When lines intersect in one place they are Algebra homework help

QUESTION 1

1. When lines intersect in one place, they are ____________________.
   

   		consistent
   		independent
   		dependent
   		inconsistent

2 points

QUESTION 2

1. Does the following system of equations have a solution?
   

   		yes
   		no

2 points

QUESTION 3

1. What is the approximate solution of the following system of equations?
   

   		(-.7, -1.7)
   		(.7, 1.7)
   		(.7, -1.7)
   		(-.7, 1.7)

2 points

QUESTION 4

1. Solve the following system of equations by using the substitution method.
   x = 4 – 2y
   4x + 8y = 16
   

   		Consistent
   		(4, 0)
   		(0, 2)
   		Inconsistent

2 points

QUESTION 5

1. Solve the following system of equations by using the substitution method.
   x – y = 3
   2x + 2y = 2
   

   		(3, 4)
   		(-4, 5)
   		(2, -1)
   		Inconsistent

2 points

QUESTION 6

1. Solve the following system of equations by using the elimination method.
   3x – 3y = 5
   -x + y = 7
   

   		(4, 0)
   		(0, 4)
   		Inconsistent
   		Consistent

2 points

QUESTION 7

1. Solve the following system of equations by using the elimination method.
   2x – 4y = 8
   3x + 8y = -2
   

   		(1, 3)
   		(4, 5)
   		(2, -1)
   		(-2, -1)

2 points

QUESTION 8

1. Solve the following system of equations using matrices.
   x + 3y = 13
   2x – y = -9
   

   		(2, 5)
   		(3, -1)
   		(-2, 5)
   		(3, 0)

2 points

QUESTION 9

1. Solve the following system of equations using matrices.
   4x – 2x = -6
   3x – 6y = -18
   

   		(40, 90)
   		(3, 0)
   		(0, 3)
   		(-6, 18)

2 points

QUESTION 10

1. The difference of two numbers is 4. 5 times the smaller number is four more than three times the larger. Find the two numbers.
   

   		-10 and -14
   		10 and 14
   		8 and 12
   		-8 and -12

QUESTION 1

1. Triangle ABC is congruent to triangle DFE. Find x.
   

   		30
   		22
   		11
   		20

2 points

QUESTION 2

1. Triangle DEF is congruent to triangle GHI. Side EF measures 52. Side GH measures 10x – 13. Side HI measures 12x – 16. Find the value of x.
   

   		7.14
   		1.5
   		5.67
   		6.5

2 points

QUESTION 3

1. Triangle ABC and DEF are congruent. Find x.
   

   		12
   		9
   		4
   		-4

2 points

QUESTION 4

1. Triangle ABC is congruent to triangle DFE. Find x.
   

   		6
   		3
   		8

2 points

QUESTION 5

1. Triangle RSV is congruent to triangle TVS. Find x.
   

   		20
   		37.5
   		4.5
   		5.3

2 points

QUESTION 6

1. Triangle ABC is similar to triangle FGH. Angle A measures 42 degrees. Angle G measures 49 degrees. Find the measure of angle H.
   

   		42
   		89
   		119
   		29

2 points

QUESTION 7

1. Triangles QVS and RTS are similar. Find side VS.
   

   		20
   		30
   		35
   		25

2 points

QUESTION 8

1. Triangles MOP and MNQ are similar. Find x.
   

   		2
   		3

2 points

QUESTION 9

1. Triangle ABE is similar to triangle ACD. Find x.
   

   		3.4
   		2.7
   		4.5
   		2.1

2 points

QUESTION 10

1. Triangle ABC is similar to triangle XYZ. Side AB measures 2, side BC measures x + 5, side CA measures x + 7, side XY measures 4 and side ZX measures 4x – 2. Find the value of x.
   

   		6.33
   		7.2
   		5
   		8

QUESTION 1

1. Find the number of permutations in the word “calculus”.
   

   		5040
   		3720
   		2520
   		1034

2 points

QUESTION 2

1. Find the number of permutations in the word “swimming”.
   

   		20,160
   		15,120
   		12,144
   		10,080

2 points

QUESTION 3

1. Find the number of permutations in the word “circus”.
   

   		360
   		720
   		980
   		1023

2 points

QUESTION 4

1. Find the number of permutations in the word “orange”.
   

   		720
   		1023
   		360
   		980

2 points

QUESTION 5

1. In how many ways can a teacher arrange 5 students in the front row of a classroom with a total of 23 students?
   

   		4,037,880
   		3,037,880
   		2,037,880
   		1,037,880

2 points

QUESTION 6

1. How many different 12-member juries can be chosen from a pool of 35 people?
   

   		534,451,800
   		634,451,800
   		734,451,800
   		834,451,800

2 points

QUESTION 7

1. A delicatessen offers 4 different breads, 4 cheeses, and 6 different meats. In how many ways can a
   sandwich be made with 1 bread, 2 cheese and 3 meats?
   

   		360
   		420
   		480
   		540

2 points

QUESTION 8

1. How many ways are there to choose a committee of 3 people from a group of 5 people?
   

   		10
   		12
   		60
   		70

2 points

QUESTION 9

1. Find the number of ways to purchase 3 different kinds of drinks from a selection of 10 drinks.
   

   		100
   		110
   		120
   		140

2 points

QUESTION 10

1. A test consists of 20 problems and students are told to answer any 10 of these questions. In how
   many different ways can they choose the 10 questions?
   

   		168,394
   		184,756
   		192,548
   		203,832

2 points

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QUESTION 1

1. The following is a geometric sequence.
   3, 6, 12, 24,…
   

   		True
   		False

2 points

QUESTION 2

1. The following is a geometric sequence.
   1, -2, 4, -8, 16,…
   

   		True
   		False

2 points

QUESTION 3

1. What is the r value of the following geometric sequence?
   40, 20, 10, 5,…
   

   		2
   		3

2 points

QUESTION 4

1. What is the r value of the following geometric sequence?
   20, 40, 80, 160,…
   

   		2
   		3
   		4
   		5

2 points

QUESTION 5

1. Find the 6^th term of a geometric sequence with t₁=5 and r =
   

2 points

QUESTION 6

1. Find two geometric means between 4 and 13.5.
   

   		6, 9
   		7, 11
   		8, 12
   		9, 14

2 points

QUESTION 7

1. Find S₁₁ for the geometric series 1 + 3 + 9 + 27 +…
   

   		84,934
   		88,573
   		93,198
   		96,143

2 points

QUESTION 8

1. Find S⁸ for the geometric series 256 + 64 + 16 + 4 +…
   

   		357.62
   		341.33
   		338.25
   		324.13

2 points

QUESTION 9

1. Find the sum of the following infinite geometric series, if it exists.
   2 + 1.5 + 1.125 + 0.8437 +…
   

   		Does not exist
   		8
   		10
   		12

2 points

QUESTION 10

1. Find the sum of the following infinite geometric series, if it exists.
   4 + 3.2 + 2.56 + 2.048 + …
   

   		Does not exist
   		20
   		22
   		24

2 points

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