All categories

2 years ago

Factor each expression.

Mathematics

2 answers:

anygoal [31]2 years ago

4 0

3x^2 – 5x – 12 = (3x+4)(x-3)
x^2 -9 = (x-3)^2
8x^3+ 12x^2 - 2x - 3 = (4x^2 - 1)(2x + 3)
12x^2 +16x -3= (6x - 1)(2x + 3)
x^2 + 8x - 9= (x + 9)(x - 1) (I can not see who it can all be positive ;_; )
3(x + y) + a(x + y)= (3x + 3y) + (ax + ay)

geniusboy [140]2 years ago

4 0

7. 3x² - 5x - 12
    3x² - 9x + 4x - 12
    (3x + 4)(x - 3)

8. x² - 9
    x² + 3x - 3x - 9
   (x - 3)(x + 3)

9. 8x³ + 12x² - 2x - 3
    (8x³ + 12x² - 2x - 3)
    (4x² - 1)(2x + 3)

10. 12x² + 16x - 3
      12x² + 18x - 2x - 3
    (6x - 1)(2x + 3)

11. x² + 8x + 9
      (x² + 9x - x + (-9))
      (x - 1)(x + (-9))

Extra Credit: 3(x + y) + a(x + y)
   3(x) + 3(y) + a(x) + a(y)
   3x + 3y + ax + ay
   3x + ax + 3y + ay
   (3 + a)x + (3 + a)y

You might be interested in

Please help me with this question!!

lidiya [134]

Answer:

Step-by-step explanation:

Mabye 7?

4 0

2 years ago

Eric jogged for 47 minutes, ending at 3:35 p.m. When did Eric start his jog?

Mila [183]

Answer:

im pretty sure its c

Step-by-step explanation:

4 0

2 years ago

The sum of two numbers is 225. The difference of the same two numbers is 35.What are the 2 numbers?

Ksivusya [100]

Answer:

130 and 95

Step-by-step explanation:

Calculator

4 0

2 years ago

Landon finds that the school cafeteria has 8,000 milliliters of grape juice, 4.2 liters

KengaRu [80]

Answer:

1) Part A)

Liters Mililiters

1 1,000

5 5,000

8 8,000

14 14,000

2) Part B)

One way to convert 4.2 liters to milliliters is to  multiply  the number of liters by the number of milliliters in 1 liter. This means there are  4,200 milliliters in 4.2 liters. The cafeteria has the greatest amount of  orange juice, the second greatest amount of  grape  juice, and the least amount of  cranberry juice.

Explanation:

1) Data:

Grape juice: 8,000 mililiters

Cranberry juice: 4.2 liter

Orange juice: 12,000 mililiters

There are 1,000 mililiers in 1 liter

2) Part A:

Table:

The table is garbled. This is what the tables could look like:

Liters Mililiters

1 1,000

5 5,000

8 8,000

14 14,000

You can see that the table shows a direct relationship between the number of mililiters and the number of liters:

1,000/1 = 1,000
5,000/5 = 1,000
8,000/8 = 1,000

14,000/14 = 1,000

number of mililiters / liters = 1,000

3) Part B)

Fill in the blanks to explain how Landon can convert 4.2 liters of cranberry juice to mililiters so he can compare the amounts of the different juices:

i) One way to convert 4.2 liters to milliliters is to  multiply  the number of

liters by the number of milliliters in 1 liter.

As demonstrated above there is a direct relationship between the number of mililiters and the number on liters, then you must multiply the number of liters by the proportionality constant to find the number of mililiters.

ii) This means there are  4,200 milliliters in 4.2 liters.

That is the product 4.2 × 1,000 = 4,200.

iii) The cafeteria has the greatest amount of  orange juice, the second greatest amount of  grape  juice, and the least amount of  cranberry juice.

Rank the amounts:

12,000 > 8,000 > 4,200

↑ ↑ ↑

orange grape cranberry

8 0

2 years ago

What is the minimum number of clients the travel agent should survey? Note that z=1.96 for a 95% confidence interval.

slega [8]

Answer:

121

Step-by-step explanation:

Given data as per the question

Standard deviation = $\sigma$ = 840

Margin of error = E = 150

Confidence level = c = 95%

For 95% confidence, z = 1.96

based on the above information, the minimum number of clients surveyed by the travel agent is

$n = (\frac{z\times \sigma}{E})^2$

$= (\frac{1.96\times 840}{150})^2$

= 120.47

= 121

hence, the 121 number of clients to be surveyed

Therefore we applied the above formula to determine the minimum number of clients

4 0

2 years ago