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Dennis_Churaev [7]
3 years ago
11

What is (x+6)(x+4)(x-3) expand and simplify

Mathematics
1 answer:
mestny [16]3 years ago
7 0

Answer:

x³ + 7x² - 6x - 72

Step-by-step explanation:

Given

(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is

(x + 4)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 4(x - 3) ← distribute both parenthesis

= x² - 3x + 4x - 12 ← collect like terms

= x² + x - 12

Now multiply this by (x + 6) in the same way

(x + 6)(x² + x - 12)

= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis

= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms

= x³ + 7x² - 6x - 72

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chelsea has four hours of free time on saturday. she would like to spend no more than 2/3 of an hour on each activity. how many
shutvik [7]
4 / (2/3) =
4 * 3/2 =
12/2 =
6 activities

OR

2/3(60) = 120/3 = 40 minutes per activity
40 hrs = (60 x 40) = 240 minutes
240/40 = 6 activities
4 0
3 years ago
Please help me answer ASAP
bagirrra123 [75]

Answer: the answer is approximately 41.65428, not rounded (maybe re do all the steps just in case)

Step-by-step explanation:

1. label the space between X and W the unknown.

2. You will be using SOH-CAH-TOA

3. Label the X as the opposite because it is the opposite side of where your degree is located.

4. Label five as adjacent because it’s next to the degree.

5. You will use TOA since you have adjacent and opposite values.

6. Write the equation tan58=x/5, the unknown goes on the top because O is first, the five goes on the bottom because A is last on TOA.

7. After you have the equation time 5 on both sides leaving you out with (5)tan58=x

8. On your calculator time (5)tan58 which will give you x.

6 0
2 years ago
A square has a perimeter of 64cm. What is the length of each side? please explain!!!
bearhunter [10]

Answer:

P=4s

64=4s

64÷4=16

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Step-by-step explanation:

6 0
3 years ago
the volume of a soap bubble is 2,308.4 mm ^3. Find the radius and diameter of the soap bubble. Use 3.14 for pi​
NeX [460]

Answer:

r = 8.2mm

d = 816.4mm

Step-by-step explanation:

Let the soap be spherical in nature

Volume of a sphere = 4/3 πr³

r is the radius

Given that V = 2308.4mm^3

Substitute

2308.4 = 4/3 πr³

2308 = 4/3 (3.14)r³

2308.4 * 3 = 12.56r³

6,925.2 = 12.56r³

r³ = 6,925.2 /12.56

r³ = 551.37

r = 8.2mm

diameter = 2r

diameter = 2(8.2)

diameter = 16.4mm

6 0
3 years ago
Simple interest. $563,2.5%, 3 years
ella [17]
Yea I tink itss 7000 dollas ya
6 0
3 years ago
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