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3 years ago

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.

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)