For Exercises 72-73, use a graphing calculator and the inverse of the coefficient matrix to find the solution to the given system. Round to
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- a. Determine the solutions of the simultaneous equations given below y = x² + x + 1 y = 6x + 7 b. Solve the following inequality: |3x + 1| <3 c. Solve the following equation using logarithm, correct to 3 significant figures. 33t-1 = 7t+1 3 d. Simplify the matrix multiplication 2 -1 -4 7 31 e. Find the inverse matrix of Matrix A = =[-_-2-3] 6 5 f. Find the determinant of the Matrix B= 2 -2 -4 NÁG 5 2 -2 ܢܐ ܗ ܚ 6 -3 1 0 3 -3 X م بل ه -3 0arrow_forwardi h100007443.education scholastic.com alh venicy/icader/ Nataly Ramos Diaz | Log Out ? English Español Help Which equation represents the line shown? (4, 6) (0, 3) @ y=*+3 B y = x+ 3 © y-**3 Calculator Formulas 6.arrow_forwardPlease show step by step. Thanksarrow_forward
- For Exercise, use a graphing calculator and the inverse of the coefficient matrix to find the solution to the given system. Round to 2 decimal places. (log 2)x + (V7)y + (ех — (V3)у - т3 — 3.7 (In 10) x + z = 4.1 y – 2.2z = 7.2arrow_forwardSimplify the following: 3 log, u+ 12 log, v In(x) 2ln(y) + 3ln(z) - Solve the following: 7a+9 -3e" +6=-6 30.5 +3=150 log (-2a+9)=log (7-4a) -6log, (x-3)=-24 loga + log(x-3)=1arrow_forwardPart 1: Under certain conditions, functions can be invertible, ‘undo-able’. That is, one function takes an input and through some sort of manipulation gives you an output – then the inverse function takes that output and turns it back into that exact input. The exponential and logarithmic functions behave like inverses of one another; you used this property when solving exponential and logarithmic equations. Can you think of any real-life procedures that behave in this way – i.e. are invertible? Or are NOT invertible. What are the special conditions that make a procedure invertible or not? Use Part 2 and Part 3 as guides/ideas for follow-up responses to your peers. Part 2: Can you think of any real-life procedures that are ‘almost’ invertible, that is, are invertible after some adjustment or alteration? Part 3: Can you think of any real-life procedures that can be made un-invertible, that is are un-invertible after some adjustment or alteration, but without change are perfectly…arrow_forward
- Caffeine occurs naturally in a variety of food products such as coffee, tea, and chocolate. The kidneys filter the blood and remove caffeine and other drugs through uirne. The biological half-life of caffeine is approximately 6 hr. If one cup of coffee has 80 mg of caffeine, then the amount of caffeine C (in mg) remaining after t hours is given by C=80(2)-t/6. a. How long will it take for the amount of caffeine to drop below 60 mg? Round to 1 decimal place. b. Laura has trouble sleeping if she has more than 30 mg of caffeine in her bloodstream. How many hours after drinking a cup of coffee would Laura have to wait so that the coffee would not disrupt her sleep? Round to 1 decimal place.arrow_forwardA pizza restaurant has two phone lines for taking delivery orders. An average of 40 people per hour try to call the restaurant, and the average length of a phone call is 1 minute. If a person attempts to call when both lines are busy, he/she hangs up and is lost to the system. Assume that the time between people attempting to call and service times are exponential. a. What fraction of the time will both lines be free? What fraction of the time will both lines be busy? What fraction of the time will exactly one line be free? b. On the average, how many lines will be busy? c. On the average, how many callers will hang up each hour?arrow_forwardSolve a,b,c,darrow_forward
- OMA X Post Attendee-Zoom A To do Md 202 tive.com/formatives/6060b33bla54c70b5dd8c6eb Classes a Login - Powered by M Inbox (6) - emely rod M Agle Mnd - My Ag. A Feadty/Staff Direct Fommaive 6. Solve the following equations using algebraic operations. 4n-18=22 b. 3(x-4)=-18 a. C. 4x-1=2x+11 Ce & 8. 3 4arrow_forwardcari nilai x dan beri jawapan dalam bentuk p +q. V6x = V5x + V5. find the value of x and give the answer in the formp +V9. 14. (a) Jika v6x = V5x + V5, %3D (b) Diberi logs p-log: q=0, ungkapkan p dalam sebutan of q. Given that logap- logz q = 0, express p in terms of q. (c) Selesaikan persamaan Solve the equation 3(2*)+2" = 56arrow_forwardWhich of the equations are TRUE based on the exponential function. 2* = 16 Consider the following equations. log 16 log 2 I. x = 4 II. С 3 III. log, 16 IV. x = 3 log 2 log 16 VI. log16 2 V.I O a) II IV, and VI O b) 1, II, and II O C) II, III, and IV O d) 1, IV, and Varrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage