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yan [13]
3 years ago
9

Factor: 28k^3-24k^2+49k-42 I will give Brainliest to the first person :)

Mathematics
2 answers:
GrogVix [38]3 years ago
7 0

Answer:

(7k - 6) (4k^{2} + 7)

Step-by-step explanation:

28k^{3} - 24k^{2} + 49k - 42

= (28k^{3} - 24k^{2}) + (49k - 42)

= 4k^{2} (7k - 6) + 7 (7k - 6)

= (7k - 6) (4k^{2} + 7)

seropon [69]3 years ago
5 0

Answer:

(4k^2+7)(7k-6)

Step-by-step explanation:

Factor each half of the expression separately:

4k^2(7k-6)+7(7k-6)

Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:

(4k^2+7)(7k-6)

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A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 16ft fro
makkiz [27]

46.78

Step-by-step explanation:

you divide 16 by the cos of 70 and it turns out to be 46.78

3 0
3 years ago
Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The
ExtremeBDS [4]

Answer:

  • 800 kph
  • 600 kph

Step-by-step explanation:

<u>Equation</u>

Let s represent the speed of the faster plane. Then its travel time is ...

  time = distance/speed = 3600/s

travel time for the slower plane is ...

  time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

  3600/(s -200) -3600/s = 1.5

<u>Solution</u>

Multiplying by (2/3)s(s -200), we get ...

  2400(s) -2400(s -200) = s(s -200)

  s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

  (s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

<u>Conclusion</u>

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

<em>Check</em>

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

6 0
3 years ago
What is 17 divided by 18​
Liono4ka [1.6K]

Answer:

1.05

Step-by-step explanation:

6 0
3 years ago
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Katena32 [7]

Answer:

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5 0
3 years ago
Find the eighth term of the
Pie

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio, hence

a_{8} = 6 × (-1/3)^{7} = 6 × - \frac{1}{3^{7} } = 6 × - \frac{1}{2187} = - \frac{2}{729}

7 0
3 years ago
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