MATHEMATICS MIDDLE SCHOOL

Find k if (x-3) is a factor of k^(2) x^(2) -kx-2. 

Answers

Answer 1
Answer: w(x)=k^2x^2-kx-2\n\n(x-3)\ is\ a\ factor\ w(x)\ then\ w(3)=0.\n\nSubstitute:\n\nk^2\cdot3^2-k\cdot3-2=0\n9k^2-3k-2=0\n9k^2-6k+3k-2=0\n3k(3k-2)+1(3k-2)=0\n(3k-2)(3k+1)=0\iff3k-2=0\ \vee\ 3k+1=0\n3k=2\ \vee\ 3k=-1\n\n\underline{\underline{k=(2)/(3)\ \vee\ k=-(1)/(3)}}
Answer 2
Answer: k can be (-1/3) or (2/3).
since (x-3) is a factor. if you put x=3 in the equation, it must be equal to zero. So the equation becomes (9k2 - 3k -2 = 0). if you solve this you will get k=(-1/3) and k=(2/3). You can substitute this k in the original equation and check, (x-3) is a factor.

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How is 3/4 written in decimal

Answers

3/4

= 0.75

Divide and move the decimal 2 places to the left. 
0.75 is how 3/4 is written in decimal

Draw a quadrilateral with 4 square corners and opposite sides the same length.What is the name of this quadrilateral?

Answers

that is a rectangle.
Rectangle.. It is! Well the question to the answer s a rectangle!

What is 2/3 of 24 bananas

Answers

A way to find 2/3 of 24 is to divide 24 by 3,

24 divided by 3 is 8.

There are 3 8's in 24.

The fraction is asking for 2 8's, so 8 times 2 is 16.

16 is 2/3rd's of 24
Or you can go the easy way and multiply 2/3 by 24
.666666 whatever time 24 is also easily round up to 16, less thinking more doing bro

Lots of points:school A has 480 students and 16 classrooms. school B has 192 students and 12 classrooms.
how many students would have to transfer for the ratio of students to classrooms were the same?

thanks

Answers

480 + 192 = 672 students total
16 + 12 = 28 classrooms total
672/28 = 24 students per room
24 * 12 = 288 students that need to be in school B
288 - 192 = 96 students who have to transfer
School B is the right answer

Bonita evaluated 5/6 × 1 2/3 and got an answer of 7/3. How can you tell that her answer is wrong?A. The answer must be less than 5/6.


B. The answer cannot be an improper fraction.


C. 5/6 of a number cannot be greater than the number.


D. The denominator cannot be the same as one of the factors.

Answers

Answer:  Option 'C' is correct.

Step-by-step explanation:

Since we have given that

(5)/(6)* 1(2)/(3)\n\n=(5)/(6)* (5)/(3)\n\n=(5* 5)/(6* 3)\n\n=(25)/(18)

But she gets (7)/(3) as an answer.

As we know that

(5)/(6)  of a number cannot be greater than the number.

Because the value of (5)/(6) is 0.84 which is less than 1.

So, (5)/(6)  of a number cannot be greater than the number

and

(7)/(3)=2.34\n\nbut\n\n(25)/(18)=1.38

1.38<2.34 i.e.

(25)/(18)<(7)/(3)

So, Option 'C' is correct.
Convert the mixed number 1 2/3 into an improper fraction first by multiplying the denominator by the whole number part and add the numerator to get the new numerator. Place the new numerator over the old denominator.

5 * 5/6 * 3

Multiply 5 by 5 to get 25. 

25/6 * 3

Multiply 6 by 3 to get 18. 

25/18

1 7/18

HELPJames will draw a rectangle with an area of 25 square inches. Which set of measurements can James use?

A.length =5 1/2
width =5 in.
B. Length= 5 3/4 width 4 3/4 in.
C. Length 12 1/2
Width = 2 in.
D. Length 12 1/2
Width 12 1/2 inches

Then figure out the perimeter of the rectangle you selected

Answers

The answer for your question is A. The reason why it's a is because the are for the rectangle is 25. So your answer has to be 25. So for A the length is 5 1/2 so divide 1/2 you will get 0.5 then multiply 0.5 to 5 that will give you 25. The for Width it's the same thing so you divide 25 into 5 you will get 5 and multiply 5 times that will give you 25.

Hope this helps:)
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