MATHEMATICS MIDDLE SCHOOL

Which is the completely factored form of f(x) = x^3 - 2x^2 - 5x + 6?

Answers

Answer 1
Answer:

Answer:

(x - 1)(x - 3)(x + 2).

Step-by-step explanation:

f(1) = 1^3 - 2(1)^2 - 5(1) + 6

= 1 - 2 - 5 + 6

= 0

so one factor is (x - 1)  (by the Factor Theorem).

Divide f(x) by x - 1 we get:

x- 1) x^3 - 2x^2 - 5x + 6 (  x^2 - x - 6 <------ answer

       x^3 - x^2

              -x^2 - 5x

              -x^2 + x

                       -6x + 6

                        -6x + 6

= x^2  - x - 6  

= (x - 3)(x + 2).

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Challenger Elementary School has 800 students. Every Wednesday, 12%, percent of the students stay after school for Chess Club. How many students attend Chess Club on Wednesdays?

Answers

96 students attend the Chess Club every Wednesday.

800 is 100% of the population. We simply multiply 12% to the population of 800 to get its value.

800 x 12% = 96 students

To check: divide 96 by 800 to get its percentage.

96 / 800 = 0.12 x 100% = 12%

96 students is equivalent to 12% of 800, the school's total population.

96 students

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there are 33 students in the band there are more 5th grade students than 3rd grade students there is an equal number of 3rd grade and fourth grade students how many third grade students are in the band

Answers

Use A for third graders, B for fourth graders, and C for fifth graders.

33 = A + B + C

Since there are 3 variables, you need to come up with two other equations to substitute in. 

C = 6 + A Since there are six more fifth graders than third graders. 

A = B Since there is an equal amount of third and fourth graders.

Since A is in both equations, then lets put each variable in terms of A. 

B = A

C = 6 + A

So:

A + A + A + 6 = 33

A + A + A = 27 Since you subtract 6 from both sides.

3A = 27 Since you combine all three A's. 

A = 9 Since you divide both sides by three. 

Therefore, since A is a number of third graders, there are 9 third graders.

(Sorry if there's any typos.

Answer:

there are 9 third graders

Step-by-step explanation:

What is the squared root of 1,000,000?A.
1053
B.
1032
C.
1000
D.
1019

Answers

It would be 1000 because if you do 1000 times 1000 you would get 1000

Choose all fractions equivalent to each given fraction. Given fractionCheck all fractions that are equivalent to the given fraction. 3−7 −37 37 −3−7 −37 Given fractionCheck all fractions that are equivalent to the given fraction. −4−9 −49 −49 4−9 49

Answers

3788 is the anwser 0-7-3737-7-37 -7-3737-7-37 -3734-7-37 -3751-37 -3788 answer

Alison has twice as many video games as Kyle. Maurice has 5 more video games than Alison. The total number of video games is less than 40. a. Write an inequality to represent this situation.b. Solve the inequality to determine the greatest number of video games Maurice could have.

Answers

So,

a.
Let
1. Alison be "a"
2. Kyle be "k"
3. Maurice be "m"

a = 2k
m = a + 5
m = 2k + 5

40 > 5k + 5

35 > 5k
7 > k
The relationship between k and m:
m = 2k + 5
19 > m 
MAURICE CANNOT HAVE MORE THAN 19 VIDEO GAMES.

A construction company built bleachers that can hold a 149,227 pounds. How many 169-pound people can the bleachers hold?

Answers

Answer: 883 people

Step-by-step explanation: If the bleachers can hold 149,227 pounds and each person weighs 169 pounds, then you would do 149,227 divided by 169 to get 883.

149,227 ÷ 169 = 883

Answer:

883 people

Step-by-step explanation:

This is a division problem.

(149,227 lb)/(169 lb) = 883

Answer: 883 people.
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