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BARSIC [14]
3 years ago
10

Factor completely. x 3 + 6x 2 - 4x - 24

Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0
You can factor (x^3 and 6x^2) and (-4x and -24).

So x^2(x+6) - 4(x+6)

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

(x-2)(x+2)(x+6)
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The average of eight different numbers is 5. If 1 is added to the largest number, what is the resulting average of the eight num
Yuliya22 [10]

Answer:

Step-by-step explanation:

X/8 = 5

X = 40

Adding 1 to the largest number (or any other of the numbers, for that matter) makes the sum 41 and the average 41/8 or 5 1/8.

3 0
2 years ago
During a week-long dry spell, the water level in a pond decreased by 4 in. Per day, except for two days when it decreased by hal
Helga [31]

Answer:

24 inches.

Step-by-step explanation:

Given:

During a week the water level in a pond decreased by 4 in. Per day,

For two days, it decreased by half that amount = 4\times\frac{1}{2}=2\ inches\ per\ day

Question asked:

How much did the water level decrease in the pond in one week?

Solution:

As we know, there are 7 days in a week.

<u>For 5 days,</u>

Each day water level decreased by = 4 inches

In 5 days, water level decreased by = 4\times5=20\ inches

<u>For exceptional 2 days:</u>

Each day water level decreased by = 2 inches

In 2 days, water level decreased by = 2\times2=4\ inches

Water level decreased in whole week = 20 + 4 = 24 inches

Therefore, water level decreased 24 inches in the pond in one week.

7 0
3 years ago
Pleaseee i need some help on these 3 questions
Zepler [3.9K]

Answer:

a) the product is equal to 953.

b) the product is greater than 443.

c) the product is greater than 181.

Step-by-step explanation:

a) 953 × 63/63 = 953

Therefore, the product is equal to 953.

b) 443 × 86/79 = 482.25

Therefore, the product is greater than 443.

c) 181 × 30/28 = 193.93

Therefore, the product is greater than 181.

Hope this helps =)

6 0
2 years ago
The layer of gold coating on a ring should be 0.03 millimeters thick when the ring is completed. A coating of 0.021 millimeters
Arisa [49]
The amount of gold coating in millimeters needed for the ring is the difference between the total coating and the coating that has already been applied. From the given above, that would be,
                                    0.03 mm - 0.021 mm = 0.009 mm
Thus, the answer to this question is letter B. 
6 0
3 years ago
Read 2 more answers
Mis Meyer's paid $3600 all together for the equipment, furniture and decorations for her restaurant. The equipment cost $500 mor
Tju [1.3M]

Answer:

The equipment will cost $1740.

Step-by-step explanation:

Let the Cost of equipment, furniture and decoration be x, y and z.

Now, According to question,

x + y + z = 3600 ...... (1)  (cost of all items)

x = 500 + y (∵ equipment cost 500 more than furniture)

and y = 2z ( ∵ furniture twice as much as decoration)

so, z = y/2

Now substituting the value of x and z in eq (1)

x + y + z = 3600

500 + y + y + \frac{y}{2} = 3600

2y + \frac{y}{2} = 3600 - 500

\frac{5y}{2} = 3100

y = \frac{3100\times 2}{5} = 1240

So, the cost of furniture (y) = 1240

∴ Cost of equipment = y + 500 = 1240 + 500 = 1740

Therefore the cost of equipment was $1740.

3 0
3 years ago
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