows a curve no, the residual plot shows a curve I selected: yes, the residual plot shows a curve and it is INCORRECT. Can u help me understand why?arrow_forwardYou have been hired as an intern to run analyses on the data and report the results back to Sarah; the five questions that Sarah needs you to address are given below. please do it step by step on excel Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship. Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship. Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. (In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size). Include the manufacturer dummy variable (Samsung=1, 0 otherwise) and estimate the relationship between screen size, price and manufacturer dummy as a multiple…arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSONThinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education