QUESTION 1 Solve using the elimination method. Use a graphing calc...

Question
QUESTION 1
Solve using the elimination method. Use a graphing calculator to check your answer.
x - 4y = 28
4x - 5y = 46
(4, -6)
(-4, -5)
(3, -5)
No solution

QUESTION 2
Solve using the substitution method. Use a graphing calculator to check your answer.
x - 5y = 20
x = y + 8
(5, -3)
(-10, 2)
No solution
Infinitely many solutions

QUESTION 3
Solve.
A lumber yard has fixed costs of $4033.80 per day and variable costs of $0.3 per board-foot produced. Lumber sells for $2.10 per board-foot. How many board-feet must be produced and sold daily to break even?
2241 board-feet
1494 board-feet
1680 board-feet
13,446 board-feet

QUESTION 4
Solve.
Find the equilibrium point for the given supply and demand functions. Here y represents price and x represents quantity.
y = 438 - 2x (demand)
y = 2x - 234 (supply)
168, $102
102, $168
436, $236
-234, $438

QUESTION 5
Solve the problem.
A car rental company charges $33 per day to rent a particular type of car and $0.18 per mile. Juan is charged $61.44 for a   rental. How many miles did he drive?
173 mi
308 mi
158 mi
341 mi

QUESTION 6
Solve the problem.
A construction company builds a swimming pool with a perimeter of 56 m. The length is 10 m more than the width. Find the dimensions of the swimming pool?
19 m × 9 m
24 m × 9 m
19 m × 10 m
14 m × 9 m

QUESTION 7
Solve graphically.
3x + y = 9
(3, 2)
(3, -2)
(-2, 3)
(2, 3)

QUESTION 8
Solve using the elimination method. Use a graphing calculator to check your answer.
-6x - 4y = 16
4x - 2y = 8
(0, -3)
(-1, -3)
(0, -4)
No solution

QUESTION 9
Solve graphically.
3x + 4y = 1
(-5, 4)
(-7, 5)
(4, -6)

QUESTION 10
Solve using the substitution method. Use a graphing calculator to check your answer.
x + y = 3
x - y = -15
(6, 10)
(-7, 10)
(-6, 9)
No solution

QUESTION 11
Solve the system of equations by elimination, if a solution exists.
x = 1, y = 6
No solution
x = 0, y = 7
x = -7, y = 0

QUESTION 12
Solve.
Find the equilibrium point for the given supply and demand functions. Here y represents price and x represents quantity.
y = 3780 - 70x (demand)
y = 110x (supply)
40, $980
34, $1400
21, $2310
40, $2310
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Question 1: The answer is (4, -6)
Question 2: The answer is (5, -3)
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      • Illuminate\Cache\Events\CacheHit (162μs)
      • Illuminate\Cache\Events\CacheHit (230μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (306μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (177μs)
      • Illuminate\Cache\Events\CacheHit (161μs)
      • Illuminate\Cache\Events\CacheHit (234μs)
      • Illuminate\Cache\Events\CacheHit (159μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (190μs)
      • Illuminate\Cache\Events\CacheHit (254μs)
      • Illuminate\Cache\Events\CacheHit (329μs)
      • Illuminate\Cache\Events\CacheHit (172μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (170μs)
      • Illuminate\Cache\Events\CacheHit (298μs)
      • Illuminate\Cache\Events\CacheHit (319μs)
      • Illuminate\Cache\Events\CacheHit (203μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheMissed (604μs)
      • Illuminate\Database\Events\StatementPrepared (746μs)
      • Illuminate\Database\Events\QueryExecuted (792μs)
      • eloquent.retrieved: App\Models\SubjectCat (83μs)
      • Illuminate\Cache\Events\KeyWritten (342μs)
      • Illuminate\Cache\Events\CacheHit (1ms)
      • Illuminate\Cache\Events\CacheHit (212μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (193μs)
      • Illuminate\Cache\Events\CacheHit (226μs)
      • Illuminate\Cache\Events\CacheHit (211μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (195μs)
      • Illuminate\Cache\Events\CacheHit (175μs)
      • Illuminate\Cache\Events\CacheHit (189μs)
      • Illuminate\Cache\Events\CacheHit (164μs)
      • Illuminate\Cache\Events\CacheHit (183μs)
      • Illuminate\Cache\Events\CacheHit (166μs)
      • Illuminate\Cache\Events\CacheHit (180μs)
      • Illuminate\Cache\Events\CacheHit (163μs)
      • Illuminate\Cache\Events\CacheHit (181μs)
      • Illuminate\Cache\Events\CacheHit (192μs)
      • creating: site.layouts.app (558μs)
      • composing: site.layouts.app (24μs)
      • creating: components.canonical (518μs)
      • composing: components.canonical (104μs)
      • creating: components.open-graph (221μs)
      • composing: components.open-graph (80μs)
      • creating: site.headers.header (446μs)
      • composing: site.headers.header (77μs)
      • Illuminate\Cache\Events\CacheHit (2.32ms)
      • creating: components.footer (86μs)
      • composing: components.footer (115μs)
      • Illuminate\Cache\Events\CacheHit (981μs)
      • Illuminate\Cache\Events\CacheMissed (402μs)
      • Illuminate\Database\Events\StatementPrepared (758μs)
      • Illuminate\Database\Events\QueryExecuted (1.09ms)
      • eloquent.retrieved: App\Models\SubjectCat (91μs)
      • Illuminate\Cache\Events\KeyWritten (1.66ms)
      • Illuminate\Cache\Events\CacheHit (404μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (197μs)
      • Illuminate\Cache\Events\CacheHit (194μs)
      • Illuminate\Cache\Events\CacheHit (248μs)
      • Illuminate\Cache\Events\CacheHit (317μs)
      • Illuminate\Cache\Events\CacheHit (348μs)
      • Illuminate\Cache\Events\CacheHit (220μs)
      • Illuminate\Cache\Events\CacheHit (215μs)
      • Illuminate\Cache\Events\CacheHit (206μs)
      • Illuminate\Cache\Events\CacheHit (398μs)
      • Illuminate\Cache\Events\CacheHit (213μs)
      • creating: components.forms.contact-us (259μs)
      • composing: components.forms.contact-us (221μs)
      • creating: components.forms.get-started (274μs)
      • composing: components.forms.get-started (79μs)
      • creating: components.forms.free-tool-download (112μs)
      • composing: components.forms.free-tool-download (189μs)
      • creating: components.forms.claim-free-worksheet (123μs)
      • composing: components.forms.claim-free-worksheet (74μs)
      • creating: components.forms.tutor-subscription-waitlist (101μs)
      • composing: components.forms.tutor-subscription-waitlist (66μs)
      • creating: components.forms.tutor-subscription-join (103μs)
      • composing: components.forms.tutor-subscription-join (67μs)
      • creating: components.forms.tutor-support (98μs)
      • composing: components.forms.tutor-support (63μs)
      • 311 x Illuminate\Cache\Events\CacheHit (14.98%)
        93.06ms
        20 x Illuminate\Database\Events\StatementPrepared (4.2%)
        26.09ms
        20 x Illuminate\Database\Events\QueryExecuted (3.88%)
        24.10ms
        11 x Illuminate\Cache\Events\CacheMissed (1.54%)
        9.59ms
        11 x Illuminate\Cache\Events\KeyWritten (1.46%)
        9.06ms
        1 x Illuminate\Foundation\Events\LocaleUpdated (0.76%)
        4.71ms
        1 x Illuminate\Routing\Events\Routing (0.39%)
        2.44ms
        12 x eloquent.retrieved: App\Models\SubjectCat (0.17%)
        1.06ms
        1 x Illuminate\Database\Events\ConnectionEstablished (0.16%)
        1.01ms
        1 x creating: homework.show (0.13%)
        793μs
        1 x creating: components.breadcrumbs (0.13%)
        793μs
        1 x Illuminate\Routing\Events\RouteMatched (0.11%)
        657μs
        1 x creating: site.layouts.app (0.09%)
        558μs
        2 x eloquent.retrieved: App\Models\Subject (0.08%)
        526μs
        1 x eloquent.booting: App\Models\SubjectCat (0.08%)
        523μs
        1 x creating: components.canonical (0.08%)
        518μs
        1 x creating: site.headers.header (0.07%)
        446μs
        7 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.05%)
        316μs
        1 x creating: components.forms.get-started (0.04%)
        274μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.04%)
        263μs
        1 x creating: components.forms.contact-us (0.04%)
        259μs
        1 x creating: components.open-graph (0.04%)
        221μs
        1 x composing: components.forms.contact-us (0.04%)
        221μs
        1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.04%)
        219μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.03%)
        210μs
        1 x composing: homework.show (0.03%)
        194μs
        1 x composing: components.forms.free-tool-download (0.03%)
        189μs
        1 x composing: components.breadcrumbs (0.03%)
        182μs
        2 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.03%)
        180μs
        1 x eloquent.booting: App\Models\Subject (0.03%)
        164μs
        1 x creating: components.forms.claim-free-worksheet (0.02%)
        123μs
        1 x composing: components.footer (0.02%)
        115μs
        1 x creating: components.forms.free-tool-download (0.02%)
        112μs
        1 x composing: components.canonical (0.02%)
        104μs
        1 x creating: components.forms.tutor-subscription-join (0.02%)
        103μs
        1 x creating: components.forms.tutor-subscription-waitlist (0.02%)
        101μs
        1 x creating: components.forms.tutor-support (0.02%)
        98μs
        1 x creating: components.footer (0.01%)
        86μs
        1 x composing: components.open-graph (0.01%)
        80μs
        1 x composing: components.forms.get-started (0.01%)
        79μs
        1 x composing: site.headers.header (0.01%)
        77μs
        1 x composing: components.forms.claim-free-worksheet (0.01%)
        74μs
        1 x composing: components.forms.tutor-subscription-join (0.01%)
        67μs
        1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibraryFile (0.01%)
        66μs
        1 x composing: components.forms.tutor-subscription-waitlist (0.01%)
        66μs
        1 x eloquent.booted: App\Models\Subject (0.01%)
        63μs
        1 x composing: components.forms.tutor-support (0.01%)
        63μs
        1 x eloquent.booted: App\Models\SubjectCat (0.01%)
        61μs
        1 x composing: site.layouts.app (0%)
        24μs
      14 templates were rendered
      • 1x homework.showshow.blade.phpblade
      • 1x components.breadcrumbsbreadcrumbs.blade.phpblade
      • 1x site.layouts.appapp.blade.phpblade
      • 1x components.canonicalcanonical.blade.phpblade
      • 1x components.open-graphopen-graph.blade.phpblade
      • 1x site.headers.headerheader.blade.phpblade
      • 1x components.footerfooter.blade.phpblade
      • 1x components.forms.contact-uscontact-us.blade.phpblade
      • 1x components.forms.get-startedget-started.blade.phpblade
      • 1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
      • 1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
      • 1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
      • 1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
      • 1x components.forms.tutor-supporttutor-support.blade.phpblade
      uri
      GET college-homework-library/{category}/{subject}/{id}
      middleware
      web, utm.parameters
      controller
      App\Http\Controllers\HomeworkLibraryController@show
      namespace
      where
      as
      homework.show
      file
      app/Http/Controllers/HomeworkLibraryController.php:79-176
      20 statements were executed, 5 of which were duplicates, 15 unique. Show only duplicated31.23ms
      • Connection Establishedtwenty4_siteHomeworkLibraryController.php#91
        Backtrace
        • 13. app/Http/Controllers/HomeworkLibraryController.php:91
        • 14. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 15. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 16. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary` where `status` = 'published' and `price` > 0 and `solutionslibrary`.`id` = '30522' limit 1
        7.82mstwenty4_siteHomeworkLibraryController.php#97
        Bindings
        • 0: published
        • 1: 0
        • 2: 30522
        Backtrace
        • 16. app/Http/Controllers/HomeworkLibraryController.php:97
        • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subjects` where `subjects`.`id` in (41)
        1.02mstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` in (30522)
        980μstwenty4_siteHomeworkLibraryController.php#97
        Backtrace
        • 21. app/Http/Controllers/HomeworkLibraryController.php:97
        • 22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
        • 25. vendor/laravel/framework/src/Illuminate/Routing/Route.php:205
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        890μstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 1
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 26. app/Http/Controllers/HomeworkLibraryController.php:105
        • 27. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • 28. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
        • 29. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • select * from `solutionslibrary` where `id` <> 30522 and `subject` = 41 and `status` = 'published' and `price` > 0 order by RAND() limit 6
        4.55mstwenty4_siteHomeworkLibraryRepository.php#30
        Bindings
        • 0: 30522
        • 1: 41
        • 2: published
        • 3: 0
        Backtrace
        • 14. app/Repositories/HomeworkLibraryRepository.php:30
        • 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 18. app/Repositories/HomeworkLibraryRepository.php:39
        • 19. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `subjects` where `subjects`.`id` in (41)
        1.12mstwenty4_siteHomeworkLibraryRepository.php#30
        Backtrace
        • 19. app/Repositories/HomeworkLibraryRepository.php:30
        • 20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 23. app/Repositories/HomeworkLibraryRepository.php:39
        • 24. app/Http/Controllers/HomeworkLibraryController.php:139
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 30522 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'question' order by `order` asc, `id` asc
        1.27mstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 30522
        • 1: question
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:58
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 30522 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'teaser' order by `order` asc, `id` asc
        970μstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 30522
        • 1: teaser
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:69
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `solutionslibrary_files` where `solutionslibrary_files`.`solutionlib_id` = 30522 and `solutionslibrary_files`.`solutionlib_id` is not null and `publish` = 'solution' order by `order` asc, `id` asc
        870μstwenty4_siteHomeworkLibrary.php#260
        Bindings
        • 0: 30522
        • 1: solution
        Backtrace
        • 15. app/Models/HomeworkLibrary/HomeworkLibrary.php:260
        • 16. app/Transformers/HomeworkLibrary/HomeworkLibraryTransformer.php:80
        • 19. vendor/league/fractal/src/TransformerAbstract.php:128
        • 20. vendor/league/fractal/src/TransformerAbstract.php:107
        • 21. vendor/league/fractal/src/Scope.php:383
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        1.23mstwenty4_siteHomeworkLibrary.php#201
        Bindings
        • 0: 1
        Backtrace
        • 20. app/Models/HomeworkLibrary/HomeworkLibrary.php:201
        • 32. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
        • 33. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 34. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
        • 35. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:70
      • select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1
        1mstwenty4_siteSubject.php#100
        Bindings
        • 0: 1
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1
        1.03mstwenty4_siteSubject.php#100
        Bindings
        • 0: 3
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 4 limit 1
        1.04mstwenty4_siteSubject.php#100
        Bindings
        • 0: 4
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1
        1.03mstwenty4_siteSubject.php#100
        Bindings
        • 0: 10
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 33 limit 1
        1.04mstwenty4_siteSubject.php#100
        Bindings
        • 0: 33
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 11 limit 1
        920μstwenty4_siteSubject.php#100
        Bindings
        • 0: 11
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1
        990μstwenty4_siteSubject.php#100
        Bindings
        • 0: 5
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1
        1.25mstwenty4_siteSubject.php#100
        Bindings
        • 0: 34
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1
        1.01mstwenty4_siteSubject.php#100
        Bindings
        • 0: 31
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
      • select * from `subject_cats` where `subject_cats`.`id` = 36 limit 1
        1.2mstwenty4_siteSubject.php#100
        Bindings
        • 0: 36
        Backtrace
        • 18. app/Models/Subject.php:100
        • 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
        • 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
        • 22. app/Models/Subject.php:101
        • 28. view::components.footer:170
      App\Models\SubjectCat
      12SubjectCat.php
      App\Models\HomeworkLibrary\HomeworkLibrary
      7HomeworkLibrary.php
      App\Models\Subject
      2Subject.php
      App\Models\HomeworkLibrary\HomeworkLibraryFile
      2HomeworkLibraryFile.php
          _token
          nPPRQMYOR42Ew63V2Rf8rzhcWRgAQjeeBwfATLyH
          utm_source
          direct
          redirectUrl
          /college-homework-library/Mathematics/Pre-Calculus/30522
          _previous
          array:1 [ "url" => "https://staging.dev.24houranswers.com/college-homework-library/Mathematics/Pre...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          PHPDEBUGBAR_STACK_DATA
          []
          path_info
          /college-homework-library/Mathematics/Pre-Calculus/30522
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
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