Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 6, Problem 2MCQ
To determine
To find:The given system of equations is consistent or inconsistent and whether that is independent using given graph.
Expert Solution & Answer
Answer to Problem 2MCQ
The given system of equations is inconsistent.
Explanation of Solution
Given information:
The given equations are
Formulaused:
If a system has at least one solution, then it is said to be consistent. If a consistent system of equations has exactly one solution, it is independent.
If a consistent system has an infinite number of solutions, it isdependent,when graphed such equations, represent the same line. If a system has no solution, it is said to be inconsistent .The graphs of such equations do not intersect, i.e., graphs are parallel.
From the graph of equations
Since, there is no solution so there is no category of the solutions being dependent or independent.
Conclusion:
The given system of equations isinconsistent.
Chapter 6 Solutions
Algebra 1
Ch. 6.1 - Prob. 1ACYPCh. 6.1 - Prob. 1BCYPCh. 6.1 - Prob. 2ACYPCh. 6.1 - Prob. 2BCYPCh. 6.1 - Prob. 3CYPCh. 6.1 - Prob. 1CYUCh. 6.1 - Prob. 2CYUCh. 6.1 - Prob. 3CYUCh. 6.1 - Prob. 4CYUCh. 6.1 - Prob. 5CYU
Ch. 6.1 - Prob. 6CYUCh. 6.1 - Prob. 7CYUCh. 6.1 - Prob. 8CYUCh. 6.1 - Prob. 9CYUCh. 6.1 - Prob. 10PPSCh. 6.1 - Prob. 11PPSCh. 6.1 - Prob. 12PPSCh. 6.1 - Prob. 13PPSCh. 6.1 - Prob. 14PPSCh. 6.1 - Prob. 15PPSCh. 6.1 - Prob. 16PPSCh. 6.1 - Prob. 17PPSCh. 6.1 - Prob. 18PPSCh. 6.1 - Prob. 19PPSCh. 6.1 - Prob. 20PPSCh. 6.1 - Prob. 21PPSCh. 6.1 - Prob. 22PPSCh. 6.1 - Prob. 23PPSCh. 6.1 - Prob. 24PPSCh. 6.1 - Prob. 25PPSCh. 6.1 - Prob. 26PPSCh. 6.1 - Prob. 27PPSCh. 6.1 - Prob. 28PPSCh. 6.1 - Prob. 29PPSCh. 6.1 - Prob. 30PPSCh. 6.1 - Prob. 31PPSCh. 6.1 - Prob. 32PPSCh. 6.1 - Prob. 33PPSCh. 6.1 - Prob. 34PPSCh. 6.1 - Prob. 35PPSCh. 6.1 - Prob. 36PPSCh. 6.1 - Prob. 37PPSCh. 6.1 - Prob. 38PPSCh. 6.1 - Prob. 39PPSCh. 6.1 - Prob. 40PPSCh. 6.1 - Prob. 41PPSCh. 6.1 - Prob. 42PPSCh. 6.1 - Prob. 43PPSCh. 6.1 - Prob. 44PPSCh. 6.1 - Prob. 45PPSCh. 6.1 - Prob. 46PPSCh. 6.1 - Prob. 47HPCh. 6.1 - Prob. 48HPCh. 6.1 - Prob. 49HPCh. 6.1 - Prob. 50HPCh. 6.1 - Prob. 51HPCh. 6.1 - Prob. 52HPCh. 6.1 - Prob. 53STPCh. 6.1 - Prob. 54STPCh. 6.1 - Prob. 55STPCh. 6.1 - Prob. 56STPCh. 6.1 - Prob. 57SRCh. 6.1 - Prob. 58SRCh. 6.1 - Prob. 59SRCh. 6.1 - Prob. 60SRCh. 6.1 - Prob. 61SRCh. 6.1 - Prob. 62SRCh. 6.1 - Prob. 63SRCh. 6.1 - Prob. 64SRCh. 6.1 - Prob. 65SRCh. 6.1 - Prob. 66SRCh. 6.1 - Prob. 67SRCh. 6.1 - Prob. 68SRCh. 6.1 - Prob. 69SCh. 6.1 - Prob. 70SCh. 6.1 - Prob. 71SCh. 6.1 - Prob. 72SCh. 6.1 - Prob. 73SCh. 6.1 - Prob. 74SCh. 6.1 - Prob. 75SCh. 6.1 - Prob. 76SCh. 6.2 - Prob. 1ACYPCh. 6.2 - Prob. 1BCYPCh. 6.2 - Prob. 2ACYPCh. 6.2 - Prob. 2BCYPCh. 6.2 - Prob. 3ACYPCh. 6.2 - Prob. 3BCYPCh. 6.2 - Prob. 4CYPCh. 6.2 - Prob. 1CYUCh. 6.2 - Prob. 2CYUCh. 6.2 - Prob. 3CYUCh. 6.2 - Prob. 4CYUCh. 6.2 - Prob. 5CYUCh. 6.2 - Prob. 6CYUCh. 6.2 - Prob. 7CYUCh. 6.2 - Prob. 8PPSCh. 6.2 - Prob. 9PPSCh. 6.2 - Prob. 10PPSCh. 6.2 - Prob. 11PPSCh. 6.2 - Prob. 12PPSCh. 6.2 - Prob. 13PPSCh. 6.2 - Prob. 14PPSCh. 6.2 - Prob. 15PPSCh. 6.2 - Prob. 16PPSCh. 6.2 - Prob. 17PPSCh. 6.2 - Prob. 18PPSCh. 6.2 - Prob. 19PPSCh. 6.2 - Prob. 20PPSCh. 6.2 - Prob. 21PPSCh. 6.2 - Prob. 22PPSCh. 6.2 - Prob. 23PPSCh. 6.2 - Prob. 24PPSCh. 6.2 - Prob. 25PPSCh. 6.2 - Prob. 26PPSCh. 6.2 - Prob. 27HPCh. 6.2 - Prob. 28HPCh. 6.2 - Prob. 29HPCh. 6.2 - Prob. 30HPCh. 6.2 - Prob. 31HPCh. 6.2 - Prob. 32STPCh. 6.2 - Prob. 33STPCh. 6.2 - Prob. 34STPCh. 6.2 - Prob. 35STPCh. 6.2 - Prob. 36SRCh. 6.2 - Prob. 37SRCh. 6.2 - Prob. 38SRCh. 6.2 - Prob. 39SRCh. 6.2 - Prob. 40SRCh. 6.2 - Prob. 41SRCh. 6.2 - Prob. 42SRCh. 6.2 - Prob. 43SRCh. 6.2 - Prob. 44SRCh. 6.2 - Prob. 45SRCh. 6.2 - Prob. 46SRCh. 6.2 - Prob. 47SCh. 6.2 - Prob. 48SCh. 6.2 - Prob. 49SCh. 6.2 - Prob. 50SCh. 6.3 - Prob. 1ACYPCh. 6.3 - Prob. 1BCYPCh. 6.3 - Prob. 2CYPCh. 6.3 - Prob. 3CYPCh. 6.3 - Prob. 4CYPCh. 6.3 - Prob. 1CYUCh. 6.3 - Prob. 2CYUCh. 6.3 - Prob. 3CYUCh. 6.3 - Prob. 4CYUCh. 6.3 - Prob. 5CYUCh. 6.3 - Prob. 6CYUCh. 6.3 - Prob. 7PPSCh. 6.3 - Prob. 8PPSCh. 6.3 - Prob. 9PPSCh. 6.3 - Prob. 10PPSCh. 6.3 - Prob. 11PPSCh. 6.3 - Prob. 12PPSCh. 6.3 - Prob. 13PPSCh. 6.3 - Prob. 14PPSCh. 6.3 - Prob. 15PPSCh. 6.3 - Prob. 16PPSCh. 6.3 - Prob. 17PPSCh. 6.3 - Prob. 18PPSCh. 6.3 - Prob. 19PPSCh. 6.3 - Prob. 20PPSCh. 6.3 - Prob. 21PPSCh. 6.3 - Prob. 22PPSCh. 6.3 - Prob. 23PPSCh. 6.3 - Prob. 24PPSCh. 6.3 - Prob. 25PPSCh. 6.3 - Prob. 26PPSCh. 6.3 - Prob. 27PPSCh. 6.3 - Prob. 28PPSCh. 6.3 - Prob. 29PPSCh. 6.3 - Prob. 30PPSCh. 6.3 - Prob. 31PPSCh. 6.3 - Prob. 32PPSCh. 6.3 - Prob. 33PPSCh. 6.3 - Prob. 34HPCh. 6.3 - Prob. 35HPCh. 6.3 - Prob. 36HPCh. 6.3 - Prob. 37HPCh. 6.3 - Prob. 38HPCh. 6.3 - Prob. 39HPCh. 6.3 - Prob. 40STPCh. 6.3 - Prob. 41STPCh. 6.3 - Prob. 42STPCh. 6.3 - Prob. 43STPCh. 6.3 - Prob. 44SRCh. 6.3 - Prob. 45SRCh. 6.3 - Prob. 46SRCh. 6.3 - Prob. 47SRCh. 6.3 - Prob. 48SRCh. 6.3 - Prob. 49SRCh. 6.3 - Prob. 50SRCh. 6.3 - Prob. 51SRCh. 6.3 - Prob. 52SRCh. 6.3 - Prob. 53SRCh. 6.3 - Prob. 54SRCh. 6.3 - Prob. 55SRCh. 6.3 - Prob. 56SCh. 6.3 - Prob. 57SCh. 6.3 - Prob. 58SCh. 6.3 - Prob. 59SCh. 6.4 - Prob. 1ACYPCh. 6.4 - Prob. 1BCYPCh. 6.4 - Prob. 2ACYPCh. 6.4 - Prob. 2BCYPCh. 6.4 - Prob. 3CYPCh. 6.4 - 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Prob. 50SCh. 6.4 - Prob. 51SCh. 6.4 - Prob. 52SCh. 6.4 - Prob. 53SCh. 6.4 - Prob. 54SCh. 6.5 - Prob. 1ACYPCh. 6.5 - Prob. 1BCYPCh. 6.5 - Prob. 1CCYPCh. 6.5 - Prob. 1DCYPCh. 6.5 - Prob. 2CYPCh. 6.5 - Prob. 1CYUCh. 6.5 - Prob. 2CYUCh. 6.5 - Prob. 3CYUCh. 6.5 - Prob. 4CYUCh. 6.5 - Prob. 5CYUCh. 6.5 - Prob. 6PPSCh. 6.5 - Prob. 7PPSCh. 6.5 - Prob. 8PPSCh. 6.5 - Prob. 9PPSCh. 6.5 - Prob. 10PPSCh. 6.5 - Prob. 11PPSCh. 6.5 - Prob. 12PPSCh. 6.5 - Prob. 13PPSCh. 6.5 - Prob. 14PPSCh. 6.5 - Prob. 15PPSCh. 6.5 - Prob. 16PPSCh. 6.5 - Prob. 17PPSCh. 6.5 - Prob. 18PPSCh. 6.5 - Prob. 19PPSCh. 6.5 - Prob. 20PPSCh. 6.5 - Prob. 21HPCh. 6.5 - Prob. 22HPCh. 6.5 - Prob. 23HPCh. 6.5 - Prob. 24HPCh. 6.5 - Prob. 25HPCh. 6.5 - Prob. 26HPCh. 6.5 - Prob. 27STPCh. 6.5 - Prob. 28STPCh. 6.5 - Prob. 29STPCh. 6.5 - Prob. 30STPCh. 6.5 - Prob. 31SRCh. 6.5 - Prob. 32SRCh. 6.5 - Prob. 33SRCh. 6.5 - Prob. 34SRCh. 6.5 - Prob. 35SRCh. 6.5 - Prob. 36SRCh. 6.5 - Prob. 37SRCh. 6.5 - Prob. 38SRCh. 6.5 - Prob. 39SCh. 6.5 - Prob. 40SCh. 6.5 - 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Prob. 39STPCh. 6.6 - Prob. 40STPCh. 6.6 - Prob. 41STPCh. 6.6 - Prob. 43SRCh. 6.6 - Prob. 44SRCh. 6.6 - Prob. 45SRCh. 6.6 - Prob. 46SRCh. 6.6 - Prob. 47SRCh. 6.6 - Prob. 48SRCh. 6.6 - Prob. 49SRCh. 6.6 - Prob. 50SRCh. 6.6 - Prob. 51SRCh. 6.6 - Prob. 52SCh. 6.6 - Prob. 53SCh. 6.6 - Prob. 54SCh. 6.6 - Prob. 55SCh. 6.6 - Prob. 56SCh. 6.6 - Prob. 57SCh. 6.6 - Prob. 2CYPCh. 6.6 - Prob. 25PPSCh. 6.6 - Prob. 42STPCh. 6.7 - Prob. 1ACYPCh. 6.7 - Prob. 1BCYPCh. 6.7 - Prob. 2ACYPCh. 6.7 - Prob. 2BCYPCh. 6.7 - Prob. 1CYUCh. 6.7 - Prob. 2CYUCh. 6.7 - Prob. 3CYUCh. 6.7 - Prob. 4CYUCh. 6.7 - Prob. 5CYUCh. 6.7 - Prob. 6CYUCh. 6.7 - Prob. 7CYUCh. 6.7 - Prob. 8CYUCh. 6.7 - Prob. 9CYUCh. 6.7 - Prob. 10CYUCh. 6.7 - Prob. 11CYUCh. 6.7 - Prob. 12PPSCh. 6.7 - Prob. 13PPSCh. 6.7 - Prob. 14PPSCh. 6.7 - Prob. 15PPSCh. 6.7 - Prob. 16PPSCh. 6.7 - Prob. 17PPSCh. 6.7 - Prob. 18PPSCh. 6.7 - Prob. 19PPSCh. 6.7 - Prob. 20PPSCh. 6.7 - Prob. 21PPSCh. 6.7 - Prob. 22PPSCh. 6.7 - Prob. 23PPSCh. 6.7 - Prob. 24PPSCh. 6.7 - Prob. 25PPSCh. 6.7 - 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Prob. 7CYUCh. 6.8 - Prob. 8CYUCh. 6.8 - Prob. 9CYUCh. 6.8 - Prob. 10PPSCh. 6.8 - Prob. 11PPSCh. 6.8 - Prob. 12PPSCh. 6.8 - Prob. 13PPSCh. 6.8 - Prob. 14PPSCh. 6.8 - Prob. 15PPSCh. 6.8 - Prob. 16PPSCh. 6.8 - Prob. 17PPSCh. 6.8 - Prob. 18PPSCh. 6.8 - Prob. 19PPSCh. 6.8 - Prob. 20PPSCh. 6.8 - Prob. 21PPSCh. 6.8 - Prob. 22PPSCh. 6.8 - Prob. 23PPSCh. 6.8 - Prob. 24PPSCh. 6.8 - Prob. 25PPSCh. 6.8 - Prob. 26PPSCh. 6.8 - Prob. 27PPSCh. 6.8 - Prob. 28PPSCh. 6.8 - Prob. 29PPSCh. 6.8 - Prob. 30PPSCh. 6.8 - Prob. 31PPSCh. 6.8 - Prob. 32PPSCh. 6.8 - Prob. 33PPSCh. 6.8 - Prob. 34PPSCh. 6.8 - Prob. 35PPSCh. 6.8 - Prob. 36PPSCh. 6.8 - Prob. 37PPSCh. 6.8 - Prob. 38HPCh. 6.8 - Prob. 39HPCh. 6.8 - Prob. 40HPCh. 6.8 - Prob. 41HPCh. 6.8 - Prob. 42HPCh. 6.8 - Prob. 43HPCh. 6.8 - Prob. 44STPCh. 6.8 - Prob. 45STPCh. 6.8 - Prob. 46STPCh. 6.8 - Prob. 47STPCh. 6.8 - Prob. 48SRCh. 6.8 - Prob. 49SRCh. 6.8 - Prob. 50SRCh. 6.8 - Prob. 51SRCh. 6.8 - Prob. 52SRCh. 6.8 - Prob. 53SRCh. 6.8 - Prob. 54SRCh. 6.8 - Prob. 55SRCh. 6.8 - 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Prob. 50SGRCh. 6 - Prob. 51SGRCh. 6 - Prob. 52SGRCh. 6 - Prob. 53SGRCh. 6 - Prob. 54SGRCh. 6 - Prob. 56SGRCh. 6 - Prob. 57SGRCh. 6 - Prob. 58SGRCh. 6 - Prob. 59SGRCh. 6 - Prob. 60SGRCh. 6 - Prob. 61SGRCh. 6 - Prob. 62SGRCh. 6 - Prob. 63SGRCh. 6 - Prob. 64SGRCh. 6 - Prob. 65SGRCh. 6 - Prob. 66SGRCh. 6 - Prob. 67SGRCh. 6 - Prob. 68SGRCh. 6 - Prob. 69SGRCh. 6 - Prob. 70SGRCh. 6 - Prob. 9PTCh. 6 - Prob. 12PTCh. 6 - Prob. 14PTCh. 6 - Prob. 1STPCh. 6 - Prob. 2STPCh. 6 - Prob. 3STPCh. 6 - Prob. 4STPCh. 6 - Prob. 5STPCh. 6 - Prob. 6STPCh. 6 - Prob. 7STPCh. 6 - Prob. 9STPCh. 6 - Prob. 10STPCh. 6 - Prob. 11STPCh. 6 - Prob. 12STPCh. 6 - Prob. 13STPCh. 6 - Prob. 14STPCh. 6 - Prob. 16STPCh. 6 - Prob. 17STPCh. 6 - Prob. 18STPCh. 6 - Prob. 1PTCh. 6 - Prob. 2PTCh. 6 - Prob. 3PTCh. 6 - Prob. 4PTCh. 6 - Prob. 5PTCh. 6 - Prob. 6PTCh. 6 - Prob. 8PTCh. 6 - Prob. 10PTCh. 6 - Prob. 11PTCh. 6 - Prob. 13PTCh. 6 - Prob. 15PTCh. 6 - Prob. 16PTCh. 6 - Prob. 17PTCh. 6 - Prob. 18PTCh. 6 - Prob. 19PTCh. 6 - Prob. 20PTCh. 6 - Prob. 21PTCh. 6 - Prob. 22PTCh. 6 - Prob. 23PTCh. 6 - Prob. 24PTCh. 6 - Prob. 25PTCh. 6 - Prob. 55SGRCh. 6 - Prob. 71SGRCh. 6 - Prob. 7PTCh. 6 - Prob. 8STPCh. 6 - Prob. 15STP
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- ??!!arrow_forwardrections: For problem rough 3, read each question carefully and be sure to show all work. 1. Determine if 9(4a²-4ab+b²) = (6a-3b)² is a polynomial identity. 2. Is (2x-y) (8x3+ y³) equivalent to 16x4-y4? 3. Find an expression that is equivalent to (a - b)³. Directions: For problems 4 and 5, algebraically prove that the following equations are polynomial identities. Show all of your work and explain each step. 4. (2x+5)² = 4x(x+5)+25 5. (4x+6y)(x-2y)=2(2x²-xy-6y²)arrow_forwardName: Mussels & bem A section of a river currently has a population of 20 zebra mussels. The population of zebra mussels increases 60 % each month. What will be the population of zebra mussels after 2 years? 9 10 # of months # of mussels 1 2 3 4 5 6 7 8 o Graph your data. Remember to title your graph. What scale should be used on the y-axis? What scale should be used on the x-axis? Exponential Growth Equation y = a(1+r)*arrow_forward
- In a national park, the current population of an endangered species of bear is 80. Each year, the population decreases by 10%. How can you model the population of bears in the park? # of years # of bears 9 10 2 3 4 5 6 7 8 ° 1 Graph your data. Remember to title your graph. What scale should be used on the y-axis? What scale should be used on the x-axis? SMOKY 19 OUNTAINS NATIONAL Exponential Decay Equation y = a(1-r)* PARKarrow_forwardOn Feb. 8, this year, at 6am in the morning all UiB meteorology professors met to discuss a highly unfortunate and top-urgent crisis: Their most precious instrument, responsible for measuring the air temperature hour-by- hour, had failed - what if the Bergen public would find out? How would they plan their weekend without up-to-date air temperature readings? Silent devastation - and maybe a hint of panic, also - hung in the room. Apprentice Taylor, who - as always - was late to the meeting, sensed that this was his chance to shine! Could they fake the data? At least for some hours (until the measurements would work again)? He used to spend a lot of time online and thus knew the value of fake data, especially when it spread fast! He reminded the crying professors of a prehistoric project with the title "Love your derivatives as you love yourself!" - back then, they had installed top-modern technology that not only measured the air temperature itself, but also its 1st, 2nd, 3rd, 4th, and…arrow_forwardConsider a forest where the population of a particular plant species grows exponentially. In a real-world scenario, we often deal with systems where the analytical function describing the phenomenon is not available. In such cases, numerical methods come in handy. For the sake of this task, however, you are provided with an analytical function so that you can compare the results of the numerical methods to some ground truth. The population P(t) of the plants at time t (in years) is given by the equation: P(t) = 200 0.03 t You are tasked with estimating the rate of change of the plant population at t = 5 years using numerical differentiation methods. First, compute the value of P'(t) at t = 5 analytically. Then, estimate P'(t) at t = 5 years using the following numerical differentiation methods: ⚫ forward difference method (2nd-order accurate) 3 ⚫ backward difference method (2nd-order accurate) ⚫ central difference method (2nd-order accurate) Use h = 0.5 as the step size and round all…arrow_forward
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