MATHEMATICS HIGH SCHOOL

Convert the polynomial equation y=(x+2)(x-6)(x+7) from factored form to general form

Answers

Answer 1

Answer:

y = (x+2)(x-6)(x+7)

(x+2)(x+7)
x^2 - 6x + 2x - 12
x^2 - 4x - 12

(x^2 - 4x - 12)(x + 7)
x^3 + 7x^2 - 4x^2 - 28x - 12x - 84
x^3 + 3x^2 - 40x - 84

y = x^3 + 3x^2 - 40x - 84

Answer 2

Answer: $y = (x + 2) (x -6) (x + 7) \n \n i.e, y = (x+2) (x^2 - x - 42) \n\n => y = x^3 + 3x^2 - 40x - 84$

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In your office 1/8 of 288 employees work part-time how many are part-time

Answers

That would be 1/8 times 288, so the answer would be 36 part time workers.

Final answer:

You can find the number of part-time employees by multiplying the total employees by the fraction of part-time workers. In this case, that results in 36 part-time employees.

Explanation:

To determine the number of employees who work part-time, we need to multiply the total number of employees (which is 288) by the fraction representing part-time workers (1/8).

So, 288 * 1/8 = 36. Therefore, there are 36 employees who work part-time in your office.

Learn more about Fraction Multiplication here:

brainly.com/question/27267146

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The students put recycling bins for cans and bottles in the cafeteria and teaches lounge. At the end of last week, there was a total of 48.9 pounds of cans and bottles. They split them evenly into 3 bags. How many pounds were in each bag?

Answers

Answer:

16.3

Step-by-step explanation:

There was a total of 48.9 pounds of cans and bottles

They were split evenly in 3 bags

Hence the number of each pounds in the bag can be calculated as follows

= 48.9/3

= 16.3

Hence 16.3 pounds are found in each bags

LaTeX: \frac{16}{24} 1624 in simplest form?

Answers

Answer:

Im so sorry, I dont know the answer and accidentally clicked on it. It wont let me get out of this... SO SORRY!

Step-by-step explanation:

none

Solve the following system:y = x + 3
2x + y = 9

(2, 5)
(5, 2)
(−2, 5)
(2, −5)

Answers

Hi,

y = x+3
2x+y = 9

2x+(x+3) = 9
2x+x+3 = 9
3x+3 = 9
3x = 9-3
3x = 6
x = 6/3
x = 2

y = x+3
y = 2+3
y = 5

Answer:

(x,y) = (2,5)

ahhh easy:) all we have to do is plug in y
sooo this question becomes
2x + x + 3 = 9
we add the xs and they become 3x
soooo
3x + 3 = 9
now subtract 3 from both sides
3x +3 = 9
- 3 = -3
they cancel out on the left hand side and the right side of the equal sign becomes a 6
sooooo
3x = 6
divide both sides by 3
3x = 6
÷3 = ÷ 3
the 3s on the left side cancel out
and the right side becomes 2
sooooo
x = 2
but before we can answer this completely we plug it into our first equation
soooo
y = x + 3
to this
y = 2 + 3
so y = 5
x = 2
y = 5
coordinates?
(2, 5)

0.3(y+2)=1.7+(8-y) solve the following equation