MATHEMATICS MIDDLE SCHOOL

Which of the following is the correct factorization of the polynomial below?
3p^2-15pq+20q^2

Answers

Answer 1
Answer:

The polynomial 3p²-15pq+20q² can be factored as (p-2q)(3p-10q).

What is the Factorization?

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The polynomial is given as follows:

3p²-15pq+20q²

It is required to find the factorization of the given polynomial.

The greatest common factor (GCF) of the coefficients (3, -15, 20), is 3.

Rewrite the polynomial using the GCF of 3. We get:

3(p²-5pq+6q²)

We need to find two numbers that multiply to 6q² and add to -5pq.

The numbers are -2q and -3p.

Combine the factored quadratic expression with the GCF of 3.

3(p-2q)(p-3q)

Therefore, the correct factorization of the polynomial 3p²-15pq+20q² is 3(p-2q)(p-3q).

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Answer 2
Answer:

Answer:

The polynomial is irreducible.

Step-by-step explanation:

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Elena packed 48 cubes into this box each Cube has edges that are 1 centimeter how many layers of Cubes did Elena make
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The male elephant at the city zoo weights 8,000 pounds, which is the same as 4 tons. The female elephant weights 7,000 pounds. How many does she weight?

What is the reduced form of 25/50

Answers

5/10 is rhe reduced form because 5 goes into both so 25/5=5
And 50/5=10
The reduced form would be 1/2.
This is because 25 divides into itself once and divides into 50 twice. It is the largest number that divides into both of them.

Sammi bought 2dozen valentines. How many valentines did sammi have left after giving 7/8 of them to her classmates

Answers

Dozen = 12

2 dozen

2x12=24

7/8 of 24

24 / 8 = 3 
3 x 7 = 21
24- 21= 3

3 roses are left over

Help Me on these questions!!!!!!!On Monday, a work group eats at Ava's cafe, where a lunch special is $8 and a dessert is $2. The total is $108. On Friday, the group eats at Bo's cafe, where a lunch special is $6 and a dessert is $3. The total is $90. Each time, the group orders the same number of desserts. How many lunches and desserts are ordered?

Just Check This!!!!!

Answers

On Monday, 11 lunches and 10 desserts are ordered. On Friday, 10 lunches and 10 desserts are ordered.
11 lunches and 10 desserts Monday at Ava's cafe and 10lunches and10 desserts Friday at Bo's cafe

Please help me solve #2

Answers

the answer is D because the others don’t work

Answer D, because 3•6+6 does not equal 18.

Kyle drank 2/3 cup of Apple juice.wich fracción is equivalent to 2/3¿A.2/9
B.2/6
C.6/9
D.9/6

Answers

Option C is correct, the fraction  equivalent to 2/3 is 6/9.

What is Fraction?

A fraction represents a part of a whole.

Given that Kyle drank 2/3 cup of Apple juice.

We have to find the  equivalent fractions of 2/3.

When a fraction is reduced to its lowest terms, the numerator and denominator have no common factor other than 1.

2/3 can be reduced to 6/9 by dividing both the numerator and denominator by 3.

2/3×3/3=6/9

2/3 and 6/9 are equivalentfractions because they both represent the same portion or ratio of the whole.

Hence, option C is correct, the fraction  equivalent to 2/3 is 6/9.

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C. Because all the have to do is see what the multiply of both numbers are.

The tables shows the sizes and colors of t shirts sold over the past week, To the nearest percent what is the experimental probability that the next customer who buys a t-shirt at the store will buy a large blue t-shirt? Explain how you solved that problemSmall Medium Large
white 32 49 28
blue 12 36 20
Black 20 42 23

Answers

Probability is defined as the fraction, where the numerator is the number of favorable events (in this case number of large blue t-shirts, which is 20 in the table) and the denominator is the number of ALL possible events (in this example it is the sum of all sold t-shirts, when you sum up all the data in the table, you get total of 262 t-shirts).
So, probability that the next t-shirt (large blue) to be sold is:
P = 20/262 = 0.076335877....
which is approximately 0.08 (when rounding to 2 decimal places).
We obtain the percentage of large blue t-shirt being sold next:
P = 8%
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